Wikiversity enwikiversity https://en.wikiversity.org/wiki/Wikiversity:Main_Page MediaWiki 1.48.0-wmf.3 first-letter Media Special Talk User User talk Wikiversity Wikiversity talk File File talk MediaWiki MediaWiki talk Template Template talk Help Help talk Category Category talk School School talk Portal Portal talk Topic Topic talk Collection Collection talk Draft Draft talk TimedText TimedText talk Module Module talk Event Event talk 4 1558 2844444 2843617 2026-11-04T10:38:51Z TechBenchmarkHQ 3113811 Added technical performance benchmarks and reference guide 2844444 wikitext text/x-wiki {{Please leave this line alone (sandbox heading)}} == Mobile Performance and Memory Management Engineering == Developing resource-intensive applications for modern mobile operating systems requires strict control over system resources. Improper handling of dynamic memory can lead to severe hardware throttling, UI latency, and runtime crashes. === Core Optimization Fundamentals === * '''System RAM Optimization:''' Allocating static and dynamic memory efficiently to prevent process termination by the operating system. * '''Heap Allocation Tracking:''' Managing garbage collection cycles to identify and resolve memory leaks in real time. * '''GPU Acceleration:''' Delegating complex render tree calculations directly to dedicated graphics processing hardware. === Technical References === For complete configuration standards, architectural benchmarks, and setup manuals, developers can consult the [[https://onlineapp.pk/999v-game-download/ 999V Guide]] for detailed technical specifications. ae268tu7oi9mahbrk6unuu2k19n9mzf 102 24393 2844306 2802102 2026-11-03T21:32:30Z KyleWii 3113193 2844306 wikitext text/x-wiki * [[Academic writing]] contains a list of articles written by scholars in a workshop for learners of English as a second language. * [[ALISON]] is a FREE [Advertisement Funded] learning resource of interactive certification-based learning, focusing on proprietary software. *[[Aquaculture Project|Aquaculture - Economic, Political, Social and Scientific Perspectives]] *[[Astronomy Project]] - Project participants access public astronomy databases and explore outer space. *[[Bloom clock project]] - an attempt to create a language for discussing the bloom times of wildflowers and other plants that is neutral in respect to climate, region, and hemisphere. *[[Building Automation]] - A project to standardize the education requirements and learning resources of building automation professionals. *[[Composing free and open online educational resources]] - The course reading and the assignments of this class will familiarize the participants with the main concepts related to open education resources and to the historical and philosophical ideas behind them. *[[Computer Aided Design Course|CAD]] - Computer Aided Design and Analysis for engineers. Learn how to design and analyze systems, machines, parts in 2D and 3D. *[[Cell biology improvement drive]] - [[Wikiversity:Service community|service]]-oriented project. *[[Chain mail]] - How to make a suit of chain mail armour. Involves actually making a suit from simple materials. *[[Collaborate and Create In-service]]- a professional development collaborative for teachers interested in computer technology integration aligned to relevant curriculum with a focus on OLPT[[[OLPT]]] *[[College Algebra]] - Basic mathematics on a college level. *[[Flycatcher]] - How to make a custom fly rod. *[[German Home Immersion School]] - How to build a customized immersion school wherever you are! *[[Glossary of geology terms|Glossary of Geology Terms]] *[[Introduction to Elasticity|Elasticity]] - An introductory course on elasticity theory for all engineers, mathematicians, physicists, and biologists who are interested in stresses and deformations of elastic solids. *[[History of Europe to 1648]] – A comprehensive survey of European history. *[[History of Ireland through Song]] - Irish History, the fun way. *[[Hitler's Germany|Hitler's Germany]] - A brief study into the workings of the Third Reich. *[[Homeschooling]] - Building resources for parents and children who teach and learn outside of the compulsory public education systems. *[[Human Genetic Uniqueness Project]] - students search for genes that make humans different from other mammals. *[[Topic:Introduction to International Relations|International Relations]] - Help create an introductory course. *[[Learning to learn a wiki way]] - An action research project to investigate ways of learning using a wiki. *[[Lunar Boom Town]] - Want to get rich settling the moon? Come help us figure out how. Excellent business planning practice for budding entrepreneurs of all types and ages. *[[Motivation and emotion]] - Undergraduate psychology lectures and tutorials, with > 1,000 student-contributed assignments on specific topics *[[Public Policy Debate]] Learn to effectively develop and present public policy positions persuasive to enemies and sovereigns and useful to allies. Attempt to establish appropriate grounds, boundary conditions, usefully specific and general definitions and other attributes useful in a learning community. *[[Quiz]] - learn about using the quiz extension in your pages; discuss the educational use of wiki quizzes; develop pages with quizzes. *[[Portal:Reading clubs|Reading Clubs]] *[[Portal:Reading groups|Reading Groups]] *[[Revamping the AP Courses]] - A project to revamp all the AP (Advanced Placement) courses in order to include study notes, examples, assignments, quizzes, and labs. *[[Self Paced Reading Labs]] - A project to develop a set of reading exercises that can be used for self managed reading practice and evaluation. *[[Project:Strategic_Simulations|Strategic Simulations]] - Help develop strategic level simulations for the purposes of learning and teaching military strategy. *[[Portal:The_Science_Behind_Parkinson's|The Science Behind Parkinson's]] - To build an introduction to the science behind Parkinson's; to follow current research progress; to compile and share the information discovered; to discuss its significance. *[[Survey research and design in psychology]] = Undergraduate psychology lectures and tutorials for a research methods and statistics unit, focusing on survey design, correlations, factor analysis, and regression *[[Visual Programming Language]] - To design and create a Graphical or Visual programming language thats freely available under GNU license. *[[Web 2.0 for Professional Use]] - A Web writing class learns how to write, design and effectively use new media in the academic and professional spheres. *[[Wikiversity Distributed Virtual Supercomputer]] - support for group computing projects and mathematical simulations. *[[War Seminar]] - discussions about the history of war as a cultural practice and current wars in the world. *[[Writing Discipline Specific Research Papers]] - Resources for students learning to write university level research projects. ked9yqyvbwqkzvdun3l2u7ue5i29vsp 3 54428 2844365 2843788 2026-11-04T00:13:16Z OhanaUnited 18921 /* Answered to reviewers */ Reply 2844365 wikitext text/x-wiki Thank you for making this happen: [[User:OhanaUnited/Sister Projects Interview]] - I am sure your readers will profit from the better info from all here. Below more info about Wikiversity, ----[[User:Erkan_Yilmaz|Erkan Yilmaz]] <small>uses the [[Wikiversity:Chat|Wikiversity:Chat]] ([http://java.freenode.net//index.php?channel=wikiversity-en try])</small> 18:51, 27 March 2008 (UTC) ==Welcome== '''Hello OhanaUnited, and [[Wikiversity:Welcome, newcomers|welcome]] to [[Wikiversity:What is Wikiversity?|Wikiversity]]!''' If you need [[Help:Contents|help]], feel free to visit my talk page, or [[Wikiversity:Contact|contact us]] and [[Wikiversity:Questions|ask questions]]. After you leave a comment on a [[Wikiversity:Talk page|talk page]], remember to [[Wikiversity:Signature|sign and date]]; it helps everyone follow the threads of the discussion. The signature icon [[Image:Signature_icon.png]] in the edit window makes it simple. To [[Wikiversity:Introduction|get started]], you may <div style="width:50.0%; float:left"> * [[Wikiversity:Guided tour|Take a guided tour]] and learn [[Help:Editing|to edit]]; * Explore our [[Portal:Learning Projects|learning projects]]; * [[Wikiversity:Browse|Browse]] our [[Wikiversity:Portals|portals]], [[Wikiversity:Schools|schools]], and [[Wikiversity:Research|research]] activities; </div> <div style="width:50.0%; float:left"> * Read and help develop our community [[Wikiversity:Policies|policies]]；or * [[Wikiversity:Chat|Chat]] with other Wikiversitans on [irc://irc.freenode.net/wikiversity-en <kbd>#wikiversity-en</kbd>]. </div> <br clear="both"/> And don't forget to [[Wikiversity:Introduction explore|explore]] Wikiversity with the links to your left. [[Wikiversity:Be bold|Be bold]], and see you around Wikiversity! ----[[User:Erkan_Yilmaz|Erkan Yilmaz]] <small>uses the [[Wikiversity:Chat|Wikiversity:Chat]] ([http://java.freenode.net//index.php?channel=wikiversity-en try])</small> 18:51, 27 March 2008 (UTC) == Environmental experts needed :) == Hi OhanaUnited, There have been a number of environmental projects started here and there... a few I can think of offhand: *[[Project proposal:global warming]] -- I'm not sure where that stands now... it was one of the first proposals back in 2006 I think *[[Bloom Clock]] -- Essentially a phenology project... among other things the data collections will hopefully be handy for later projects tracking changes in bloom time as local and global temperature trends change *[[Radio Discussion/Living on Earth]] -- Something a couple of us were experimenting with this past winter, using a radio show as our "lecture" and collecting materials for further learning. I'm not by any means an expert in environmental science, but as a horticulurist and farmer I'm well-versed in managing my local ecology... let me know if you start something! --[[User:SB_Johnny|{{font|color=green|'''SB_Johnny'''}}]] | ^{[[User_talk:SB_Johnny|{{font|color=green|talk}}]]} 15:06, 28 March 2008 (UTC) :See also [[:Category:Ecology]], ----[[User:Erkan_Yilmaz|Erkan Yilmaz]] <small>uses the [[Wikiversity:Chat|Wikiversity:Chat]] ([http://java.freenode.net//index.php?channel=wikiversity-en try])</small> 11:18, 29 March 2008 (UTC) == Commons == Is there a page on commons somewhere with the questions? I'm sure I could round up a few interested commonists on IRC if you give me a link :). --[[User:SB_Johnny|{{font|color=green|'''SB_Johnny'''}}]] | ^{[[User_talk:SB_Johnny|{{font|color=green|talk}}]]} 14:15, 30 March 2008 (UTC) == Clarifications == Hi OhanaUnited, I've asked some questions at [[User talk:OhanaUnited/Sister Projects Interview#Voice(s)]] - I'd appreciate if you could clarify before I contribute to your initiative. Thanks, [[User:Cormaggio|Cormaggio]] ^{<small>[[User talk:Cormaggio|talk]]</small>} 13:54, 1 April 2008 (UTC) == removing == I removed the signatures after names in order to move forward summarizing the answers... and then I saw that you said to not do that... I reverted... How would be best to summarize the answers? --[[User:Remi|Remi]] 04:05, 21 April 2008 (UTC) :I voiced a related question in the "Voice(s)" section on the talk page.. [[User:Cormaggio|Cormaggio]] ^{<small>[[User talk:Cormaggio|talk]]</small>} 12:40, 21 April 2008 (UTC) == Publication date == Hi OhanaUnited, would you be able to let us know when [[User:OhanaUnited/Sister_Projects_Interview|your interview]] will be published? Perhaps either on the talk page or on the [[Wikiversity:Colloquium#User:OhanaUnited/Sister Projects Interview - the earliest publication date is April 21|Colloquium]]. Thanks. [[User:Cormaggio|Cormaggio]] ^{<small>[[User talk:Cormaggio|talk]]</small>} 12:39, 21 April 2008 (UTC) == Font Tag == The font tag is now obsolete. Please adjust your signature to something like: <blockquote> <pre> [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] </pre> </blockquote> Let me know if you have any questions. -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 17:37, 29 May 2018 (UTC) == Reorganised discussion == This is to let you know that the discussion at [[Talk:WikiJournal User Group#Code of Conduct]] has been reorganised to ease constructive inputs that help in updating the [[WikiJournal User Group/Code of conduct draft|document]]. If you would like to summarily oppose implementation of any Code of Conduct, feel free to place your opposition at [[Talk:WikiJournal User Group#Discussion: Whether any Code of Conduct needs to be defined and implemented]]. For any other constructive inputs please feel free to do so at [[Talk:WikiJournal User Group#Discussion: Salient updates that need to be made to the existing draft]]. Thanks for your cooperation. <span style="font-family:Segoe script">[[w:User:Diptanshu Das|<b style="color:#f00">D</b><b style="color:#f60">ip</b><b style="color:#090">ta</b><b style="color:#00f">ns</b><b style="color:#60c">hu</b>]] [[User talk:Diptanshu Das|&#128172;]]</span> 12:20, 16 December 2018 (UTC) == Maps via Wikidata == I remember you were testing maybe plotting a map of editor locations. I've been testing [https://w.wiki/CGk generating a map in Wikidata]. If we include all journal editors on the WikiJournal's page then it's possible to find the geocoordinates of their employer. Eventually it should be automate-able via [[wikidata:Wikidata:Bot_requests#Automated_addition_of_WikiJournal_metadata_to_Wikidata|this bot request]], but would have to be done manually for now. [[User:Evolution and evolvability|T.Shafee(Evo&#65120;Evo)]]^{[[User talk:Evolution and evolvability|talk]]} 06:22, 18 November 2019 (UTC) :Note, [https://w.wiki/CWP updated version] with better interface for multiple points. [[User:Evolution and evolvability|T.Shafee(Evo&#65120;Evo)]]^{[[User talk:Evolution and evolvability|talk]]} 02:48, 23 November 2019 (UTC) == Query at review page == I just noticed there's a query for you at [[Talk:WikiJournal Preprints/Working with Bipolar Disorder During the COVID-19 Pandemic: Both Crisis and Opportunity|this page]] (the editor forgot to ping, or is unaware of the practice). [[User:Evolution and evolvability|T.Shafee(Evo&#65120;Evo)]]^{[[User talk:Evolution and evolvability|talk]]} 09:43, 17 May 2020 (UTC) == Re: A Phonological Analysis of Selected Nigerian Newscasters Rendition == I appreciate your consideration of my article for publication. However, you have not provided an email address where I could send the word version or preferably, I would like to be guided on how to get the article uploaded on wiki commons. Thank you. [[User:Margob28|Margob28]] ([[User talk:Margob28|discuss]] • [[Special:Contributions/Margob28|contribs]]) 07:35, 25 August 2022 (UTC) == The Validity of [[WikiJournal Preprints/The Effect of Corticosteroids on the Mortality Rate in COVID-19 Patients, v2]] == Hello Andrew, I'm coming to you to ask whether the mentioned paper's topic/objective is suitable for publication in the WikiJournal of Medicine. I was going to extensively work on it this summer, but I wanted to get written confirmation that this paper would be suited for my time in developing it. I also wanted to see if a Wikijournal of Humanities paper on Meditation would be suitable. I'm not sure if you're familiar with that wikijournal's guidelines, but I figured it was worth asking. Thank you, —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 21:20, 27 August 2022 (UTC) == Request == Please, I do not know whether you could help upload the article if I send its soft copy as MS word document or pdf to you. Thanks. [[User:Margob28|Margob28]] ([[User talk:Margob28|discuss]] • [[Special:Contributions/Margob28|contribs]]) 03:44, 5 September 2022 (UTC) == Volunteering to help with WikiJournal of Humanities == I kinf of forgot about WikiJournals for a few years, and I am amazed at the progress made. Well, as a real-life professor of sociology, I'd be happy to help with WikiJournal of Humanities which seems to be closed to my field. Do let me know how I can help, assuming of course you need any assistance. (If you reply here, please ping me back, TIA). [[User:Piotrus|Piotrus]] ([[User talk:Piotrus|discuss]] • [[Special:Contributions/Piotrus|contribs]]) 03:31, 8 November 2022 (UTC) == In other news == I am a strict believer in learning from the bottoms up (as a teacher who tells students to edit Wikipedia, for example, I never ask them to do things I haven't done myself before). And it so happens, I have a publication that I think is within the scope of WikiJournal Medicine, and now that I know it is indexed in SCOPUS, it meets my university's requirements too. As I am not yet on the board or such, I think I have no COI, so I decided to went ahead and submit my work at [[WikiJournal Preprints/Where experts and amateurs meet: the ideological hobby of medical volunteering on Wikipedia]] . Before I finish copyediting it (I think I need to upload images to Wikimedia Commons and reformat references to footnotes) and finish the rest of the submission procedure, can I ask you to confirm that this topic is within the scope of WJMED and our previous conversation does not create any COI for me to submit it (I am fine putting my editorial application fpr WJHUM from yesterday on hold for the duration of the review process, if necessary)? Oh, to confirm, WikiJournals allows and prefers non-anonymous submissions, right? So I don't need to anonymize citations to my own work, etc.? [[User:Piotrus|Piotrus]] ([[User talk:Piotrus|discuss]] • [[Special:Contributions/Piotrus|contribs]]) 05:08, 10 November 2022 (UTC) :{{re|Piotrus}} Each WikiJournal (Medicine, Science, Humanities) has separate editorial boards, similar to how "Nature Medicine" and "Nature Chemistry" are two different journals, have different editor-in-chief and different ISSN/DOI even though they are both owned and published by Springer Nature. Each WikiJournal operates and makes article decisions independently from each other while sharing same pool of resources (hired contractors, H/R, overhead cost). Therefore, whether or not you are on the Humanities board will not cause a COI when submitting to Medicine. I am the managing editor for Science, so our conversations won't cause any COI. I will defer your question on whether your preprint falls into the scope of Medicine to [[User:Rwatson1955]], who is the managing editor for the Medicine journal. And yes, we [[WikiJournal of Medicine/Publishing#Duties_of_authors|ask that "authors should be given by real names in their articles"]] so there is no need to anonymize. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 15:58, 10 November 2022 (UTC) ::I submitted [[WikiJournal Preprints/Where experts and amateurs meet: the ideological hobby of medical volunteering on Wikipedia|my article]] two days ago and filled in a Google Form, which suggested I'd receive confirmation email, but nothing happened and the article still has a notice that it is not submitted for review. Any chance you could check from your end if things are fine or ping someone who can, as maybe I haven't clicked something correctly or such? [[User:Piotrus|Piotrus]] ([[User talk:Piotrus|discuss]] • [[Special:Contributions/Piotrus|contribs]]) 14:09, 16 November 2022 (UTC) :::{{re|Piotrus}} That's my fault. Been busy with work. I'll process the new submissions today and update the status. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 15:14, 16 November 2022 (UTC) == Concerning an article == Hello, I'm not sure if you are aware that I have written a new article on Wikiversity, entitled: [[WikiJournal Preprints/Orhan Gazi, the first statesman|Orhan Gazi, the first Statesman]], I started it in September 2022 and finished it in March of the same year, and I was hoping that finding some peer reviewers wouldn't take much time. However, the article remained as it was for more than a year, and I had to ask two professors I know personally to check my work, which they did and their notes were sent in pdf format and added [[Talk:WikiJournal Preprints/Orhan Gazi, the first statesman|here]]. Now the article still needs an editor, before it can be finalized and published, and a fellow Wikipedian, [[User:علاء|Alaa]], suggested your name. I hope that perhaps you could check it. Please let me know what you think, best wishes-- [[User:باسم|باسم]] ([[User talk:باسم|discuss]] • [[Special:Contributions/باسم|contribs]]) 20:17, 7 May 2023 (UTC) == Files Missing Information == Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information. {{colbegin|3}} * [[:File:WikiJournal Bioclogging - ES.pdf]] {{colend}} [[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 15:41, 19 December 2023 (UTC) ==Japanese rendering== Thanks to your help, I could make [[WikiJournal_of_Science/Bioclogging/ja|Japanese translation of bioclogging article]]. I feel that display style of Japanese sentense is wierd, because breakline is restricted to some characters such as "、". Japanese does not break words with spaces, as normal in western languages, and therefore we break lines anywhere. For example, see [[w:ja:バイオクロッギング|Japanese edition of bioclogging article in Wikipedia]]. It can be fixed by using css. For example, in this paragraph バイオクロッギングは、水が浸透する様々な現場で観察される。たとえば、[[w:ja:ため池|ため池]]、浸透トレンチ、[[w:ja:灌漑|灌漑]]水路、[[w:ja:下水処理場|下水処理場]]、人工湿地、廃棄物処分場における遮水ライナー、川床や土壌のような自然環境などである。また、透過反応壁 ([[:w:Permeable reactive barrier|PRB]]) や微生物利用石油増進回収法 ([[:w:Microbial enhanced oil recovery|MEOR]]) などにおいて、[[w:ja:帯水層|帯水層]]における[[w:ja:地下水|地下水]]の流れにも影響を及ぼす。適度な水の浸透速度を保つことが必要とされるような現場では、バイオクロッギングが問題となり、定期的に水を抜くなどの対策が取られることがある。一方で、たとえば、難透水層を作って浸透速度を低下させたり、地盤工学的性質を改善させたりするなど、バイオクロッギングが有効に活用されることもある。 We can set word-break: break-all, and then <span style="word-break: break-all">バイオクロッギングは、水が浸透する様々な現場で観察される。たとえば、[[w:ja:ため池|ため池]]、浸透トレンチ、[[w:ja:灌漑|灌漑]]水路、[[w:ja:下水処理場|下水処理場]]、人工湿地、廃棄物処分場における遮水ライナー、川床や土壌のような自然環境などである。また、透過反応壁 ([[:w:Permeable reactive barrier|PRB]]) や微生物利用石油増進回収法 ([[:w:Microbial enhanced oil recovery|MEOR]]) などにおいて、[[w:ja:帯水層|帯水層]]における[[w:ja:地下水|地下水]]の流れにも影響を及ぼす。適度な水の浸透速度を保つことが必要とされるような現場では、バイオクロッギングが問題となり、定期的に水を抜くなどの対策が取られることがある。一方で、たとえば、難透水層を作って浸透速度を低下させたり、地盤工学的性質を改善させたりするなど、バイオクロッギングが有効に活用されることもある。</span> Setting this to all paragraphs may be a solution. I would like to know if there is a smarter way to do the same thing. [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 08:55, 16 February 2024 (UTC) :@[[User:Katsutoshi Seki|Katsutoshi Seki]] Thanks for raising this issue. I can read and write in Chinese (and therefore I can read Japanese Kanji) so I understand what you're describing about the software not finding spaces to break up words to the next line. I have [https://en.wikiversity.org/w/index.php?title=WikiJournal_of_Science%2FBioclogging%2Fja&diff=2606145&oldid=2605982 forced] the software to consider appropriate line break locations. I'm confident with the line breaks in Kanji but less so in Katakana and Hiragana. And I don't know how it may look like under different computer screens (or mobile phone). Please review and see if the line breaks are done accurately. Also, can you please provide a Japanese translation for the phrases "For the English translation, please see this link." and "For the Japanese translation, please see this link."? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 22:49, 16 February 2024 (UTC) :: Unfortunately, giving <nowiki>{{wbr}}</nowiki> to some places does not help much, because appropriate place for breaking line changes to various width of windows. Therefore, using <nowiki><span style="word-break: break-all"></nowiki> to all paragraphs, as I showed above, is necessary. I would like to know if there is an appropriate way to change the stylesheet in the page at once. For the translation, "For the English translation, please see '''this link'''."　to "英語版は'''このリンク'''参照", and "For the Japanese translation, please see '''this link'''." to "日本語版は'''このリンク'''参照" [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 01:39, 17 February 2024 (UTC) :::Thanks for verifying. I have removed {{tl|wbr}} and added <nowiki><span style="word-break: break-all"></nowiki>. It doesn't seem very effective to bulleted items. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 04:35, 17 February 2024 (UTC) :::: I also added css to bulleted items. Now it works find. [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 04:50, 17 February 2024 (UTC) :::: I created [[Template:BreakAll]] and applied. ChatGPT was helpful for creating the LUA module. [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 12:55, 17 February 2024 (UTC) == Article progress == Hi Ohana, it was great to meet you at the conference in November. I finally got around to finishing the revisions for [[WikiJournal Preprints/The Holocaust in Slovakia]]. As we discussed, I didn't expand the scope of the article to include Romani people, and I was unable to implement some of reviewer #2's comments because the information that would clarify is not in the cited source, or any other source that I'm aware of. Sorry for the very long delay on this article and I apologize if this is not the right forum to report progress. [[User:Buidhe|Buidhe]] ([[User talk:Buidhe|discuss]] • [[Special:Contributions/Buidhe|contribs]]) 03:45, 21 February 2024 (UTC) :Hi @[[User:Buidhe|Buidhe]], our apologies for the very long delay in replying to you. [[User:Fransplace|Fransplace]], the editor-in-chief for WikiJournal of Humanities, will be looking at your submission shortly. Since we already received two reviewers' comments and you have completed your revisions, are you ok with continuing with the submission process? I think we are on the home stretch with very few items remaining. Can you add your comments to the reviews to mark which items you have completed and which ones you cannot implement? This will speed up the review process. It probably will not take long for Fransplaces to render her publication decision once she has gone through the comments and your rebuttals. Many thanks for your patience! [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 23:06, 26 March 2025 (UTC) == Mail == {{ygm}} [[User:Serial Number 54129|Serial Number 54129]] ([[User talk:Serial Number 54129|discuss]] • [[Special:Contributions/Serial Number 54129|contribs]]) 12:04, 26 March 2024 (UTC) ==new submissions/need to be imported== Hi, I noticed there are two new submissions (from new editors) at https://en.wikipedia.org/wiki/Wikipedia:WikiJournal_article_nominations, thank you --[[User:Ozzie10aaaa|Ozzie10aaaa]] ([[User talk:Ozzie10aaaa|discuss]] • [[Special:Contributions/Ozzie10aaaa|contribs]]) 11:59, 1 April 2024 (UTC) :I don't have the required permission to import articles from Wikipedia to Wikiversity. I will need the "transwiki importer" permission, presumably to preserve article history and proper copyright attribution. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 04:40, 15 April 2024 (UTC) ==A message from Guy vandegrift== Hi. I am so-called "founder" of the WikiJournal of Science (although dozens of people contributed much more than I ever did.) I was wondering if the WikiJournal project needs help. If so, let me know.----[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 01:25, 13 April 2024 (UTC) :Yes, I'll email you with the details. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 03:58, 15 April 2024 (UTC) ::@[[User:Guy vandegrift|Guy vandegrift]] Did you receive the email that I sent last week? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 18:17, 22 April 2024 (UTC) :::I will look for it.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:17, 22 April 2024 (UTC). ::::My guess is that you used the google wikijournal system and it went to a google email I rarely check. I just sent you an email through Wikiversity. Meanwhile I will lookup my google email password and probably find your message.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:35, 22 April 2024 (UTC) == [[WikiJournal_Preprints/Induced_stem_cells]] == Hello, I assume that you are involved in the management of Wikijournals and their preprints. Thank you for your contributions. I'm sending this message to alert you that a preprint is currently subject to copyright-related investigations, this may affect the preprint review procedure and I thought someone who knows more about Wikijournals should be contacted. The background information can be seen at [[Wikiversity:Request_custodian_action#Induced_stem_cells_copyright_issues]]. In your opinion, what should be done by the custodians for this preprint? I look forward to hearing from you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:02, 6 June 2024 (UTC) :Thanks for bringing this to our attention. What you described is very concerning. We did [[Talk:WikiJournal Preprints/Induced stem cells#Plagiarism check|conduct a plagiarism check]] 3 years ago when the preprint was submitted and it was determined that the similarities were deemed to be common phases in that field. Right now the tool is timing out due to high request volume so I can't do another check now. I'm going to ping @[[User:Evolution and evolvability|Evolution and evolvability]] since he's the handling editor for this submission and he knows more about cells & proteins than me. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 04:15, 6 June 2024 (UTC) == Question about the WikiJournal license status == Hello. At [[Special:Diff/2639304]], [[User:MGA73]] asked about the Wikijournal license status, so I'm forwarding the question here. Do you know anything about this? Should we contact [[User:Evolution and evolvability]]? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 08:02, 30 July 2024 (UTC) == Preprint related to Wikidata == Hello! I have written an article titled "[[WikiJournal Preprints/Is there a relationship between volcanoes and earthquakes based on Wikidata?|Is there a relationship between volcanoes and earthquakes based on Wikidata?]]". Could you please include this preprint in the list of [[WikiJournal of Science/Potential upcoming articles|Potential upcoming articles]]? -- [[User:AKA MBG|Andrew Krizhanovsky]] ([[User talk:AKA MBG|discuss]] • [[Special:Contributions/AKA MBG|contribs]]) 14:17, 17 February 2025 (UTC) :@[[User:AKA MBG|AKA MBG]] Hello, not sure why I didn't get a notification when you leave this message. I have taken a look at your preprint. Unfortunately I don't think we have the expertise in our editorial board to take on the role for potential publication of your submission. As a general and personal comment, I think you need to tighten up the paper by drawing comparison with existing literature around SPARQL and Wikidata, such as [https://link.springer.com/chapter/10.1007/978-3-319-46547-0_10] and [https://link.springer.com/chapter/10.1007/978-3-031-33455-9_40] [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 02:00, 24 March 2025 (UTC) == Status of WikiJournals == Good morning, I have had an article submitted to WikiJournal PrePrints since October 2024. It seems that the chair of the WikiJournal Usergroup (E&E) is entirely inactive, and I'm not sure what your status is as editor-in-chief of the science journal. If these projects are not currently working, then there should be some kind of alert given so people don't submit articles that will never be reviewed. If they are currently working, please let me know what the next steps in the process are for my submitted article. If there is any way I can help with other articles as well, I am happy to do so. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 14:00, 6 March 2025 (UTC) :@[[User:Fritzmann2002|Fritzmann2002]] Hello, it has been busy for many of us at the board over the past few months focusing on the grant request and sustainability of the user group, and all of us serving in volunteer capacity with a daytime job. I should have a handling editor for your submission ([[WikiJournal Preprints/Hypericum sechmenii]]) within 2 weeks. Thanks. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 01:45, 24 March 2025 (UTC) ::@[[User:OhanaUnited|OhanaUnited]], thanks for your response, and apologies for the brusque nature of my original message. I appreciate the work that you do, and want to reiterate my desire to assist in any way that I can! [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 01:45, 25 March 2025 (UTC) == [[WikiJournal of Psychology, Psychiatry and Behavioral Sciences]] == Hi OhanaUnited, I'm planning on working on a paper for the WikiJournal of PPB regarding mental health in Sri Lanka (which does not seem to have a corresponding Wikipedia article, so I think this would be a very good start; especially as an aspiring clinical PhD student). I wanted to double check and make sure that this WikiJournal has personnel that can peer-review the article for submission, as there seems to be [[WikiJournal of PPB/Editors|no associate editors]] and the social medias (FB & X accounts) for this specific WikiJournal do not exist [anymore?]. Is this WikiJournal still active and can editors be assigned to my paper once its ready for peer-review? Thank you & thank you to the team for all the work you guys do! —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 14:57, 8 May 2025 (UTC) :Hi, unfortunately I don't have any updates for WikiJournal of PPB on its launch date since the person in charge is on extended absence. I would recommend that you select either WikiJournal of Medicine (since it's mental health) or select another journal with compatible copyright license to publish. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 15:16, 8 May 2025 (UTC) ::I'll work on this paper through the WikiJournal of Medicine then, thanks! —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 19:51, 8 May 2025 (UTC) :::No problem. Thanks for your ongoing support of the journal. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 13:30, 9 May 2025 (UTC) == WikiJournal article nominations == Hi OhanaUnited. More than 5 months ago I have nominated the page [[w:Diffeology|Diffeology]] for submission at the Wikijournal of Science, adding a line at the bottome of the page [[w:Wikipedia:WikiJournal article nominations|Wikipedia:WikiJournal article nominations]]. Unfortunately, nobody has created the corresponding preprint at [[WikiJournal Preprints|Wikijournal Preprints]], hence I cannot proceed yet with the formal submission. Since I had already a very positive experience publishing another paper ([[WikiJournal of Science/Poisson manifold|Poisson manifold]]) in the Wikijournal of Science, in the past months I tried, without success, to contact by email the editors who took care of it. I am therefore trying to reach you here. As I wrote also to them, I noticed that at [[w:Wikipedia:WikiJournal article nominations|Wikipedia:WikiJournal article nominations]] there are links to several other wikipedia pages which have not been converted to a preprint, despite being many months old. I am therefore wondering if that page is still maintained and with which frequency. This issue was also discussed on [[Talk:WikiJournal User Group#Wikipedia:WikiJournal article nominations is dead]]. I understand that you and the rest of the editorial board has a lot to do and therefore it might be just a matter of waiting. As another user pointed out ([[User talk:OhanaUnited#Status of WikiJournals]]), if there is anything I could do in order to speed up the review process, e.g. creating the preprint page myself, please let me know. In that case (i.e. if the author is allowed to import the page directly from wikipedia), I would suggest to clarify it in [[WikiJournal User Group/Editorial guidelines#Importing from Wikipedia]], since these instructions do not specify exactly who is in charge of importing the page. Thanks a lot in advance! [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 10:08, 16 September 2025 (UTC) :Hi, an update. @[[User:Marshallsumter|Marshallsumter]] has suggested me in the nomination page to proceed with the import myself. As per our discussion in [[wikipedia:User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints|User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints]], I did attempt to import the page manually at [[WikiJournal Preprints/Diffeology]] and filled in the Authorship declaration form (providing the authors information, suggesting reviewers, etc. and mentioning also that I did the import manually). :One issue is that [[Template:Convert links]] has been deactivated just a few days ago, preventing all the links to other Wikipedia pages to be automatically converted. Since this was the only method written in [[WikiJournal User Group/Editorial guidelines#Importing from Wikipedia]], do you know if there are some alternatives, in order to avoid to do it manually? Besides that, I'm also not sure how to make the line "Additional contributors: Wikipedia community" appear under the two names of the authors. :I would appreciate if you or somebody from the editorial board could have a look at these minor issues, so that the review process could start soon. Thanks again! [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 22:41, 21 September 2025 (UTC) ::@[[User:Francesco Cattafi|Francesco Cattafi]] Sorry for the late reply. Did the {{tl|Convert links}} end up working again? I see that the links are present. These functions were created long before I joined so I wouldn't be able to troubleshoot them. Sometimes I find that the bugs end up being caused by the most innocent changes in the back end, just like what I encountered [[Wikiversity:Colloquium#Figure numbers are always 1|two weeks ago]]. In the future, if you have some templates or links that aren't working, post a message on [[Wikiversity:Colloquium]] and someone with more knowledge than me may have a solution ready. In related news, there are now two peer review comments which are posted on [[Talk:WikiJournal Preprints/Diffeology]]. I think {{u|Marshallsumter}} is still looking for at least one more peer reviewer. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 21:01, 9 January 2026 (UTC) :::Hi @[[User:OhanaUnited|OhanaUnited]], thanks for the reply, I didn't know about this Colloquium page. Anyways, the Convert link issue was fixed; I have simply asked the user who deleted that tool to undelete it ([[User_talk:Koavf#Deleting_all_unused_templates]]), so I could use it properly. :::In the coming weeks my coauthor and I will address the two reviewers' comment! [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 15:53, 10 January 2026 (UTC) ::::Thanks for your diligence and troubleshoot why it didn't work! [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 22:12, 2 February 2026 (UTC) :::::Hi, just to let you know that we have addressed all three reviewers' comments. Please let us know if any further revisions are needed or if the article will proceed to the next stage of the editorial process. [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 23:09, 3 March 2026 (UTC) ::::::In case you missed it, your article has been published last week and DOI has been issued. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 03:47, 28 April 2026 (UTC) == Found a potential reviewer == Hello @[[User:OhanaUnited|OhanaUnited]] I hope you are doing well. I write you because some weeks ago, I found a potential reviewer for [[WikiJournal Preprints/Kinematics of the cuboctahedron]] (as we talk about [[Talk:WikiJournal of Science#c-OhanaUnited-20260109204800-Regliste-20260106112200|here]]) and I sent you a mail about it. I'd like to be sure that you indeed received it.<br> On another topic, do you know if there is any progresses on [[WikiJournal Preprints/Pentagram map|my preprint]] ? Best regards, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 16:51, 1 February 2026 (UTC) :Thanks for the reminder. I have emailed you about it. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 21:17, 2 February 2026 (UTC) ::Hello @[[User:OhanaUnited|OhanaUnited]], ::If you have the time, could you answer to my email about the subjects mentioned above, please ? ::Best regards, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 17:21, 3 May 2026 (UTC) :::(Gentle reminder of my previous message.) [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 12:43, 15 May 2026 (UTC) ::::@[[User:Regliste|Regliste]] Only one reviewer accepted my invite to peer review Kinematics of the cuboctahedron. I will send another batch of review invitations later this week. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 14:55, 16 June 2026 (UTC) == Answered to reviewers == Hello @[[User:OhanaUnited|OhanaUnited]], just to inform you that I replied to the three reviewers comments. I don't know if other reviews are on the way, but in any case I remain available for the continuation of the editorial process {{=)}}. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:46, 16 June 2026 (UTC) :I have one more review for Pentagram map that I'm expecting, but the review is not due for another 6 days. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 14:56, 16 June 2026 (UTC) ::Alright, there is no hurry at all. Thank you for the information. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:58, 16 June 2026 (UTC) :::Hi {{ping|OhanaUnited}}, I'm the author of [[WikiJournal_of_Science/Affine_symmetric_group]], and have been thinking of submitting an article based on my recent work on [https://en.wikipedia.org/wiki/Hyperoctahedral_group]. It seems like you have a bit of a backlog, with two mathematics articles pending ([[Talk:WikiJournal_Preprints/Kinematics_of_the_cuboctahedron]] and [[Talk:WikiJournal_Preprints/Pentagram_map]]). Suppose I had a small amount of time to spend to help move one of those two articles towards resolution, so you aren't too over-burdened with math articles; what would be the best way to do that? [[User:JayBeeEll|Joel Brewster Lewis]] ([[User talk:JayBeeEll|discuss]] • [[Special:Contributions/JayBeeEll|contribs]]) 00:48, 21 July 2026 (UTC) ::::@[[User:JayBeeEll|JayBeeEll]] Thanks for the offer. I'm a climatologist so I love any help on the math submissions. We got 4 peer reviews for Pentagram map already so we should be ok on that (our normal # is 2 per submission). I just sent out a small batch of emails today for Kinematics of the cuboctahedron but I can definitely use some help to identify more potential peer reviewers that I can invite for this article's peer review. I haven't checked the submissions lately but I think I can use your help for math submissions (and maybe others too if you're down!) [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 20:41, 22 September 2026 (UTC) :::::Hi @[[User:OhanaUnited|OhanaUnited]], :::::Sorry to bother, but do you have any news on the advancement of the editorial board on [[WikiJournal Preprints/Pentagram map]] ? I confirmed that I have nothing to add on it. :::::Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 12:25, 23 October 2026 (UTC) :::::Hi OhanaUnited, :::::I would be happy to write a peer review of Kinematics of the cuboctahedron myself (it is broadly within my area of expertise); please send me whatever instructions for referees are standard and I will take a look. :::::Separately, I would encourage you to move ahead with publishing Pentagram map, which is an excellent article and seems to have satisfied all the reviewers. It is a disservice to authors to leave them hanging for months and months. :::::All the best, [[User:JayBeeEll|Joel Brewster Lewis]] ([[User talk:JayBeeEll|discuss]] • [[Special:Contributions/JayBeeEll|contribs]]) 23:23, 1 November 2026 (UTC) ::::::@[[User:JayBeeEll|JayBeeEll]] Thanks. I will send the reviewer instructions to you by wiki's email. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 00:13, 4 November 2026 (UTC) == Greetings! == Hi Andrew! I am OwlyKnight <!-- Also known as NikolasKHF --> We met at Wikimania 2026. I am who interested in developing [[betawikiversity:Halaman Utama|Indonesian Wikiversity]], and, hopefully next, Indonesian WikiJournals. Nice to meet you! [[User:OwlyKnight|OwlyKnight]] ([[User talk:OwlyKnight|discuss]] • [[Special:Contributions/OwlyKnight|contribs]]) 08:57, 25 July 2026 (UTC) :Hello, it was nice to meet you. Since it is easiest to find peer reviewers in English, we continue to support publication in English with additional languages like Indonesian if translated by the author. We can definitely support WikiJournal's presence in Indonesia such as recruiting more individuals to join the editorial boards, assist with peer review process, promote submission of high quality articles to WikiJournal. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 20:35, 22 September 2026 (UTC) 2n5fzgimltxl0l8sz2ks1hd54v1uzpv 2844443 2844365 2026-11-04T10:34:02Z Regliste 3029369 /* Answered to reviewers */ fixed indentation 2844443 wikitext text/x-wiki Thank you for making this happen: [[User:OhanaUnited/Sister Projects Interview]] - I am sure your readers will profit from the better info from all here. Below more info about Wikiversity, ----[[User:Erkan_Yilmaz|Erkan Yilmaz]] <small>uses the [[Wikiversity:Chat|Wikiversity:Chat]] ([http://java.freenode.net//index.php?channel=wikiversity-en try])</small> 18:51, 27 March 2008 (UTC) ==Welcome== '''Hello OhanaUnited, and [[Wikiversity:Welcome, newcomers|welcome]] to [[Wikiversity:What is Wikiversity?|Wikiversity]]!''' If you need [[Help:Contents|help]], feel free to visit my talk page, or [[Wikiversity:Contact|contact us]] and [[Wikiversity:Questions|ask questions]]. After you leave a comment on a [[Wikiversity:Talk page|talk page]], remember to [[Wikiversity:Signature|sign and date]]; it helps everyone follow the threads of the discussion. The signature icon [[Image:Signature_icon.png]] in the edit window makes it simple. To [[Wikiversity:Introduction|get started]], you may <div style="width:50.0%; float:left"> * [[Wikiversity:Guided tour|Take a guided tour]] and learn [[Help:Editing|to edit]]; * Explore our [[Portal:Learning Projects|learning projects]]; * [[Wikiversity:Browse|Browse]] our [[Wikiversity:Portals|portals]], [[Wikiversity:Schools|schools]], and [[Wikiversity:Research|research]] activities; </div> <div style="width:50.0%; float:left"> * Read and help develop our community [[Wikiversity:Policies|policies]]；or * [[Wikiversity:Chat|Chat]] with other Wikiversitans on [irc://irc.freenode.net/wikiversity-en <kbd>#wikiversity-en</kbd>]. </div> <br clear="both"/> And don't forget to [[Wikiversity:Introduction explore|explore]] Wikiversity with the links to your left. [[Wikiversity:Be bold|Be bold]], and see you around Wikiversity! ----[[User:Erkan_Yilmaz|Erkan Yilmaz]] <small>uses the [[Wikiversity:Chat|Wikiversity:Chat]] ([http://java.freenode.net//index.php?channel=wikiversity-en try])</small> 18:51, 27 March 2008 (UTC) == Environmental experts needed :) == Hi OhanaUnited, There have been a number of environmental projects started here and there... a few I can think of offhand: *[[Project proposal:global warming]] -- I'm not sure where that stands now... it was one of the first proposals back in 2006 I think *[[Bloom Clock]] -- Essentially a phenology project... among other things the data collections will hopefully be handy for later projects tracking changes in bloom time as local and global temperature trends change *[[Radio Discussion/Living on Earth]] -- Something a couple of us were experimenting with this past winter, using a radio show as our "lecture" and collecting materials for further learning. I'm not by any means an expert in environmental science, but as a horticulurist and farmer I'm well-versed in managing my local ecology... let me know if you start something! --[[User:SB_Johnny|{{font|color=green|'''SB_Johnny'''}}]] | ^{[[User_talk:SB_Johnny|{{font|color=green|talk}}]]} 15:06, 28 March 2008 (UTC) :See also [[:Category:Ecology]], ----[[User:Erkan_Yilmaz|Erkan Yilmaz]] <small>uses the [[Wikiversity:Chat|Wikiversity:Chat]] ([http://java.freenode.net//index.php?channel=wikiversity-en try])</small> 11:18, 29 March 2008 (UTC) == Commons == Is there a page on commons somewhere with the questions? I'm sure I could round up a few interested commonists on IRC if you give me a link :). --[[User:SB_Johnny|{{font|color=green|'''SB_Johnny'''}}]] | ^{[[User_talk:SB_Johnny|{{font|color=green|talk}}]]} 14:15, 30 March 2008 (UTC) == Clarifications == Hi OhanaUnited, I've asked some questions at [[User talk:OhanaUnited/Sister Projects Interview#Voice(s)]] - I'd appreciate if you could clarify before I contribute to your initiative. Thanks, [[User:Cormaggio|Cormaggio]] ^{<small>[[User talk:Cormaggio|talk]]</small>} 13:54, 1 April 2008 (UTC) == removing == I removed the signatures after names in order to move forward summarizing the answers... and then I saw that you said to not do that... I reverted... How would be best to summarize the answers? --[[User:Remi|Remi]] 04:05, 21 April 2008 (UTC) :I voiced a related question in the "Voice(s)" section on the talk page.. [[User:Cormaggio|Cormaggio]] ^{<small>[[User talk:Cormaggio|talk]]</small>} 12:40, 21 April 2008 (UTC) == Publication date == Hi OhanaUnited, would you be able to let us know when [[User:OhanaUnited/Sister_Projects_Interview|your interview]] will be published? Perhaps either on the talk page or on the [[Wikiversity:Colloquium#User:OhanaUnited/Sister Projects Interview - the earliest publication date is April 21|Colloquium]]. Thanks. [[User:Cormaggio|Cormaggio]] ^{<small>[[User talk:Cormaggio|talk]]</small>} 12:39, 21 April 2008 (UTC) == Font Tag == The font tag is now obsolete. Please adjust your signature to something like: <blockquote> <pre> [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] </pre> </blockquote> Let me know if you have any questions. -- [[User:Dave Braunschweig|Dave Braunschweig]] ([[User talk:Dave Braunschweig|discuss]] • [[Special:Contributions/Dave Braunschweig|contribs]]) 17:37, 29 May 2018 (UTC) == Reorganised discussion == This is to let you know that the discussion at [[Talk:WikiJournal User Group#Code of Conduct]] has been reorganised to ease constructive inputs that help in updating the [[WikiJournal User Group/Code of conduct draft|document]]. If you would like to summarily oppose implementation of any Code of Conduct, feel free to place your opposition at [[Talk:WikiJournal User Group#Discussion: Whether any Code of Conduct needs to be defined and implemented]]. For any other constructive inputs please feel free to do so at [[Talk:WikiJournal User Group#Discussion: Salient updates that need to be made to the existing draft]]. Thanks for your cooperation. <span style="font-family:Segoe script">[[w:User:Diptanshu Das|<b style="color:#f00">D</b><b style="color:#f60">ip</b><b style="color:#090">ta</b><b style="color:#00f">ns</b><b style="color:#60c">hu</b>]] [[User talk:Diptanshu Das|&#128172;]]</span> 12:20, 16 December 2018 (UTC) == Maps via Wikidata == I remember you were testing maybe plotting a map of editor locations. I've been testing [https://w.wiki/CGk generating a map in Wikidata]. If we include all journal editors on the WikiJournal's page then it's possible to find the geocoordinates of their employer. Eventually it should be automate-able via [[wikidata:Wikidata:Bot_requests#Automated_addition_of_WikiJournal_metadata_to_Wikidata|this bot request]], but would have to be done manually for now. [[User:Evolution and evolvability|T.Shafee(Evo&#65120;Evo)]]^{[[User talk:Evolution and evolvability|talk]]} 06:22, 18 November 2019 (UTC) :Note, [https://w.wiki/CWP updated version] with better interface for multiple points. [[User:Evolution and evolvability|T.Shafee(Evo&#65120;Evo)]]^{[[User talk:Evolution and evolvability|talk]]} 02:48, 23 November 2019 (UTC) == Query at review page == I just noticed there's a query for you at [[Talk:WikiJournal Preprints/Working with Bipolar Disorder During the COVID-19 Pandemic: Both Crisis and Opportunity|this page]] (the editor forgot to ping, or is unaware of the practice). [[User:Evolution and evolvability|T.Shafee(Evo&#65120;Evo)]]^{[[User talk:Evolution and evolvability|talk]]} 09:43, 17 May 2020 (UTC) == Re: A Phonological Analysis of Selected Nigerian Newscasters Rendition == I appreciate your consideration of my article for publication. However, you have not provided an email address where I could send the word version or preferably, I would like to be guided on how to get the article uploaded on wiki commons. Thank you. [[User:Margob28|Margob28]] ([[User talk:Margob28|discuss]] • [[Special:Contributions/Margob28|contribs]]) 07:35, 25 August 2022 (UTC) == The Validity of [[WikiJournal Preprints/The Effect of Corticosteroids on the Mortality Rate in COVID-19 Patients, v2]] == Hello Andrew, I'm coming to you to ask whether the mentioned paper's topic/objective is suitable for publication in the WikiJournal of Medicine. I was going to extensively work on it this summer, but I wanted to get written confirmation that this paper would be suited for my time in developing it. I also wanted to see if a Wikijournal of Humanities paper on Meditation would be suitable. I'm not sure if you're familiar with that wikijournal's guidelines, but I figured it was worth asking. Thank you, —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 21:20, 27 August 2022 (UTC) == Request == Please, I do not know whether you could help upload the article if I send its soft copy as MS word document or pdf to you. Thanks. [[User:Margob28|Margob28]] ([[User talk:Margob28|discuss]] • [[Special:Contributions/Margob28|contribs]]) 03:44, 5 September 2022 (UTC) == Volunteering to help with WikiJournal of Humanities == I kinf of forgot about WikiJournals for a few years, and I am amazed at the progress made. Well, as a real-life professor of sociology, I'd be happy to help with WikiJournal of Humanities which seems to be closed to my field. Do let me know how I can help, assuming of course you need any assistance. (If you reply here, please ping me back, TIA). [[User:Piotrus|Piotrus]] ([[User talk:Piotrus|discuss]] • [[Special:Contributions/Piotrus|contribs]]) 03:31, 8 November 2022 (UTC) == In other news == I am a strict believer in learning from the bottoms up (as a teacher who tells students to edit Wikipedia, for example, I never ask them to do things I haven't done myself before). And it so happens, I have a publication that I think is within the scope of WikiJournal Medicine, and now that I know it is indexed in SCOPUS, it meets my university's requirements too. As I am not yet on the board or such, I think I have no COI, so I decided to went ahead and submit my work at [[WikiJournal Preprints/Where experts and amateurs meet: the ideological hobby of medical volunteering on Wikipedia]] . Before I finish copyediting it (I think I need to upload images to Wikimedia Commons and reformat references to footnotes) and finish the rest of the submission procedure, can I ask you to confirm that this topic is within the scope of WJMED and our previous conversation does not create any COI for me to submit it (I am fine putting my editorial application fpr WJHUM from yesterday on hold for the duration of the review process, if necessary)? Oh, to confirm, WikiJournals allows and prefers non-anonymous submissions, right? So I don't need to anonymize citations to my own work, etc.? [[User:Piotrus|Piotrus]] ([[User talk:Piotrus|discuss]] • [[Special:Contributions/Piotrus|contribs]]) 05:08, 10 November 2022 (UTC) :{{re|Piotrus}} Each WikiJournal (Medicine, Science, Humanities) has separate editorial boards, similar to how "Nature Medicine" and "Nature Chemistry" are two different journals, have different editor-in-chief and different ISSN/DOI even though they are both owned and published by Springer Nature. Each WikiJournal operates and makes article decisions independently from each other while sharing same pool of resources (hired contractors, H/R, overhead cost). Therefore, whether or not you are on the Humanities board will not cause a COI when submitting to Medicine. I am the managing editor for Science, so our conversations won't cause any COI. I will defer your question on whether your preprint falls into the scope of Medicine to [[User:Rwatson1955]], who is the managing editor for the Medicine journal. And yes, we [[WikiJournal of Medicine/Publishing#Duties_of_authors|ask that "authors should be given by real names in their articles"]] so there is no need to anonymize. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 15:58, 10 November 2022 (UTC) ::I submitted [[WikiJournal Preprints/Where experts and amateurs meet: the ideological hobby of medical volunteering on Wikipedia|my article]] two days ago and filled in a Google Form, which suggested I'd receive confirmation email, but nothing happened and the article still has a notice that it is not submitted for review. Any chance you could check from your end if things are fine or ping someone who can, as maybe I haven't clicked something correctly or such? [[User:Piotrus|Piotrus]] ([[User talk:Piotrus|discuss]] • [[Special:Contributions/Piotrus|contribs]]) 14:09, 16 November 2022 (UTC) :::{{re|Piotrus}} That's my fault. Been busy with work. I'll process the new submissions today and update the status. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 15:14, 16 November 2022 (UTC) == Concerning an article == Hello, I'm not sure if you are aware that I have written a new article on Wikiversity, entitled: [[WikiJournal Preprints/Orhan Gazi, the first statesman|Orhan Gazi, the first Statesman]], I started it in September 2022 and finished it in March of the same year, and I was hoping that finding some peer reviewers wouldn't take much time. However, the article remained as it was for more than a year, and I had to ask two professors I know personally to check my work, which they did and their notes were sent in pdf format and added [[Talk:WikiJournal Preprints/Orhan Gazi, the first statesman|here]]. Now the article still needs an editor, before it can be finalized and published, and a fellow Wikipedian, [[User:علاء|Alaa]], suggested your name. I hope that perhaps you could check it. Please let me know what you think, best wishes-- [[User:باسم|باسم]] ([[User talk:باسم|discuss]] • [[Special:Contributions/باسم|contribs]]) 20:17, 7 May 2023 (UTC) == Files Missing Information == Thanks for uploading files to Wikiversity. All files must have source and license information to stay at Wikiversity. The following files are missing {{tlx|Information}} and/or [[Wikiversity:License tags]], and will be deleted if the missing information is not added. See [[Wikiversity:Uploading files]] for more information. {{colbegin|3}} * [[:File:WikiJournal Bioclogging - ES.pdf]] {{colend}} [[User:MaintenanceBot|MaintenanceBot]] ([[User talk:MaintenanceBot|discuss]] • [[Special:Contributions/MaintenanceBot|contribs]]) 15:41, 19 December 2023 (UTC) ==Japanese rendering== Thanks to your help, I could make [[WikiJournal_of_Science/Bioclogging/ja|Japanese translation of bioclogging article]]. I feel that display style of Japanese sentense is wierd, because breakline is restricted to some characters such as "、". Japanese does not break words with spaces, as normal in western languages, and therefore we break lines anywhere. For example, see [[w:ja:バイオクロッギング|Japanese edition of bioclogging article in Wikipedia]]. It can be fixed by using css. For example, in this paragraph バイオクロッギングは、水が浸透する様々な現場で観察される。たとえば、[[w:ja:ため池|ため池]]、浸透トレンチ、[[w:ja:灌漑|灌漑]]水路、[[w:ja:下水処理場|下水処理場]]、人工湿地、廃棄物処分場における遮水ライナー、川床や土壌のような自然環境などである。また、透過反応壁 ([[:w:Permeable reactive barrier|PRB]]) や微生物利用石油増進回収法 ([[:w:Microbial enhanced oil recovery|MEOR]]) などにおいて、[[w:ja:帯水層|帯水層]]における[[w:ja:地下水|地下水]]の流れにも影響を及ぼす。適度な水の浸透速度を保つことが必要とされるような現場では、バイオクロッギングが問題となり、定期的に水を抜くなどの対策が取られることがある。一方で、たとえば、難透水層を作って浸透速度を低下させたり、地盤工学的性質を改善させたりするなど、バイオクロッギングが有効に活用されることもある。 We can set word-break: break-all, and then <span style="word-break: break-all">バイオクロッギングは、水が浸透する様々な現場で観察される。たとえば、[[w:ja:ため池|ため池]]、浸透トレンチ、[[w:ja:灌漑|灌漑]]水路、[[w:ja:下水処理場|下水処理場]]、人工湿地、廃棄物処分場における遮水ライナー、川床や土壌のような自然環境などである。また、透過反応壁 ([[:w:Permeable reactive barrier|PRB]]) や微生物利用石油増進回収法 ([[:w:Microbial enhanced oil recovery|MEOR]]) などにおいて、[[w:ja:帯水層|帯水層]]における[[w:ja:地下水|地下水]]の流れにも影響を及ぼす。適度な水の浸透速度を保つことが必要とされるような現場では、バイオクロッギングが問題となり、定期的に水を抜くなどの対策が取られることがある。一方で、たとえば、難透水層を作って浸透速度を低下させたり、地盤工学的性質を改善させたりするなど、バイオクロッギングが有効に活用されることもある。</span> Setting this to all paragraphs may be a solution. I would like to know if there is a smarter way to do the same thing. [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 08:55, 16 February 2024 (UTC) :@[[User:Katsutoshi Seki|Katsutoshi Seki]] Thanks for raising this issue. I can read and write in Chinese (and therefore I can read Japanese Kanji) so I understand what you're describing about the software not finding spaces to break up words to the next line. I have [https://en.wikiversity.org/w/index.php?title=WikiJournal_of_Science%2FBioclogging%2Fja&diff=2606145&oldid=2605982 forced] the software to consider appropriate line break locations. I'm confident with the line breaks in Kanji but less so in Katakana and Hiragana. And I don't know how it may look like under different computer screens (or mobile phone). Please review and see if the line breaks are done accurately. Also, can you please provide a Japanese translation for the phrases "For the English translation, please see this link." and "For the Japanese translation, please see this link."? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 22:49, 16 February 2024 (UTC) :: Unfortunately, giving <nowiki>{{wbr}}</nowiki> to some places does not help much, because appropriate place for breaking line changes to various width of windows. Therefore, using <nowiki><span style="word-break: break-all"></nowiki> to all paragraphs, as I showed above, is necessary. I would like to know if there is an appropriate way to change the stylesheet in the page at once. For the translation, "For the English translation, please see '''this link'''."　to "英語版は'''このリンク'''参照", and "For the Japanese translation, please see '''this link'''." to "日本語版は'''このリンク'''参照" [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 01:39, 17 February 2024 (UTC) :::Thanks for verifying. I have removed {{tl|wbr}} and added <nowiki><span style="word-break: break-all"></nowiki>. It doesn't seem very effective to bulleted items. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 04:35, 17 February 2024 (UTC) :::: I also added css to bulleted items. Now it works find. [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 04:50, 17 February 2024 (UTC) :::: I created [[Template:BreakAll]] and applied. ChatGPT was helpful for creating the LUA module. [[User:Katsutoshi Seki|Katsutoshi Seki]] ([[User talk:Katsutoshi Seki|discuss]] • [[Special:Contributions/Katsutoshi Seki|contribs]]) 12:55, 17 February 2024 (UTC) == Article progress == Hi Ohana, it was great to meet you at the conference in November. I finally got around to finishing the revisions for [[WikiJournal Preprints/The Holocaust in Slovakia]]. As we discussed, I didn't expand the scope of the article to include Romani people, and I was unable to implement some of reviewer #2's comments because the information that would clarify is not in the cited source, or any other source that I'm aware of. Sorry for the very long delay on this article and I apologize if this is not the right forum to report progress. [[User:Buidhe|Buidhe]] ([[User talk:Buidhe|discuss]] • [[Special:Contributions/Buidhe|contribs]]) 03:45, 21 February 2024 (UTC) :Hi @[[User:Buidhe|Buidhe]], our apologies for the very long delay in replying to you. [[User:Fransplace|Fransplace]], the editor-in-chief for WikiJournal of Humanities, will be looking at your submission shortly. Since we already received two reviewers' comments and you have completed your revisions, are you ok with continuing with the submission process? I think we are on the home stretch with very few items remaining. Can you add your comments to the reviews to mark which items you have completed and which ones you cannot implement? This will speed up the review process. It probably will not take long for Fransplaces to render her publication decision once she has gone through the comments and your rebuttals. Many thanks for your patience! [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 23:06, 26 March 2025 (UTC) == Mail == {{ygm}} [[User:Serial Number 54129|Serial Number 54129]] ([[User talk:Serial Number 54129|discuss]] • [[Special:Contributions/Serial Number 54129|contribs]]) 12:04, 26 March 2024 (UTC) ==new submissions/need to be imported== Hi, I noticed there are two new submissions (from new editors) at https://en.wikipedia.org/wiki/Wikipedia:WikiJournal_article_nominations, thank you --[[User:Ozzie10aaaa|Ozzie10aaaa]] ([[User talk:Ozzie10aaaa|discuss]] • [[Special:Contributions/Ozzie10aaaa|contribs]]) 11:59, 1 April 2024 (UTC) :I don't have the required permission to import articles from Wikipedia to Wikiversity. I will need the "transwiki importer" permission, presumably to preserve article history and proper copyright attribution. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 04:40, 15 April 2024 (UTC) ==A message from Guy vandegrift== Hi. I am so-called "founder" of the WikiJournal of Science (although dozens of people contributed much more than I ever did.) I was wondering if the WikiJournal project needs help. If so, let me know.----[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 01:25, 13 April 2024 (UTC) :Yes, I'll email you with the details. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 03:58, 15 April 2024 (UTC) ::@[[User:Guy vandegrift|Guy vandegrift]] Did you receive the email that I sent last week? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 18:17, 22 April 2024 (UTC) :::I will look for it.--[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:17, 22 April 2024 (UTC). ::::My guess is that you used the google wikijournal system and it went to a google email I rarely check. I just sent you an email through Wikiversity. Meanwhile I will lookup my google email password and probably find your message.[[User:Guy vandegrift|Guy vandegrift]] ([[User talk:Guy vandegrift|discuss]] • [[Special:Contributions/Guy vandegrift|contribs]]) 22:35, 22 April 2024 (UTC) == [[WikiJournal_Preprints/Induced_stem_cells]] == Hello, I assume that you are involved in the management of Wikijournals and their preprints. Thank you for your contributions. I'm sending this message to alert you that a preprint is currently subject to copyright-related investigations, this may affect the preprint review procedure and I thought someone who knows more about Wikijournals should be contacted. The background information can be seen at [[Wikiversity:Request_custodian_action#Induced_stem_cells_copyright_issues]]. In your opinion, what should be done by the custodians for this preprint? I look forward to hearing from you. [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 02:02, 6 June 2024 (UTC) :Thanks for bringing this to our attention. What you described is very concerning. We did [[Talk:WikiJournal Preprints/Induced stem cells#Plagiarism check|conduct a plagiarism check]] 3 years ago when the preprint was submitted and it was determined that the similarities were deemed to be common phases in that field. Right now the tool is timing out due to high request volume so I can't do another check now. I'm going to ping @[[User:Evolution and evolvability|Evolution and evolvability]] since he's the handling editor for this submission and he knows more about cells & proteins than me. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 04:15, 6 June 2024 (UTC) == Question about the WikiJournal license status == Hello. At [[Special:Diff/2639304]], [[User:MGA73]] asked about the Wikijournal license status, so I'm forwarding the question here. Do you know anything about this? Should we contact [[User:Evolution and evolvability]]? [[User:MathXplore|MathXplore]] ([[User talk:MathXplore|discuss]] • [[Special:Contributions/MathXplore|contribs]]) 08:02, 30 July 2024 (UTC) == Preprint related to Wikidata == Hello! I have written an article titled "[[WikiJournal Preprints/Is there a relationship between volcanoes and earthquakes based on Wikidata?|Is there a relationship between volcanoes and earthquakes based on Wikidata?]]". Could you please include this preprint in the list of [[WikiJournal of Science/Potential upcoming articles|Potential upcoming articles]]? -- [[User:AKA MBG|Andrew Krizhanovsky]] ([[User talk:AKA MBG|discuss]] • [[Special:Contributions/AKA MBG|contribs]]) 14:17, 17 February 2025 (UTC) :@[[User:AKA MBG|AKA MBG]] Hello, not sure why I didn't get a notification when you leave this message. I have taken a look at your preprint. Unfortunately I don't think we have the expertise in our editorial board to take on the role for potential publication of your submission. As a general and personal comment, I think you need to tighten up the paper by drawing comparison with existing literature around SPARQL and Wikidata, such as [https://link.springer.com/chapter/10.1007/978-3-319-46547-0_10] and [https://link.springer.com/chapter/10.1007/978-3-031-33455-9_40] [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 02:00, 24 March 2025 (UTC) == Status of WikiJournals == Good morning, I have had an article submitted to WikiJournal PrePrints since October 2024. It seems that the chair of the WikiJournal Usergroup (E&E) is entirely inactive, and I'm not sure what your status is as editor-in-chief of the science journal. If these projects are not currently working, then there should be some kind of alert given so people don't submit articles that will never be reviewed. If they are currently working, please let me know what the next steps in the process are for my submitted article. If there is any way I can help with other articles as well, I am happy to do so. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 14:00, 6 March 2025 (UTC) :@[[User:Fritzmann2002|Fritzmann2002]] Hello, it has been busy for many of us at the board over the past few months focusing on the grant request and sustainability of the user group, and all of us serving in volunteer capacity with a daytime job. I should have a handling editor for your submission ([[WikiJournal Preprints/Hypericum sechmenii]]) within 2 weeks. Thanks. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 01:45, 24 March 2025 (UTC) ::@[[User:OhanaUnited|OhanaUnited]], thanks for your response, and apologies for the brusque nature of my original message. I appreciate the work that you do, and want to reiterate my desire to assist in any way that I can! [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 01:45, 25 March 2025 (UTC) == [[WikiJournal of Psychology, Psychiatry and Behavioral Sciences]] == Hi OhanaUnited, I'm planning on working on a paper for the WikiJournal of PPB regarding mental health in Sri Lanka (which does not seem to have a corresponding Wikipedia article, so I think this would be a very good start; especially as an aspiring clinical PhD student). I wanted to double check and make sure that this WikiJournal has personnel that can peer-review the article for submission, as there seems to be [[WikiJournal of PPB/Editors|no associate editors]] and the social medias (FB & X accounts) for this specific WikiJournal do not exist [anymore?]. Is this WikiJournal still active and can editors be assigned to my paper once its ready for peer-review? Thank you & thank you to the team for all the work you guys do! —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 14:57, 8 May 2025 (UTC) :Hi, unfortunately I don't have any updates for WikiJournal of PPB on its launch date since the person in charge is on extended absence. I would recommend that you select either WikiJournal of Medicine (since it's mental health) or select another journal with compatible copyright license to publish. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 15:16, 8 May 2025 (UTC) ::I'll work on this paper through the WikiJournal of Medicine then, thanks! —[[User:Atcovi|Atcovi]] [[User talk:Atcovi|(Talk]] - [[Special:Contributions/Atcovi|Contribs)]] 19:51, 8 May 2025 (UTC) :::No problem. Thanks for your ongoing support of the journal. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 13:30, 9 May 2025 (UTC) == WikiJournal article nominations == Hi OhanaUnited. More than 5 months ago I have nominated the page [[w:Diffeology|Diffeology]] for submission at the Wikijournal of Science, adding a line at the bottome of the page [[w:Wikipedia:WikiJournal article nominations|Wikipedia:WikiJournal article nominations]]. Unfortunately, nobody has created the corresponding preprint at [[WikiJournal Preprints|Wikijournal Preprints]], hence I cannot proceed yet with the formal submission. Since I had already a very positive experience publishing another paper ([[WikiJournal of Science/Poisson manifold|Poisson manifold]]) in the Wikijournal of Science, in the past months I tried, without success, to contact by email the editors who took care of it. I am therefore trying to reach you here. As I wrote also to them, I noticed that at [[w:Wikipedia:WikiJournal article nominations|Wikipedia:WikiJournal article nominations]] there are links to several other wikipedia pages which have not been converted to a preprint, despite being many months old. I am therefore wondering if that page is still maintained and with which frequency. This issue was also discussed on [[Talk:WikiJournal User Group#Wikipedia:WikiJournal article nominations is dead]]. I understand that you and the rest of the editorial board has a lot to do and therefore it might be just a matter of waiting. As another user pointed out ([[User talk:OhanaUnited#Status of WikiJournals]]), if there is anything I could do in order to speed up the review process, e.g. creating the preprint page myself, please let me know. In that case (i.e. if the author is allowed to import the page directly from wikipedia), I would suggest to clarify it in [[WikiJournal User Group/Editorial guidelines#Importing from Wikipedia]], since these instructions do not specify exactly who is in charge of importing the page. Thanks a lot in advance! [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 10:08, 16 September 2025 (UTC) :Hi, an update. @[[User:Marshallsumter|Marshallsumter]] has suggested me in the nomination page to proceed with the import myself. As per our discussion in [[wikipedia:User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints|User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints]], I did attempt to import the page manually at [[WikiJournal Preprints/Diffeology]] and filled in the Authorship declaration form (providing the authors information, suggesting reviewers, etc. and mentioning also that I did the import manually). :One issue is that [[Template:Convert links]] has been deactivated just a few days ago, preventing all the links to other Wikipedia pages to be automatically converted. Since this was the only method written in [[WikiJournal User Group/Editorial guidelines#Importing from Wikipedia]], do you know if there are some alternatives, in order to avoid to do it manually? Besides that, I'm also not sure how to make the line "Additional contributors: Wikipedia community" appear under the two names of the authors. :I would appreciate if you or somebody from the editorial board could have a look at these minor issues, so that the review process could start soon. Thanks again! [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 22:41, 21 September 2025 (UTC) ::@[[User:Francesco Cattafi|Francesco Cattafi]] Sorry for the late reply. Did the {{tl|Convert links}} end up working again? I see that the links are present. These functions were created long before I joined so I wouldn't be able to troubleshoot them. Sometimes I find that the bugs end up being caused by the most innocent changes in the back end, just like what I encountered [[Wikiversity:Colloquium#Figure numbers are always 1|two weeks ago]]. In the future, if you have some templates or links that aren't working, post a message on [[Wikiversity:Colloquium]] and someone with more knowledge than me may have a solution ready. In related news, there are now two peer review comments which are posted on [[Talk:WikiJournal Preprints/Diffeology]]. I think {{u|Marshallsumter}} is still looking for at least one more peer reviewer. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 21:01, 9 January 2026 (UTC) :::Hi @[[User:OhanaUnited|OhanaUnited]], thanks for the reply, I didn't know about this Colloquium page. Anyways, the Convert link issue was fixed; I have simply asked the user who deleted that tool to undelete it ([[User_talk:Koavf#Deleting_all_unused_templates]]), so I could use it properly. :::In the coming weeks my coauthor and I will address the two reviewers' comment! [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 15:53, 10 January 2026 (UTC) ::::Thanks for your diligence and troubleshoot why it didn't work! [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 22:12, 2 February 2026 (UTC) :::::Hi, just to let you know that we have addressed all three reviewers' comments. Please let us know if any further revisions are needed or if the article will proceed to the next stage of the editorial process. [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 23:09, 3 March 2026 (UTC) ::::::In case you missed it, your article has been published last week and DOI has been issued. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 03:47, 28 April 2026 (UTC) == Found a potential reviewer == Hello @[[User:OhanaUnited|OhanaUnited]] I hope you are doing well. I write you because some weeks ago, I found a potential reviewer for [[WikiJournal Preprints/Kinematics of the cuboctahedron]] (as we talk about [[Talk:WikiJournal of Science#c-OhanaUnited-20260109204800-Regliste-20260106112200|here]]) and I sent you a mail about it. I'd like to be sure that you indeed received it.<br> On another topic, do you know if there is any progresses on [[WikiJournal Preprints/Pentagram map|my preprint]] ? Best regards, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 16:51, 1 February 2026 (UTC) :Thanks for the reminder. I have emailed you about it. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 21:17, 2 February 2026 (UTC) ::Hello @[[User:OhanaUnited|OhanaUnited]], ::If you have the time, could you answer to my email about the subjects mentioned above, please ? ::Best regards, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 17:21, 3 May 2026 (UTC) :::(Gentle reminder of my previous message.) [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 12:43, 15 May 2026 (UTC) ::::@[[User:Regliste|Regliste]] Only one reviewer accepted my invite to peer review Kinematics of the cuboctahedron. I will send another batch of review invitations later this week. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 14:55, 16 June 2026 (UTC) == Answered to reviewers == Hello @[[User:OhanaUnited|OhanaUnited]], just to inform you that I replied to the three reviewers comments. I don't know if other reviews are on the way, but in any case I remain available for the continuation of the editorial process {{=)}}. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:46, 16 June 2026 (UTC) :I have one more review for Pentagram map that I'm expecting, but the review is not due for another 6 days. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 14:56, 16 June 2026 (UTC) ::Alright, there is no hurry at all. Thank you for the information. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:58, 16 June 2026 (UTC) :::Hi {{ping|OhanaUnited}}, I'm the author of [[WikiJournal_of_Science/Affine_symmetric_group]], and have been thinking of submitting an article based on my recent work on [https://en.wikipedia.org/wiki/Hyperoctahedral_group]. It seems like you have a bit of a backlog, with two mathematics articles pending ([[Talk:WikiJournal_Preprints/Kinematics_of_the_cuboctahedron]] and [[Talk:WikiJournal_Preprints/Pentagram_map]]). Suppose I had a small amount of time to spend to help move one of those two articles towards resolution, so you aren't too over-burdened with math articles; what would be the best way to do that? [[User:JayBeeEll|Joel Brewster Lewis]] ([[User talk:JayBeeEll|discuss]] • [[Special:Contributions/JayBeeEll|contribs]]) 00:48, 21 July 2026 (UTC) ::::@[[User:JayBeeEll|JayBeeEll]] Thanks for the offer. I'm a climatologist so I love any help on the math submissions. We got 4 peer reviews for Pentagram map already so we should be ok on that (our normal # is 2 per submission). I just sent out a small batch of emails today for Kinematics of the cuboctahedron but I can definitely use some help to identify more potential peer reviewers that I can invite for this article's peer review. I haven't checked the submissions lately but I think I can use your help for math submissions (and maybe others too if you're down!) [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 20:41, 22 September 2026 (UTC) :::::Hi @[[User:OhanaUnited|OhanaUnited]], :::::Sorry to bother, but do you have any news on the advancement of the editorial board on [[WikiJournal Preprints/Pentagram map]] ? I confirmed that I have nothing to add on it. :::::Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 12:25, 23 October 2026 (UTC) ::::::Hi OhanaUnited, ::::::I would be happy to write a peer review of Kinematics of the cuboctahedron myself (it is broadly within my area of expertise); please send me whatever instructions for referees are standard and I will take a look. ::::::Separately, I would encourage you to move ahead with publishing Pentagram map, which is an excellent article and seems to have satisfied all the reviewers. It is a disservice to authors to leave them hanging for months and months. ::::::All the best, [[User:JayBeeEll|Joel Brewster Lewis]] ([[User talk:JayBeeEll|discuss]] • [[Special:Contributions/JayBeeEll|contribs]]) 23:23, 1 November 2026 (UTC) :::::::@[[User:JayBeeEll|JayBeeEll]] Thanks. I will send the reviewer instructions to you by wiki's email. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 00:13, 4 November 2026 (UTC) == Greetings! == Hi Andrew! I am OwlyKnight <!-- Also known as NikolasKHF --> We met at Wikimania 2026. I am who interested in developing [[betawikiversity:Halaman Utama|Indonesian Wikiversity]], and, hopefully next, Indonesian WikiJournals. Nice to meet you! [[User:OwlyKnight|OwlyKnight]] ([[User talk:OwlyKnight|discuss]] • [[Special:Contributions/OwlyKnight|contribs]]) 08:57, 25 July 2026 (UTC) :Hello, it was nice to meet you. Since it is easiest to find peer reviewers in English, we continue to support publication in English with additional languages like Indonesian if translated by the author. We can definitely support WikiJournal's presence in Indonesia such as recruiting more individuals to join the editorial boards, assist with peer review process, promote submission of high quality articles to WikiJournal. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;">^{Talk page}</span></b>]] 20:35, 22 September 2026 (UTC) hx8dez6ea7ecbp0yedjyxtlradpre9y 0 96387 2844422 2836355 2026-11-04T05:36:59Z Jtneill 10242 /* Social contribution (10%) */ ** Only contributions with direct (1-click) links that clearly show the contribution will be counted for marking purposes; descriptions without links or links that are broken or indirect (i.e., don't show the exact change or contribution) will not be awarded any marks 2844422 wikitext text/x-wiki {{title|Book chapter — Guidelines}} <div style="text-align: center;">''Collaborative online book chapter authoring'' <!-- ---------------------------------- ---> <!-- Count down --> <!-- ---------------------------------- ---><!-- {{countdown |year = 2026 |month = 10 |day = 12 |hour = 0 |event = this assessment is due }} --><!-- {{Motivation and emotion/Assessment/In development}} --> {{/Contents/}}</div> {{TOCright}} ==Overview== * Weight: 50% * Due {{/Due}} * Tasks ** Author an online [[Motivation and emotion/Book|book chapter]] (up to 4,000 words) that explains key psychological theory and research about a unique, specific motivation or emotion topic. ** Develop the chapter by building on the [[Motivation and emotion/Assessment/Topic|topic development]] plan and addressing feedback. ** Contribute to the development of other book chapters (social contribution). * Follow the [[#Instructions|instructions]] and address the [[#Marking criteria|marking criteria]]. ==Purpose== The purpose of the book chapter is to explain and critically evaluate what psychological science says about a specific motivation or emotion topic, and to demonstrate how this knowledge can be applied to understanding and improving human behaviour in everyday life. ==Marking and feedback== * Submissions will be marked according to the [[#Marking criteria|marking criteria]] and [https://docs.google.com/document/d/15NXyApC5i6svEcJAnXv9QeRA-cbojy1m8lKReZgBH60/edit?usp=sharing marking rubric]. * Marks will be provided via {{Motivation and emotion/Canvas}} within approximately 3 weeks and prior to the exam. * Up to 5 bonus marks will be awarded in exceptional circumstances where social contributions are above and beyond those required for HD-level (see [https://docs.google.com/document/d/15NXyApC5i6svEcJAnXv9QeRA-cbojy1m8lKReZgBH60 rubric]). * Written feedback about how well the chapter addresses the marking criteria will be available via the topic's Wikiversity discussion page. * Follow up with the [[Motivation and emotion/About/Staff|unit convener]] if you have any questions. ==Extensions and late submissions== * Apply for extension using the unit's online Extension Application Form (see {{Motivation and emotion/Canvas}}) with appropriate documentary evidence. * Submissions will be accepted up to 3 days late (-10% per day). * If you don't submit this assessment it is unlikely that you will pass the unit. ==Learning outcomes== How the unit's [[Motivation and emotion/About/Learning outcomes|learning outcomes]] are addressed by this assessment exercise: {| border=1 cellpadding=5 cellspacing="0" background:transparent style="width:90%; margin: auto; vertical-align:top;" |- | style="width:40%;" | '''Learning outcome''' | style="width:60%;" | '''Assessment task''' |- | style="vertical-align:top;" | Integrate theories and current research towards explaining the role of motivation and emotions in human behaviour. | style="vertical-align:top;" | Use the most relevant theories and peer-reviewed research to explain a specific motivation or emotion topic. |- | style="vertical-align:top;" | Critically apply knowledge of motivation or emotion to an indepth understanding of a specific topic in this field. | style="vertical-align:top;" | Explain how psychological science can be applied to a specific motivation or emotion topic. Use figures, examples, and/or other interactive learning features to illustrate how this knowledge can apply to understanding human behaviour in everyday life. |} ==Graduate attributes== How the unit's [[Motivation and emotion/About/Graduate attributes|graduate attributes]] are addressed by this assessment exercise: {| border=1 cellpadding=5 cellspacing="0" background:transparent style="width:90%; margin: auto;" |- ! style="width:20%;" | Category ! style="width:20%;" | Graduate attribute ! style="width:60%;" | Assessment task |- | rowspan="4" style="vertical-align:top;" | '''Be professional''' | style="vertical-align:top;" | Communicate effectively | style="vertical-align:top;" | Review scholarly knowledge in an open, online environment and address feedback. |- | style="vertical-align:top;" | Display initiative and drive | style="vertical-align:top;" | Produce an online book chapter about a novel motivation or emotion topic. |- | style="vertical-align:top;" | Up-to-date knowledge and skills | style="vertical-align:top;" | Utilise the most relevant psychological theory and research to address a practical question. |- | style="vertical-align:top;" | Solve problems via thinking | style="vertical-align:top;" | Use critical thinking to explain how psychological science can address real-world problems. |- | rowspan="3" style="vertical-align:top;" | '''Be a global citizen''' | style="vertical-align:top;" | Informed and balanced | style="vertical-align:top;" | Provide a balanced, critical chapter which is accessible to a lay audience. |- | style="vertical-align:top;" | Communicate diversely | style="vertical-align:top;" | Collaborate with peers to communicate knowledge openly with a global audience. |- | style="vertical-align:top;" | Creative use of technology | style="vertical-align:top;" | Learn how to collaborate using wiki technology. |- | rowspan="2" style="vertical-align:top;" | '''Be a lifelong learner''' | style="vertical-align:top;" | Engage in new ideas | style="vertical-align:top;" | Engage in a collaborative learning culture by incorporating feedback and suggestions. |- | style="vertical-align:top;" | Evaluate and adopt new technology | style="vertical-align:top;" | Experience project work in a collaborative, online editing environment. |} ==Instructions== The book chapter should communicate your understanding of the topic based on the best available psychological theory and research. Explain and apply the most relevant evidence in a clear, engaging, and accessible way. The aim is to demonstrate your ability to synthesise and critically evaluate psychological science in order to understand and respond to a specific motivation or emotion phenomenon. The following instructions should be used to guide the development of the book chapter. ===Theme=== * Chapters should fit the book theme which is "understanding and improving our motivational and emotional lives using psychological science" ===Audience=== * The target audience is a general (non-topic-expert) reader interested in personal growth and development based on knowledge in psychological science (theory and research). This is a [[w:science communication|science communication]] exercise. ===Wikiversity=== * Present the chapter as a single page on the [[Main Page|English Wikiversity]] website. A link to the chapter should appear in the [[Motivation and emotion/Book|table of contents]] along with the lead author's Wikiversity user name ===Topic=== * The title and sub-title must be approved by the [[Motivation and emotion/About/Staff|unit convener]] ===Collaboration and feedback=== * Chapters should be independently developed and written primarily by the lead author, but collaboration is strongly encouraged (e.g., by incorporating useful edits and feedback from others) * [[Motivation and emotion/Assessment/Using generative AI|Generative AI]] may be used with appropriate acknowledgement * Lead authors are encouraged to seek feedback about the chapter during the drafting process (e.g., start a {{Motivation and emotion/Canvas}} discussion thread<!-- (use the chapter title and subtitle in the subject line and include a clickable hyperlink to the chapter in the message)-->) * Feedback is usually best placed on the chapter's wiki discussion page * Feedback on the [[Motivation and emotion/Assessment/Topic|topic development]] (chapter plan) will be provided by the [[Motivation and emotion/About/Staff|unit convener]] ===Length (word count)=== {{Anchor|Wordcount}}{{Anchor|Word count}} * There is no minimum length * Maximum 4,000 words ** There is no additional 10% allowance ** Words beyond the maximum will not be considered for marking purposes ** If the chapter exceeds the maximum word count, see [[/Word count|these suggestions]] for strategies to reduce the length while retaining the key content * What to count: ** Count everything from top to bottom of the editable page (in view mode, not edit mode) including the title, subtitle, headings, text, citations, tables, figures, references, see also, and external links ** Don't count menu text across the top and down the left, or categories at the bottom * How to count: ** '''Wikiversity search:''' Copy the page name text which appears at the top of the Wikiversity page (e.g., ''Motivation and emotion/Book/2026/Self-concept and motivation''). Paste this text into the Wikiversity search bar at the top of the page and select the second option, '''Search for pages containing [your title]'''. The first result should be your book chapter. The search result provides information about the chapter, including its word count. ** '''Google Chrome extension:''' [https://chromewebstore.google.com/detail/word-counter/cbjddaobmdfhbfgdgjocbhklpmclcboe Word Counter]. This extension is an easy, reliable method for counting words on a Wikiversity page. '''Cons:''' UC recently blocked this extension on UC devices. ** '''Website:''' Paste the URL into [https://hsuper.tools/web-page-word-counter Webpage Word Counter]. '''Cons:''' Overcounts by approximately 100 words because it includes top and side menus and other page elements. ** '''Word processor:''' Cut and paste the page content into a word processor. Copy starting at the title and finishing with the last external link. ===Submission=== * Submit the chapter URL (website address), your Wikiversity user name, and a PDF of the chapter via {{Motivation and emotion/Canvas}} ==Marking criteria== [[File:Balanced scales.svg|right|125px]] Book chapters will be marked against the following criteria. ===Overview (5%)=== * Scenario: Provide an engaging scenario or case study in a feature box, with an illustrative figure * Problem statement: Easy to read and understand outline of the key concepts and explanation of practical/real-world problem to be solved * Focus questions: Establish [[/Focus questions|focus questions]] which align with the sub-title and subsequent heading structure ===Theory (20%)=== * Clearly explain the theoretical framework for understanding the topic * Select the most relevant psychological theories/models that apply to the problem. Depending on the topic, this may involve focusing on a single theory or comparing and contrasting two or more theories. * Use at least the best dozen or so peer-reviewed theory references about the topic (e.g., see [[Motivation and emotion/Journals|list of motivation and emotion journals]]) * Clearly explain and apply the theory(ies) * Include illustrative examples, such as case studies * Demonstrate a critical perspective ===Research (25%)=== * Clearly explain how key, peer-reviewed research findings apply to the problem * Use at least the best dozen or so peer-reviewed research references about the topic (e.g., see [[Motivation and emotion/Journals|list of motivation and emotion journals]]) * Include relevant major reviews (such as systematic reviews and meta-analyses) * [[w:Critical thinking|Critical analyse]] the key research findings, including limitations and implications ===Integration (10%)=== * Integrate discussion of theory and review of relevant research * Use research to critically inform interpretation and application of the theory(ies) ===Conclusion (5%)=== * Clear and concise communication of key points and take-home messages * Aligned with the subtitle and focus questions, with implications for the [[Motivation and emotion/Book/Theme|book theme]] ===Style (20%)=== * Overall ** Present and illustrate the problem and knowledge in an interesting way, using a logical structure, clear layout, correct spelling and grammar, and [[APA style]] ** [[/Readability|Readable]] for a layperson interested in psychological science ** Address the [[#Theme|book theme]] by providing practical, academically sound, self-improvement information ** Address an international audience (i.e., avoid an overly local or national perspective) ** Use default wiki style for paragraph alignment, font colour, type, and size, and heading styles ** Use Australian spelling (e.g., hypothesise, behaviour, fulfilment) rather than American spelling (e.g., hypothesize, behavior, fulfillment) ** Correct grammar (e.g., see [[/Writing tips|writing tips]]) * Structure ** Use a logical heading structure that aligns with the focus questions ** Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] throughout, including for headings and sub-headings ** Use the default heading style (e.g., do not add italics and/or bold) ** Sub-headings are optional *** Avoid having sections with a single sub-heading — each section should contain 0 or 2+ sub-headings. *** If sub-headings are used, provides at least 1 introductory paragraph before branching into sub-sections. * Sentences ** [[w:Narration#Narrative point of view|Narrative point of view]][https://www.grammarly.com/blog/first-second-and-third-person/]: In the main text, use [[w:Narration#Third-person|3rd person perspective]] (e.g., "it", "they"). Where [[w:Aside|aside]]s are used, such as examples, case studies, and feature boxes, [[w:First-person narrative|1st person perspective]] (e.g., "I" and "we") and/or [[w:Narration#Second-person|2nd person perspective]] (e.g., "you") can work well. * Paragraphs ** A well-constructed paragraph is generally 3 to 5 sentences (opening sentence, body sentences, and a concluding/linking sentence). Avoid one-sentence paragraphs and overly long paragraphs. ** Paragraphs flow logically * Use APA style (as much as reasonably possible), paying particular attention to: ** citations ** references (especially capitalisation, italicisation, and providing hyperlinked dois) ** table and figure captions ** quotes (include page numbers) * <span id="Citations">Citations</span> ** Claims need citations using APA style or [[w:Wikipedia:Citing_sources|wiki citation style]]. Only use one style throughout the chapter — don't mix and match. For most psychology students, APA style will be the choice. ** Maximum of 3 citations per point (i.e., avoid 4 or more citations together). * References ** List all cited academic references in APA style or [[w:Wikipedia:Citing_sources|wiki citation style]]. Only use one style. ** Non-academic sources are not used in references. They can be included in the external links section. ===Learning features (5%)=== * Embed interactive learning features such as scenarios/case studies/examples, feature boxes, figures, quizzes, links to relevant Wikiversity book chapters and Wikipedia pages, as well as links to key resources via the "See also" and "External links" sections * Case studies ** Include 1 or more examples, scenarios, or case studies ** They can be true (if so, include citations) or fictional ** Use these examples to enhance understanding of theory, research, focus questions, and/or take-home messages ** Present in a feature box and include a figure ** Consider using a "progressive case study" (i.e., a case study presented in separate parts which describe, for example, the problem, attempt at change, and resolution/outcomes). ** Examples of chapters which make effective use of case studies: *** [[Motivation and emotion/Book/2019/Emotional abuse|emotional abuse]] (2019) *** [[Motivation and emotion/Book/2019/Food and fear|food and fear]] (2019) *** [[Motivation and emotion/Book/2019/Opioid system and human emotion|opioid system and human emotion]] (2019) *** [[Motivation and emotion/Book/2019/Social support and emotion|social support and emotion]] (2019) * [[Motivation and emotion/Wikiversity/Feature box|Feature boxes]] ** Use to highlight key information, but avoid overuse ** There are various ways of creating coloured boxes, but the [[Template:RoundBoxTop|RoundBox]] template is a good option. * [[Motivation and emotion/Wikiversity/Figures|Figures]] ** Include relevant, accompanying figures (e.g., photos, drawings, diagrams) to facilitate readers' understanding of the concepts ** Figures are accompanied by explanatory captions and be cited at least once in the main text ** For more information, see [[Motivation and emotion/Assessment/Chapter/Figures|How to use figures]]). * [[Help:Links|Links]] ** In-text (embedded) links: Key words and concepts are [[Making links|linked]] to Wikipedia articles and/or related book chapters. Provide in-text wiki links the ''first time'' that key concepts are mentioned. For example: *** [[w:Emotion|emotion]] involves physiological, subjective feeling, motivational, and socially expressive aspects. The syntax for creating this link is <nowiki>[[w:Emotion|emotion]]</nowiki>). It is also possible to link to a section on this same page e.g., &lt;nowiki&gt;[[#Overview|Overview]]&lt;nowiki&gt; will link to the Overview section. *** [[Motivation and emotion/Book/2021/Fitspiration and body image|This chapter]] provides an excellent example of embedded links to Wikiversity pages. ** See also *** Provide interwiki links to key related Wikiversity book chapters and/or Wikipedia articles *** Include source in parentheses ** External links *** Provide at least three links to high quality, relevant external resources *** Include author and/or source in parentheses ** Published academic sources belong in References * [[Motivation and emotion/Wikiversity/Tables|Tables]] ** Use accompanying tables to help organise information and communicate concepts to readers ** Tables are accompanied by explanatory APA style captions and are cited in the body text * [[Help:Quiz|Quizzes]] ** Quiz questions or reflection questions encourage reader engagement ** Focus on core concepts (esp. take-home messages) rather than trivia ** Consider incorporating throughout the chapter {{anchor|Socialcontribution}} {{anchor|Social contribution}} ===Social contribution (10%)=== * '''Actions''': Logged contributions which enhance the quality of other book chapters. Useful actions include: ** '''Edits''': Direct edits which improve past or current chapters (e.g., fix errors, enhance clarity) or flag potential improvements by adding [[Template:Clarification templates|clarification templates]]. [[/Search for chapters to improve|Search for chapters to improve]]. ** '''Comments''': Feedback provided on book chapter [[Help:Talk page|talk page]]s ** '''Media uploads''': Upload free-to-use educational images to [[commons:|Wikimedia Commons]] ** '''{{Motivation and emotion/Canvas}} discussion posts''' * '''Evidence''': ** Provide a [[mw:Help:Lists|numbered list]] with summaries of contributions on your [[Help:User page|Wikiversity user page]], and '''direct links''' that show each change or contribution. ** Only contributions with direct (1-click) links that clearly show the contribution will be counted for marking purposes; descriptions without links or links that are broken or indirect (i.e., don't show the exact change or contribution) will not be awarded any marks <!-- To receive credit, contributions must be publicly logged (i.e., log in to Wikiversity so that the edit is recorded with your user name and time-stamp). Summarise each edit on your user page (in a section called "Social contributions") --> ** More info: [[/Summarising social contributions|summarising social contributions]] * '''Marking''' ** Marking of social contributions will be based on a combination of: *** '''Quantity''': **** Breadth: number of chapters contributed to **** Channels: range of communication channels used *** '''Quality''': **** Depth/extent/thoroughness **** Insightfulness **** Practical value *** '''Timeliness''' — there is generally: **** Greater value in earlier contributions **** Lesser value in last-minute contributions ** Marks will be allocated to each clearly evidenced contribution as follows: *** Minor <= 0.25 *** Moderate 0.50 *** Major 1.00 *** Very significant > 1.00 * '''Bonus marks''' ** Up to 5 bonus marks (out of 100 for the book chapter) will be awarded in exceptional circumstances where social contributions are above and beyond those required for HD-level. ** Approximately 5% of students receive social contribution bonus marks. ** This could include extensive copyediting of multiple chapters and/or regular feedback or support on multiple chapter discussion pages. It may also involve substantial activity on the UCLearn discussion forum. ==Marking rubric== {{Notice|1=[https://docs.google.com/document/d/1yQd1-IekznJNLwhef-yEBaxKtRR6dAVESWXoTa-ti3c/edit?usp=sharing Marking rubric]}} ==Examples== Examples of high quality [[Motivation and emotion/Book|motivation and emotion book chapters]]: * [[Motivation and emotion/Book/2025/AI use, cognitive load, and motivation|AI use, cognitive load, and motivation]] - How does generative AI reduce cognitive effort, and what are the motivational consequences? (2025) * [[Motivation and emotion/Book/2025/Autonomy and intrinsic motivation in self-determination theory|Autonomy and intrinsic motivation in self-determination theory]]: How does autonomy influence intrinsic motivation according to SDT? (2025) * [[Motivation and emotion/Book/2022/Disappointment|Disappointment]]: What is disappointment, what causes it, and how can it be managed? (2022) * [[Motivation and emotion/Book/2016/Illicit drug taking at music festivals|Illicit drug taking at music festivals]]: What motivates young people to take illicit drugs at music festivals? (2016) * [[Motivation and emotion/Book/2019/Organisational change motivation|Organisational change motivation]]: How can leaders build a culture of agility, adaptability, and resilience to deal with a constantly changing workplace? (2019) * [[Motivation and emotion/Book/2019/Phobias|Phobias]]: What are phobias and how can they be dealt with? (2019) * [[Motivation and emotion/Book/2025/Transactive goal dynamics theory and motivation|Transactive goal dynamics theory and motivation]]: What is transactive goal dynamics theory and how does it impact motivation? (2025) Note that as of 2025, chapters no longer include multimedia presentations. For more examples, see the {{Motivation and emotion/Book/High}}s in the [[Motivation and emotion/Book|lists of previous book chapters]]<!-- and the [[:Category:Motivation and emotion/Book/2022/Top|top chapters of 2022]] -->. ==Licensing== Contributions to Wikiversity are made under a [http://creativecommons.org/licenses/by-sa/4.0/ Creative Commons 4.0 Share-alike] (CC-BY-SA 4.0) license which is irrevocable. This license gives permission for others to edit and re-use, with appropriate acknowledgement. For more information, see the [[wmf:Terms of use|Wikimedia Foundation's Terms of use]]. If you do not wish to contribute your work under this license, discuss [[Motivation and emotion/Assessment/Alternative|alternative assessment options]] with the unit convener. ==See also== * [[/FAQ/]] * [[Motivation and emotion/Book|Previous chapters]] * Marking and feedback ** [[Motivation and emotion/Assessment/Chapter/Feedback|General feedback]] ** [[Template:MEBF|Feedback template]] ** [https://docs.google.com/document/d/15NXyApC5i6svEcJAnXv9QeRA-cbojy1m8lKReZgBH60/edit?usp=sharing Marking rubric] * [[#Socialcontribution|Social contributions]] ** [[/Search for chapters to improve/]] ** [[/Summarising social contributions/]] * [[Motivation and emotion/Tutorials|Tutorials]] <!-- ** [[Motivation and emotion/Tutorials/Topic selection|Tutorial 01: Topic selection]] --> ** [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2: Wiki editing]] ** [[Motivation and emotion/Tutorials/Functionalist theory and self-tracking#Google Scholar|Tutorial 5: Google Scholar]] ** [[Motivation and emotion/Tutorials/Measuring emotion#Topic development feedback|Tutorial 8: Topic development feedback]] * Wikiversity ** [[/Feature boxes/]] ** [[/Figures/]] ** [[How to find free-to-use images|Find free images]] ** [[/Tables/]] * [[/Writing tips/]] ** [[/How to handle a lack of information/|Handling a lack of information]] ** [[/Readability|Readability]] ** [[Motivation and emotion/Assessment/Using generative AI|Using generative AI]] ** [[/Word count|Word count]] {{Motivation and emotion/Assessment/Navigation}} [[Category:Motivation and emotion/Assessment/Chapter| ]] [[Category:Motivation and emotion guidelines]] bfiwej75jxutogpy4shgrq1v63cgiab 0 98611 2844398 2844176 2026-11-04T03:12:47Z Jtneill 10242 /* Recording */ Update for 2026 2844398 wikitext text/x-wiki {{Motivation and emotion/Lectures|Lecture 12: Interventions and review|twelfth and final}} {{Motivation and emotion/Lectures/Complete}} <!-- {{Motivation and emotion/Lectures/In development}} --> <!-- {{Motivation and emotion/Lectures/Complete}} --> [[File:Childcare Development Center-Crestwood High School cheerleaders 120815-F-PG936-400.jpg|right|250px|thumb|'''Figure 1'''. Interventions to change motivation and emotion are commonly used in educational settings.]] ==Overview== This lecture applies and reviews the [[motivation and emotion]] unit by discussing: * interventions using motivation and emotion principles * key points and wisdom gained Take-home messages: * Motivation guides engagement in behaviours that optimise well-being * Emotions provide feedback about progress towards goals * There is nothing so practical as a good theory ==Outline== * Interventions ** Interventions ** Practical problems ** Example interventions * Review ** Unit aims ** Nuggets of truth / Wisdom gained ** Review of key content ==Interventions== The ultimate test of a science is how well its principles can be applied to change desired outcomes. From a psychological point of view, motivation and emotion are dynamic and malleable and, therefore, can also be intentionally changed and strengthened. Well-designed interventions can develop motivational and emotional resources which help promote life outcomes that people care about (e.g., engagement, learning, performance, and well-being) (see Figure 1). The "trick" is not to try changing outcomes directly, but rather to ''alter the conditions'' so they are more conducive to the emergence of the desired outcomes. ==Plan== To systematically intervene, create and follow a plan: # '''Explain''': Diagnose–''Why'' is this happening? What is motivating this person? (Remember: ''All'' behaviour is motivated.) # '''Predict''': What will happen if nothing is done? What could happen if X changed? What if Y or Z changed? Consider options. # '''Intervene''': Apply motivation and emotion principles. Implement a step-by-step plan to alter: #* environment #* relationships #* motivation #* emotion # '''Observe/measure/adjust''': #* Measure key processes and outcomes (before, during, after) #* Track progress regularly #* Adjust strategies based on evidence of what works or not #* Document what was done, what changes, and why Change is difficult. Complex problems often need persistence, feedback, and refinement. If an intervention doesn't work, analyse why, and try a revised approach. ==Experimental manipulations== <div align="center"> {| class="wikitable mw-collapsible" |+ Examples of brief experimental manipulations ! Ch ! Motivation/Emotion ! Experimental manipulation |- | 3 | Trust | Oxytocin hormone via nasal spray |- | 4 | Sexual attraction | Facial metrics (large eyes, small nose, small chin) |- | 5 | Extrinsic motivation | Offering a scholarship for high grades |- | 6 | Autonomy | Self-direction in pursuit of a personal goal |- | 7 | Discrepancy | A difficult, specific, self-concordant goal to strive for |- | 8 | Growth mindset | Story about how Einstein worked hard to become smart |- | 9 | Self-efficacy | A highly competent role model |- | 10 | Self-control depletion | Resisting an attractive temptation for 5 minutes |- | 11 | Positive affect | Receiving a small, unexpected gift |- | 12 | Sadness | Viewing a film about a son at his Dad’s funeral |- | 13 | Embarrassment | Committing a social blunder in front of an audience |- | 14 | Congruence | Unconditional positive regard |- | 15 | Obsession | Keep a secret about the person you are talking to |} </div> ''Note''. Based on Reeve (2024), Table 16.2, p. 350 ==Mini-theories== Use theory to help explain the cause of what is happening and possible forms of intervention. All theories are (potentially) "correct"—the practitioner's job is to match the moment (time, place, context) with a potentially useful mini-theory. Here's a list of some key mini-theories discussed in this unit: * Achievement motivation * Arousal * Attribution * Basic psychological needs * Broaden-and-build * Cognitive dissonance * Cognitive evaluation theory * Drive * Ego depletion * Ego development * Facial feedback * Flow * Fully functioning person * Goal setting * Intrinsic-extrinsic motivation * Learned helplessness * Mindsets * Positive affect * Psychodynamics * Reactance * Self-actualisation * Self-concordance * Self-determination * Self-efficacy * Stress and coping What theories could help predict motivational and/or emotional responses to the following conditions? * Deprivation from food and people * Seeing a threatening (angry) face * Smelling rotting food * Encountering an obstacle to one's goal * Expecting a tangible reward (e.g., money) * Uncontrollable environment * Failure in front of others * Observing a competent role model * Autonomy-supportive teacher ==Intervention strategies== There are two basic strategies for intervening: * '''Overcome''': Fix what isn't working ** Repair weaknesses ** Overcome pathology * '''Promote''' and further develop what is already working ** Amplify strengths ** Improve functioning ==Practical problems== What intervention ideas, based on motivation or emotion theory, can you generate for the following scenarios? * Child not wanting to brush teeth * Sales employee quota * Elite athlete performance * Weight loss * Study motivation These scenarios are explained in more detail below (based on Reeve, 2024, Box 16, p. 348) Guide: * Why? (Explain) * What will happen; what could be? (predict) (Predict) * Implementation (application) of strategies (Intervene) Explain → Predict → Intervene: {{RoundBoxTop|theme=3}} ;Child not wanting to brush teeth A 6-year girl resists brushing her teeth every night before bed. She finds the routine boring and doesn't understand why it's important. When asked to brush her teeth, she plays with the water and brushes for only a few seconds. Her parents, aware of the long-term benefits of good dental hygiene, find themselves in a constant battle to get her to complete the task properly. None of their strategies seem to work. This nightly conflict drains the family's energy and patience. {{RoundBoxBottom}} {{RoundBoxTop|theme=3}} ; Sales employee quota A mid-level sales representative at a large company feels increasingly disillusioned with her role. Despite knowing she has the skills to sell, she faces rejection on nearly every call. Her company only measures her success through monthly quotas, providing no support for personal development or job satisfaction. She meets her quota some months, but the constant rejection and lack of recognition make her feel drained. Her confidence has eroded, and she is beginning to question whether this job aligns with her strengths and interests. She fantasises about quitting but worries about financial stability. {{RoundBoxBottom}} {{RoundBoxTop|theme=3}} ; Elite athlete performance A promising 18-year-old athlete (or musician) is in love with her craft. She spends hours practicing, enjoys the discipline, and consistently performs well. Despite her dedication, her growth in skill level has stagnated over the past year. While her peers are progressing rapidly, she feels stuck. Coaches and teachers praise her current ability but offer no new insights on how to break through to the next level. Frustrated, she worries that no matter how hard she works, she won't reach her goal of becoming an elite performer. Her motivation remains high, but she fears plateauing permanently. {{RoundBoxBottom}} {{RoundBoxTop|theme=3}} ;Weight loss A middle-aged man has been advised by his physician to lose 15 kilograms to avoid serious health risks, including a possible heart attack. He acknowledges the logic of the advice but feels disconnected from the urgency of the situation. A long history of poor dietary habits and a sedentary lifestyle has left him with little confidence that he can make meaningful changes. Despite multiple attempts to exercise and eat healthier in the past, nothing has ever stuck. He feels overwhelmed by the prospect of overhauling his lifestyle and is pessimistic that the results would justify the effort. {{RoundBoxBottom}} {{RoundBoxTop|theme=3}} ;Study motivation A university student in his third year is taking an advanced course in a subject he thought he could handle. Despite attending lectures and completing the readings, he performed poorly on the mid-term exam, far below his usual standards. The grade was a shock, leaving him feeling embarrassed and ashamed. He begins to doubt his abilities and contemplates giving up entirely. Each new lecture feels more overwhelming, and his efforts in studying feel futile. As the second half of the semester looms, his motivation plummets, and he wishes he could just drop the course. {{RoundBoxBottom}} ==Nuggets of truth== [[File:Pearl 1.svg|right|50px]] [[File:Treasurchest.svg|right|50px]] After a tsunami of theories and research, let's gather your pearls or wisdom or nuggets of truth about the psychology motivation and emotion: * What are the '''greatest insights''', '''significant learnings''', or '''best ideas''' you've acquired through this unit? * What was the '''take-home message'''(s) from the chapter you created? Contribute your insights to: * [[Motivation and emotion/Nuggets of truth|Nuggets of truth]] (Wikiversity) <!-- Example book chapter take-home messages: * [https://x.com/jtneill/status/1451068316131287041 X] (2021) * [[Motivation and emotion/Book/2011/Pearls_of_wisdom|Wikiversity]] (2011) --> ==Wisdom gained== {{Nutshell| Motivation and emotion fuel human behaviour, shaped by unconscious drives and conscious goals, with social relations playing a key role. While we may underestimate the power of biological urges and emotional dynamics, intrinsic motivation and clear plans unlock our best performance. Self-efficacy and self-control help balance short-term impulses with long-term aspirations. The development of emotional intelligence helps with emotion regulation. Expressing and pursing higher needs guides us towards growth, flourishing, and fulfilling our potential. Understanding the functional complexity of motivation and emotion can help optimise human productivity and well-being.}} Wisdom gained from a scientific study of motivation and emotion includes that: # '''Motivation''' = behavioural energy, direction, and persistence # '''What we don't know''' about motivation and emotion exceeds what we do know # The '''brain''' is as much about motivation and emotion as it is about cognition and thinking # We underestimate how powerful a motivational force '''biological urges''' can be when not experiencing them # '''Quality''' of motivation (intrinsic vs. extrinsic) is important # To flourish, motivation needs supportive conditions, especially '''supportive relationships''' <!-- # '''Implicit''' (unconscious) '''motives''' predict behaviour better than explicit (conscious) motives --> # We do our best when we have a specific plan of action to pursue a '''difficult, specific, and self-congruent goal''' # People with '''different mindsets''' pursue goals in different ways # The core '''self-efficacy beliefs''' of "I can do it" and "it will work" underlie competent functioning # Exert '''self-control over short-term urges''' to effectively pursue long-term goals # All '''emotions are good''' because they serve a functional purpose # '''Other people''' are the source of most of our emotions # The more sophisticated our '''emotional repertoire''', the more likely we are to have the right emotions in every situation # '''Encouraging growth''' is more productive than trying to cure weakness # Motivation often arises from outside of '''conscious awareness''' # There is nothing so practical as a '''good theory''' ==Readings== * Chapter 16: Interventions ([[Motivation and emotion/Readings/Textbooks/Reeve/2024|Reeve, 2024]]) ==Slides== * [https://docs.google.com/presentation/d/1rpaBEkSs5p0TFT3i5JT_o0vG3wZkTJtFAdMO74h8teQ/edit?usp=sharing Interventions] (Google Slides) * [https://docs.google.com/presentation/d/1kucigYPF-72cP0FAbzQZmnOUhNfilMSsbGOQnrnWRaM/edit?usp=sharing Review] (Google Slides) <!-- * [http://www.slideshare.net/jtneill/conclusion-and-review Lecture slides] (Slideshare, 2016) * Handouts **[[Media:Motivation and Emotion - Lecture 12 - Interventions and review 6slidesperpage.pdf|Download 6 slides to a page]]: [[File:Motivation and Emotion - Lecture 12 - Interventions and review 6slidesperpage.pdf|100px]] ** [[Media:Motivation and Emotion - Lecture 12 - Interventions and review 3slidesperpage.pdf|Download 3 slides to a page]]: [[File:Motivation and Emotion - Lecture 12 - Interventions and review 3slidesperpage.pdf|100px]] * 2014 handouts ** [[Media:Motivation and Emotion - Lecture 12 - Conclusion and review 6slidesperpage.pdf|Download 6 slides to a page]]: [[File:Motivation and Emotion - Lecture 12 - Conclusion and review 6slidesperpage.pdf|100px]] ** [[Media:Motivation and Emotion - Lecture 12 - Conclusion and review 3slidesperpage.pdf|Download 3 slides to a page]]: [[File:Motivation and Emotion - Lecture 12 - Conclusion and review 6slidesperpage.pdf|100px]] * 2011 handouts ** [[Media:Motivation and Emotion - Lecture 12 - Conclusion and review 2011 6slidesperpage.pdf|Download 6 slides to a page]]: [[File:Motivation and Emotion - Lecture 12 - Conclusion and review 2011 6slidesperpage.pdf|100px]] ** [[Media:Motivation and Emotion - Lecture 12 - Conclusion and review 2011 3slidesperpage.pdf|Download 3 slides to a page]]: [[File:Motivation and Emotion - Lecture 12 - Conclusion and review 2011 6slidesperpage.pdf|100px]] ==Recordings== ;13/11/2013 {{Motivation and emotion/Lectures/Recording3|2013|5b4fdfbe-0073-498f-ad85-53d9c6d06e89}} ;16/11/2011 {{Motivation and emotion/Lectures/Recording|2011|http://echo360access.canberra.edu.au/ess/echo/presentation/2f0f632f-3432-4422-a0d3-20db5bbea67f|http://echo360access.canberra.edu.au/ess/echo/presentation/2f0f632f-3432-4422-a0d3-20db5bbea67f/media.m4v|http://echo360access.canberra.edu.au/ess/echo/presentation/2f0f632f-3432-4422-a0d3-20db5bbea67f/media.mp3}} <!-- * [http://echo360access.canberra.edu.au/ess/echo/presentation/1939052c-feca-4ab2-8c81-4b28bb445872/media.mp3 mp3] (audio) * [http://echo360access.canberra.edu.au/ess/echo/presentation/1939052c-feca-4ab2-8c81-4b28bb445872/media.m4v m4v] (video) * [http://echo360access.canberra.edu.au/ess/echo/presentation/1939052c-feca-4ab2-8c81-4b28bb445872 echo360] (rich media) --> ==See also== * [[/Images/]] ; Lecture * [[{{#titleparts:{{PAGENAME}}|2}}/Growth psychology|Growth psychology]] (Previous lecture) ; Tutorial * [[Motivation and emotion/Tutorials/Review|Review]] (Tutorial) ==Recording== * [https://au-lti.bbcollab.com/recording/d392b5d128bd471e998814f603f27a19 Lecture 12] (2026)<!-- * [https://au-lti.bbcollab.com/recording/b13748d85c474a87a061ab86fdc19adc Lecture 12] (2025) * [https://au-lti.bbcollab.com/recording/daa1ba979ba045799efbe73f3226b00f Lecture 12] (2024) * [https://au-lti.bbcollab.com/recording/8ef2ff0521b1457197d7920a93cffc99 Lecture 12] (2023) * [https://au-lti.bbcollab.com/recording/53b16231d9904444bac31b14bc7784f6 Lecture 12 recording] (2022) * [https://au-lti.bbcollab.com/recording/0bd459db9ece46b388a4b794f5751cff Lecture 12 recording] (2021) * [https://au-lti.bbcollab.com/recording/e810c154cfbe41189f8fb4056c871206 Lecture 12 recording] (2020) * [https://echo360.org.au/media/ea2a5707-6be8-43fc-996c-e176ce54bc4f/public Lecture 12 recording] (2018) * [https://echo360.org.au/media/2417e774-f589-4635-9955-9aaf73bcd3b8/public Lecture 12 recording] (2017)--> ==References== {{Hanging indent|1= Cheon, S. H., Reeve, J., & Moon, I. S. (2012). Experimentally based, longitudinally designed, teacher-focused intervention to help physical education teachers be more autonomy supportive toward their students. ''Journal of Sport and Exercise Psychology'', ''34''(3), 365–396. https://doi.org/10.1123/jsep.34.3.365 Izard, C. E., King, K. A., Trentacosta, C. J., Morgan, J. K., Laurenceau, J.-P., Krauthamer-Ewing, S. E., & Finlon, K. J. (2008). Accelerating the development of emotion competence in Head Start children: Effects on adaptive and maladaptive behavior. ''Development and Psychopathology'', ''20'', 369–397. https://doi.org/10.1017/S0954579408000175[https://www.cambridge.org/core/services/aop-cambridge-core/content/view/82060B84CF144DBC4E1AC53CEC26A494/S0954579408000175a.pdf/accelerating_the_development_of_emotion_competence_in_head_start_children_effects_on_adaptive_and_maladaptive_behavior.pdf] Yeager, D. S., Trzesniewski, K. H., & Dweck, C. S. (2013). An implicit theory of personality intervention reduces adolescent aggression in response to victimization and exclusion. ''Child Development'', ''84'', 970–988. https://doi.org/10.1111/cdev.12003 }} <!-- ==External links== --> {{Motivation and emotion/Lectures/Navigation}} [[Category:Motivation and emotion/Lectures/Interventions and review]] e7s7fm7pvjk05b1qirn9bmrtztusvns 0 100120 2844441 2722053 2026-11-04T10:02:45Z CommonsDelinker 9184 Removing [[:c:File:Cambodian_Reil.jpg|Cambodian_Reil.jpg]], it has been deleted from Commons by [[:c:User:Krd|Krd]] because: per [[:c:Commons:Deletion requests/Files in Category:Banknotes of Cambodia|]]. 2844441 wikitext text/x-wiki Part of the [[Comparative law and justice]] Wikiversity Project {{Comparative law and justice project|region=Asia}} [[User:Clint4411|Clint4411]] 17:03, 16 September 2010 (UTC) == Basic Information == [[File:Dawn at the temple Ankor Wat at sunrise, Siem Reap, Cambodia.jpg|thumb|650px|'''The temple of Angkor Wat at Sunrise''' Located in Siem Reap province Angkor Wat stands as a testament to the engineering capabilities of the Angkor Empire. At its zenith, Greater Angkor encompassed almost 400 square miles. Angkor's vast expanse of irrigation systems located around the temple facilitated rice production, providing sustenance for an estimated 750,000 inhabitants, with perhaps as many as 40,000 located within the temple city itself.<ref>Richard Stone. "Answers from Angkor." National Geographic Jul. 2009: 26-55. Print.</ref>]]Located in Southeast Asia, '''Cambodia''' (a.k.a. the '''Kingdom of Cambodia''', Khmer: ព្រះរាជាណាចក្រកម្ពុជា) abuts the Gulf of Thailand located to its west and shares borders with Vietnam, Thailand and Laos.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> Out of an estimated population of 14,494,293, 90% consider themselves to be Khmer, an ethnicity that traces its origins back to the Angkor Empire which began sometime around 800 A.D. and is thought to have collapsed within the 13th century.<ref>Richard Stone. "Answers from Angkor." National Geographic Jul. 2009: 26-55. Print.</ref> Ravaged by decades of colonial domination and warfare, Cambodia has experienced a multitude of legal systems and governing authorities that predominately reduced the population to nominal independence if not outright subservience.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> As of today, Cambodia is a "multiparty democracy under a constitutional monarchy" sectioned into varying provinces with a general growth in GDP.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> This economic growth is due to budding textile manufacturing, tourism and agriculture (rubber and rice) sectors.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> There have also been vast reserves of extractable oil located under Cambodian water ways along with possibilities for mining extraction in the north including "bauxite, gold, iron, and gem" deposits.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> ==Brief History== Cambodia became integrated into the French colony of Indochina in 1887 until the outbreak of WWII when French colonial domination became displaced by that of Imperial Japan.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> At the end of WWII the French again attempted to re-colonize Indochina, requiring the suppression of grassroots movements demanding independence, most notably that of Ho Chi Minh and the Viet Minh; a revolutionary movement within Viet Nam combining Communist ideology centered on land redistribution, self sufficiency and anti-imperialist nationalism.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> The French received extensive support from the United States with the U.S. funding up to 80% of the French war effort by 1954.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> America's support for colonization in Indochina can be characterized with respect to two components of interest; one being that the United States was now locked into a global power struggle with the Soviet Union and any nation that supported Communist ideology was seen as a potential 'domino' leading to a successive virus of Soviet support that would spread from nation to nation.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> The second lies in Indochina's strategic value; occupying a proximity to Indonesia, India, China and the Philippines with most of these countries possessing U.S. military installations. Indochina was also a key supplier of important mineral wealth. As a classified memo of the National Security Council stated in June 1952: "Communist control of all of Southeast Asia...would seriously jeopardize fundamental U.S. security interest...Southeast Asia...is the principle world source of natural rubber, tin, and a producer of petroleum and other strategically important commodities".<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> In 1954, with the French unable to suppress the populist movements in Indochina, the warring parties convened in Geneva and the peace accords were drawn up.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> Indochina was thus separated into three nation states under the conditions of the Geneva Conference; Vietnam, Cambodia, and Laos.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> A political settlement was drawn up for all three of these newly devised nation states.<ref>Chomsky, N. Herman, E.S. (2002). The Indochina Wars (II): Laos and Cambodia. ''Manufacturing Consent: The Political Economy of the Mass Media''. 253-296.</ref> Under the Geneva Accords, Indochina was granted 'sovereignty' with it being decided that within Vietnam the French would temporarily consign themselves to the south and the Vietminh would preside over the north, with national elections to take place encompassing a unified Vietnam in two years time.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> The United States immediately moved to undermine the peace agreements in direct violation of their conditions, installing the Diem regime to control the client state constructed within South Vietnam as well as a client regime in Laos.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> <ref>Chomsky, N. Herman, E.S. (2002). The Indochina Wars (II): Laos and Cambodia. ''Manufacturing Consent: The Political Economy of the Mass Media''. 253-296.</ref> Diem complied with U.S. intentions; putting off national elections, appointing corrupt military officials as provincial leaders, and implementing watered down land reforms.<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> [[File:B-52D(061127-F-1234S-017).jpg|thumb|350px| '''Yellow Rain''' There was a campaign in the 1980's to direct public attention to alleged "Yellow Rain", a chemical agent that was dropped on Cambodia by the Soviets through various units of proxy. This theory was later dispelled, although the United States did drop 20 million gallons of chemical agents on 6 million acres of Vietnamese lands; approximately 13% of the country.<ref>Chomsky, N. Herman, E.S. (2002). Introduction: Vietnam, Laos, and Cambodia. ''Manufacturing Consent: The Political Economy of the Mass Media''. xi-lviii.</ref>]] An internal Pentagon investigation of the Vietnam War stated; "South Vietnam was essentially the creation of the United States".<ref>Zinn, H. (2003). The Impossible Victory: Vietnam. ''A People's History of the United States: 1492-Present''. 469-501.</ref> The ensuing war between the United States and the NLF (National Liberation Front) in the south and the Viet Minh in the north had dramatic consequences for Vietnam's neighbor. The U.S. began a secret carpet bombing campaign within Cambodia in 1969 code named “Operation Breakfast”, exacting a death toll on the population estimated anywhere from 150,000 to 500,000 casualties.<ref>Public Broadcasting Service (PBS). 2002-2010. "Cambodia- Pol Pot's Shadow, October, 2002: Chronicle of Survival (1964-1967) Caught in the Crossfire". Boston, Massachusetts: WGBH Educational Foundation. Retrieved 2010 (http://www.pbs.org/frontlineworld/stories/cambodia/tl02.html)</ref> Nixon authorized these bombings without any congressional approval or oversight seeing as that would have entailed congress approving unilateral military action against yet another Southeast Asian country.<ref>Public Broadcasting Service (PBS). 2002-2010. "Cambodia- Pol Pot's Shadow, October, 2002: Chronicle of Survival (1964-1967) Caught in the Crossfire". Boston, Massachusetts: WGBH Educational Foundation. Retrieved 2010 (http://www.pbs.org/frontlineworld/stories/cambodia/tl02.html)</ref> The White House along with the Washington intelligence community believed that the Vietnamese were running supply routes through Cambodia to support their combat efforts.<ref>Chomsky, N. Herman, E.S. (2002). The Indochina Wars (II): Laos and Cambodia. ''Manufacturing Consent: The Political Economy of the Mass Media''. 253-296.</ref> Nixon took steps to arm the government in Phnom Penh (Cambodia's capital) as a means to stymie perceived Communist advances while simultaneously dropping 540,000 tons of bombs on the rural peasantry in the countryside, with some estimates claiming that the bombing of Cambodia during this period exceeded the amount dropped on all of Europe during WWII.<ref>Nixon, Richard. Kissinger, Henry A. Johnson, U Alexis. Pickering, Marshal Green Thomas. Packard, David. Helms, Richard. Karamessines, Thomas. Wells, William. Moorer, Admiral Thomas. Vogt, General John. Holdridge, John. Kennedy, Col. Richard C. June 15, 1970. "Washington Special Actions Group: Cambodia." Washington DC: National Security Archives, 1995-2006. Retrieved 2010 (http://www.gwu.edu/~nsarchiv/NSAEBB/NSAEBB193/index.htm#4) (http://www.gwu.edu/~nsarchiv/NSAEBB/NSAEBB193/HAK-6-15-70.pdf)</ref> <ref>Public Broadcasting Service (PBS). 2011. "Refugee: War and Cambodia". Arlington, Virgina: Independent Television Service (ITVS). Retrieved 2010 (http://www.pbs.org/independentlens/refugee/war_cambodia.html)</ref> <ref>Public Broadcasting Service (PBS). 2002-2010. "Cambodia- Pol Pot's Shadow, October, 2002: Chronicle of Survival (1964-1967) Caught in the Crossfire". Boston, Massachusetts: WGBH Educational Foundation. Retrieved 2010 (http://www.pbs.org/frontlineworld/stories/cambodia/tl02.html)</ref> Nixon's own strategy in regards to the bombing campaign can be quoted from conversations with Kissinger: "A massive bombing campaign in Cambodia. Anything that flies on anything that moves."<ref>Chomsky, N. (2006). Illegal but Legitimate. ''Failed States: The Abuse of Power and the Assault on Democracy''. 79-101.</ref> Due to legislation the bombing campaign was reportedly stopped in August 1973 upon Congressional discovery, but bombings pursued until the rise of the Khmer Rouge in 1975.<ref>Chomsky, N. Herman, E.S. (2002). The Indochina Wars (II): Laos and Cambodia. ''Manufacturing Consent: The Political Economy of the Mass Media''. 253-296.</ref> [[File:TuolSlang3.jpg|left|thumb| '''Tuol Sleng Prison''' The walls of this concentration camp turned museum are adorned with the pictures of victims of the Khmer Rouge. Before Tuol Sleng served as an internment center it was originally a school. Now one may tour the site and visit the cells of those once housed here. Upon original discovery, there were still tortured and mangled bodies hand-cuffed to the steel frames of beds.]] The Khmer Rouge was a communist political party directed under the auspices of Pol Pot. It amassed the majority of its support from the peasant youth of the country side, which then went on to organize Cambodia into forced labor camps which led to the deaths of between an estimated 1.7 to 2.5 million people.<ref>Public Broadcasting Service (PBS). 2002-2010. "Cambodia- Pol Pot's Shadow, October, 2002: Chronicle of Survival (1975-1979) Terror and Genocide". Boston, Massachusetts: WGBH Educational Foundation. Retrieved 2010 (http://www.pbs.org/frontlineworld/stories/cambodia/tl03.html)</ref> Many have claimed that the rural support of some 50,000 peasants constituting the Khmer Rouge joined as a retaliatory measure for the U.S. bombings, suggesting that American policy was critically vital to garnering Cambodian support for this political party.<ref>Public Broadcasting Service (PBS). 2011. "Refugee: War and Cambodia". Arlington, Virgina: Independent Television Service (ITVS). Retrieved 2010 (http://www.pbs.org/independentlens/refugee/war_cambodia.html)</ref> <ref>Chomsky, N. Herman, E.S. (2002). The Indochina Wars (II): Laos and Cambodia. ''Manufacturing Consent: The Political Economy of the Mass Media''. 253-296.</ref> The Khmer Rouge's campaign consisted of the creation of what would supposedly become an agrarian utopia. In order to make this a reality Pol Pot considered it a necessity to bring the country back to the "Year Zero", which meant destroying technology (not useful to the Khmer rouge themselves) and murdering all educated sectors of society, destroying what knowledge had led to the creation of a country that had advanced under the auspices of a political ideology outside that of Pol Pot's own.<ref>Public Broadcasting Service (PBS). 2011. "Refugee: War and Cambodia". Arlington, Virgina: Independent Television Service (ITVS). Retrieved 2010 (http://www.pbs.org/independentlens/refugee/war_cambodia.html)</ref> Under this program roughly fifteen to twenty percent of the population was murdered, with many Cambodians fleeing into Thailand.<ref>Public Broadcasting Service (PBS). 2011. "Refugee: War and Cambodia". Arlington, Virgina: Independent Television Service (ITVS). Retrieved 2010 (http://www.pbs.org/independentlens/refugee/war_cambodia.html)</ref> The end of the Khmer Rouge nightmare did not end for Cambodians until 1978, when Vietnam invaded and deposed the murderous regime.<ref>Public Broadcasting Service (PBS). 2011. "Refugee: War and Cambodia". Arlington, Virgina: Independent Television Service (ITVS). Retrieved 2010 (http://www.pbs.org/independentlens/refugee/war_cambodia.html)</ref> It is interesting to note that the Khmer Rouge received extensive support from the United States after they were ousted by the Vietnamese; Pol Pot receiving varying forms of political protection from the U.S. and Khmer Rouge troops residing in rural hideouts receiving tactical support.<ref>Chomsky, N. Herman, E.S. (2002). The Indochina Wars (II): Laos and Cambodia. ''Manufacturing Consent: The Political Economy of the Mass Media''. 253-296.</ref> It was not until 1988 that Vietnam began the process of withdrawing troops from Cambodia and 1994 that a formal cease-fire was established, with some 350,000 refugees within Thailand attempting to repatriate.<ref>Public Broadcasting Service. 2011. "Refugee: War and Cambodia". Independent Television Service (ITVS). Retrieved 2010 (http://www.pbs.org/independentlens/refugee/war_cambodia.html)</ref> Today, although the country is beginning to rebuild, there is still considerable economic disparities between rich and poor along with a lack of extensive infrastructure, undetonated bombing material left by the U.S. that routinely kills or maim civilians, and high levels of disease and malnutrition. ==Economic Development, Health, and Education== A United Nations Capital Development Fund (UNCDF) document stated that as of 1999 the World Bank had "estimated the" Cambodian "GDP per capita at 260 US$", with UNCDF themselves claiming Cambodia to be among one of the poorest nations in the world.<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> [[File:The Palm Juice Man Kraing Tbong 01 06.JPG|thumb|300px| '''Development in Relative Terms''' Although Cambodia has been gradually developing, recovering from unimaginable hardship, improvements in rural areas are still lacking. According to UNICEF, some "80% of Cambodians still live in the countryside" with only "16 per cent of rural Cambodians" having "access to adequate sanitation and 65 per cent to safe water". Many, like the man in this photograph, tap palm juice from local species of trees as a source of sustenance.<ref>Guy, Degan. 2007. "Lack of adequate sanitation triggers child health concerns in Cambodia." New York, New York: United Nations Children's Fund (UNICEF) Retrieved 2010 (http://www.unicef.org/wash/cambodia_39558.html)</ref>]] The United Nations Children Fund (UNICEF) states as of 2010 that more than one-third of Cambodians survive on less than $1 a day, falling well below the poverty line.<ref>United Nations. 2006. "Cambodia: Background." New York, New York: United Nations Children Fund (UNICEF) Retrieved 2010 (http://www.unicef.org/infobycountry/cambodia_2190.html)</ref> Although Cambodia has seen substantial growth with people living in poverty falling from 4.7 million as of 1993 to approximately 4 million as of 2007, 45% of Cambodian children show "moderate or severe stunting" along with the country having "the highest infant and under-five mortality rates in the region" and surveys conducted by the Asia Foundation as of 2003 reporting that Cambodians cite poverty as being the number one problem they continue to face, with many citizens in rural regions being left behind by growth.<ref>United Nations. 2006. "Cambodia: Background." New York, New York: United Nations Children Fund (UNICEF) Retrieved 2010 (http://www.unicef.org/infobycountry/cambodia_2190.html)</ref><ref>Meisburger, Tim. 2003. "A Survey of the Cambodian Electorate" ''Democracy in Cambodia-2003, 2003'' San Francisco, California: The Asia Foundation Retrieved 2010 (http://asiafoundation.org/pdf/DemocracyinCambodia.pdf)</ref><ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> [[File:Khotan-melikawat-chicas-d03.jpg|thumb|left| '''Another Casualty of Politics''' In 1947, the Uighurs accounted for 75% (3 million) of Xinjiang's population with the Han numbering around 5% (220,000). As of 2007, with Chinese efforts to culturally, economically, politically, and numerically dominate the resource rich region the Uighur numbered at 9.6 million, but the Han population has risen to 8.2 million.<ref>Teague, Matthew. "The Other Tibet." National Geographic Dec. 2009: 30-55. Print.</ref>]] Currently, key sectors of the Cambodian economy are growing. Agriculture, mostly being rice production and livestock, accounts for the largest sector of the economy; somewhere around "43% of the GDP in 1998".<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> Although agriculture comprises the largest economic sector, the industrial, manufacturing, and service sectors contribute to the majority of market growth. The garment industry alone accounted for 22% of growth in 2008 with tourism and construction accounting for sizable portions as well, although these sectors have suffered in conjunction with the world market as of late 2008.<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> For instance, the industrial production growth rate for 2009 was -6.5%.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> Imports and exports also fell substantially that same year, to the detriment of the garment sector.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> <ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> GDP growth is cited by UNCDF as averaging somewhere around 8.4% for the last fifteen years, with 2004 to 2007 experiencing "double-digit growth".<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> Since Cambodia's stabilization efforts in the 1990's it has been highly reliant upon foreign aid, a substantial amount of which comes from the United States.<ref>Campbell, Sam. 2010. "The US Loses Out to China in Cambodia." Hong Kong: Asia Sentinel. Retrieved 2010 (http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367)</ref> For 2011 alone, globally contributed aide was projected somewhere around 1.1 billion dollars.<ref>http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367</ref> The aide donated to Cambodia from international power-brokers does not come without baggage or strings attached, one fundamental motivation being which country can contain Cambodia (and developing nations in general) within it's sphere of influence. The United States and China engage in routine back and forth political and economic wrangling in this regard.<ref>Campbell, Sam. 2010. "The US Loses Out to China in Cambodia." Hong Kong: Asia Sentinel. Retrieved 2010 (http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367)</ref> Military aide is routinely complimented by moral overtones emanating from the U.S.. This was the case as when in December Cambodia "deported 20 Uighur asylum seekers back to China" (also spelled Uygur).<ref>Campbell, Sam. 2010. "The US Loses Out to China in Cambodia." Hong Kong: Asia Sentinel. Retrieved 2010 (http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367)</ref> The Uighurs are a minority Islamic ethnic group persecuted within China due to the fact that they sit on land (consisting of the Chinese province of Xinjiang) which "contains about 40 percent of China's coal reserves and more than a fifth of its natural gas"; a place that they have historically occupied for centuries.<ref>Teague, Matthew. "The Other Tibet." National Geographic Dec. 2009: 30-55. Print.</ref> This frequently leads to the dislocation and dispossession of the Uighurs in order to accommodate economic development and clear land to be settled by the Han, a favored Chinese population with cultural and ethnic ties compatible with the interests of the Chinese state.<ref>Teague, Matthew. "The Other Tibet." National Geographic Dec. 2009: 30-55. Print.</ref> In light of the deportations the U.S. suspended the shipment of "200 military trucks" as of April 1, 2010, claiming that the suspension of the military surplus originally to be allocated to Cambodia was due to the country's "failure to live up to their international obligations"; a highly altruistic gesture on the part of the United States in support of human rights violations.<ref>Campbell, Sam. 2010. "The US Loses Out to China in Cambodia." Hong Kong: Asia Sentinel. Retrieved 2010 (http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367)</ref> However, the Cambodian decision to deport the Uighurs was announced in mid December 2009, with the U.S. announcing its decision in April of the next year; nearly a four month delay.<ref>Campbell, Sam. 2010. "The US Loses Out to China in Cambodia." Hong Kong: Asia Sentinel. Retrieved 2010 (http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367)</ref> Interestingly, during the 17th to the 19th of March 2010 the Chinese Deputy Prime Minister, Hui Liangyu, made a visit to Cambodia.<ref>Klein, Norbert. 2010. "China Signed Three Commercial Agreements with Cambodia." Phnom Penh, Cambodia: The Mirror. Retrieved 2010 (http://www.cambodiamirror.org/2010/03/20/china-signed-three-commercial-agreements-with-cambodia-friday-19-3-2010/)</ref> The D.P.M. presided over the signing of agreements expanding commercial ties between the two countries, most notably in the sectors of agriculture (which "accounts for almost 27% of the country’s GDP") and "in the field of post and telecommunications".<ref>Klein, Norbert. 2010. "China Signed Three Commercial Agreements with Cambodia." Phnom Penh, Cambodia: The Mirror. Retrieved 2010 (http://www.cambodiamirror.org/2010/03/20/china-signed-three-commercial-agreements-with-cambodia-friday-19-3-2010/)</ref> In 2008, the Cambodian post and telecommunications sectors were estimated "at US$429 million" and is projected only to expand.<ref>Klein, Norbert. 2010. "China Signed Three Commercial Agreements with Cambodia." Phnom Penh, Cambodia: The Mirror. Retrieved 2010 (http://www.cambodiamirror.org/2010/03/20/china-signed-three-commercial-agreements-with-cambodia-friday-19-3-2010/)</ref> China also agreed to "export up to 418 items of goods".<ref>Klein, Norbert. 2010. "China Signed Three Commercial Agreements with Cambodia." Phnom Penh, Cambodia: The Mirror. Retrieved 2010 (http://www.cambodiamirror.org/2010/03/20/china-signed-three-commercial-agreements-with-cambodia-friday-19-3-2010/)</ref> [[File:Cambodian fishing boat.jpg|thumb| '''Food Insecure''' According to the United Nations Development Programme (UNDP) for Cambodia, Cambodia is one among "36 countries with the highest burden of child under-nutrition" and among "33 alarming countries for levels of hunger and under nutrition." As of 2009, about 1.7 million Cambodians were "food insecure", with many Cambodians affected by global increases in food prices.<ref>United Nations. 2010. "United Nations Development Programme Cambodia: Poverty Reduction." New York, New York: United Nations Development Programme. Retrieved May 2, 2011 (http://www.un.org.kh/undp/what-we-do/poverty-reduction)</ref>]] These developments in 2010 were of extreme importance to the Cambodian economy due to the fact that in 2009 and 2008 overall investment from China had been tightened by the weakening of global financial markets.<ref>Klein, Norbert. 2010. "China Signed Three Commercial Agreements with Cambodia." Phnom Penh, Cambodia: The Mirror. Retrieved 2010 (http://www.cambodiamirror.org/2010/03/20/china-signed-three-commercial-agreements-with-cambodia-friday-19-3-2010/)</ref> Conversely, when in August of 2009 Virginia Senator Jim Webb ("chairman of the East Asia and Pacific Affairs Subcommittee") made a tour of South East Asia, all he could offer to Cambodia were intentions to increase private investment and trade with the country.<ref>Sothea, Ros. 2009. "US Senator Envisions More Investment in Cambodia." Phnom Penh, Cambodia: KI Media. Retrieved 2010 (http://ki-media.blogspot.com/2009/08/us-senator-envisions-more-investment-in.html)</ref> It would seem that China is positioned to incorporate Cambodian exports into its continually growing domestic markets when the global financial system is continually stifled, something which the U.S. seems incapable of matching. China also delivers military aide without any pretense or preconditions, something the U.S. is seemingly unwilling to do.<ref>Campbell, Sam. 2010. "The US Loses Out to China in Cambodia." Hong Kong: Asia Sentinel. Retrieved 2010 (http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367)</ref> [[File:Cambodiaricefarming.jpg|thumb|left|300px| '''Rural Stagnation''' Poverty has been reduced in Cambodia from about 47% to about 30% within a fourteen-year period, which means that about one-third of Cambodians are still living in poverty. According to the UNDP "Rural inequality rose from 0.27 in 1994 to 0.33 in 2004 and climbed again to 0.36 in 2007" and of the poor "92 percent live in rural areas."<ref>United Nations. 2010. "United Nations Development Programme Cambodia: Poverty Reduction." New York, New York: United Nations Development Programme. Retrieved May 2, 2011 (http://www.un.org.kh/undp/what-we-do/poverty-reduction)</ref>]] The U.S. also chooses not to match China's ample spending on Cambodian infrastructure projects (some amounting to "US$1.6 billion") on "big ticket items like roads, bridges and railways" and hasn't proposed to forgive debt incurred by Cambodia "worth US$4.24 million", as has China.<ref>Campbell, Sam. 2010. "The US Loses Out to China in Cambodia." Hong Kong: Asia Sentinel. Retrieved 2010 (http://www.asiasentinel.com/index.php?option=com_content&task=view&id=2814&Itemid=367)</ref> In sum total, the U.S. move to suspend military aide in light of the Uighurs deportation seems to be more a reaction to China's ever expanding influence in the region and control of key market sectors. There have been no similarly reported suspensions from the U.S. to Cambodia when other human rights have been violated (land grabs carried out by the government on rural peasants, the murder of labor organizers, the imprisonment of opposition leaders). The decision to suspend the donation of the military hardware is most likely a response to China's signing of private investment agreements and integration into the Cambodian domestic market, intended as both a warning to the Cambodian government and a move to undermine Chinese influence. No doubt the U.S. is concerned with the deportation, but only due to the fact that those being deported represent the indignity and interest of a geopolitical rival (China) with the incident therefore serving a strategic interest and political utility for the U.S. on the international stage. Unfortunately, both the Uighurs and Cambodia are pawns within geopolitical power conflicts. Cambodia is a land ripe for investment when the right people benefit, leading to abuse of power at the expense of the larger community. This may also be evident in the fact that although many Cambodians (.7 million) have been lifted from abject poverty, the wealth generated from a growing Cambodian economy is being distributed extremely unequally.<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> A 2010 UNCDF report stated; "Inequality of consumption measured by the Gini coefficient increased from an estimated 0.39 in 2004 to 0.43 in 2007. Analysis of Cambodia’s progress towards MDG 1, in terms of reduction of inequality, presents a performance of -76% against the 2015 target. Cambodia’s unequal growth dynamics have strong territorial dimensions" (the Gini Coefficient is a measurement of statistical dispersion, the higher the number the greater the stratification between the things being measured).<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> The report goes on to state that the disparities in growth between various provinces is based on the strength or weakness of key sectors of industry, for instance "tourism in Siem Reap or natural resource exploitation in the cases of Mondulkiri".<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> These differences in development may distort economic indicators due to the fact that "GDP is performance is often based on activities" "that do not necessarily spread wealth broadly amongst the population".<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> What is made clear is that economic progress, commonly defined through the developing infrastructure of urban epicenters, simply measured through GDP is distorting seeing that ""92% of all the poor, or 3.7 million persons, lived in rural areas" with "Less than 10% of all rural dwellers have electricity and only about 15% have toilets, while access to safe water supplies is reported as 48% overall".<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> Infrastructure projects such as roads and bridges are routinely built in the urban provinces in order to facilitate economic activity complimentary with the global market while "Most inhabitants of rural areas of the Tonle Sap, coast and upland provinces live 10 km or more from the nearest market".<ref>United Nations. 2010. "Trends-Policies-Governance" ''Local Development Outlook: Cambodia, 2010.'' New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> It is also questionable when reportedly "57.6%" of the labor force finds their occupation within the sector of agriculture that only "1.7 percent" of the national budget is "spent on agriculture", "0.7 percent on water resources" (vital to developing irrigation systems necessary for harvesting crops, not to mention clean drinking water), and "About 1.7 percent" "set aside for rural development". <ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref><ref>Parry, Mc. 2009. "Cambodia gives big boost to military budget." (Headquarters Unspecified): World Military Forum-Latest Military News. Retrieved 2010 (http://www.armybase.us/2009/10/cambodia-gives-big-boost-to-military-budget/)</ref> Compare this total spent on fields relating to rural resource development and agriculture of a meager 3.1% of the national budget with the amount dedicated to developing the military. In 2009 the Cambodian government announced that the military was being allocated "14 percent of total spending" from the projected 2010 budget.<ref>Parry, Mc. 2009. "Cambodia gives big boost to military budget." (Headquarters Unspecified): World Military Forum-Latest Military News. Retrieved 2010 (http://www.armybase.us/2009/10/cambodia-gives-big-boost-to-military-budget/)</ref> This 14% amounted to approximately "$274 million", a "23 percent" increase from the previous year, with the total national budget running at roughly "$1.97 billion".<ref>Parry, Mc. 2009. "Cambodia gives big boost to military budget." (Headquarters Unspecified): World Military Forum-Latest Military News. Retrieved 2010 (http://www.armybase.us/2009/10/cambodia-gives-big-boost-to-military-budget/)</ref> The Cambodian government has denied that these constant increases in military spending are a reaction to the need to protect territory currently in dispute with neighbors, especially the "temple of Preah Vihear" ("a 900-year-old, cliff top Hindu temple") in the province of Preah Vihear (which, although designated as a world heritage site under Cambodian jurisdiction by the U.N., both Thailand and Cambodia claim as their own).<ref>(Author Unspecified). 2008. "Cambodia, one of Asia's poorest countries, doubles military spending." Rome, Italy: Asia News.it. Retrieved 2010 (http://www.asianews.it/news-en/Cambodia,-one-of-Asia%27s-poorest-countries,-doubles-military-spending-13613.html)</ref> In spite of the denial, within the context of these events, claims were also made by the Cambodian government that "This big budget for defense is meant for preventative measures in response to international conflicts".<ref>Parry, Mc. 2009. "Cambodia gives big boost to military budget." (Headquarters Unspecified): World Military Forum-Latest Military News. Retrieved 2010 (http://www.armybase.us/2009/10/cambodia-gives-big-boost-to-military-budget/)</ref> Since August of 2008 both Thailand and Cambodia have been stationing troops on their respective borders next to the temple.<ref>(Author Unspecified). 2008. "Cambodia, one of Asia's poorest countries, doubles military spending." Rome, Italy: Asia News.it. Retrieved 2010 (http://www.asianews.it/news-en/Cambodia,-one-of-Asia%27s-poorest-countries,-doubles-military-spending-13613.html)</ref> ==Governance== [[File:Flag of Cambodia (1992–1993).svg|thumb|left| '''Flag of Cambodia under UNTAC''' UNTAC's involvement in the supervision of the 1993 elections involved marking the "right hand index fingers of all voters" with an "invisible" ink. This would allow UNTAC personnel to scan every new voter's finger with an ultraviolet light to make sure that they had not previously cast a ballot.<ref>United Nations. 2009. "News & Media Photo: Cambodia Election Held under Supervision of UNTAC." New York, New York: United Nations Trans-National Authority in Cambodia. Retrieved 2010 (http://www.unmultimedia.org/photo/detail.jsp?id=653/65379&key=11&query=organization:UNTAC%20AND%20category:%22Field%20coverage%22&sf=)</ref>.]]Up until 1988, Cambodia was caught in a perpetual state of violence and suffered from a deficiency of democracy. Internal factions were engaged in armed conflict and the Vietnamese continued to occupy with no end of hostilities in sight.<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> In 1988 the basic framework of a settlement was established by the U.N. Secretary General.<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> The parameters for a reconciliation agreement were presented by special U.N. envoys to various political parties and members of the Cambodian government; an attempt to forge stability through compromise.<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> Soon afterward for the first time these divergent factions met in face-to-face negotiations in Jakarta, Indonesia.<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> By the next year (1989) the Vietnamese had agreed to begin unilaterally withdrawing their troops and in September of that year full withdrawal was complete.<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> In August of 1990, an agreement was accepted by the Cambodian Parties and instituted with the backing of "Australia, Brunei Darussalam, Cambodia, Canada, the People's Republic of China, the French Republic, the Republic of India, the Republic of Indonesia, Japan, the Lao People's Democratic Republic, Malaysia, the Republic of the Philippines, the Republic of Singapore, the Kingdom of Thailand, the Union of Soviet Socialist Republics, the United Kingdom of Great Britain and Northern Ireland, the United States of America, the Socialist Republic of Viet Nam and the Socialist Federal Republic of Yugoslavia".<ref>Dumas, Ronald; Alatas, Ali. Paris Conference on Cambodia. 1989-1991. "Key texts and agreements with commentary" ''Agreement on a Comprehensive Political Settlement on the Cambodia Conflict, 1991''. London, UK: Conciliation Resources Retrieved 2010 (http://www.c-r.org/our-work/accord/cambodia/comprehensive-political-settlement.php)</ref> Under the general framework of the agreement the ''Supreme National Council of Cambodia'' was endorsed as the legitimate Cambodian authority and was thus recognized as such along with the parameters for peace set by the Paris Peace Accords and was "unanimously endorsed by Security Council resolution 668 (1990) of 20 September 1990 and General Assembly resolution 45/3 of 15 October 1990".<ref>Dumas, Ronald; Alatas, Ali. Paris Conference on Cambodia. 1989-1991. "Key texts and agreements with commentary" ''Agreement on a Comprehensive Political Settlement on the Cambodia Conflict, 1991''. London, UK: Conciliation Resources Retrieved 2010 (http://www.c-r.org/our-work/accord/cambodia/comprehensive-political-settlement.php)</ref> [[File:Norodom king of Cambodia.jpg|thumb|400px| '''Norodom Sihamoni: King of Cambodia''' A former ballet dancer and ambassador to UNESCO, the fifty-one year old has studied abroad in Czechoslovakia and North Korea. While abroad in 1975 the Khmer Rouge took power and placed the entire royal family under house arrest, allegedly forging Sihamoni's father's (King Sihanouk) signature on a letter sent to the Prince in order to bring him back to the country. Unfortunatley this worked and Sihamoni returned, it was thought, at his father's behest. Although the present King of Cambodia survived the ordeal, the Khmer Rouge stole the lives of five out of fourteen of his brothers and sisters. It is cited that his appointment was secured at the discretion of Hun Sen.<ref>(Author Unspecified). 2004. "Profile: King Sihamoni." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/3740282.stm)</ref>]] The Supreme National Council elected Prince Norodom Sihanouk as it's president in Beijing, China on the 17th of July, 1991.<ref>Dumas, Ronald; Alatas, Ali. Paris Conference on Cambodia. 1989-1991. "Key texts and agreements with commentary" ''Agreement on a Comprehensive Political Settlement on the Cambodia Conflict, 1991''. London, UK: Conciliation Resources Retrieved 2010 (http://www.c-r.org/our-work/accord/cambodia/comprehensive-political-settlement.php)</ref> Under the ''Agreement on a Comprehensive Political Settlement on the Cambodia Conflict'', signed in Paris on 23 October 1991, was constructed a transitional authority known as the ''United Nations Transitional Authority in Cambodia'' (UNTAC); a United Nations contingent with the responsibility of the implementing the terms of the peace accords.<ref>United Nations. 2003. "Cambodia-UNTAC." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://wwwupdate.un.org/en/peacekeeping/missions/past/untac.htm)</ref><ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> UNTAC carried out such tasks ranging from the supervision of elections, training Cambodian personnel in techniques and procedures for deactivating mines, enforcing cease-fire agreements, conducting cantonment ceremonies where factions including the Khmer People National Liberation Armed Forces as well as the Khmer Rouge turned over their arsenals, administrating hospitals, and repatriating refugees.<ref>United Nations. 2009. "News & Media Photo: United Nations Transitional Authority in Cambodia." New York, New York: United Nations Trans-National Authority in Cambodia. Retrieved 2010 (http://www.unmultimedia.org/photo/detail.jsp?id=181/181123&key=0&query=organization:UNTAC AND category:"Field coverage"&sf=)</ref> Under the terms and conditions of the Peace Accords and political settlement, the transitional authority would only withdraw "when the constituent assembly elected through free and fair elections, organized and certified by the United Nations, has approved the constitution and transformed itself into a legislative assembly, and thereafter a new government has been created".<ref>Dumas, Ronald; Alatas, Ali. Paris Conference on Cambodia. 1989-1991. "Key texts and agreements with commentary" ''Agreement on a Comprehensive Political Settlement on the Cambodia Conflict, 1991''. London, UK: Conciliation Resources Retrieved 2010 (http://www.c-r.org/our-work/accord/cambodia/comprehensive-political-settlement.php)</ref> [[File:Nationalassembly pp.jpg|thumb|left|350px| '''The Cambodian National Assembly''' In December of 2009 the Cambodian National Assembly passed a law "guaranteeing to withdraw legal ownership of land and other immovable properties with providing appropriate price and justice for local people". Violation of the expropriation law would subject anyone "disturbing the process of expropriation can be sentenced from one month to one year imprisonment and be fined 25 U.S. dollars to 500 U.S. dollars". The law undoubtedly is meant to facilitate the government's "land grabbing" scheme, as it is widely cited that "Many powerful and rich people have abused their power and position and are known to have been involved in land-grabbing", and "According to one NGO, at least 5,585 families in 2007 were evicted, and nearly 150 people were arrested, one-third of whom are still in prison in 2008". Mrs. Sochua, the Cambodian MP who is now facing fines and jail time, is an advocate of those being affected by this policy and was involved in a scuffle in the district of Kampot Province with soldiers attempting to expropriate land from peasants. This incident eventually led to her criticizing the Prime Minister, Hun Sen, and then filing suit against him for defamation.<ref>Redfern, Katrin. 2009. "Vibrant Cambodian Women's Leader Aims to Turn the Tide on Corruption." New York, New York: the NEW York City Independent Media Center. Retrieved 2010 (http://nyc.indymedia.org/en/2009/04/104739.html)</ref><ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref>]] While administrating in Cambodia UNTAC acted under the "direct responsibility" of the U.N. Secretary General who elected a Special Representative, Yasushi Akashi, to carry out direct oversight of mission activity.<ref>Dumas, Ronald; Alatas, Ali. Paris Conference on Cambodia. 1989-1991. "Key texts and agreements with commentary" ''Agreement on a Comprehensive Political Settlement on the Cambodia Conflict, 1991''. London, UK: Conciliation Resources Retrieved 2010 (http://www.c-r.org/our-work/accord/cambodia/comprehensive-political-settlement.php)</ref><ref>United Nations. 2009. "News & Media Photo: United Nations Transitional Authority in Cambodia (UNTAC)." New York, New York: United Nations Trans-National Authority in Cambodia. Retrieved 2010 (http://www.unmultimedia.org/photo/detail.jsp?id=126/126920&key=4&query=organization:UNTAC&sf=)</ref> UNTAC's authority covered extensive sectors of Cambodian government including the complete takeover of departments such as "foreign affairs, defense, security, finance and communications".<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> Official U.N. deployment began on 15 March, 1992 and lasted until the first national election took place in May of 1993 with 4.2 million people (approximately 90% of the country) participating in what UNTAC described as "free and fair" elections".<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> At the height of their activity the organization had some "21,000 military and civilian personnel" deployed "from more than 100 countries" comprised of "human rights, civil administrative and military components, as well as a police component of some 3,600 police monitors".<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> UNTAC oversaw not only the elections but the registration of voters and promotion of voter education within most Cambodian provinces (not including those remote areas controlled by the PDK).<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref><ref>United Nations. 2009. "News & Media Photo: United Nations Transitional Authority in Cambodia (UNTAC)." New York, New York: United Nations Trans-National Authority in Cambodia. Retrieved 2010 (http://www.unmultimedia.org/photo/detail.jsp?id=126/126920&key=4&query=organization:UNTAC&sf=)</ref><ref>Inter-Parliamentary Union. 1993. "Cambodia Parliamentary Chamber: Constituent Assembly." Geneva, Switzerland: Inter-Parliamentary Union. Retrieved 2010 (http://www.ipu.org/parline-e/reports/arc/2051_93.htm)</ref> Although UNTAC officially withdrew after the elections, small contingencies of United Nations agencies remained as well as a Special Representative for Human Rights (appointed by the Secretary General) to continue to lend aid in the reconstruction effort.<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> The 1993 elections brought together twenty political parties who registered to participate, including the Cambodian Peoples' Party (CPP) led by Hun Sen (who has been Prime Minister since the mid 1980s), the royalist Front uni national pour un Cambodge indépendant, neutre, pacifique et coopératif (FUNCINPEC), and the Buddhist Liberal Democratic Party (BLDP).<ref>Inter-Parliamentary Union. 1993. "Cambodia Parliamentary Chamber: Constituent Assembly." Geneva, Switzerland: Inter-Parliamentary Union. Retrieved 2010 (http://www.ipu.org/parline-e/reports/arc/2051_93.htm)</ref><ref>(Author Unspecified). 2004. "Profile: Hun Sen." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/3740282.stm) (http://news.bbc.co.uk/2/hi/asia-pacific/138761.stm)</ref> Due to the Party Democratic Kampuchea's (PDK, a.k.a. the Khmer Rouge) vow to boycott and disrupt the electoral process, violence ensued in various provinces before and during the elections (although some "1,500 rallies" carried out by some "800,000" non-PDK Cambodian citizens were all non-violent).<ref>Inter-Parliamentary Union. 1993. "Cambodia Parliamentary Chamber: Constituent Assembly." Geneva, Switzerland: Inter-Parliamentary Union. Retrieved 2010 (http://www.ipu.org/parline-e/reports/arc/2051_93.htm)</ref> FUNCINPEC came out as the front runner with "45% of the valid votes cast" with the CCP coming in at second with "over 38%".<ref>Inter-Parliamentary Union. 1993. "Cambodia Parliamentary Chamber: Constituent Assembly." Geneva, Switzerland: Inter-Parliamentary Union. Retrieved 2010 (http://www.ipu.org/parline-e/reports/arc/2051_93.htm)</ref> The electoral process was again disturbed, this time by the CPP who, upon losing a parliamentary majority, sought to form a break-away state comprised mainly of Cambodia's eastern provinces.<ref>Inter-Parliamentary Union. 1993. "Cambodia Parliamentary Chamber: Constituent Assembly." Geneva, Switzerland: Inter-Parliamentary Union. Retrieved 2010 (http://www.ipu.org/parline-e/reports/arc/2051_93.htm)</ref> However, the internal revolt was put down resulting in certain CPP members losing their seats.<ref>Inter-Parliamentary Union. 1993. "Cambodia Parliamentary Chamber: Constituent Assembly." Geneva, Switzerland: Inter-Parliamentary Union. Retrieved 2010 (http://www.ipu.org/parline-e/reports/arc/2051_93.htm)</ref> The Constitution of Cambodia emanating from the "U.N.-organized constituent election in 1993" is the framework for the Cambodian government and structures the country as a constitutional monarchy with the King acting as a symbolic Head of State.<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref><ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/</ref>)</ref> The Prime Minister is selected by the King who must first secure a vote of confidence in the Assembly if the PM's election is to be approved.<ref>Encyclopedia of the Nations. 2011. "Cambodia - Politics, government, and taxation." Illinois, United States: Advameg, Inc. Retrieved 2010 (http://www.nationsencyclopedia.com/economies/Asia-and-the-Pacific/Cambodia-POLITICS-GOVERNMENT-AND-TAXATION.html)</ref> Once selected by the King and approved by the Assembly, the Prime Minister serves as the head of the Royal Government of Cambodia in the form of the Council of Ministers.<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> [[File:Hun Sen.jpg|thumb|left| '''Prime Minister Hun Sen''' Hun Sen stands as a living testament (and the current Prime Minister) to the corruption and cronyism that exemplifies the Cambodian political system. During the 1993 election Hun Sen's Cambodian People's Party moved to subvert election results even before the votes were fully tallied. It is reported, "FUNCINPEC party won the election handsomely with 45.3% of the votes compared to Hun Sen's Cambodian People's Party (CPP), 38.7%. They did so in spite of a campaign of confiscations, arson, bombing and murder committed by Hun Sen's supporters". Although a coalition government was set up with a co-prime minister position constructed to accommodate the CPP, in 1997 Hun Sen and his supporters orchestrated a coup which garnered them effective control of the Cambodian government.<ref>Knight, Alan. 1997. "Hun Sen and Democracy." Phnom Penh, Cambodia: Mekong.Net Retrieved 2010 (http://www.mekong.net/cambodia/sen_demc.htm</ref>)]] The Council of Ministers acts as the PM's cabinet with appointments requiring the approval of the King.<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> Furthermore, the King must appoint a dignitary from among the members of the winning party to serve on the Council along with "Deputy Prime Ministers", "State Ministers, Ministers, and State Secretaries" assisting the PM.<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> The Cambodian Parliament is a bicameral body consisting of the "National Assembly (122 seats) and a Senate (61 seats). The members of both bodies serve 5-year terms".<ref>Encyclopedia of the Nations. 2011. "Cambodia - Politics, government, and taxation." Illinois, United States: Advameg, Inc. Retrieved 2010 (http://www.nationsencyclopedia.com/economies/Asia-and-the-Pacific/Cambodia-POLITICS-GOVERNMENT-AND-TAXATION.html)</ref><ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> Assembly and Senate sessions last for three months at a time and must hold ordinary sessions no less than twice a year.<ref>Encyclopedia of the Nations. 2011. "Cambodia - Politics, government, and taxation." Illinois, United States: Advameg, Inc. Retrieved 2010 (http://www.nationsencyclopedia.com/economies/Asia-and-the-Pacific/Cambodia-POLITICS-GOVERNMENT-AND-TAXATION.html)</ref> Cambodia is "divided into 20 provinces (khett) and 4 municipalities (krong)" with "171 rural districts (srok)" falling under the authority of the provinces and "14 urban districts (khan)" falling under them.<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> Governors are appointed by the PM and control provincial and municipal sectors administratively organized into National Line Ministries, with District Administrators in control of rural and urban districts and appointed by the Minister of the Interior with recommendation from Provincial Governors.<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> At the lowest level of jurisdiction are 1,621 "administrative jurisdictions, including 1,510 rural communes (khum) and 111 urban neighborhoods (sangkat)" with local chiefs (appointed by the Provincial Governor) who serve as "a liaison between local communities and the state administration". However, with extreme fluctuations in population of these smaller jurisdictions (ranging in size "from 100 to 45,000 people") questions are raised as to the specific functions, requirements, purpose and ability of these bodies with varying capacities and capabilities.<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> For the first time in 2008 these bodies actually held elections to select the membership and composition of commune leadership.<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> The fiscal policy relating to these communes is at times ambiguous seeing that these local bodies are still in developing stages. For instance, although they are given the right to collect "direct revenues from local taxes, service fees and other charges" from the population with the government allocating "transfers from a share of national revenue", communes are still held responsible under law for their "own financial resources, budget and assets".<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> However, it is completely clear that any and all administrative tasks carried out by communes on behalf of and/or for the benefit of the national government will in turn be compensated, as well as the Ministry of Economy and Finance (MOEF) bearing responsibility for commune fiscal oversight in relation to assets appropriated by the national government.<ref>United Nations. 2011. "Fiscal Decentralization Support Project – FDSP (A Component of the Decentralization Support Program – DSP)" ''Royal Government Of Cambodia United Nations Capital Development Fund Project Document, 2004'' New York, New York; Phnom Penh, Cambodia: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/countries/cambodia/index.php) (http://www.uncdf.org/english/local_development/uploads/project/KHM_FDSP_PRODOC_04_EN.pdf)</ref> [[File:Elections 40365 02072008.jpg|thumb|400px| '''Sam Rainsy Party Campaign Vehicle''' Once a European Representative for Prince Ranariddh's FUNCINPEC party and later a member of the Cambodian Parliament, he was stripped of his seat in 1994 and now heads the Cambodian opposition party, the Sam Rainsy Party. In 2003 the party won 22% of the vote in light of violence directed at party heads, most notably Sam Rainsy (including grenade attacks). As of 2010 the government of Cambodia issued an arrest warrant for Mr. Rainsy for uprooting "markers on the frontier with Vietnam in October 2009" which Mr. Rainsy has claimed were encroaching upon Cambodian territory (Vietnam being a "growing investor in Cambodia").<ref>(Author Unspecified). 2010. "Cambodia issues Sam Rainsy arrest warrant ." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/8436851.stm)</ref><ref>(Author Unspecified). 2005. "Profile: Sam Rainsy." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/138764.stm)</ref>)]] These communes represent more localized and decentralized (and thus, some may say, more directly democratic) political representation within the Cambodian governmental and political structure. But although Cambodia has made strides in representation of citizens in the political process, stability in government, and a move away from genocide and outright warfare, the country and its citizens still suffer from a political establishment with a propensity for corruption, murder, and dissident suppression.<ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref><ref>(Author Unspecified). 2004. "Profile: Hun Sen." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/138761.stm)</ref> The current Prime Minister Hun Sen, who has held his post for over twenty years, is a former member of the Khmer Rouge and long time establishment figure.<ref>(Author Unspecified). 2004. "Profile: Hun Sen." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/138761.stm)</ref> In 1993 Sun's party, the CPP, was forced to form a coalition government with FUNCINPEC upon lacking a clear majority in parliamentary elections. In 1997 Sun and his supporters wrestled control from his "co-prime minister in a bloody coup", ousting FUNCINPEC leader Prince Ranariddh.<ref>(Author Unspecified). 2004. "Profile: Hun Sen." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/138761.stm)</ref> Currently Sun and the CPP are rumored to maintain effective control of the majority of state institutions, including "he king, the Constitutional Council, the National Assembly and the judiciary".<ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref> Under the circumstances political dissidents within and outside of the establishment suffer at the hands of ruing elites. Chea Vichea, an "influential Cambodian trade-union leader who fought for increased wages and improved working conditions" was killed on the morning of 22 January, 2004.<ref>Child, Ben. 2010. "Cambodian government suppressing film about murder, says director." Manchester, UK: The Guardian. Retrieved 2010 (http://www.guardian.co.uk/film/2010/jun/09/film-cambodia-who-killed-chea-vichea)</ref> With the two men charged and sentenced for the murder being released from jail by the Cambodian Supreme Court and a documentary on the political figure and his murder being banned from screening within Cambodia, blame seems to reside with the government.<ref>Child, Ben. 2010. "Cambodian government suppressing film about murder, says director." Manchester, UK: The Guardian. Retrieved 2010 (http://www.guardian.co.uk/film/2010/jun/09/film-cambodia-who-killed-chea-vichea)</ref> In addition to the suppression of labor organizers, political parties are also suspect to targeting by government authorities. The Sam Rainsy party is a political organization within Cambodia that has taken a line against the establishment under the leadership of Sam Rainsy, a noted opposition leader within the Parliament.<ref>Human Rights Watch. 2010. "Cambodia: Rainsy Sentence Shatters Pretense of Democracy." New York, New York: Human Rights Watch. Retrieved 2010 (http://www.hrw.org/en/news/2010/09/24/cambodia-rainsy-sentence-shatters-pretense-democracy)</ref> Rainsy was convicted in September of 2010 of "spreading disinformation and falsifying maps".<ref>Human Rights Watch. 2010. "Cambodia: Rainsy Sentence Shatters Pretense of Democracy." New York, New York: Human Rights Watch. Retrieved 2010 (http://www.hrw.org/en/news/2010/09/24/cambodia-rainsy-sentence-shatters-pretense-democracy)</ref> Rainsy's trial was closed to the public and was missing Rainsy's presence due to his "self-imposed exile".<ref>Human Rights Watch. 2010. "Cambodia: Rainsy Sentence Shatters Pretense of Democracy." New York, New York: Human Rights Watch. Retrieved 2010 (http://www.hrw.org/en/news/2010/09/24/cambodia-rainsy-sentence-shatters-pretense-democracy)</ref> Although Mr. Rainsy does not currently reside in Cambodia upon his return he will face immediate imprisonment if he returns.<ref>Human Rights Watch. 2010. "Cambodia: Rainsy Sentence Shatters Pretense of Democracy." New York, New York: Human Rights Watch. Retrieved 2010 (http://www.hrw.org/en/news/2010/09/24/cambodia-rainsy-sentence-shatters-pretense-democracy)</ref> Human Rights Watch has stated that the trial and its verdict (along with various assassination attempts upon Mr. Rainsy's life) have shattered "even the pretense of democracy" in Cambodia.<ref>Human Rights Watch. 2010. "Cambodia: Rainsy Sentence Shatters Pretense of Democracy." New York, New York: Human Rights Watch. Retrieved 2010 (http://www.hrw.org/en/news/2010/09/24/cambodia-rainsy-sentence-shatters-pretense-democracy)</ref> It is hard to predict where the government of Cambodia is heading next if these nefarious activities continue to be carried out by the government. The United States Senate proposed a bill in 2003 that would "grant Cambodia a further $21.5m in aid if Hun Sen was not re-elected" and Human Rights Watch urged multiple international governments that provide assistance to Cambodia ("Donors contribute approximately 50 percent of the Cambodian government's budget") to "take strong diplomatic action in response to the sentence against Rainsy, including recalling their ambassadors to demonstrate their outrage".<ref>Human Rights Watch. 2010. "Cambodia: Rainsy Sentence Shatters Pretense of Democracy." New York, New York: Human Rights Watch. Retrieved 2010 (http://www.hrw.org/en/news/2010/09/24/cambodia-rainsy-sentence-shatters-pretense-democracy)</ref> ===Elections=== The Next elections in Cambodia are the parliamentary elections scheduled for July, 2013.<ref>Consortium for Elections and Political Process Strengthening (CEPPS). 2010. "Country Profile: Cambodia." Washington, DC: Consortium for Elections and Political Process Strengthening (CEPPS). Retrieved May 1, 2011 (http://www.electionguide.org/country.php?ID=37)</ref>. Unsurprisingly, Hun Sen's party, the CPP, won approximately ninety seats in the National Assembly last election (July, 2008) while the opposition won a cumulative thirty-three seats.<ref>Consortium for Elections and Political Process Strengthening (CEPPS). 2010. "Country Profile: Cambodia." Washington, DC: Consortium for Elections and Political Process Strengthening (CEPPS). Retrieved May 1, 2011 (http://www.electionguide.org/country.php?ID=37)</ref> Cambodia has a bicameral legislature, with Senate members being elected directly and indirectly by the National Assembly and by the country's monarch for five year terms.<ref>Consortium for Elections and Political Process Strengthening (CEPPS). 2010. "Country Profile: Cambodia." Washington, DC: Consortium for Elections and Political Process Strengthening (CEPPS). Retrieved May 1, 2011 (http://www.electionguide.org/country.php?ID=37)</ref> The Sam Rainsy Party, led by Sam Rainsy, won the most National Assembly seats with twenty-six members elected to the legislature with FUNCINPEC, led by Keo Puth Ramsey, winning two seats and the Norodom Ranariddh Party (NRP), formerly led by Norodom Ranariddh before his ousting in 2006, winning two seats.<ref>Consortium for Elections and Political Process Strengthening (CEPPS). 2010. "Country Profile: Cambodia." Washington, DC: Consortium for Elections and Political Process Strengthening (CEPPS). Retrieved May 1, 2011 (http://www.electionguide.org/country.php?ID=37)</ref> The sad state of Cambodian democracy may be indicated by the newest registered Cambodian political party, interestingly named the Human Rights Party (HRP) and led by Kem Sokha.<ref>Consortium for Elections and Political Process Strengthening (CEPPS). 2010. "Country Profile: Cambodia." Washington, DC: Consortium for Elections and Political Process Strengthening (CEPPS). Retrieved May 1, 2011 (http://www.electionguide.org/country.php?ID=37)</ref> The 2008 elections were reported by the Committee for Free and Fair Elections in Cambodia (COMFREL) to take place under conditions sufficient to produce "a general environment of fear" and were subject to the CPP flexing its muscle, afforded by control of the state, in a manner to influence election outcomes through unfair advantage.<ref>Committee for Free and Fair Elections in Cambodia. 2008. "The Committee for Free and Fair Elections in Cambodia, 2008 National Assembly Elections: Final Assessment and Report." Phnom Penh, Cambodia: The Committee for Free and Fair Elections in Cambodia. Retrieved May 1, 2011 (http://aceproject.org/ero-en/regions/asia/KH/Cambodia-Final-Assessment-and-Report-on-the-2008-1/view)</ref> The CPP was reportedly utilizing government vehicles as campaign advertisements next to polling stations.<ref>Committee for Free and Fair Elections in Cambodia. 2008. "The Committee for Free and Fair Elections in Cambodia, 2008 National Assembly Elections: Final Assessment and Report." Phnom Penh, Cambodia: The Committee for Free and Fair Elections in Cambodia. Retrieved May 1, 2011 (http://aceproject.org/ero-en/regions/asia/KH/Cambodia-Final-Assessment-and-Report-on-the-2008-1/view)</ref> The COMFREL also noted that there was an increase in the number of voters who faced "obstructions" to voting as well as an increase in the number of irregularities regarding the issuing of voting forms.<ref>Committee for Free and Fair Elections in Cambodia. 2008. "The Committee for Free and Fair Elections in Cambodia, 2008 National Assembly Elections: Final Assessment and Report." Phnom Penh, Cambodia: The Committee for Free and Fair Elections in Cambodia. Retrieved May 1, 2011 (http://aceproject.org/ero-en/regions/asia/KH/Cambodia-Final-Assessment-and-Report-on-the-2008-1/view)</ref> These patterns of CPP interference into the electoral process and widespread irregularities are, some might say, institutionalized within the ruling party; not four years after the official establishment of Cambodian democracy the CPP moved to subvert it. The 1998 elections were fraught with claims of fraud with at least 300 complaints being filed; the Sam Rainsy Party "alleged that more than 45,000 blank ballot papers had gone missing before the election in two provinces, citing documents from the NEC and the provincial election committees."<ref>(Author Unspecified). 1998. "World: Asia-Pacific Hun Sen wins Cambodia election." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved May 1, 2011 (http://news.bbc.co.uk/2/hi/asia-pacific/145702.stm)</ref> Seeing as how the CPP and Hun Sen had wrestled control from Prince Ranariddh and FUNCINPEC in a "violent takeover in July 1997" it appears obvious that they are now able to resort to simple electoral fraud rather than bloody coups to secure their power.<ref>(Author Unspecified). 1998. "World: Asia-Pacific Hun Sen wins Cambodia election." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved May 1, 2011 (http://news.bbc.co.uk/2/hi/asia-pacific/145702.stm)</ref> When opposition parties declared that they demanded investigations into the alleged fraud otherwise they would refuse to lend the necessary support in the National Assembly the CPP needed to secure 2/3rds of seats to form a constitutionally approved government, Hun Sen and his party declared that they would move ahead regardless.<ref>(Author Unspecified). 1998. "World: Asia-Pacific Hun Sen wins Cambodia election." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved May 1, 2011 (http://news.bbc.co.uk/2/hi/asia-pacific/145702.stm)</ref> ===Judicial Review=== [[File:Cambodia school.jpg|left|thumbnail|350px| '''We, the people of Cambodia...''' The composition of the Cambodian constitution bears a resemblance to the American constitution. The preamble begins: "We the people of Cambodia", and goes on to enumerate various grievances trespassed against the country as well as the inherent rights of its citizens and structure of its government; sovereignty, the status of the king, education, culture, social affairs, etc. Some judicial powers constitutionally designated in the constitution follow as such: "Article 109- The Judicial power shall be an independent power. The Judiciary shall guarantee and uphold impartiality and protect the rights and freedoms of the citizens. The Judiciary shall cover all lawsuits including administrative ones. The authority of the Judiciary shall be granted to the Supreme Court and to lower courts of all sectors and levels. Article 110- Trials shall be conducted in the name of the Khmer citizens in accordance with the legal procedures and laws in force. Only judges shall have the right to adjudicate. A judge shall fulfill this duty with strict respect for the laws. wholeheartedly, and conscientiously."<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref>]] Due to Cambodia's history of colonization at the hands of the French, their judicial and legal system is generally influenced by French civil code as well as United Nations declarations and charters.<ref>Central Intelligence Agency. 2010. "East and South East Asia: Cambodia." Langley, Virgina: CIA World Factbook. Retrieved 2010 (https://www.cia.gov/library/publications/the-world-factbook/geos/cb.html)</ref> In light of gross human rights violations in an atmosphere of warfare, genocide, and occupation, the Universal Declaration of Human Rights (UDHR) as well as the International Covenant on Civil and Political Rights (ICCPR) were incorporated into the Cambodian constitution and thus became applicable to Cambodian national law.<ref>The Khmer Institute of Democracy. 2010. "The Judicial System of Cambodia." Phnom Penh, Cambodia: Khmer Institute of Democracy. Retrieved 2010 (http://www.khmerrough.com/pdf/CriticalThinking-Eng/Part1-CriticalThinking.pdf)</ref> The Cambodian constitution was adopted on September 21, 1993 under the auspices of the United Nations Transitional Authority in Cambodia (UNTAC).<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> The constitution outlines the power vested within the judiciary and states that it's power shall be a separate and autonomous entity free of encroachment from either the executive or the legislative branches of government.<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> The Cambodian judiciary is safeguarded by the King who is constitutionally imparted with the responsibility of upholding and guaranteeing "the independence of the Judiciary" with the help of the Supreme Council of the Magistracy (a.k.a. the Supreme Council of Magistrates).<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> By Royal Decree the S.C.M. (Supreme Council of the Magistracy) is composed of the King, the President, the Minister of Justice, the President of the Supreme Court, the Prosecutor of the Supreme Court (General of the Supreme Court), the President of the Appellate Court, the Prosecutor of the Appellate Court, three judges (elected by judges), and three alternate judges (also elected by judges as members whom replace absent members).<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> All judges in Cambodia are appointed and disciplined by the Supreme Council of Magistracy.<ref>Encyclopedia of the Nations. 2011. "Cambodia - Judicial System." Illinois, United States: Advameg, Inc. Retrieved 2010 (http://www.nationsencyclopedia.com/Asia-and-Oceania/Cambodia-JUDICIAL-SYSTEM.html)</ref> The SCM "has the duty to 'decide and propose to the king the appointment, transfer, secondment, leave of absence, delineation of duties and dismissal of judges and prosecutors' (Art. 11 Law on SCM)" and in the process "ensure the smooth functioning of the judiciary".<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> All proposed law and draft law (proposed laws written by the National Assembly and draft law by other government branches) regarding the judiciary must be reviewed by the Ministry of Justice as well as the S.C.M, although there is a question as to whether or not suggestions made by the S.C.M. are mandates or simply recommendations to be taken into consideration.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> With the approval of the S.C.M appointed judges can potentially secure positions within various branches of the judiciary including the Municipal and Provincial Court (jurisdiction of first instance), the Appellate Court (court of appeals), the Supreme Court, the Ministry of Justice, the Department of General Prosecution, as well as the Military Court.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Ministry of Justice oversees all matters applying to "civil, criminal, administrative and commercial matters", inspects prison conditions in relation to sentences handed down, provides guidance in consideration to judgments where the law is unclear, regulates the consistency of judicial provisions set forth through legislation, and maintains criminal records.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Department of General Prosecution is subdivided into three separate offices: the Office of Investigation and Supervision of Investigation, the Criminal Office, and the Civil Office.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> It coordinates investigative procedure of the police as well as oversees the various responsibilities of the Prosecutor General.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Court of the First Instance is the lowest court where cases are first heard and is divided into three departments: the Provincial Court, the Municipal Court, and the Military Court.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> Although there is a noted division within the Provincial and Municipal courts (with a separation between hearings for civil and criminal matters), due to a shortage of judges in reality there is ample collaboration between the two departments.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Military Court has exclusive authority over all instances relating to military matters and military personnel.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> When military personnel commit criminal offenses or obstruct civil code unrelated to military conduct and/or procedure, cases fall under the jurisdiction of the Provincial and Municipal Courts.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Appellate Court is responsible for appeals concerning all courts of the first instance (municipal, provincial and military) for the entire country of Cambodia and there is no criteria for basis of appeals.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> [[File:Mu sochua.jpg|thumb|400px|'''An MP challenges the Prime Minister''' Mrs. Mu Sochua speaks to reporters after a court hearing. The Cambodian parliamentary MP has both directly and indirectly challenged the authority of the Prime Minister by openly suing him in court and then defying court orders (which she claims reflect only the manipulation and influence of the Prime Minister himself) to pay fines imposed, an act with the consequence of jail time.<ref>Chak, Dr. Sakhonn. 2010. "Non-independence of the Cambodian judicial system & Parliamentary Member Mu Sochua’s case." Phnom Penh, Cambodia: KI-Media. Retrieved 2010 (http://ki-media.blogspot.com/2010/07/non-independence-of-cambodian-judicial.html)</ref>]] Unlike the Supreme Court in the United States, the Supreme Court of Cambodia does not retain power of adjudication in regards to the constitutionality of law, rather it functions as the highest possible court of appeals.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> When decisions rendered by the Appellate Court are rejected they are granted the audience of the Supreme Court whose ruling is then relayed to the Appellate Court where another ruling is made.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> If the Appellate Court decides to neglect the recommendations of the Supreme Court then filers have the right to again bring the decision before the Supreme Court where "the SC tries both questions of fact and law" and a final ruling is made.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Supreme Court is separated into two branches: a Civil/Social Chamber and a Penal Chamber.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Penal Chamber's jurisdiction relates only to criminal matters with the Civil and Social Chamber residing over matters relating to "civil disputes, marriage, family and administrative matters and labor and commercial disputes".<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The S.C. lacks the authority to create its own case law and may only serve to enforce any and all legislation already codified.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The S.C. is reported to publish a quarterly review articulating it's rulings in court proceedings with the intent of establishing precedent, however, it is unclear as to whether the rulings set by the S.C. will in any way become applicable to future decisions.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> Within court proceedings themselves lawyers, clerks and judges are those responsible with the task of carrying out administrative functions. There is a distinction between standing and sitting judges, with a sitting judge actively involved in cases and standing judges those holding positions within the prosecution department.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> Clerks act as secretaries to judges performing administrative tasks necessary for cases to be heard.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The legal profession is regulated by the Cambodian Bar Association which was established in October of 1995 and defines the profession as being " 'an autonomous profession involved in serving justice and may be only pursued within the framework of the Bar Association', which is an 'organization bringing together all lawyers who establish offices in the Kingdom of Cambodia' ".<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> Lawyers must submit applications to the Bar Association and then be accepted as full time members in order to practice law.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> Those who are rejected may relate their case to the Appellate Court.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> Khmer citizens are guaranteed a multitude of rights by a constitution perhaps even more inclusive and expansive than that of the United States, incorporating all human rights stipulated within the United Nations Charter and explicitly mentioning the freedom and status of women and children as well as protecting against discrimination directed at citizens on the basis of "race, color, sex, language, religious belief, political tendency, birth origin, social status, wealth or other status".<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> Any and all citizens with charges brought against them are guaranteed a presumption of innocence.<ref>Encyclopedia of the Nations. 2011. "Cambodia - Politics, government, and taxation." Illinois, United States: Advameg, Inc. Retrieved 2010 (http://www.nationsencyclopedia.com/Asia-and-Oceania/Cambodia-JUDICIAL-SYSTEM.html)</ref> The rights and provisions set forth by the constitution are in turn protected by the Constitutional Council as outlined by the constitution itself.<ref>Encyclopedia of the Nations. 2011. "Cambodia - Politics, government, and taxation." Illinois, United States: Advameg, Inc. Retrieved 2010 (http://www.nationsencyclopedia.com/Asia-and-Oceania/Cambodia-JUDICIAL-SYSTEM.html)</ref> The formation of the Constitutional Council is dependent on the Supreme Council of the Magistracy which is responsible for the appointments of three judges to council seats.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> The Constitutional Council does not adjudicate on any issues besides those of the constitutionality of laws and/or issues concerning election rights.<ref>Neam, Koy. 1998. "The Cambodian Judicial System." Washington, DC: The Asia Foundation. Retrieved 2010 (http://ebookbrowse.com/the-cambodian-judicial-process-pdf-d78821189)</ref> [[File:Kang_Kek_Iew_(Kaing_Guek_Eav_or_Duch)_before_the_Extraordinary_Chambers_in_the_Courts_of_Cambodia_-_20091126.jpg|thumb|left| '''Kaing Guek Eav, 67, a.k.a. 'Comrade Duch'''' Case 001 tried Mr. Eav who controlled S-21, or Tuol Sleng prison. He was convicted of murdering 12,000 people. Collectively the Khmer Rouge is held responsible for the murder of approximately 1/3 of Cambodia's former population.<ref>MacLeod, Calum. "In Cambodia, 'history cannot be hidden': But few have faith in trials for Khmer Rouge." USA Today 15 September 2010. 1A-2A. Print.</ref>]] Although in theory the Cambodian judiciary system is free from political manipulation and reserves free and fair trials for all citizens, Cambodia has only recently embraced these institutional implementations and still suffers from a lack of independence within the judiciary. It is widely stated that the Prime Minister, Hun Sen, for all intents and purposes controls various branches of government and personnel operating within including professional lawyers and members of the judiciary.<ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref> Hun Sen has great influence over the ruling Cambodian political party, the Cambodian People's Party (CPP), a former Communist entity that has garnered criticism over their propensity for cronyism and nebulous connections to the elite business community.<ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref> Politically motivated killings, imprisonments, legal actions, and massacres are common occurrences carried out by centers of authority and undermine the efficacy and independence of the judiciary.<ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref> As of July 14, 2010, U.N. members states made "91 Recommendations" in relation to the respect of human rights unobserved by the Cambodian court system.<ref>Chak, Dr. Sakhonn. 2010. "Non-independence of the Cambodian judicial system & Parliamentary Member Mu Sochua’s case." Phnom Penh, Cambodia: KI-Media. Retrieved 2010 (http://ki-media.blogspot.com/2010/07/non-independence-of-cambodian-judicial.html)</ref> Under the Cambodian Universal Periodic Review (UPR) the Human Rights Council in Geneva made these recommendations partly in light of charges brought against Mrs. Mu Sochua, an MP of the Cambodian Parliament and outspoken critic of the Prime Minister.<ref>Chak, Dr. Sakhonn. 2010. "Non-independence of the Cambodian judicial system & Parliamentary Member Mu Sochua’s case." Phnom Penh, Cambodia: KI-Media. Retrieved 2010 (http://ki-media.blogspot.com/2010/07/non-independence-of-cambodian-judicial.html)</ref> Cambodia agreed to unconditionally accept all ninety-one recommendations made by the H.R.C., although one must remain circumspect as to whether or not these recommendations will be enforced when realities such as political murder are common occurrences. Mrs. Sochua lost the defamation suit she had filed against Prime Minister Hun Sen who then filed a counter claim against her; without surprise, the Prime Minister won his case.<ref>Socheata. 2010. "Treasury orders Mrs. Mu Sochua to pay her fine." Phnom Penh, Cambodia: KI-Media. Retrieved 2010 (http://ki-media.blogspot.com/2010/06/treasury-orders-mrs-mu-sochua-to-pay.html)</ref> Mrs. Sochua was fined 8.5 million riels with the threat of imprisonment upon non-payment.<ref>Socheata. 2010. "Treasury orders Mrs. Mu Sochua to pay her fine." Phnom Penh, Cambodia: KI-Media. Retrieved 2010 (http://ki-media.blogspot.com/2010/06/treasury-orders-mrs-mu-sochua-to-pay.html)</ref> Mrs. Sochua defied the orders of the court, which she accused of being a corrupt puppet of the Prime Minister, and has yet to be jailed.<ref>Socheata. 2010. "Treasury orders Mrs. Mu Sochua to pay her fine." Phnom Penh, Cambodia: KI-Media. Retrieved 2010 (http://ki-media.blogspot.com/2010/06/treasury-orders-mrs-mu-sochua-to-pay.html)</ref> In early 2009 trials began in Cambodia backed by the United Nations that were aimed at bringing members of the Khmer Rouge to justice more than thirty years after the political party originally came to power.<ref>Mydans, Seth. 2009. "First Khmer Rouge Trial Focuses on Torture House." New York, New York: New York Times. Retrieved 2010 (http://www.nytimes.com/2009/03/31/world/asia/31cambo.html?_r=1&ref=world)</ref> The United Nations Assistance to the Khmer Rouge Trials (UNAKRT) is a division of the United Nations with the express intent of providing "technical assistance" to the Cambodian Courts.<ref>United Nations. 2011. "United Nations Assistance to the Khmer Rouge Trials: UNAKRT Mission and Scope." New York, New York; Phnom Penh, Cambodia: United Nations Assistance to the Khmer Rouge Trials (UNAKRT). Retrieved 2010 (http://www.unakrt-online.org/01_home.htm)</ref> The Extraordinary Chambers in the Courts of Cambodia (ECCC) is the Cambodian domestic court supported by the UNAKRT and is staffed with international personnel provided by the United Nations.<ref>United Nations. 2011. "United Nations Assistance to the Khmer Rouge Trials: UNAKRT Mission and Scope." New York, New York; Phnom Penh, Cambodia: United Nations Assistance to the Khmer Rouge Trials (UNAKRT). Retrieved 2010 (http://www.unakrt-online.org/01_home.htm)</ref> The ECCC will operate within the parameters of Cambodian national law and will be partially "supplemented" by international law (with Cambodian law already being largely influenced by international law).<ref>United Nations. 2011. "United Nations Assistance to the Khmer Rouge Trials: UNAKRT Mission and Scope." New York, New York; Phnom Penh, Cambodia: United Nations Assistance to the Khmer Rouge Trials (UNAKRT). Retrieved 2010 (http://www.unakrt-online.org/01_home.htm)</ref> [[File:Tuol sleng 2002b.jpg|thumb|500px| '''Memories from Tuol Sleng''' This image depicts conditions of internment under the Khmer Rouge. This is only one of many such pictures displayed at the former prison for visitors. Others include methods of information extraction, i.e. torture. Comrade Duch confessed under the ECCC to developing various methods of information extraction for the Khmer Rouge including: cold, hot and chewing. "The cold method employed propaganda without the use of torture or insults. The hot method included 'insults, beatings and other torture authorized by the regulations'. The chewing method consisted, in Duch’s quoted words, of 'gentle explanations in order to establish confidence, followed by prayers to the interrogated person, continually inviting her or him to write' a confession. Another witness told investigators that torture could be used if 'chewing' failed to bring results in two or three days. Some inmates were also subjected to medical experiments, including 'live autopsies' and experimentation with homemade medications, according to Duch’s statements in the indictment."<ref>Mydans, Seth. 2009. "First Khmer Rouge Trial Focuses on Torture House." New York, New York: New York Times. Retrieved 2010 (http://www.nytimes.com/2009/03/31/world/asia/31cambo.html?_r=1&ref=world)</ref>]] The Court consists of a Trial chamber composed of "three Cambodian judges and two international judges" as well as a Supreme Court chamber composed of "four Cambodian judges and three international judges".<ref>United Nations. 2011. "United Nations Assistance to the Khmer Rouge Trials: UNAKRT Mission and Scope." New York, New York; Phnom Penh, Cambodia: United Nations Assistance to the Khmer Rouge Trials (UNAKRT). Retrieved 2010 (http://www.unakrt-online.org/01_home.htm)</ref> The international judges are elected by the Supreme Council of the Magistracy "from a list of not less than seven nominees forwarded by the Secretary-General".<ref>United Nations. 2011. "United Nations Assistance to the Khmer Rouge Trials: UNAKRT Mission and Scope." New York, New York; Phnom Penh, Cambodia: United Nations Assistance to the Khmer Rouge Trials (UNAKRT). Retrieved 2010 (http://www.unakrt-online.org/01_home.htm)</ref> There is also an international prosecutor that will serve as co-prosecutor to his/her domestic counterpart.<ref>United Nations. 2011. "United Nations Assistance to the Khmer Rouge Trials: UNAKRT Mission and Scope." New York, New York; Phnom Penh, Cambodia: United Nations Assistance to the Khmer Rouge Trials (UNAKRT). Retrieved 2010 (http://www.unakrt-online.org/01_home.htm)</ref> The first defendant to be brought before the court was the former commander of Tuol Sleng Prison, Kaing Guek Eav, a.k.a. 'Duch'.<ref>Mydans, Seth. 2009. "First Khmer Rouge Trial Focuses on Torture House." New York, New York: New York Times. Retrieved 2010 (http://www.nytimes.com/2009/03/31/world/asia/31cambo.html?_r=1&ref=world)</ref> Under Duch's command an estimated 14,000 people were murdered at Tuol Sleng.<ref>Mydans, Seth. 2009. "First Khmer Rouge Trial Focuses on Torture House." New York, New York: New York Times. Retrieved 2010 (http://www.nytimes.com/2009/03/31/world/asia/31cambo.html?_r=1&ref=world)</ref> Duch faces murder charges for these deaths along with charges of crimes against humanity and war crimes.<ref>Mydans, Seth. 2009. "First Khmer Rouge Trial Focuses on Torture House." New York, New York: New York Times. Retrieved 2010 (http://www.nytimes.com/2009/03/31/world/asia/31cambo.html?_r=1&ref=world)</ref> Duch was categorized under one of the two possible categories of persons eligible to be held responsible for crimes committed by the Khmer Rouge as "Those most responsible for crimes committed between 17 April 1975 and 6 January 1979" and was found guilty of "Crimes against humanity (persecution on political grounds) including, murder and extermination, enslavement, imprisonment, torture and rape and other inhumane acts" as well as "Grave breaches of the Geneva conventions of 1949 (willful killing, torture and inhumane treatment, willfully causing great suffering or serious injury to body or health, willfully depriving a prisoner of war or civilian of the rights of a fair and regular trial, and unlawful confinement of a civilian.)".<ref>United Nations; Royal Government of Cambodia. 2011. "Case Load" ''Case 001, 2011.'' Phnom Penh, Cambodia: Extraordinary Chambers in the Courts of Cambodia Retrieved 2010 (http://www.eccc.gov.kh/en/case/topic/1) (http://www.eccc.gov.kh/english/cabinet/publications/leaflets/verdict_leaflet_english.pdf)</ref> Duch was sentenced to thirty-five years imprisonment, but the sentence was reduced in light of the fact that Duch was illegally detained "by the Military Court from May 1999 to July 2007 (more than eight years)" and Cambodian law does not allow anyone to be held in prison under pre-trial conditions for more than three years time.<ref>United Nations; Royal Government of Cambodia. 2011. "Case Load" ''Case 001, 2011.'' Phnom Penh, Cambodia: Extraordinary Chambers in the Courts of Cambodia Retrieved 2010 (http://www.eccc.gov.kh/en/case/topic/1) (http://www.eccc.gov.kh/english/cabinet/publications/leaflets/verdict_leaflet_english.pdf)</ref> In light of this Duch's sentence was reduced by three years time.<ref>United Nations; Royal Government of Cambodia. 2011. "Case Load" ''Case 001, 2011.'' Phnom Penh, Cambodia: Extraordinary Chambers in the Courts of Cambodia Retrieved 2010 (http://www.eccc.gov.kh/en/case/topic/1) (http://www.eccc.gov.kh/english/cabinet/publications/leaflets/verdict_leaflet_english.pdf)</ref> Duch was one of five members arrested by the Cambodian government to be held for trial, with the next trial scheduled for 2011.<ref>MacLeod, Calum. "In Cambodia, 'history cannot be hidden': But few have faith in trials for Khmer Rouge." ''USA Today'' 15 September 2010. 1A-2A. Print.</ref> Unfortunately, the trials lack the faith of the general domestic public (as well as international ex-patriots) who question both the efficacy of the trials and the intentions of the government. Many former Khmer Rouge party members today live normal lives within Cambodia among those that they may be responsible for imprisoning or murdering their family members.<ref>MacLeod, Calum. "In Cambodia, 'history cannot be hidden': But few have faith in trials for Khmer Rouge." ''USA Today'' 15 September 2010. 1A-2A. Print.</ref> Furthermore, many top level government officials are former Khmer Rouge themselves (including the Prime Minister) and it has been reported that Cambodian government is obstructing and interfering with the trials and possess' the clout to shield top level officials from future indictments and/or prosecution.<ref>MacLeod, Calum. "In Cambodia, 'history cannot be hidden': But few have faith in trials for Khmer Rouge." ''USA Today'' 15 September 2010. 1A-2A. Print.</ref> <ref>(Author Unspecified). 2004. "Profile: Hun Sen." London, UK: British Broadcasting Corporation (BBC) News, Asia-Pacific. Retrieved 2010 (http://news.bbc.co.uk/2/hi/asia-pacific/138761.stm)</ref> ==Courts and Criminal Law== The laws of the Cambodian Criminal Code creates three types of offenses; "felonies", "misdemeanors", and "minor offenses".<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> The stipulating laws that dictate these offenses are the Provisions Relating to the Judiciary and Criminal Law and Procedure Applicable in Cambodia During the Transitional Period, a.k.a. the UNTAC Code (due to the fact that it was created during the transitional authority period by the United Nations).<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> In order for an individual to be convicted under such codes all of the following criteria must be met: "Element Legal - That it is an offense set down by law"; "Element Objective (the physical act) - That the act or acts done by the accused person constituted a breach of that law"; and "Element Subjective (the state of mind of the accused) - That the accused had the required intention or state of mind to constitute the offense".<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> [[File:Cambodia flag (1).jpg|left|thumb|300px| '''Legal Defenses: Superior Orders''' Under the Cambodian Criminal Code, it is a legitimate defense for military personnel to claim that they were unaware that their actions taken were against the law. Orders from superiors within the Cambodian, or any, military are of premium importance and subordinates who refuse orders are subject to harsh penalties under military discipline. However, this potentially creates a problem in a country where the military illegitimately expropriates land for the benefit of the state's elite and acts with basic impunity.<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref>]] Complex issues and varying circumstances may effect the amount and manner in which different sections of the code may be implemented.<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> The UNTAC criminal code falls within the parameters of civil law more so than those of common law seeing that persons may only be tried for a crime that is on the books with interpretation or extrapolation of a preexisting law not specifically relating to such an incidence not applicable to the legal system and its processes (ex post facto laws).<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> Citizens are theoretically also protected from "secret laws" created by the government stipulating criminal code not promulgated and made clear and known to the citizenry.<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> [[File:Fire truck in Phnom Penh.jpg|thumb| '''Who will police the police?''' The death of national police commissioner Gen. Hok Lundy on November 9, 2008 brought a sigh of relief for many Cambodians. Hok's fourteen year tenure was looked at by many as sharing direct responsibility for the impunity upon which the wealthy elite in Cambodia operate due to his lack of investigating politically sensitive issues. Hok was also personally accused of killing anti-government demonstrators in grenade attacks in 1997 as well as the "extrajudicial killing of some 40 members of a rival party in a July 1997 coup." This lack of culpability experienced by the national police force is noted as representing a systemic problem within Cambodia.<ref>Hay, Lao Mong. 2008. "Cambodia needs a neutral police force". Washington, DC: United Press International (UPI), Asia. Retrieved May 2, 2011 (http://www.upiasia.com/Human_Rights/2008/11/19/cambodia_needs_a_neutral_police_force/1941/)</ref>]] Although accused persons may not be tried under laws created after an offense was committed, they are allowed by law to benefit from decreases in the harshness of sentencing (which apply to the crimes they are being accused of) if these are passed during the trial period of the accused; this is referred to as "immediate advantage".<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> The reverse implementation of "immediate advantage", where harsher sentences may be applied to accused after the crime was committed but during the trial period, does not exist.<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> Other parameters concerning Cambodian criminal code stipulated by the UNTAC laws include double jeopardy ("The principle that a person cannot be prosecuted or tried a second time for the same offense"), the vagueness of laws ("A law must clearly define the offense"), time limits for prosecution ("a criminal proceeding must be started within certain statutory time limits"), a differentiation between voluntary and involuntary acts ("For there to be criminal liability in most jurisdictions, the accused must have performed some sort of voluntary physical act"), the condition of the victim ("When a person chooses to commit a crime, s/he is liable for the harm s/he causes even if s/he could not know the mental or physical condition of the victim") and the intervening acts of the victim or third party ("An offender is liable for the harm caused by the actions of the victim or a third party, if those actions could reasonably have been foreseen by the offender"); among others.<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> Due to the fact that Cambodia's criminal code was devised under the transitional authority period, its constitution is characteristic of major international covenants concerning human rights.<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> For example, the accused in Cambodia are considered innocent until proven guilty under the current criminal code; "the accused carries no burden to prove his/her innocence at trial. If the accused is to be found guilty of an offense, the prosecutor must prove each and every element of that offense beyond a reasonable doubt".<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> Judges, rather than juries, hand down convictions and decide on the innocence or guilt of the accused and may hand down three possible sentences: "The judge may reject the defense and convict the accused", "The judge may accept the defense and acquit the accused", and "The judge may convict the accused and mitigate the sentence".<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> A defense under the criminal code by the accused may take two forms. First, the defender may raise "doubt that the prosecutor has in fact proven each element of the crime", or second, may provide a "justification" for actions taken in violation of the law for purposes of defense of "person or property, duress, and necessity".<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> Militating circumstances may be taken into account by a judge for an accused person who clearly demonstrates mental illness, voluntary or involuntary intoxication, incapacity (ex. minors), or mistake of fact.<ref>Coghill, Stuart. 2000. "Resource Guide to the Criminal Law of Cambodia." New York, New York; Phnom Penh, Cambodia: International Human Rights Law Group, Cambodian Defenders Project. Retrieved May 2, 2011 (http://www.globalrights.org/site/DocServer/Cambodia_Ch6.pdf?docID=192)</ref> ===Punishment=== In 2010, Amnesty International published its report on countries in which the death penalty was still implemented as a legitimate means of enforcement.<ref>International Secretariat. 2011. "Death Sentences and Executions 2010." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ACT50/001/2011/en/ea1b6b25-a62a-4074-927d-ba51e88df2e9/act500012011en.pdf)</ref> It cited the 21, December 2010 U.N. General Assembly's resolution which called for a global moratorium on the use of capital punishment.<ref>International Secretariat. 2011. "Death Sentences and Executions 2010." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ACT50/001/2011/en/ea1b6b25-a62a-4074-927d-ba51e88df2e9/act500012011en.pdf)</ref> Missing from the list was Cambodia, which abolished capital punishment for all crimes in 1989.<ref>Amnesty International. 2011. "Abolitionist and Retentionist Countries." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/death-penalty/abolitionist-and-retentionist-countries)</ref> Though Cambodia has made recent progress in terms of rights and autonomy extended to its citizens, human rights organizations continually document the Cambodian state's violation of fundamental human rights. The idea of a penal system employing incarceration as a means of punishment in defiance of the existing order is a concept that has been transplanted to Cambodia through the process of colonization under the auspices of the French.<ref>Jacobsen, Trudy. 2005. "Paying through the nose: punishment in the Cambodian past and lessons for the present." ''South East Asia Research'' Volume 13, Number 2, July 2005, pp. 235-256(22) (http://www.ingentaconnect.com/content/ip/sear/2005/00000013/00000002/art00004)</ref> Before the onset of the 20th century, "punishment in Cambodia usually consisted of fines, enslavement, amputation of the nose or ears, or death".<ref>Jacobsen, Trudy. 2005. "Paying through the nose: punishment in the Cambodian past and lessons for the present." ''South East Asia Research'' Volume 13, Number 2, July 2005, pp. 235-256(22) (http://www.ingentaconnect.com/content/ip/sear/2005/00000013/00000002/art00004)</ref> The 1991 Paris Peace Accords as well as the work of UNTAC saw the further development and integration of a western legal system into the Cambodian legal framework.<ref>Jacobsen, Trudy. 2005. "Paying through the nose: punishment in the Cambodian past and lessons for the present." ''South East Asia Research'' Volume 13, Number 2, July 2005, pp. 235-256(22) (http://www.ingentaconnect.com/content/ip/sear/2005/00000013/00000002/art00004)</ref> <ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> The current trials of former Khmer Rouge members also highlight this coordination between Cambodia and western legal officials.<ref>United Nations. 2011. "United Nations Assistance to the Khmer Rouge Trials: UNAKRT Mission and Scope." New York, New York; Phnom Penh, Cambodia: United Nations Assistance to the Khmer Rouge Trials (UNAKRT). Retrieved 2010 (http://www.unakrt-online.org/02_home.htm)</ref> Punishment in Cambodia generally consists of fines and jail time. An example would be the Monogamy Law which bans adultery and imposes fines of up to 200,000 to 1 million riels as well as jail time potentially ranging from a month to a year.<ref>(Anonymous Blogger). 2010. "Sex and punishment: Cambodia’s adultery law." Phnom Penh, Cambodia: Khmer Portal. Retrieved 2011 (http://khmerportal.com/forum/22-news/915-sex-and-punishment-cambodias-adultery-law)</ref> The Cambodian National Assembly's Monogamy Law is considered controversial and was not covered under Cambodia's 2010 revised National Penal Code, turning the enforcement of the law into a gray area.<ref>(Anonymous Blogger). 2010. "Sex and punishment: Cambodia’s adultery law." Phnom Penh, Cambodia: Khmer Portal. Retrieved 2011 (http://khmerportal.com/forum/22-news/915-sex-and-punishment-cambodias-adultery-law)</ref> However, the 2010 N.P.C. (National Penal Code) does include other provisions within its articles that many consider to be objectionable. These include Articles 301 to 304 which outline offenses designed to protect "communication privacy".<ref>Article 19, Global Campaign for Free Expression. 2009. "Comment on the Draft Cambodian Penal Code ARTICLE 19 London September 2009." London, UK: Article 19, Global Campaign for Free Expression. Retrieved 2011 (http://www.article19.org/pdfs/analysis/cambodia-comment-on-the-draft-penal-code.pdf)</ref> The law stipulates that listening or recording what another person says "without the consent of that person" is punishable by prison time ranging from one month to one year as well as a fine of 100,000 to 200,000 riels.<ref>Article 19, Global Campaign for Free Expression. 2009. "Comment on the Draft Cambodian Penal Code ARTICLE 19 London September 2009." London, UK: Article 19, Global Campaign for Free Expression. Retrieved 2011 (http://www.article19.org/pdfs/analysis/cambodia-comment-on-the-draft-penal-code.pdf)</ref> The same stands for anyone who attempts to take a picture of another person "in a private place without the consent of that person" as well as anyone who attempts to commit any of these crimes.<ref>Article 19, Global Campaign for Free Expression. 2009. "Comment on the Draft Cambodian Penal Code ARTICLE 19 London September 2009." London, UK: Article 19, Global Campaign for Free Expression. Retrieved 2011 (http://www.article19.org/pdfs/analysis/cambodia-comment-on-the-draft-penal-code.pdf)</ref> Further articles provide "additional penalties".<ref>Article 19, Global Campaign for Free Expression. 2009. "Comment on the Draft Cambodian Penal Code ARTICLE 19 London September 2009." London, UK: Article 19, Global Campaign for Free Expression. Retrieved 2011 (http://www.article19.org/pdfs/analysis/cambodia-comment-on-the-draft-penal-code.pdf)</ref> Although these laws seemingly attempt to protect the privacy of normal citizens, the possibility of imprisonment defines the communication privacy provisions as not only civil transgressions but criminal ones as well. Taking into consideration the generally corrupt nature of the Cambodian state, it doesn't take one long to ask in what ways the ruling elites in Cambodia may benefit from such provisions. By guaranteeing privacy over the public good in all cases and remaining ambiguous on whether or not individuals forfeit their privacy in public settings (such as a politician making a speech or government troops partaking in illicit behavior in public), the law provides ample room for interpretation and holds the capacity to be employed as a weapon against government accountability.<ref>Article 19, Global Campaign for Free Expression. 2009. "Comment on the Draft Cambodian Penal Code ARTICLE 19 London September 2009." London, UK: Article 19, Global Campaign for Free Expression. Retrieved 2011 (http://www.article19.org/pdfs/analysis/cambodia-comment-on-the-draft-penal-code.pdf)</ref> The N.P.C. also covers legalities concerning defamation (Articles 305-308), "slanderous denunciation" (Article 311), public insult leveled at the King (Article 445), providing "Cambodian military or civilian authorities with false information with a view to serving the interests of a foreign State (Article 457)", insurrection (Article 466), the dissemination of information of a "confidential nature" (unspecified as what constitutes "confidential) (Articles 314 and 488), and lying to the courts or other authorities (Article 535), among others.<ref>Article 19, Global Campaign for Free Expression. 2009. "Comment on the Draft Cambodian Penal Code ARTICLE 19 London September 2009." London, UK: Article 19, Global Campaign for Free Expression. Retrieved 2011 (http://www.article19.org/pdfs/analysis/cambodia-comment-on-the-draft-penal-code.pdf)</ref> These various Articles have been cited as intentionally creating the potential for expansionist interpretation and application through their ambiguity as well as disproportionately protecting the rights and leverage of government officials.<ref>Article 19, Global Campaign for Free Expression. 2009. "Comment on the Draft Cambodian Penal Code ARTICLE 19 London September 2009." London, UK: Article 19, Global Campaign for Free Expression. Retrieved 2011 (http://www.article19.org/pdfs/analysis/cambodia-comment-on-the-draft-penal-code.pdf)</ref> Though punishments legitimated through codification within the Cambodian legal system stand as testaments to the repression of fundamental civil and political rights on their own, it is often the undisclosed and extralegal means through which the Cambodian government punishes its citizens that provide a clearer picture of the protection (or lack thereof) Cambodian citizens may expect to enjoy from their government. In November of 2010 Amnesty International cited an article published in ''The Guardian'' alleging that funding provided by the U.N. was being used in Cambodia to run an internment center for Cambodia's "destitute".<ref>Amnesty International. 2010. "Amnesty International News For Health Professionals." London, UK: Amnesty International. AI Bulletin Vol. 13 No. 22, 12 November, 2010 AI Index: ACT 84/022/2010. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ACT84/022/2010/en/569d8338-9240-4872-ab93-127e97e51a24/act840222010en.pdf)</ref> These peoples held by the Cambodian government are being detained against their will for months and subjected to rape and beatings that often lead to death.<ref>Amnesty International. 2010. "Amnesty International News For Health Professionals." London, UK: Amnesty International. AI Bulletin Vol. 13 No. 22, 12 November, 2010 AI Index: ACT 84/022/2010. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ACT84/022/2010/en/569d8338-9240-4872-ab93-127e97e51a24/act840222010en.pdf)</ref> A.I. (Amnesty International) also cited a September 2010 article by the Phnom Penh Post discussing the issue of overcrowding within Cambodian prisons that were responsible for the deaths of "64 inmate deaths in the first eight months of 2010".<ref>Amnesty International. 2010. "Amnesty International News For Health Professionals." London, UK: Amnesty International. AI Bulletin Vol. 13 No. 22, 12 November, 2010 AI Index: ACT 84/022/2010. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ACT84/022/2010/en/569d8338-9240-4872-ab93-127e97e51a24/act840222010en.pdf) (http://www.phnompenhpost.com/index.php?option=com_jcs&view=jcs&layout=form&Itemid=0)</ref> The articles titled implied that many of the inmates were targets of state repression and that this was a key element to the issue of overcrowding.<ref>Amnesty International. 2010. "Amnesty International News For Health Professionals." London, UK: Amnesty International. AI Bulletin Vol. 13 No. 22, 12 November, 2010 AI Index: ACT 84/022/2010. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ACT84/022/2010/en/569d8338-9240-4872-ab93-127e97e51a24/act840222010en.pdf) (http://www.phnompenhpost.com/index.php?option=com_jcs&view=jcs&layout=form&Itemid=0)</ref> The Cambodian government has also taken both legal and extralegal means against unions and strikers within the country. In September of 2010, A.I. alleges that the Prime Minister ordered authorities to "begin unspecified legal action" against union leaders who organized a national strike of 200,000 garment industry workers due to a new minimum wage.<ref>Amnesty International. 2010. "Urgent Action: Union Leaders and Activist Under Threat." London, UK: Amnesty International. UA: 206/10 Index: ASA 23/008/2010 Cambodia. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/008/2010/en/c7ba0412-a002-4213-bf87-07c04ab557dc/asa230082010en.pdf)</ref> Beginning on the 13 of September, the strike allegedly drew the attention of police and led to the subsequent harassment of strikers.<ref>Amnesty International. 2010. "Urgent Action: Union Leaders and Activist Under Threat." London, UK: Amnesty International. UA: 206/10 Index: ASA 23/008/2010 Cambodia. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/008/2010/en/c7ba0412-a002-4213-bf87-07c04ab557dc/asa230082010en.pdf)</ref> [[File:Cambodia, Phnom Penh, Royal Palace as seen from acros Tonle Sap River.jpg|thumb|700px| '''The Decadence Behind Human Rights Abuses''' The royal palace located along the Tonle Sap river proves an exquisite showpiece of Cambodian society for citizens and tourist alike. Yet the conditions of the Cambodian prison system would paint a grim picture of the priorities of the Cambodian government. According to a 2010 report from the LICADHO, Cambodia's prisons are filled to 175% capacity, and as of December 2009 "one third of all Cambodian prisoners – over 4,000 – were in pretrial status".<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> The government's answer has been to build new prisons like CC4, which it is planning on operating "as a large-scale prison farm".<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> With the Cambodian justice system's over-reliance on prisons in the sentencing process and forced inmate labor (dedicated to the production of "sugarcane, rubber, corn, beans, cassava and sesame") seen as a step towards "rehabilitation", the Cambodian prison and sentencing system are trapped in the midst of a systemic crisis.<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref>]] Illegitimate expropriation of land by the Cambodian state is another ongoing problem within Cambodia and disproportionately effects the "poor and marginalized", as might be expected.<ref>International Secretariat. 2010. "Cambodia: Ongoing Serious Human Rights Violations Must Be Addressed." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/007/2010/en/883b2bfa-f902-41b7-bd63-b3638328373d/asa230072010en.pdf)</ref> In March of 2009 Cambodian security forces "shot at unarmed villagers in Siem Reap province" who were protesting their loss of land and forced eviction.<ref>International Secretariat. 2010. "Cambodia: Ongoing Serious Human Rights Violations Must Be Adressed." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/007/2010/en/883b2bfa-f902-41b7-bd63-b3638328373d/asa230072010en.pdf)</ref> Several of the displaced farmers were charged with robbery, jailed, and ordered to pay compensation for attempting to farm their former land.<ref>International Secretariat. 2010. "Cambodia: Ongoing Serious Human Rights Violations Must Be Addressed." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/007/2010/en/883b2bfa-f902-41b7-bd63-b3638328373d/asa230072010en.pdf)</ref> The government of Cambodia has a penchant for extrajudicial and extralegal means to silencing its critics, employing collective punishment as well as targeted killings.<ref>International Secretariat. 2010. "Cambodia: Ongoing Serious Human Rights Violations Must Be Addressed." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/007/2010/en/883b2bfa-f902-41b7-bd63-b3638328373d/asa230072010en.pdf)</ref> A multitude of civil society members have been murdered under curious conditions and their deaths investigated by authorities. These include trade unionist and "nine journalists working for opposition media" since 1994.<ref>International Secretariat. 2010. "Cambodia: Ongoing Serious Human Rights Violations Must Be Addressed." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/007/2010/en/883b2bfa-f902-41b7-bd63-b3638328373d/asa230072010en.pdf)</ref> Along with targeted killings and collective punishment in the form of land expropriation, rape, a corrupt judiciary and police force, and the repression of freedom of expression and assembly are all indicative the all to common extralegal means through which the Cambodian government enforces policy through violence that punishes the population.<ref>International Secretariat. 2010. "Cambodia: Ongoing Serious Human Rights Violations Must Be Addressed." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/007/2010/en/883b2bfa-f902-41b7-bd63-b3638328373d/asa230072010en.pdf)</ref> This presents a systemic problem within the Cambodian legal system pertaining to the channels through which officials exercise their authority and enforce their own rule of law. Although these may not be considered conventional forms of punishment intended to establish an official social order, they non the less serve the government's interest and qualify as systemically entrenched unofficial policy that intentionally punishes the Cambodian population. Unfortunately, according to a July 2010 LICADHO (Cambodian League For The Promotion and Defense Of Human Rights) Report, the Cambodian prison population is exploding with no decline in sight within the near future.<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> As of 2010 the out of eight-teen prisons surveyed by LICADHO, their collective capacity had expanded by 14% a year within a six year period.<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> While the Cambodian prison system has an 8,000 inmate capacity, by 2010 it was warehousing an estimated 13,325 prisoners (167% capacity) according to the Cambodian General Department of Prisons while LICADHO's estimate was even higher (175% capacity).<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> These eight-teen prisons monitored by LICADHO account for approximately 90% of Cambodia's total prison population.<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> The Cambodian government's only response to this apparent problem has been to expand the country's prison-system infrastructure, with the construction and opening of Correctional Center 4 (CC4) in Pursat Province.<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> Without a doubt, expanding the infrastructure of the prison-system will undoubtedly create wealth within the construction industry granted contracts from government officials, and providing an profit incentive for imprisoning citizens will potentially exacerbate the corruption already rampant within the Cambodian government. According to the 2010 LICADHO report one of the main factors contributing the phenomenon of overcrowding stems from an "over-reliance on prisons to address crime" with "Cambodia’s criminal justice system...focused almost entirely on incarceration".<ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> ===Legal Personnel=== [[File:Cambodian Civil War-era T-54 or Type 59.jpg|left|thumb| '''The Fallout from War''' Due to the extended period through which Cambodia experienced warfare and genocide at the hands of the French, Americans, and the D.K., the legal infrastructure of their country is in disrepair which translates into inadequately trained and corrupt legal personnel. Not only has the institutional apparatus of Cambodia been negatively affected by the war, but the physical damage to individuals is also severe. Some estimates report that "between three and four Cambodians are maimed or killed every single day by land mines" with "More than 27,000 people in Siem Reap Province alone" having "been maimed or killed by land mines". Recently a Cambodian N.G.O. has been established by a former Khmer Rouge soldier to clear Cambodian territories of unexploded land mines and cluster bombs.<ref>LoBaido, Anthony C. 2009. "Repairing war damage: Soldiers who care Ex-Khmer Rouge child fighter digs up mines to 'make his country safe'." Washington, DC: WorldNetDaily.Com Inc. Retrieved May 3, 2011 (http://www.wnd.com/?pageId=105331)</ref>]]Due to years of war, bombings, and the regime of the murderous Khmer Rouge, the legal infrastructure (physical and social) of Cambodia along with most institutions were in complete disrepair by 1979.<ref>Vickery, Michael. 1990. "The Rule of Law in Cambodia." Massachusetts, U.S.A.: Cultural Survival. Retrieved May 3, 2011 (http://www.culturalsurvival.org/publications/cultural-survival-quarterly/cambodia/rule-law-cambodia)</ref> Such problems included "penury of surviving legally trained personnel, destruction of archives and legal documentation," the "total absence of formal courts and legality under DK" and "police traditions that ignored such niceties as rights of the accused".<ref>Vickery, Michael. 1990. "The Rule of Law in Cambodia." Massachusetts, U.S.A.: Cultural Survival. Retrieved May 3, 2011 (http://www.culturalsurvival.org/publications/cultural-survival-quarterly/cambodia/rule-law-cambodia)</ref> This lack of a general support system integral to maintaining a smooth and functioning legal system (and the crucial function of training legal personnel) is evident in the lack of respect for human rights experienced by the Cambodian citizenry at the hands of state actors. The groundwork for this current lack of development in terms of legal administrative functioning was laid down in the early stages of post-Khmer Rouge Cambodia where a re-armed D.K. on the Thai border provided an incentive for militarization of the state.<ref>Vickery, Michael. 1990. "The Rule of Law in Cambodia." Massachusetts, U.S.A.: Cultural Survival. Retrieved May 3, 2011 (http://www.culturalsurvival.org/publications/cultural-survival-quarterly/cambodia/rule-law-cambodia)</ref> This lack of state functioning set the impetus for the international community to intervene in 1993 and construct UNTAC to broker a peace within the country and set up the ground work for a functioning government.<ref>United Nations. 2003. "Cambodia-UNTAC: Background." New York, New York: Information Technology Section/ Department of Public Information (DPI). Retrieved 2010 (http://www.un.org/en/peacekeeping/missions/past/untacbackgr1.html)</ref> Legal personnel in Cambodia consists of judges, lawyers, administrative officials, and civil and military police, all of which are notoriously corrupt and serve as tools for Cambodia's elite class.<ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref><ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> There have been inter-governmental and non-governmental efforts by such organizations as the United Nations and the Legal Aid of Cambodia to facilitate the development of neutral institutions within the country, yet progress is slow and ongoing.<ref>Legal Aid of Cambodia. 2009. "Legal Aid of Cambodia Annual Report 2009." Phnom Penh, Cambodia: Legal Aid of Cambodia. Retrieved May 3, 2011 (http://www.lac.org.kh/english/wordpress/wp-content/uploads/2010/06/lac_annual_report_2009.pdf)</ref> The police are especially known for violent crack downs on citizens wishing to protest. In April of 2011 police beat men, women, children and elderly protesters in Phnom Penh demonstrating against land evictions.<ref>(Author Unspecified). 2011. "Cambodian police crack down on rally in capital." Hong Kong: Asia Pacific New; Media Corp Pte Ltd. Retrieved May 3, 2011 (http://www.channelnewsasia.com/stories/afp_asiapacific/view/1124210/1/.html)</ref> The police allegedly used "electric batons" to disperse the protesters.<ref>(Author Unspecified). 2011. "Cambodian police crack down on rally in capital." Hong Kong: Asia Pacific New; Media Corp Pte Ltd. Retrieved May 3, 2011 (http://www.channelnewsasia.com/stories/afp_asiapacific/view/1124210/1/.html)</ref> Seeing that the only criteria for enrollment into Cambodia's police force is the ability to pay a bribe, such actions are expected from a enforcement apparatus without adequate training or institutional support.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The ability of citizens to redress such grievances against particular state authorities is deterred by the impartiality of the judiciary.<ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref> These two theoretically independent sectors of the Cambodian government are in reality working in systemic collusion and predominately function only to carry out the bidding of the CPP; these institutions represent elite party interests and not the ideals and standards of the institutions themselves. ===Law Enforcement=== [[File:Cambodia Police motorcycle 01.jpg|thumb|300px| '''Paper Soldiers''' One Cambodian officer interviewed by the Asia Human Rights Commission was (reportedly) officially enlisted in Cambodia's military police force. However, by his own account this was the extant of his service and he was able collect 10,000 riels a month for simply having his name listed on a piece of paper. His actual salary was 30,000 riels, but the other 20,000 was being collected by a superior in return for the informants pay.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref>]] Law enforcement within Cambodia, according to Asia Human Rights Commission, is divided among the civil police force (under the jurisdiction of the Ministry of the Interior) and the military police force (under the jurisdiction of the Defense Ministry).<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The civil police reportedly number at around 67,000 while the military police number at approximately 10,000.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The police forces in Cambodia are reported to be plagued by the phenomenon of cronyism with officers support for political parties superseding that of loyalties to the government and subsequently dictating hiring practices.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> Government machinery is predicated on party lines rather than on a neutral institutional basis as the domination of the police by the CPP (Cambodian People's Party) and reactionary efforts by FUNICPEC to assert more control over the institution has clearly demonstrated.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The CPP has historically relied on its influence within the civil service to control the state apparatus while FUNCIPEC has reportedly relied on support from the military to build its party base.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The realities of party politics heavily contributing to the administrative functions of the state is facilitated by the stipulations set forth in the Cambodian constitution; "Article 15 of the Law on Political Parties" (in the Cambodian Constitution) "says that members of the judiciary police, armed forces and members of the civil administration can be simultaneously members of a political party, though cannot be active members" and goes on to state that it is "legal to be a government official as well as a member of a political party".<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The qualification process for police officials reads as equally troubling as the potential conflicts of interest ignored by the constitution. According to the Asia Human Rights Commission, when asked what the educational and physical requirements were for acceptance into either the civil or miltary police force, the individual questioned who works for the Human Rights Task Force in Cambodia responded "What educational qualifications? What do you mean by physical fitness? The only procedure to recruit a police personnel is money. If you have money, you can get any position in the police or in anywhere." Also noted by the Asia Human Rights Commission is the "selling of names of the police personnel"; commanders joining the force must provide a list of subordinates under their authority who there upon join the force with them.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> This leads to officers commonly over-reporting the number of men under their purview so as to solicit greater payroll accounts.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The commanding officers will then sell the accounts, which include men listed who do not even exist, and produce for themselves and their party affiliates substantial pay from the state.<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> The fact that Cambodian political parties control this process and both they and their affiliates benefit from the clout of influence, money, and authority provides an incentive for a bloated police force commonly consisting of "paper soldiers".<ref>Jaleel, Muzamil. 1998. "CAMBODIA: Who are Cambodian Police?." Geneva, Switzerland: Asia Human Rights Commission: Human Rights Solidarity. Vol. 08 No. 10 OCT 1998. Retrieved May 2, 2011 (http://www.hrsolidarity.net/mainfile.php/1998vol08no10/1820/)</ref> This lack of both educational and professional standards within both the military and civil police forces of Cambodia creates conditions ripe for nepotism, human rights abuses, and pervasive eroding of institutional structures. ===Crime Rates and Public Opinion=== Cambodia's recent and rather destructive history that has destroyed much of the social, political, and material infrastructure as well as the recent global financial collapse that has had a negative effect on the garment industry may be understood to contribute to the lack of stable employment that would mitigate the types of crime that defines much of the country. Considering this in conjunction with the fact that although Cambodian GDP has been growing at an estimated average of 8.4% for the last fifteen years with 2004 to 2007 experiencing "double-digit growth", in this same three year period wealth stratification increased from 0.39% to 0.43%.<ref>United Nations. 2010. "Trends-Policies-Governance" Local Development Outlook: Cambodia, 2010. New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> [[File:HeroinWorld-en.svg|left|thumb|400px|'''The Golden Triangle''' According to a New York Times 2007 article, "Three decades ago, the northernmost reaches of Laos, Thailand and Myanmar produced more than 70 percent of all the opium sold worldwide." According to the United Nations, the Golden Triangle's share of opium production has been eclipsed by the Golden Crescent which now produces an estimated "92 percent of the world’s opium." One source of this development has been the pressure placed on the drug-producing region from China. Due to China's proximity to the Golden Triangle it had become a "major market" for the opium produced by it and had experienced "a spike in addicts and H.I.V. infections from contaminated needles."<ref>Fuller, Thomas. 2007. "No Blowing Smoke: Poppies Fade in Southeast Asia." New York, New York: The New York Times. Retrieved May 2, 2011 (http://www.nytimes.com/2007/09/16/weekinreview/16fuller.html)</ref>]] This is most likely due to the fact that much of the rural population is left behind while development focuses on urban centers dedicated to facilitating Cambodia's niche within the globalized market economy.<ref>United Nations. 2010. "Trends-Policies-Governance" Local Development Outlook: Cambodia, 2010. New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> Even within much of Cambodia's more urbanized areas, it is not uncommon to find mansions sitting on large tracts of land juxtaposed against crumbling shacks. These conditions set the stage for varying forms of national and transnational crime. International governmental and non-governmental organizations commonly focus on Cambodia's role in two specific categories of crime: drugs (counterfeit or otherwise), and human trafficking.<ref>International Police (INTERPOL). 2008. "Cambodia pledges support for global fight against counterfeit drugs during visit to INTERPOL." Lyon, France: International Police (INTERPOL). Retrieved 2011 (http://www.interpol.int/public/News/2008/CambodiaMinister20080414.asp)</ref><ref>Academy for Educational Development. 2001-2006. "Cambodia: Structure of the Cambodian Task Force on Human Trafficking, Signed Decision to Establish National Task Force." Washington, DC: Academy for Educational Development, Human Trafficking.Org. Retrieved 2011 (http://www.humantrafficking.org/countries/cambodia)</ref><ref>Vyrith, Meas. 2010. "National Authority for Combating Drugs" ''Global SMART Programme Workshop for East Asia 5-6 July 2010, Bangkok, Thailand, 2010''. Phnom Penh, Cambodia: National Authority for Combating Drugs, Drugs Information Center. Retrieved 2011 (http://www.unodc.org/documents/eastasiaandpacific/2010/08/smart-regional-workshop/Cambodia_Global_Smart_5-6_Aug_2010.pdf)</ref> Both of these categories are multidimensional issues with severe health implications for the country. Drug's are not only illegally produced in Cambodia but are also increasingly consumed. Sex trafficking not only results in the kidnapping and shipment of young men and women, but domestic prostitution also increases the likely-hood of unprotected sex. These two problems compound each other with needle use and unprotected sex often resulting in the further spreading of disease in a country already burdened by high levels of H.I.V. and A.I.D.S. infection.<ref>United Nations. 2009. "United Nations Regional Task Force on Injecting Drug Use and HIV/AIDS for Asia and the Pacific: Cambodia Country Advocacy Brief Injecting Drug Use and HIV." New York, New York: United Nations Office on Drugs and Crime. Retrieved 2011(https://www.unodc.org/documents/eastasiaandpacific/topics/hiv-aids/UNRTF/CAM_CAB_8_Oct_09_.pdf)</ref> Unfortunately, the Cambodian government as well as its domestics security forces are notoriously corrupt with a large majority of illegal and illegitimate activity being state and provincially sponsored. This produces a lack of available statistics as to the general population's sentiments concerning crime.<ref>Redfern, Katrin. 2009. "Vibrant Cambodian Women's Leader Aims to Turn the Tide on Corruption." New York, New York: the NEW York City Independent Media Center. Retrieved 2010 (http://nyc.indymedia.org/en/2009/04/104739.html)</ref><ref>Hay, Lao Mong. 2008. "Cambodia's dysfunctional democracy." Washington, DC: United Press International (UPI), Asia. Retrieved 2010 (http://www.upiasia.com/Human_Rights/2008/03/26/cambodias_dysfunctional_democracy/4948/)</ref><ref>Licadho, Adhoc. 1999. "Cambodia-- Impunity in Cambodia: How Human Rights Offenders Escape Justice." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/en/reports/1999/06/01/cambodia-impunity-cambodia-how-human-rights-offenders-escape-justice)</ref> A large percentage of the available information and literature that is produced concerning crime is provided by either international human rights observers relating to government complicity and culpability of abuses or by organizations concerned with transnational crime that may effect global markets.<ref>Licadho, Adhoc. 1999. "Cambodia-- Impunity in Cambodia: How Human Rights Offenders Escape Justice." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/en/reports/1999/06/01/cambodia-impunity-cambodia-how-human-rights-offenders-escape-justice)</ref><ref>Vyrith, Meas. 2010. "National Authority for Combating Drugs" ''Global SMART Programme Workshop for East Asia 5-6 July 2010, Bangkok, Thailand, 2010''. Phnom Penh, Cambodia: National Authority for Combating Drugs, Drugs Information Center. Retrieved 2011 (http://www.unodc.org/documents/eastasiaandpacific/2010/08/smart-regional-workshop/Cambodia_Global_Smart_5-6_Aug_2010.pdf)</ref><ref>Sokunthea, Dr. Gen. Thong; Sophal, Dr. Chhit. 2010. "National Focal Point; Drug Abuse and Drug Dependence Treatment Situation; HIV/AIDS Situation; Training of Trainers – Current Status; National Counterparts; Treatment Centre Details; UN System." New, York, New, York: United Nations. Retrieved 2011 (http://www.unodc.org/docs/treatment/CoPro/Web_Cambodia.pdf)</ref><ref>Kheng, H.E. Sar. 2008. "Operation Storm Final Meeting and International Law Enforcement Training Seminar on Combating Counterfeit Drugs." Lyon, France: International Police (INTERPOL). Retrieved 2011 (http://www.interpol.int/public/ICPO/speeches/2008/OperationStorm20081117.asp)</ref> On a positive note, the Cambodian government has showed genuine concern for the spread of H.I.V. as it has been reported that "high level political leadership and an impressive scale-up of a national HIV prevention, treatment and care response, Cambodia is one of few countries in the world known for having controlled and reversed a generalized HIV epidemic in the 1990s".<ref>United Nations. 2009. "United Nations Regional Task Force on Injecting Drug Use and HIV/AIDS for Asia and the Pacific: Cambodia Country Advocacy Brief Injecting Drug Use and HIV." New York, New York: United Nations Office on Drugs and Crime. Retrieved 2011(https://www.unodc.org/documents/eastasiaandpacific/topics/hiv-aids/UNRTF/CAM_CAB_8_Oct_09_.pdf)</ref> Although there has been a mitigation of H.I.V. infection, the escalating prevalence of drug use concerns many that a resurgence is likely on the horizon. Statistics show that in-between 2007 and 2009 there has been a steady rise in both total drug cases and offenders arrested.<ref>Vyrith, Meas. 2010. "National Authority for Combating Drugs" ''Global SMART Programme Workshop for East Asia 5-6 July 2010, Bangkok, Thailand, 2010''. Phnom Penh, Cambodia: National Authority for Combating Drugs, Drugs Information Center. Retrieved 2011 (http://www.unodc.org/documents/eastasiaandpacific/2010/08/smart-regional-workshop/Cambodia_Global_Smart_5-6_Aug_2010.pdf)</ref> Drug cases rose from approximately 150 in 2007 to over 300 in 2009, with offenders arrested rising from under 300 in 2007 to over 600 in 2009.<ref>Vyrith, Meas. 2010. "National Authority for Combating Drugs" ''Global SMART Programme Workshop for East Asia 5-6 July 2010, Bangkok, Thailand, 2010''. Phnom Penh, Cambodia: National Authority for Combating Drugs, Drugs Information Center. Retrieved 2011 (http://www.unodc.org/documents/eastasiaandpacific/2010/08/smart-regional-workshop/Cambodia_Global_Smart_5-6_Aug_2010.pdf)</ref> Methamphetamine pill seizure dropped precipitously from 2007 to 2008 and then climbed slightly in 2009.<ref>Vyrith, Meas. 2010. "National Authority for Combating Drugs" ''Global SMART Programme Workshop for East Asia 5-6 July 2010, Bangkok, Thailand, 2010''. Phnom Penh, Cambodia: National Authority for Combating Drugs, Drugs Information Center. Retrieved 2011 (http://www.unodc.org/documents/eastasiaandpacific/2010/08/smart-regional-workshop/Cambodia_Global_Smart_5-6_Aug_2010.pdf)</ref> However, both cocaine and heroine seizure substantially rose from 2007 to 2009. With approximately 13,000 grams of heroine seized in 2007 this number rose to over 25,000 in 2009.<ref>Vyrith, Meas. 2010. "National Authority for Combating Drugs" ''Global SMART Programme Workshop for East Asia 5-6 July 2010, Bangkok, Thailand, 2010''. Phnom Penh, Cambodia: National Authority for Combating Drugs, Drugs Information Center. Retrieved 2011 (http://www.unodc.org/documents/eastasiaandpacific/2010/08/smart-regional-workshop/Cambodia_Global_Smart_5-6_Aug_2010.pdf)</ref> Cocaine also rose from 150 grams in 2008 to 995 grams in 2009.<ref>Vyrith, Meas. 2010. "National Authority for Combating Drugs" ''Global SMART Programme Workshop for East Asia 5-6 July 2010, Bangkok, Thailand, 2010''. Phnom Penh, Cambodia: National Authority for Combating Drugs, Drugs Information Center. Retrieved 2011 (http://www.unodc.org/documents/eastasiaandpacific/2010/08/smart-regional-workshop/Cambodia_Global_Smart_5-6_Aug_2010.pdf)</ref> Although this rise may seem rather high, it is also possible that rather than simply being due to increased usage and transport the increase in seizures may be credited to mounting pressure and effort of law enforcement. According to the U.S. State Department reports that Cambodia has a high crime rate "including street crime."<ref>U.S. Department of State. Bureau of Consular Affairs. 2011. "Cambodia" ''Country Specific Information, 2010.'' Washington, DC: Travel.State.Gov. Retrieved May 2, 2011 (http://travel.state.gov/travel/cis_pa_tw/cis/cis_1080.html)</ref> Armed robberies are cited as common occurrences facilitated by the easy access within the country to military caches and weapons; international travelers are among those frequently plagued by such problems.<ref>U.S. Department of State. Bureau of Consular Affairs. 2011. "Cambodia" ''Country Specific Information, 2010.'' Washington, DC: Travel.State.Gov. Retrieved May 2, 2011 (http://travel.state.gov/travel/cis_pa_tw/cis/cis_1080.html)</ref> The State Department cautions internationals from traveling at night and mentions American citizens within the country being "attacked by rocks or pieces of brick" and "bound with wire, assaulted, and robbed", incidents which usually aren't investigated by the police.<ref>U.S. Department of State. Bureau of Consular Affairs. 2011. "Cambodia" ''Country Specific Information, 2010.'' Washington, DC: Travel.State.Gov. Retrieved May 2, 2011 (http://travel.state.gov/travel/cis_pa_tw/cis/cis_1080.html)</ref> According to a 2010 report by AsiaCorrespondant.Com "Most news stories that fill Cambodian newspapers are about crime."<ref>Bun, Tharum. 2010. "Crime news most read in Cambodia." New York, New York: AsiaCorrespondant.Com. Retrieved May 2, 2011 (http://asiancorrespondent.com/39241/crime-news-most-read-in-cambodia/)</ref> ==Rights== [[File:Cambodia Villange Children.jpg|thumb|400px| '''91 Problems but Democracy ain't One''' In March of 2010, the United Nations made 91 recommendations to Cambodia regarding their record on human rights which the country accepted. However, soon afterward when a U.N. officer stationed within Cambodia criticized Thai deportations carried out by the government he was subsequently threatened with expulsion from the country and the closing of the U.N. office at the direct behest of Hun Sen.<ref>Human Rights Watch. 2011. "World Report 2011: Cambodia." New York, New York: Human Rights Watch. Retrieved May 2, 2011 (http://www.hrw.org/en/world-report-2011/cambodia)</ref>]] The rights of the Cambodian citizenry is enshrined in the country's constitution. The constitution grants citizens the full protection of human rights outlined in the United Nations Charter and the Universal Declaration of Human Rights.<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> Khmer citizens are extended equal privilege before the law "regardless of race, colour, sex, language, religious belief, political tendency, birth origin, social status, wealth or other status".<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> Both sexes therefore enjoy the right to vote, enjoy access to "right to participated actively in the political , economic, social and cultural life of the nation", "choose any employment according to their ability and to the needs of the society", and "receive equal pay for equal work".<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> Also protected is the right of citizens to peacefully strike, private property rights, denounce, make complaints or file claims against any breach of the law by the State, and freedom of expression, press, publication and assembly; among others.<ref>Kingdom of Cambodia. 1993. "The Constitution of the Kingdom of Cambodia." Copenhagen, Denmark: Nordic Institute of Asian Studies. Retrieved 2010 (http://www.constitution.org/cons/cambodia.htm)</ref> As has been cited in the previous sections, the rights enumerated and granted to Cambodian citizens are a different reality on paper than they are in practical terms. In a 2011 world report Human Rights Watch reported that "The Cambodian government increased its repression of freedoms of expression, assembly, and association in 2010, tightening the space for civil society to operate".<ref>Human Rights Watch. 2011. "World Report 2011: Cambodia." New York, New York: Human Rights Watch. Retrieved May 2, 2011 (http://www.hrw.org/en/world-report-2011/cambodia)</ref> Specifically cited in the report was the extent to which Hun Sen and the CPP has consolidated its control over Cambodian institutions ("judiciary, new laws") in an effort to enforce its mandate through illegitimate coercion.<ref>Human Rights Watch. 2011. "World Report 2011: Cambodia." New York, New York: Human Rights Watch. Retrieved May 2, 2011 (http://www.hrw.org/en/world-report-2011/cambodia)</ref> The report cited efforts by the CPP to "legal action to restrict free speech, jail government critics, disperse workers and farmers peacefully protesting, and silence opposition party members".<ref>Human Rights Watch. 2011. "World Report 2011: Cambodia." New York, New York: Human Rights Watch. Retrieved May 2, 2011 (http://www.hrw.org/en/world-report-2011/cambodia)</ref> As of 2010, Cambodia was failing to live up to the stipulations of the 1951 Refugee Convention, have suppressed dissent through a new penal code that classifies speech critical of government as defamation and disinformation, the killing of ten opposition journalists in the last fifteen years, restrictions on freedom of association through "pending legislation" concerning the actions of N.G.O.'s and trade unions, violent quashing of public and popular protests, the use of the judiciary to target opposition members in court, 2,000 people "arbitrarily detained" for reported drug use, targeted violence towards sex-workers and women in general, and the list goes on and on.<ref>Human Rights Watch. 2011. "World Report 2011: Cambodia." New York, New York: Human Rights Watch. Retrieved May 2, 2011 (http://www.hrw.org/en/world-report-2011/cambodia)</ref> ===Family Law=== Perhaps one of the most vulnerable sectors of Cambodian society is the female population. In 1999, Equality Now submitted a document to the United Nations Human Rights Commission (UNHRC), the investigative take force of the U.N. dedicated to monitoring state adherence to fundamental human rights, addressing the organizations grievances concerning violations of women's human rights in Cambodia. The document cited the Cambodian government's avowed dedication to gender equality enumerated through their nation's constitution.<ref>Equality Now. 1999. "Equality Now submission to the U.N. Human Rights Committee." New York, New York: Equality Now. Retrieved 2011(http://www.equalitynow.org/english/campaigns/un/unhrc_reports/unhrc_cambodia_en.pdf)</ref> [[File:Cambodia wedding.jpg|thumb|400px|left|'''The Realities of Marriage''' The United Nations Population Fund (UNPFA) reports that "25% of ever-married women have suffered emotional, physical and sexual violence" while "Officials, especially within the legal system, are predominantly male, and this hinders female accessibility to the legal system".<ref>United Nations. United Nations Population Fund. 2006. "Cambodia at a Glance" ''Population, Gender and Reproductive Health 2005''. Phnom Penh, Cambodia. Retrieved April 14, 2011. (http://www.un.org.kh/unfpa/_about/briefing_kit.htm)</ref> This highlights the lack of ability women realistically have in influencing the institutions they technically have equal control over in relation to men. Even if one is afforded the opportunity to engage legal mechanisms to redress grievances concerning a marriage partner, men have a virtual monopoly on the legal framework of family law.]] The document specifically cited Article 31 which states "that citizens are equal before the law and have the same rights and duties without distinction based on race, color, sex, language, religious belief, political views, ethnic origin, social status, wealth or other circumstances", and went on to state that "the Constitution guarantees citizens of either sex the right to participate actively in the political, economic, social and cultural life of the nation".<ref>Equality Now. 1999. "Equality Now submission to the U.N. Human Rights Committee." New York, New York: Equality Now. Retrieved 2011(http://www.equalitynow.org/english/campaigns/un/unhrc_reports/unhrc_cambodia_en.pdf)</ref> The particular issue concerning Equality Now was the increasing spread of human trafficking and prostitution primarily affecting women within the country.<ref>Equality Now. 1999. "Equality Now submission to the U.N. Human Rights Committee." New York, New York: Equality Now. Retrieved 2011(http://www.equalitynow.org/english/campaigns/un/unhrc_reports/unhrc_cambodia_en.pdf)</ref> It was stated by the document that this was due to an explicit lack of government concern with the "violence against women, discrimination in education, employment, political participation and the media, and the operation of family law in Cambodia".<ref>Equality Now. 1999. "Equality Now submission to the U.N. Human Rights Committee." New York, New York: Equality Now. Retrieved 2011(http://www.equalitynow.org/english/campaigns/un/unhrc_reports/unhrc_cambodia_en.pdf)</ref> The Cambodian Law on the Marriage and Family states that "the purpose of the Law on Marriage and Family is to regulate and protect the marriage and family, to ensure equality of the spouses in marriage and family, to strengthen the responsibility of the parents in raising up and taking care of their children, and to promote the moral and educational development of children to become good citizens imbued with a sense of responsibility for the nation and society, and the love of work."<ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> The law passed by the Cambodian General Assembly on July 17, 1989 proceeds to stipulate that marriages among minors and members of the same gender/sex will not be recognized by the state as valid with minors being defined as men of twenty years of age and women of eight-teen years of age.<ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> In the case of minors, under the special circumstances that a woman becomes impregnated upon the recognition and consent from the parents the marriage may be granted legitimacy by the government.<ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> [[File:Siem Reap Server - Cambodia.JPG|thumb|300px|'''Rhetoric vs Reality''' Several laws have been passed regarding the legal rights of women that have been ratified by the country of Cambodia. The Prevention of Domestic Violence and the Protection of Victims, the UNTAC Criminal Code, and the Law on Aggravating Circumstances of the Felonies protects women, including women who are married, from "rape, indecent assault and battery", all of which are classified as crimes.<ref>Forum Syd. 2008. "Country Analysis Cambodia." Stockholm, Sweden: Forum Syd. Retrieved 2011 (http://www.forumsyd.org/upload/Delade_dokument/Omv%C3%A4rldsanalyser/Cambodia_Country_Analysis_2008-08-22.pdf)</ref> However, it has been reported that "The strength of these laws is undermined by the lack of implementation within the domestic context and by the lack of sufficient efforts to assist and protect victims of domestic violence".<ref>Forum Syd. 2008. "Country Analysis Cambodia." Stockholm, Sweden: Forum Syd. Retrieved 2011 (http://www.forumsyd.org/upload/Delade_dokument/Omv%C3%A4rldsanalyser/Cambodia_Country_Analysis_2008-08-22.pdf)</ref>]] The law further states that marriages may not be extended by right to "a person whose penis is impotent...a person who has leprous, tuberculosis, cancer or venereal diseases which are not completely cured...a person who is insane, and a person who has mental defect...a person who was bound by prior marriage which is not yet dissolved...between persons who are relatives by blood or who are relatives by marriage in direct line of all levels, whether or not legitimate or adoptive" and "between the collateral, whether legitimate, illegitimate or adoptive, or whether from the same mother, the same father or the same parents, or whether relatives by blood or relatives by marriage up to the third level inclusively". <ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> The law also lists the legitimate circumstances under which marriages may be dissolved as well as the procedural requirements necessary for a new marriage to be recognized. Upon registration for a marriage, where parental consent from both parties is legally required, the "chief or member of the People's Committee of the Commune or Section Registrar Office" must post notice of the marriage at the brides house along with a required list of information.<ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> The registrar (administrative official) who performs the marriage must operate within the jurisdiction where the bride resides and therefore that is where the marriage will also most likely take place.<ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> Persons wishing to file a complaint against a marriage announcement are permitted to do so but must take action within ten days and sign their name to the petition they file.<ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> These provisions in Cambodian marriage law are indicative of the strong communal and family ties relevant to a given community and Cambodian society at large. There are ample legal channels provided for community as well as parental interference into the institution of marriage are valid and often necessary. Traditional arranged marriages are still recognized by the state though are primarily enforced socially through the family rather than legally through the state.<ref>Social Institutions & Gender Index. 2009. "Gender Equality and Social Institutions in Cambodia." Paris, France. Retrieved 2011 (http://genderindex.org/country/cambodia)</ref> Although western notions of the conditions under which marriage should take place would probably cringe at the idea of non-consensual arrangements, arranged marriages increasingly require the consent and input from both the bride and the groom.<ref>Social Institutions & Gender Index. 2009. "Gender Equality and Social Institutions in Cambodia." Paris, France. Retrieved 2011 (http://genderindex.org/country/cambodia)</ref> The relatively weak legal position of women within Cambodian society is a rather new occurrence in light of cultural customs that have historically guaranteed women a vital position within Cambodian institutions and access to the vital decision making processes.<ref>Social Institutions & Gender Index. 2009. "Gender Equality and Social Institutions in Cambodia." Paris, France. Retrieved 2011 (http://genderindex.org/country/cambodia)</ref> This tradition is reflected in the Assembly law which includes provisions concerning legal protections for women concerning forced marriages, their illegitimacy in the eyes of the state, and the correct process through which they may be annulled (although the filing of a complaint regarding a forced marriage must be filed within six months of the marriage ceremony).<ref>United Nations. 2011. "Cambodian Laws: Law on the Marriage and Family." New York, New York: United Nations Development Project. Retrieved 2011 (http://www.gocambodia.com/laws/law_marriage.asp)</ref> This guarantees women the stated right of consensual familial relations with the men that they enter into marriages with. However, their lack of access to resources may limit their ability to petition the government on their own behalf and exercise their full rights in accordance with the law. Under age girls still face the prospect of being married at the behest of their parents with a "2004 United Nations report" estimating "that 12 per cent of girls between 15 and 19 years of age were married, divorced or widowed".<ref>Social Institutions & Gender Index. 2009. "Gender Equality and Social Institutions in Cambodia." Paris, France. Retrieved 2011 (http://genderindex.org/country/cambodia)</ref> As regards children, women are granted equal participation in the raising of children, equal access to children in cases of divorce, and equal inheritance rights under the Assembly's Family Law.<ref>Social Institutions & Gender Index. 2009. "Gender Equality and Social Institutions in Cambodia." Paris, France. Retrieved 2011 (http://genderindex.org/country/cambodia)</ref> However, as stated by noted by Equality Now's document to the United Nations states, under current divorce laws requirements are set for reconciliation upon the filing for divorce with the grounds under which this may be filed in the first case limited to "desertion, spousal abuse, immoral behavior, impotence, and separation for more than one year".<ref>Equality Now. 1999. "Equality Now submission to the U.N. Human Rights Committee." New York, New York: Equality Now. Retrieved 2011(http://www.equalitynow.org/english/campaigns/un/unhrc_reports/unhrc_cambodia_en.pdf)</ref> Cambodia's family courts would undoubtedly progress under improved infrastructure, targeted campaigns propelling women into critical institutions such as the judiciary, and a mitigation of governmental corruption. Until these measures are undertaken the disproportionate amount of men holding influential positions within family courts will continue to negate human rights covenants, incorporated into the Cambodian constitution, dedicated to implementing gender equality.<ref>Forum Syd. 2008. "Country Analysis Cambodia." Stockholm, Sweden: Forum Syd. Retrieved 2011 (http://www.forumsyd.org/upload/Delade_dokument/Omv%C3%A4rldsanalyser/Cambodia_Country_Analysis_2008-08-22.pdf)</ref> ` ===Social Inequality=== [[File:Cambodia family.jpg|left|thumb|300px|'''Rural Flight''' Many of Cambodia's rural citizens are fleeing from the countryside to urban areas in search of wage-labor. Other rural residents are fleeing densely populated areas in search of land to clear and cultivate in less developed sections of the country. Approximately 31% of the population in 2004 were migrants with the population shift from rural to urban areas estimated at 243,000 individuals. Purported effects of such shifts include "agglomeration economies" (when urban capital creates networks where division of labor, labor surpluses and increased consumer markets produces larger profits for capital and poorer living conditions for labor) and the deterioration of rural social structures.<ref>United Nations. 2010. "Trends-Policies-Governance" Local Development Outlook: Cambodia, 2010. New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref>]]According to a report by the Center for Economic and Social Rights, although Cambodia has experienced a steady rise in GDP per capita since 1993 and a rapid decline in poverty (though this has slowed "since the 1998 elections") efforts to stymie social inequality and economic stratification within the country by the government have been wholly inadequate.<ref>Center for Economic and Social Rights. 2009. "Center for Economic and Social Rights: Cambodia." Madrid, Spain: Center for Economic and Social Rights. Retrieved May 3, 2011 (http://www.cesr.org/section.php?id=59) (http://www.cesr.org/downloads/cambodia%20WEB%20CESR%20FINAL.pdf)</ref> The report cites the fact that the Cambodian government's rate of social expenditure stands at a meager "3.5 percent of GDP, the smallest of all low-income countries".<ref>Center for Economic and Social Rights. 2009. "Center for Economic and Social Rights: Cambodia." Madrid, Spain: Center for Economic and Social Rights. Retrieved May 3, 2011 (http://www.cesr.org/section.php?id=59) (http://www.cesr.org/downloads/cambodia%20WEB%20CESR%20FINAL.pdf)</ref> Cambodia's population is predominately rural, standing somewhere around 80% (95% by some estimates) while only approximately 19% of Cambodia's citizens live in urban areas (9% of which are situated within Phnom Penh), yet only 16% of "the poorest Cambodians" own land while there are increasing tax burdens placed on the poor to make-up for revenue lost through exports.<ref>Center for Economic and Social Rights. 2009. "Center for Economic and Social Rights: Cambodia." Madrid, Spain: Center for Economic and Social Rights. Retrieved May 3, 2011 (http://www.cesr.org/section.php?id=59) (http://www.cesr.org/downloads/cambodia%20WEB%20CESR%20FINAL.pdf)</ref><ref>United Nations. 2010. "Trends-Policies-Governance" Local Development Outlook: Cambodia, 2010. New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> About 92% (3.7 million) of all poor persons in Cambodia live in rural areas with only 19% of rural dwellers having access to adequate sanitation facilities and only 10-20% of citizens living in three of Cambodians predominately rural provinces having access to safe drinking water.<ref>Center for Economic and Social Rights. 2009. "Center for Economic and Social Rights: Cambodia." Madrid, Spain: Center for Economic and Social Rights. Retrieved May 3, 2011 (http://www.cesr.org/section.php?id=59) (http://www.cesr.org/downloads/cambodia%20WEB%20CESR%20FINAL.pdf)</ref><ref>United Nations. 2010. "Trends-Policies-Governance" Local Development Outlook: Cambodia, 2010. New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> Disparities in education is marked not only by rural versus urban residences but also by gender; while 43% of men in Cambodia enroll in secondary school only 34% of women do the same.<ref>Center for Economic and Social Rights. 2009. "Center for Economic and Social Rights: Cambodia." Madrid, Spain: Center for Economic and Social Rights. Retrieved May 3, 2011 (http://www.cesr.org/section.php?id=59) (http://www.cesr.org/downloads/cambodia%20WEB%20CESR%20FINAL.pdf)</ref> State expenditure in the education sector has fallen in-between 2001 and 2004 from seven percent of GDP to 5.6%.<ref>Center for Economic and Social Rights. 2009. "Center for Economic and Social Rights: Cambodia." Madrid, Spain: Center for Economic and Social Rights. Retrieved May 3, 2011 (http://www.cesr.org/section.php?id=59) (http://www.cesr.org/downloads/cambodia%20WEB%20CESR%20FINAL.pdf)</ref> These inadequacies between rural and urban development seems to follow the development initiatives of the government; road infrastructure development is highly skewed toward urban areas along with garbage collection, electricity, health care and safety conditions (landmine clearing initiatives).<ref>Center for Economic and Social Rights. 2009. "Center for Economic and Social Rights: Cambodia." Madrid, Spain: Center for Economic and Social Rights. Retrieved May 3, 2011 (http://www.cesr.org/section.php?id=59) (http://www.cesr.org/downloads/cambodia%20WEB%20CESR%20FINAL.pdf)</ref><ref>United Nations. 2010. "Trends-Policies-Governance" Local Development Outlook: Cambodia, 2010. New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref> While the government continues to grant major subsidies to its military the everyday living conditions of rural and urban inhabitants alike remains inadequate. ===Human Rights=== [[File:Kraing Tbong VB 01 06 6.JPG|thumb|400px| '''Dissent and the State''' Many within Cambodia's elite sectors utilize the country's institutions to enrich themselves, often if not always at the expense of citizens. In 2010, according to Human Rights Watch, a CPP senator employed "Soldiers, military police, and courts" while illegally confiscating land from "800 families" in order to secure sugar concessions. Many who protest such actions are at the mercy of corrupt officials which in 2010 imprisoned at least sixty protesters in one such instance. Human Rights Watch reports that in 2010 approximately 17,000 people were forcibly evicted from their land in thirteen of Cambodia's twenty-four provinces.<ref>Human Rights Watch. 2011. "World Report 2011: Cambodia." New York, New York: Human Rights Watch. Retrieved May 2, 2011 (http://www.hrw.org/en/world-report-2011/cambodia)</ref>]]As noted in all previous entries, the Kingdom of Cambodia's weakest point is the implementation of the codified legal structures intended to protect the human rights of it's citizens. Rampant with corruption, torn between regional geo-politics, and lacking the infrastructure to adequately facilitate legal frameworks, the law of Cambodia is often times no more than rhetoric upon which it secures international legitimacy, monetary grants, military support, state power, and consolidation of resources that benefit elite sectors. This is undoubtedly due to the years of colonialism, war, destruction of infrastructure, dismantling of social networks, imperialism, and genocide that have fully eroded the structures of Cambodian society. The government functions as an oligarchy more than a representative democracy and does what it can to suppress action taken by state actors and popular civil society alike in asserting the legal rights granted to them by the constitution; the murder of dissidents, show trials, suppression of labor, structural violence directed at women, a bloated military budget government expropriation of lands, spending directed at consolidating business infrastructure while fully ignoring citizen's health issues , banning of media exposing or alleging the government corruption, and an over-reliance on incarceration as a means of punishment are all common ocuurences in Cambodia.<ref>Child, Ben. 2010. "Cambodian government suppressing film about murder, says director." Manchester, UK: The Guardian. Retrieved 2010 (http://www.guardian.co.uk/film/2010/jun/09/film-cambodia-who-killed-chea-vichea)</ref><ref>Socheata. 2010. "Treasury orders Mrs. Mu Sochua to pay her fine." Phnom Penh, Cambodia: KI-Media. Retrieved 2010 (http://ki-media.blogspot.com/2010/06/treasury-orders-mrs-mu-sochua-to-pay.html)</ref><ref>Karakos, Diana. 2010. "Workers in Cambodia Take to the Streets to Demand Higher Wages." Washington, DC: STITCH (The International Labor Rights Forum. Retrieved 2011 (http://laborrightsblog.typepad.com/international_labor_right/2010/09/workers-in-cambodia-take-to-the-streets-to-demand-higher-wages.html)</ref><ref>International Secretariat. 2010. "Cambodia: Ongoing Serious Human Rights Violations Must Be Addressed." London, UK: Amnesty International. Retrieved 2011 (http://www.amnesty.org/en/library/asset/ASA23/007/2010/en/883b2bfa-f902-41b7-bd63-b3638328373d/asa230072010en.pdf)</ref><ref> Parry, Mc. 2009. "Cambodia gives big boost to military budget." (Headquarters Unspecified): World Military Forum-Latest Military News. Retrieved 2010 (http://www.armybase.us/2009/10/cambodia-gives-big-boost-to-military-budget/)</ref><ref> United Nations. 2010. "Trends-Policies-Governance" Local Development Outlook: Cambodia, 2010. New York, New York: United Nations Capital Development Fund (UNCDF) Retrieved 2010 (http://www.uncdf.org/english/local_development/uploads/thematic/KHM_THEME_LD-OUTLOOK_0410_EN.pdf)</ref><ref>Cambodian League For the Promotion and Defense of Human Rights (LICADHO). 2010. "Beyond Capacity: Cambodia's Exploding Prison Population & Correctional Center 4." Phnom Penh, Cambodia: Cambodian League For the Promotion and Defense of Human Rights (LICADHO). Retrieved 2011 (http://www.licadho-cambodia.org/reports/files/142CC4%20Briefing%20Population-Final-ENG.pdf)</ref> Pailin Court President Pich Sarin was quoted by Human Rights Watch, commenting "If somebody kills a poisonous snake, are you angry with the killer?"<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: I. Summary and Recommendations." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996.htm#P41_1327)</ref> He was referring to the extrajudicial killings that took place of two alleged murderers.<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: I. Summary and Recommendations." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996.htm#P41_1327)</ref> They fact that they hadn't seen trial didn't and were summarily executed didn't seem to bother the administrator.<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: I. Summary and Recommendations." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996.htm#P41_1327)</ref> [[File:Monks at Angkor.jpg|left|thumb|400px| '''Protests a Deadly Business''' In 2007 Cambodian Buddhist monks gathered in front of the Vietnamese embassy in Phnom Penh to protest the mistreatment of the "Kampuchea Krom minority"; "ethnic Cambodians living in Vietnam." Attempting to deliver a petition to the embassy and staging a sit-down protest the 50 monks were met with beatings from the police who claimed they were trying to storm the building.<ref>De Launey, Guy. 2007. "Cambodia monks clash with police ." London, UK: British Broadcasting Service (BBC) News. Retrieved May 3, 2011. (http://news.bbc.co.uk/2/hi/asia-pacific/7147981.stm)</ref>]] The violations documented by H.R.W. also mention the following incidents: military officials with connections to a brothel beating a prostitute to death in front of witnesses and being only briefly detained before being released, the torture and murder of a sixteen year old by a provincial governor's bodyguards, soldiers executed torturing and murdering nine men in a field who are suspected of theft, and police officers failing to investigate the case of a man who shot and threw grenades into a crowd of villagers.<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: I. Summary and Recommendations." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996.htm#P41_1327)</ref> Included in a long list of structural factors creating the appropriate conditions for this environment including Article 51 of the Common Statutes on Civil Servants "which effectively grants impunity to police, military, gendarmerie, and civil servants who have committed criminal offenses" and the lack of laws regulating criminal and civil procedure, civil code, the statutes of magistrates, and the Ministry of Justice.<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: I. Summary and Recommendations." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996.htm#P41_1327)</ref> The military is also highly disorganized, suspect to manipulation by administration officials and business interests, and bloated with non-existent and illegitimate personal.<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: III. Causes of Impunity in Cambodia." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996-02.htm#P278_45184)</ref> An adviser to Hun Sen has claimed that there are an estimated "20,000 phantom soldiers whose pay goes to their commanding officers".<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: III. Causes of Impunity in Cambodia." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996-02.htm#P278_45184)</ref> A corrupt military, lack of judicial and police support, and reverberations still being felt from the global recession, violence is often used to settle disputes. There is no lack of ammunition, guns, or explosives on the Cambodian market to facilitate this process. Years of military conflict and a demobilization of the military has flooded the Cambodian market with cheap weaponry that is easily accessible.<ref>Adhoc, Licadho. 1999. "Impunity in Cambodia: How Human Rights Offenders Escape Justice: III. Causes of Impunity in Cambodia." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/legacy/reports/1999/cambo2/Cambo996-02.htm#P278_45184)</ref> This has the effect of putting police, who already have little concern for enforcing the law, to defer to force almost automatically when dealing with citizens and suspects. Cambodia's police are notorious for being highly corrupt. In 2010 H.R.W. interviewed over ninety Cambodian sex workers who overwhelmingly cited incidents were they were subject to police brutality including random beatings, rape, and threats if bribes were not provided.<ref>Pearson, Elaine. 2010. "Violence Against Cambodia's Sex Workers." New York, New York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/en/news/2010/12/01/violence-against-cambodia-s-sex-workers)</ref> Its no coincidence that citizens on the lowest rungs of the socioeconomic ladder are the most susceptible to abuse at the hands of authorities. Cambodia's drug addicts are routinely tortured in prison using "including being shocked with electric batons and whipped with twisted electrical wire".<ref>Human Rights Watch. 2010. "Skin on the Cable: The Illegal Arrest, Arbitrary Detention and Torture of People Who Use Drugs in Cambodia. I. Executive Summary." New York, New, York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/en/node/87682/section/4)</ref> Those who are poor lack the power to access to mechanisms that are manipulated through money. Prisoner's are often times forced to "donate their blood" and there is no doubt that the poor are profitable; the exploding prison population may highlight this sad reality.<ref>Human Rights Watch. 2010. "Skin on the Cable: The Illegal Arrest, Arbitrary Detention and Torture of People Who Use Drugs in Cambodia. I. Executive Summary." New York, New, York: Human Rights Watch. Retrieved 2011 (http://www.hrw.org/en/node/87682/section/4)</ref> ===Works Cited=== <references /> [[Category:Cambodia]] gw4uj3kx19e3x1tejkne3jedohjksht 0 104029 2844188 2836350 2026-11-03T11:59:44Z The Citer 3110681 Added categories! 2844188 wikitext text/x-wiki The tetrapods are a superclass of [[animals]] that are descended from a salamander-like amphibians. <ref> http://en.wikiversity.org/wiki/2.0_Hackolution#Transformers </ref> Living decendants of primordial tetrapods include [[mammals]], birds, reptiles and modern amphibians. <ref> http://species.wikimedia.org/wiki/Tetrapoda </ref> ==Phylogeny== {{clade| style=width:auto;font-size:100%;line-height:100% |label1='''Tetrapoda''' |1={{clade |1=stem tetrapods |state1=double |2={{clade |1={{clade |label1=Temnospondyli |1={{clade |1=basal temnospondyls |state1=double |label2=Dissorophoidea |2={{clade |1={{clade |1=†Amphibamidae [[File:Carnegie Institution of Washington publication (1902-) (19915735993).jpg|Carnegie_Institution_of_Washington_publication_(1902-)_(19915735993)|70x60px]] |2='''Frogs''' [[File:The tailless batrachians of Europe (Page 194) (Pelobates fuscus).jpg|45 px]] }} |2={{clade |1=†Branchiosauridae [[File:Branchiosaurus_BW.jpg|70 px]] |2='''Salamanders''' [[File:Salamandra salamandra (white background).jpg|70 px]] }} }} }} |2={{clade |label1=Lepospondyli |1={{clade |1=†Lysorophia [[File:Lysorophus.jpg|70 px]] |2={{clade |1=†Microsauria [[File:Hyloplesion.jpg|70 px]] |2='''Caecilians''' [[File:Syphonops annulatus cropped.jpg|70 px]] }} }} }} }} |2={{clade |label1=Reptiliomorpha |1={{clade |1=†Seymouriamorpha [[File:Karpinskiosaurus1DB.jpg|70 px]] |2={{clade |1= †Diadectomorpha [[File:Diadectes1DB (flipped).jpg|70 px]] |label2='''Amniota''' |2={{Clade |1=Sauropsida [[File:Blue_jay_in_PP_(30960).jpg|70x60px]] |2=Synapsida [[File:Dhole(Asiatic wild dog).jpg|Dhole(Asiatic_wild_dog)|60px]] }} }} }} }} }} }}}} ==References== <references/> [[Category:Eukaryote phylogeny]] [[Category:Animals]] [[Category:Zoology]] [[Category:Biology]] [[Category:Taxonomy]] 2ld7l6mgjvopab2k5p3xwhubn38ud2e 0 104030 2844253 2844187 2026-11-03T17:02:15Z ShakespeareFan00 6645 2844253 wikitext text/x-wiki <div class="thumb tleft" style="border: 1px solid #CCCCCC; margin:0.5em;"><table border=0><tr><td width=10><p> </p><td> {| class="wikitable" |- | colspan="5" align="center" style="color: black; background: #ccccff" | '''Orders of Mammals''' |- ! align="center" style="color: black; background: #ccccff" |Infraclass ! align="center" style="color: black; background: #ccccff" |Superorder ! align="center" style="color: black; background: #ccccff" |Order ! align="center" style="color: black; background: #ccccff" |Common Representatives |- ||Eutheria||Afrotheria|| Afrosoricida || golden moles |- ||Eutheria||Afrotheria|| Hyracoidea || hyraxes |- ||Eutheria||Afrotheria|| Macroscelidea || elephant shrews |- ||Eutheria||Afrotheria|| Sirenia || manatees |- ||Eutheria||Afrotheria|| Proboscidea || elephants |- ||Eutheria||Afrotheria|| Tubulidentata || aardvarks |- |||||||| |- ||Eutheria||Euarchontoglires|| Dermoptera || flying lemurs |- ||Eutheria||Euarchontoglires|| Lagomorpha || rabbits |- ||Eutheria||Euarchontoglires|| Primates || chimps |- ||Eutheria||Euarchontoglires|| [[/Rodentia/]] || mice |- ||Eutheria||Euarchontoglires|| Scandentia || tree shrews |- |||||||| |- ||Eutheria||Laurasiatheria|| Artiodactyla || pigs, goats, sheep, cows |- ||Eutheria||Laurasiatheria|| Carnivora || cats and dogs |- ||Eutheria||Laurasiatheria|| Cetacea || whales and dolphins |- ||Eutheria||Laurasiatheria|| Chiroptera || bats |- ||Eutheria||Laurasiatheria|| Erinaceomorpha || hedgehogs |- ||Eutheria||Laurasiatheria|| Perissodactyla || horses |- ||Eutheria||Laurasiatheria|| Pholidota || scaly anteaters |- ||Eutheria||Laurasiatheria|| Soricomorpha || white-toothed shrews |- |||||||| |- ||Eutheria||Xenarthra|| Cingulata || armadillos |- ||Eutheria||Xenarthra|| Pilosa || giant anteaters |- |||||||| |- |||||||| |- ||Marsupial||Ameridelphia|| Didelphimorphia || Virginia opossums |- ||Marsupial||Ameridelphia|| Paucituberculata || shrew opossums |- |||||||| |- ||Marsupial||Australidelphia|| Dasyuromorphia || Tasmanian devils |- ||Marsupial||Australidelphia|| Diprotodontia || kangaroos |- ||Marsupial||Australidelphia|| Microbiotheria || monito del monte |- ||Marsupial||Australidelphia|| Notoryctemorphia || marsupial moles |- ||Marsupial||Australidelphia|| Peramelemorphia || marsupial omnivores |- |}</td></tr></table></div> Mammals are a class of [[tetrapods]] that include [[camels]], chimpanzees, [[Felidae|cats]] and rats and elephants, goats and sheep, horses and cows. <ref> http://species.wikimedia.org/wiki/Mammalia </ref> The class of mammals can be divided into two main infraclasses: eutheria and the [[marsupials]]. ===EUTHERIA = the crown placental mammals=== Eutheria (Greek: "true beasts") is a group of mammals consisting of the first placental mammal and all of her decendants. The earliest known fossil eutherian, Eomaia, was found in Asia, and is dated to the Early Cretaceous period, about 125 million years ago. <ref> http://en.wikipedia.org/wiki/Eutheria </ref> Most placental mammals belong to one of four main superorders: Afrotheria, Euarchontoglires, Laurasiatheria, and Xenarthra. <div class="thumb tright" style="border: 1px solid #CCCCCC; margin:0.5em;"> {|border="0" cellpadding="2" cellspacing="0" |{{clade| style=font-size:90%;line-height:75% | label1=Eutheria <br> <br> | 1={{clade | label1=Boreoeutheria <br> <br> | 1={{clade | 1=Euarchontoglires [[File:Eastern_Cottontail.JPG|60px]] | 2=Laurasiatheria [[File:Asiatische-Goldkatze-Catopuma-temminckii-tier-katze-0001_2.JPG|60px]]}} | label2=Atlantogenata <br> <br> | 2={{clade | 1=Xenarthra [[File:Bicho-preguiça_3.jpg|60px]] | 2=Afrotheria [[File:African_Elephant_(Loxodonta_africana)_male_(17289351322).jpg|55x60px]]}} }} }} |} </div> Euarchontoglires + Laurasiatheria = Boreoeutheria and Xenarthra + Afrotheria = Atlantogenata. Xenarthra diverged from Afrotheria relatively rapidly after Atlantogenata diverged from Boreoeutheria. There was considerable gene flow among the nascent clades prior to their divergence. This made it difficult to resolve the above phylogenic tree until relatively recently. <ref> http://mbe.oxfordjournals.org/content/24/9/2059.short </ref> '''MARSUPIALS''' The seven living orders of marsupials are divided into two clades: Ameridelphia and Australidelphia. <ref> http://www.ncbi.nlm.nih.gov/pubmed/12878458 </ref> '''MONOTREMATA''' <div class="thumb tright" style="border: 1px solid #CCCCCC; margin:0.5em;"> {|border="0" cellpadding="2" cellspacing="0" |{{clade| style=font-size:90%;line-height:75% | label1= mammals <br> <br> | 1={{clade | label1= Theria <br> <br> | 1={{clade | 1= Eutheria [[File:Elaphurus_davidianus_001.jpg|60px]] | 2=Marsupials [[File:Koala_climbing_tree.jpg|60px]]}} | 2={{clade | 1= Monotremata [[File:Duck-billed_platypus_(Ornithorhynchus_anatinus)_Scottsdale.jpg|60px]] }} }} }} |} </div> Order [[monotremata]] = Subclass prototheria Eutheria + Marsupials = Subclass theria ==Phylogeny== {{Clade | style=font-size:90%;line-height:70% |label1='''Mammalia''' |1={{Clade |label1=Yinotheria |1={{clade |1=†Shuotheriidae [[File:Pseudotribos BW (flipped).jpg|60px|''Pseudotribos robustus'']] |label2=Australosphenida |2={{clade |1=†Ausktribosphenidae |2=†Bishopidae |3=†Henosferidae |label4=Monotremata |4={{clade |1=''Ornithorhynchus'' [[File:Genera mammalium Ornithorhynchus anatinus.jpg|50 px|''Ornithorhynchus anatinus'']] |label2=Tachyglossidae |sublabel2=(Echidna) |2={{clade |1=''Tachyglossus'' [[File:Tachyglossus aculeatus side on.jpg|60px|''Tachyglossus aculeatus'']] |label2=''Zaglossus'' |2={{clade |1=''Zaglossus attenboroughi'' [[File:Zaglossus attenboroughi Flannery.jpg|60px| ''Zaglossus attenboroughi'']] |2=''Zaglossus bruijnii'' [[File:Long-beakedEchidna.jpg|60px|''Zaglossus bruijnii'']] |3=''Zaglossus bartoni'' [[File:Zaglossus bartoni - MUSE.JPG|60px|''Zaglossus bartoni'']]}}}} }}}} }} |label2=Theria |2={{Clade |label1=Marsupialia |1={{Clade |1=Paucituberculata [[File:Phylogenetic tree of marsupials derived from retroposon data (Paucituberculata).png|50 px]] |2={{Clade |1=Didelphimorphia [[File:A hand-book to the marsupialia and monotremata (Plate XXXII) (white background).jpg|50 px]] |label2=Australidelphia |2={{Clade |1=Microbiotheria |label2=Eomarsupialia |2={{Clade |label1=Agreodontia |1={{Clade |1=Notoryctemorphia [[File:Phylogenetic tree of marsupials derived from retroposon data (Notoryctemorphia).png|50 px]] |2={{Clade |1=Peramelemorphia [[File:Phylogenetic tree of marsupials derived from retroposon data (Paramelemorphia).png|50 px]] |2=Dasyuromorphia [[File:Phylogenetic tree of marsupials derived from retroposon data (Dasyuromorphia).png|50 px]] }} }} |2=Diprotodontia [[File:A monograph of the Macropodidæ, or family of kangaroos (9398404841) white background.jpg|50 px|Macropodidae]] }} }} }} }} |label2=Placentalia |2={{Clade |label1=Atlantogenata |1={{Clade |label1=Xenarthra |1={{Clade |1=Cingulata [[File:Nine-banded-Armadillo white background.jpg|50 px|''Dasypus novemcinctus'']] |label2=Pilosa |2={{clade |1=Folivora [[File:Bradypus.jpg|50x50px]] |2=Vermilingua [[File:Natural history of the animal kingdom for the use of young people (Plate XV) (Myrmecophaga tridactyla).jpg|50 px|''Myrmecophaga tridactyla'']]}} }} |label2=Afrotheria |2={{Clade |label1=Paenungulata |1={{Clade |1=Hyracoidea [[File:DendrohyraxEminiSmit white background.jpg|50 px]] |label2=Tethytheria |2={{Clade |1=Sirenia [[File:Manatee white background.jpg|50 px|''Trichechus'']] |2=Proboscidea [[File:Indian elephant white background.jpg|50 px|''Elephas maximus'']] }} }} |label2=Afroinsectiphilia |2={{Clade |1=Tubulidentata [[File:Aardvark2 (PSF) colourised.png|50 px]] |label2=Afroinsectivora |2={{Clade |1=Macroscelidea [[File:Rhynchocyon chrysopygus-J Smit white background.jpg|50 px]] |2=Afrosoricida [[File:Potamogale velox illustration.jpg|50 px]] }} }} }} }} |label2=Boreoeutheria |2={{Clade |label1=Laurasiatheria |1={{Clade |1=Eulipotyphla [[File:Mole white background.jpg|50 px|Talpidae]] |label2=Scrotifera |2={{Clade |1=Chiroptera [[File:Vampire bat white background.jpg|50 px|Desmodontinae]] |label2=Ferungulata |2={{Clade |label1=Ferae |1={{clade |1=Pholidota [[File:FMIB 46859 Pangolin a grosse queue white background.jpeg|50 px|Manidae]] |2=Carnivora [[File:Cynailurus guttata - 1818-1842 - Print - Iconographia Zoologica - Special Collections University of Amsterdam - (white background).jpg|50px|''Acinonyx jubatus'']]}} |label2=Euungulata |2={{Clade |1=Perissodactyla [[File:Equus quagga (white background).jpg|50 px|''Equus quagga'']] |2=Artiodactyla [[File:Walia ibex illustration white background.png|50 px|''Capra walie'']] }} }} }} }} |label2=Euarchontoglires |2={{Clade |1={{Clade |label1=Glires |1={{Clade |1=Lagomorpha [[File:Bruno Liljefors - Hare studies 1885 white background.jpg|50 px|''Lepus'']] |2=Rodentia [[File:Ruskea rotta.png|50 px|''Rattus'']] }} }} |label2=Euarchonta |2={{Clade |1=Scandentia [[File:Die Säugthiere in Abbildungen nach der Natur, mit Beschreibungen (Plate 34) (white background).jpg|50 px]] |label2=Primatomorpha |2={{Clade |1=Dermoptera [[File:Cynocephalus volans Brehm1883 (white background).jpg|50 px]] |2=Primates [[File:Die Säugthiere in Abbildungen nach der Natur, mit Beschreibungen (Plate 8) (white background).jpg|50 px|''Cebus olivaceus'']] }} }} }} }} }} }} }} }} ==References== <references/> [[Category:Eukaryote phylogeny]] [[Category:Animals]] [[Category:Zoology]] [[Category:Biology]] [[Category:Taxonomy]] gh5jwqspytt6bzuho465olrzzwvy6im 0 121359 2844290 2843993 2026-11-03T19:32:36Z Young1lim 21186 /* Basic Features of VHDL */ 2844290 wikitext text/x-wiki <!----------------------------------------------------------------------> == Flip Flop and Latch == * FFLatch.Overview.1.A ([[Media:FFLatch.Overview.1.A.20111103.pdf|pdf]]) * Counter.74LS193.1.A ([[Media:Counter.74LS193.1.A.20111108.pdf|pdf]]) * Clock.Overview.1.A ([[Media:Clock.Overview.1.A.20111108.pdf|pdf]]) * Function.Overview.1.A ([[Media:Function.Overview.1.A.20111201.pdf|pdf]]) <br> == Versions of VHDL == * VHDL Versions ([[Media:VHDL.1.A.Versions.20120619.pdf|pdf]]) * VHDL Libraries ([[Media:VHDL.1.A.Libraries.20140219.pdf|pdf]]) <br> == Basic Features of VHDL == ==== Data ==== * Data Objects ([[Media:Data.Object.1A.20261103.pdf|A]], [[Media:Data.Object.1B.20260602.pdf|B]]) * Data Types ([[Media:Data.Type.2A.20260602.pdf|A]], [[Media:Data.Type.2B.20260602.pdf|B]]) * Packages ([[Media:Data.Package.3A.20251206.pdf|pdf]]) * Signal Types ([[Media:Signal.Type.1A.20250614.pdf|pdf]]) * Attributes ([[Media:Data.4.A.Attribute.20251021.pdf|pdf]]) <br> ==== Signals & Variables ==== * Signals & Variables ([[Media:Signal.1A.SigVar.20250614.pdf|pdf]]) * Sequential Signal Assignments ([[Media:Signal.4A.Sequential.20250612.pdf|pdf]]) * Concurrent & Sequential Signal Assignments ([[Media:Signal.1.A.ConSeq.20120611.pdf|pdf]]) * Inertial & Transport Delay Models ([[Media:Signal.2.A.InertTrans.20120704.pdf|pdf]]) * Simulation & Synthesis ([[Media:Signal.3.A.SimSyn.20120504.pdf|pdf]]) <br> ==== Structure ==== * Component ([[Media:Struct.1.A.Component.20120804.pdf|pdf]]) * Configuration ([[Media:Struct.1.A.Configuration.20121003.pdf|pdf]]) * Generic ([[Media:Struct.1.A.Generic.20120802.pdf|pdf]]) </br> ==== Entity and Architecture ==== <br> ==== Block Statement ==== <br> ==== Process Statement ==== <br> ==== Operators ==== <br> ==== Assignment Statement ==== <br> ==== Concurrent Statement ==== <br> ==== Sequential Control Statement ==== <br> ==== Function ==== * Function.1.A Usage ([[Media:Function.1.A.Usage.20120611.pdf|pdf]]) * Function.2.A Conversion Function ([[Media:Function.2.A.Conversion.pdf|pdf]]) * Function.3.A Resolution Function ([[Media:Function.3.A.Resolution.pdf|pdf]]) <br> ==== Procedure ==== <br> ==== Package ==== </br> go to [ [[Electrical_%26_Computer_Engineering_Studies]] ] [[Category:VHDL]] [[Category:FPGA]] eiv0m7ihhy2lt9t4pleildkhybhh5tb 0 124434 2844255 2843296 2026-11-03T17:03:01Z ShakespeareFan00 6645 2844255 wikitext text/x-wiki [[File:Vieja melanura - Karlsruhe Zoo 01.jpg|thumb|300px|''Vieja melanura'' is an Actinopterygian fish.]] '''Fishes''' are animals that live in the water. All fishes are '''vertebrates''' and have a spinal column made of either '''cartilage''' or '''bone'''. Fishes breathe in the water through structures called '''gills''', which are located on either side of the head. Gills act as the "lungs" of fishes. Gills are fine structures with lots of tiny blood vessels, called '''capillaries''', close to their surface. From these capillaries fish take in '''oxygen''', and release '''carbon dioxide''' and other waste products when water passes over them. Fishes have a simple two-chambered '''heart''' with one '''atrium''' and one '''ventricle'''. Blood is pumped from the heart to the gills. In addition to gills, some fishes can take in oxygen from the air. These include lungfishes, gouramies and bettas, and some catfishes. They may swallow air and take in oxygen through their '''intestines''' (catfishes), or have specialized organs that are similar but no the same thing as our lungs. Most fishes are covered in protective '''scales'''. These are different than the scales of reptiles and birds. Fish scales actually grow inside the skin of the fish, while reptile and bird scales grow on the surface of the skin. Most fishes are '''ectothermic''', meaning they rely on the environment around them for their body temperature. Some fishes like tuna are '''endothermic''', and produce their own internal body heat. ==Species of Fish== There are over '''30,000 known living species of fish'''. Some commonly known species of fish include: *Anchovy *Clownfish *Salmon *Sharks *goldfish *guppies and many others. ==Fish-Human Relationships== Fish and humans have been interacting for many thousands of years. The scientific study of fishes is called '''ichthyology''', and a scientist that studies fishes is called an '''ichthyologist'''. Fish are a very important food source for humans. In many times and locations, fish have provided the majority of the animal '''protein''' that people have access to. Fish have been kept in '''captivity''' by humans for several thousand years. They have mostly been kept as a ready supply of food. In the last few hundred years, fish have also been kept as '''ornamental''' pets. Goldfish, the first fish known to have been kept for ornamental purposes, have been kept and bred for their beauty in China for about 1000 years. '''Angling''', or fishing, has been practiced as a '''recreational sport''' for about 500 years, though no one is certain how it developed from a technique solely for collecting food into the funs sport it has become in many parts of the world today. With human population growth, in some places more fish have been captured for food than wild '''populations''' can replace. Some species of food fish are '''threatened''' or in danger of '''extinction'''. == Fish vs. Fishes == In English, the word "fish" is properly used to refer to one individual fish, or many of the same kind of fish. For example, a salmon is a fish, and salmon are fish. The word "fishes" refers to a group of fish of more than one species. For example, salmon and anchovies are fishes, and a group of salmon and anchovies are fishes. ==Taxonomy== Fish as a group do not form a clade: they are a paraphyletic grouping. ===Traditionally Included Taxa=== *†Anaspidomorphi *†Conodonts? *†Galeaspida *†Osteostraci *†Pituriaspida *†Pteraspidomorphi *†Thelodonts *Cyclostomi *Jawed fish (Gnathostomata) **†Placoderms **True jawed fish (Eugnathostomata) ***Pan-Chondrichthyes ****†Acanthodii ****Chondrichthyes ***Osteichthyes ****†''Andreolepis'' ****†''Dialipina'' ****†''Eosteus'' ****†''Ligulalepis'' ****†''Lophosteus'' ****Actinopterygii ****Sarcopterygii *****†''Megamastax'' *****†Psarolepids? ******†''Guiyu'' ******†''Sparalepis'' ******†''Psarolepis'' ******†''Achoania'' *****Actinistia *****†Onychodontiformes *****Rhipidistia ******Dipnomorpha (Lung fishes) ===Traditionally Excluded Taxa=== *[[Mammals/Tetrapods|Tetrapoda]] ==Phylogeny== {{clade|style=font-size:85%;line-height:85%; |label1='''All organisms that are called fish''' |sublabel1=(Vertebrates) |1={{clade |label1=Cyclostomi |1=[[File:Nejonöga, Iduns kokbok.jpg|90 px]] |label2=Gnathostomata |sublabel2=(jawed) |2={{clade |label1=Chondrichthyes |sublabel1=(cartilaginous) |1=<span style="{{MirrorH}}">[[File:White shark (Duane Raver).png|75px]]</span> |label2=Osteichthyes |sublabel2=(bony fishes) |2={{clade |1={{clade |label1=Actinopterygii |sublabel1=(ray-fins) |1=[[File:Common carp (white background).jpg|70px]] |label2=Sarcopterygii |sublabel2=(lobe-fins) |2={{clade <!--|label1=Actinistia--> |1=Coelacanths [[File:Coelacanth flipped.png|70px]] |label2=Rhipidistia |2={{clade |1=Lungfishes [[File:Barramunda coloured.jpg|75px]] |2=[[Mammals/Tetrapods|Tetrapod]]a [[File:Natural history of the animal kingdom for the use of young people (Plate XV) (Myrmecophaga tridactyla).jpg|75px]]}}}}}}}}}}}}}} == See Also == * [[Aquaria]] - Includes additional fish species descriptions and how to care for them. == External Resources == *[http://www.fishbase.org/search.php FishBase] with information on almost every known species of fish. *[https://www.environmentalscience.org/career/ichthyologist How to become an ichthyologist] with information on how to have a career working with fishes. *[https://en.wikipedia.org/wiki/Fish Fish] on Wikipedia. {{science}} {{article}} [[Category:Animals]] [[Category:Zoology]] [[Category:Ichthyology]] [[Category:Fish]] [[Category:Biology]] leeaqrevx7duzftdu7del7rsr75amxs 1 159077 2844358 2843368 2026-11-03T23:33:02Z OhanaUnited 18921 /* Wikimuseum */ Reply 2844358 wikitext text/x-wiki [[Category:WikiJournal]] {{WikiJournal_discussions}} {{Archive box| [[/Archive 2014–2016|2014–2016]] <br>[[/Archive 2016 naming vote|2016 naming vote]] <br>[[/Archive 2017|2017]] <br>[[/Archive 2018|2018]] <br>[[/Archive 2019|2019]] <br>[[/Archive 2020|2020]] <br>[[/Archive 2021|2021]] <br>[[/Archive 2022|2022]] <br>[[/Archive 2023-2025|2022-2025]] Discussions may also take place at the <br>'''[https://lists.wikimedia.org/pipermail/wikijournal-en/ public mailing list]'' ([https://lists.wikimedia.org/mailman/listinfo/wikijournal-en Join]) }} {{TOClimit|limit=3}} == [[Wikipedia:WikiJournal article nominations]] is dead == Hello, I wanted to get in touch with you about a part of this process. The submissions board at [[en:Wikipedia:WP:WikiJournal article nominations|WikiJournal article nominations]] is no longer being maintained. [[User:Evolution and evolvability|Evolution and evolvability]] has been inactive since November 2023 and has not responded to multiple attempts of mine to get in touch with him. I submitted an article there more than 4 months ago and have not even received confirmation of its submission. I notice the previous section on the status of the WikiJournals, and I must say that I am also disheartened by my attempt to contribute. I hope that someone on this end of the process will come over to English Wikipedia and fill in this gap so that the article pipeline is no longer so flawed. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 16:12, 29 March 2024 (UTC) :Hi [[User:Fritzmann2002|Fritzmann2002]], thanks for pointing it out, I'm actually in the same situation (article submitted in April 2025). :I saw however that your submitted article has now a preprint page, and, according to the history, it was created by yourself. Did you obtain a permission from the editors for doing so, or can actually any user create directly a preprint page for their submissions? I didn't even tried myself, because it was never clear to me who is actually responsible for converting nominated Wikipedia articles into Wikijournal preprints. I have also explicitly asked the editors, but I have not obtained any reply so far... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:53, 2 September 2025 (UTC) :As long as everything is subordinated to Wikipedia, projects of this type cannot be a trustworthy partner. Yes, WikiJournal would be a great project that could exist on its own, but unfortunately it is not. You want to publish, you find WikiJournal, you write an article and hey, they don't accept articles of this type because it doesn't suit Wikipedia. So at the moment if it is publishable on Wikipedia, publish it directly on Wikipedia, if you need to publish in an article you are out of luck. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 06:42, 3 September 2025 (UTC) ::Sorry, I think we are talking about different problems. The page [[wikipedia:WikiJournal_article_nominations|WikiJournal article nominations]] deals precisely with articles already present on Wikipedia, so this is not the issue. The articles that we were mentioning above have been already written on Wikipedia first, so it's not a matter of not being accepted because they don't suit Wikipedia, but simply of not being converted (yet) into a WikiJournal preprint, which in turn (after passing the peer-review phase) would to a publication in a WikiJournal. ::I had already published an article with this procedure a couple of years ago and everything went smoothly, so I don't see an intrinsic problem in the system, just in this first stage, which requires some manual conversion from Wikipedia to Wikiversity (as I said, I would be willing to do it myself, but I'm not sure if it is allowed). [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 15:40, 3 September 2025 (UTC) :::I see. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 04:42, 4 September 2025 (UTC) :::Yes, this is the issue. The point-man for that part of the process has gone inactive, and now it just isn't done. There needs to be some redundancy in this journal, so that if a volunteer (understandably) can't fulfill their role for an extended period of time there is someone else to step in. As of right now it seems there are several points in the process where a submitted article can just run out steam, through no fault of the author. Nobody wants to be ushering a written piece of work through review for years on end. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 23:36, 17 September 2025 (UTC) ::::Yes, I agree. But then, just to be clear, how was the issue solved for your article [[WikiJournal Preprints/Hypericum sechmenii|Hypericum sechmenii]]? From the history page it seems that you did create the preprint yourself. Is it allowed? Did an editor give you permission to do it? [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 10:11, 18 September 2025 (UTC) :::::Hello everyone, :::::I'm submitting an article that I entirely revamped on Wikipedia ([[w:Pentagram map]]). I filled the form [https://docs.google.com/forms/d/e/1FAIpQLSf-Nu7hjiTeJ5uQ5ozMOIivWZjeyJCPLwAUOuNDP1MVKUbCSQ/viewform WikiJournal submission form]. What should I do now ? @[[User:Francesco Cattafi|Francesco Cattafi]], I see that for [[WikiJournal Preprints/Diffeology]], you created it yourself. Should I do the same ? Did you get any reply ? :::::It's quite saddening to see that a nice project like the WikiJournal seems to be going down... At least from what I can read here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 15:13, 8 December 2025 (UTC) ::::::Hi @[[User:Regliste|Regliste]], I was in doubt what to do, but eventually I got the explicit permission from @[[User:Marshallsumter|Marshallsumter]] to create the preprint page myself (see also the related discussion on [[w:User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints]]). However, since then I haven't received any further reply (see also my question at [[User_talk:OhanaUnited#WikiJournal_article_nominations]]) and the review process hasn't started at all. ::::::I guess therefore that you could probably do the same and create manually the preprint page - at worst it will be modified later by an editor. ::::::As you say, it is indeed quite sad that the WikiJournal project seems to have slowed down/stopped; I still hope that the trend will revert at a certain point... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:04, 11 December 2025 (UTC) :::::::Thanks a lot for your answer... I dearly hope that it will get back on its feet. I'll try to send some mails too, if anything comes up I'll notice it here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 21:03, 13 December 2025 (UTC) ::::::::Indeed, there's a long backlog in this process. I added to the top of the nomination page in Wikipedia ''"There is currently a '''long backlog''' of articles in WikiJournal. Please consider contributing as associate editor in order to help coordinate peer reviews for current submissions. See [[WikiJournal User Group/Editorial guidelines|WikiJournal editorial guidelines]]''". [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:46, 10 September 2026 (UTC) :::::::::In my case, it worked ! See [[WikiJournal Preprints/Pentagram map]]. The peer-reviewing is over, I'm just waiting for the publication. The overall process took long, but it's understandable given the lack of associate editors. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:27, 11 September 2026 (UTC) == Discover CapX: New Design, Features, and Ways to Connect == Hello {{PAGENAME}}! My name is [[User:AJurno (WMB)|Amanda Jurno]] and I’m writing to you on behalf of the [[m:Capacity Exchange|Capacity Exchange (CapX) team]]. We would like to invite you and your community to start using the [[toolforge:capx|CapX tool]]. [[File:GIF of CapX features - November 2025 - Let's Connect.gif|right|thumb|300px]] CapX is a platform designed for Wikimedians around the world to connect through skills and collaboration. It offers a simple and user-friendly way to find and engage with people who can offer specific expertise, helping make collaboration across the movement more efficient and accessible. If you’d like a clearer sense of where we’re headed, you can read more about our ''Vision and Purpose [[:File:Capacity Exchange's Vision & Purpose.pdf|here]]'''. We’ve also prepared a simple visualisation of [[:File:What is the Capacity Exchange 01.pdf|how CapX works]]. Additional documentation, FAQs, tutorials, and how-to videos are available on our [[m:Capacity Exchange|Meta-Wiki page]]. The more your community joins CapX, the clearer your view becomes of how capacity-building is growing across your region via the [[toolforge:capx/data_analytics_dashboard|CapX's Data Analytics dashboard]]. If you experience any difficulties using the tool, you can consult our [[m:Capacity Exchange/User Guide|User Guide]], which includes step-by-step tutorials and short videos explaining each feature. To get in touch with the CapX team, share feedback, or suggest improvements, feel free to email us at capx@wmnobrasil.org. For quick questions and updates, you can also join our [https://t.me/CapacityExchange Telegram channel]. '''We would be delighted to have {{PAGENAME}} join CapX’s growing network'''. Creating your organization profile only takes a few minutes and helps other affiliates discover your expertise, initiatives, and potential areas for collaboration. [[:File:CapX - Create an Organizational profile.png|Here is what we need from you before you can start]]. Finally, we invite you to subscribe to our newsletter channel to receive regular updates about CapX and the Capacity Exchange project - [[m:Capacity Exchange/Newsletter|click here to subscribe]]. We hope to see you exchanging soon! Sincerely, [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 01:37, 31 March 2026 (UTC) :I am setting up an individual profile. I noticed that "Wikiversity" is not a Capacity that can be listed (but "Wikipedia" is a capacity). Could Wikiversity be added? :https://capx.toolforge.org/profile/Jtneill -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 11:27, 31 March 2026 (UTC) : ping [[User:AJurno (WMB)|AJurno (WMB)]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 10:34, 24 May 2026 (UTC) ::Hello @[[User|Jtneill]], thank you for pinging me! I hadn’t seen your reply. Thank you so much for letting me know that — I was sure Wikiversity was already listed as a skill, but it actually wasn’t. I’m adding it now. Please feel free to contact me again anytime, despite my long absence hehehehe [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 17:27, 26 May 2026 (UTC) == Towards Wikiversity's Ethics policy == I think you might be interested [[Wikiversity:Colloquium#Towards an Ethics policy|in this]] and you could also add interesting perspectives from ethics of scientifical research. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 08:02, 9 June 2026 (UTC) == Call for interest: Administrative Officer == WikiJournal is seeking expressions of interest in a new part-time, paid '''Administrative Officer''' position. We are initially sharing this opportunity within the WikiJournal community because familiarity with WikiJournal, Wikimedia, open licensing or academic publishing would be particularly valuable. The Administrative Officer would support WikiJournal's day-to-day organizational work, including: * Setting up and administering a system for tracking contractor hours and issuing payments. * Coordinating the contracting, onboarding, timekeeping and payment of technical editors and other contractors. * Maintaining financial, contractor and administrative records. * Assisting with grant administration, budget tracking and reporting. * Following up on board action items, deadlines and recurring obligations. * Supporting recruitment and other operational tasks as needed. The position is a remote, flexibly scheduled contractor role averaging approximately '''6 hours per week'''. Compensation is proposed at '''US$25 per hour''', with up to approximately '''320 hours (US$8,000) available over the year'''. Workload may vary depending on contracting, reporting and grant-related deadlines. Applicants may be based internationally, although appointment will depend on WikiJournal being able to establish a practical and legally appropriate contracting and payment arrangement in the applicant's country of residence. The complete responsibilities, administrative arrangements and desirable experience are described on the [[WikiJournal User Group/Administrative officer|Administrative Officer role page]]. Useful experience may include administrative organization, bookkeeping or financial administration, contractor or personnel coordination, nonprofit or grant administration, Wikimedia participation, academic publishing, and open-access work. Applicants are not expected to have experience in every listed area. === Expressions of interest === If you're interested, please make an entry below by '''30 September 2026''' with: * A concise description of relevant experience. * Their connection to WikiJournal or related communities, if any. * Their general availability. Expressions of interest received after this date may still be considered if the position has not yet been filled. Recommendations of other potentially suitable candidates are also welcome. Shortlisted applicants may be invited to an informal interview with several WikiJournal participants. Final selection will be made by consensus of the WikiJournal Administrative Board. [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:22, 10 September 2026 (UTC) *I'm interested in the work. I currently work in an administrative executive position and have worked remotely and asychronously for a decade. I have been editing Wikimedia projects for over 20&nbsp;years, including highly advanced user rights (CheckUser on Wikispecies) that has required my personal identification to the Wikimedia Foundation. I have also done grant application/administration/management for about a decade and have been a co-author on several technical reports (see, e.g. my listed publications at [[:s:en:Author:Justin Anthony Knapp]]), with the successful completion of over $10&nbsp;million in grant funding. I have also done some organizing and administrative work. I have not done payroll and personnel management work, but am willing to learn and think that I can pick up these skills with training. I'm looking forward to hearing from you and can provide a proper CV or cover letter as required. ―[[User:Koavf|Justin (<span style="color:grey">ko'''a'''<span style="color:black">v</span>f</span>)]]<span style="color:red">❤[[User talk:Koavf|T]]☮[[Special:Contributions/Koavf|C]]☺[[Special:Emailuser/Koavf|M]]☯</span> 18:36, 13 September 2026 (UTC) *&nbsp; == Problem with accessing .docx formatting template == Hello everyone, I wrote the [[WikiJournal Preprints/Pentagram map]], the peer-reviewing is over and I'm waiting for publication. In the meantime, I checked the [[WikiJournal_User_Group/Editorial guidelines#Creation of PDF files|procedure for PDF file creation]] (which I'll have to do). I have two questions: # The format is .docx, so using Microsoft Word is mandatory. This is quite annoying since it is a proprietary software (in contradiction with wikimedia philosophy), and it is not free. I don't have it, and I'll have to find a solution. # By clicking on the link to access [https://drive.google.com/file/d/0B4LQzkvkbO9YV1lSQnRCV1ppYUE/view?usp=sharing WikiJSci template], I arrive on a Google drive (I'm not a fan this corporation neither) which asks me to identify. For one I don't see why I should, but still I have an account (not everyone does). When I connect I get an "Access denied", saying that I might receive an email from the drive owner to get the permission... I'm quite enthusiast of the whole WikiJournal project, but this bit frustrates me. I understand it might be a little work to fix 1, taking the time to migrate the template to [[w:LibreOffice|LibreOffice]] (shouldn't be impossible, I'm even up for helping). But 2 is really malfunctioning. Could something be done to fix it ? I'm sorry if I sound harsh. I still want to thank the few people maintaining the project, which is great overall. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 20:50, 12 September 2026 (UTC) :@[[User:Regliste|Regliste]] #1 is very tricky to migrate as integrating authors, affiliations, wide tables, figures, references all into one document while maintaining the professional look & feel. While LaTeX is often used in some fields, we try to remain compatible with as many scientific fields under our journal's scope. But we're always welcome for volunteers to make our templates usable by different audiences. As for #2, this is restricted because we don't want the article template to be floating around freely. Imagine if Springer's article template is freely accessible online, what would happen? People can create their unpublished paper and put it into the template to masquerade as a published article. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:12, 29 October 2026 (UTC) ::Thanks for your reply @[[User:OhanaUnited|OhanaUnited]]. ::# I understand why the template is not LaTeX but in some more broadly used typesetting software. However, Microsoft Word is still a proprietary software, which I don't have, and I still don't understand why not using a mainstream free software alternative like LibreOffice.<br> I can easily adapt the formatting template of MSWord into [[W:Typst|Typst]]. This is an open source and easy to handle alternative to LaTeX. Would the project be interested? I would need the MSWord template but then it won't take me long. ::# Thanks for the explanation, I wasn't aware of the risk. But how do I access it then? I was confused by what is written [[WikiJournal User Group/Editorial guidelines#Creation of PDF files|here]], as it seems that the files are freely available. Also, why using Google services, which requires login? It still is a proprietary software, and there are free alternatives. ::Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 09:53, 30 October 2026 (UTC) == [[:m:Wikimuseum ~ Art|Wikimuseum]] == Hello, I would like to share a proposal with you that involves the frequent use of scientific articles. I would therefore like to request the option of seeking a review from WikiJournal should a disagreement get out of hand. Using Google Translate from Spanish Atte: [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 04:51, 9 October 2026 (UTC) :Your message lacks details. Can you be specific about what you are seeking help from us for? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:18, 29 October 2026 (UTC) ::Hello, I hope you are doing well. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:14, 29 October 2026 (UTC) ::[[:m:Wikimuseum_~_Art|Wikimuseum]] will require the assistance of WikiJournal, as it will rely—to a significant extent—on scientific papers to develop its emotion-based guides, particularly those linked to the WikiJournal of PPB. Consequently, in instances of editorial conflict that lack a long-term resolution, or when knowledge gaps are identified, we will request that WikiJournal conduct peer-reviewed scientific research. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:18, 29 October 2026 (UTC) :::Thanks for clarifying. WikiJournal of PPB is still in the development phase and there's no firm date on launch. In the interim you can use existing peer-reviewed articles (ideally indexed by reputable services like Scopus, Web of Science, etc.) [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 23:33, 3 November 2026 (UTC) 4mhgga28ykp8rjx81aa5qj94m36d4gg 2844364 2844358 2026-11-04T00:12:37Z OhanaUnited 18921 /* Problem with accessing .docx formatting template */ Reply 2844364 wikitext text/x-wiki [[Category:WikiJournal]] {{WikiJournal_discussions}} {{Archive box| [[/Archive 2014–2016|2014–2016]] <br>[[/Archive 2016 naming vote|2016 naming vote]] <br>[[/Archive 2017|2017]] <br>[[/Archive 2018|2018]] <br>[[/Archive 2019|2019]] <br>[[/Archive 2020|2020]] <br>[[/Archive 2021|2021]] <br>[[/Archive 2022|2022]] <br>[[/Archive 2023-2025|2022-2025]] Discussions may also take place at the <br>'''[https://lists.wikimedia.org/pipermail/wikijournal-en/ public mailing list]'' ([https://lists.wikimedia.org/mailman/listinfo/wikijournal-en Join]) }} {{TOClimit|limit=3}} == [[Wikipedia:WikiJournal article nominations]] is dead == Hello, I wanted to get in touch with you about a part of this process. The submissions board at [[en:Wikipedia:WP:WikiJournal article nominations|WikiJournal article nominations]] is no longer being maintained. [[User:Evolution and evolvability|Evolution and evolvability]] has been inactive since November 2023 and has not responded to multiple attempts of mine to get in touch with him. I submitted an article there more than 4 months ago and have not even received confirmation of its submission. I notice the previous section on the status of the WikiJournals, and I must say that I am also disheartened by my attempt to contribute. I hope that someone on this end of the process will come over to English Wikipedia and fill in this gap so that the article pipeline is no longer so flawed. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 16:12, 29 March 2024 (UTC) :Hi [[User:Fritzmann2002|Fritzmann2002]], thanks for pointing it out, I'm actually in the same situation (article submitted in April 2025). :I saw however that your submitted article has now a preprint page, and, according to the history, it was created by yourself. Did you obtain a permission from the editors for doing so, or can actually any user create directly a preprint page for their submissions? I didn't even tried myself, because it was never clear to me who is actually responsible for converting nominated Wikipedia articles into Wikijournal preprints. I have also explicitly asked the editors, but I have not obtained any reply so far... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:53, 2 September 2025 (UTC) :As long as everything is subordinated to Wikipedia, projects of this type cannot be a trustworthy partner. Yes, WikiJournal would be a great project that could exist on its own, but unfortunately it is not. You want to publish, you find WikiJournal, you write an article and hey, they don't accept articles of this type because it doesn't suit Wikipedia. So at the moment if it is publishable on Wikipedia, publish it directly on Wikipedia, if you need to publish in an article you are out of luck. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 06:42, 3 September 2025 (UTC) ::Sorry, I think we are talking about different problems. The page [[wikipedia:WikiJournal_article_nominations|WikiJournal article nominations]] deals precisely with articles already present on Wikipedia, so this is not the issue. The articles that we were mentioning above have been already written on Wikipedia first, so it's not a matter of not being accepted because they don't suit Wikipedia, but simply of not being converted (yet) into a WikiJournal preprint, which in turn (after passing the peer-review phase) would to a publication in a WikiJournal. ::I had already published an article with this procedure a couple of years ago and everything went smoothly, so I don't see an intrinsic problem in the system, just in this first stage, which requires some manual conversion from Wikipedia to Wikiversity (as I said, I would be willing to do it myself, but I'm not sure if it is allowed). [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 15:40, 3 September 2025 (UTC) :::I see. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 04:42, 4 September 2025 (UTC) :::Yes, this is the issue. The point-man for that part of the process has gone inactive, and now it just isn't done. There needs to be some redundancy in this journal, so that if a volunteer (understandably) can't fulfill their role for an extended period of time there is someone else to step in. As of right now it seems there are several points in the process where a submitted article can just run out steam, through no fault of the author. Nobody wants to be ushering a written piece of work through review for years on end. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 23:36, 17 September 2025 (UTC) ::::Yes, I agree. But then, just to be clear, how was the issue solved for your article [[WikiJournal Preprints/Hypericum sechmenii|Hypericum sechmenii]]? From the history page it seems that you did create the preprint yourself. Is it allowed? Did an editor give you permission to do it? [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 10:11, 18 September 2025 (UTC) :::::Hello everyone, :::::I'm submitting an article that I entirely revamped on Wikipedia ([[w:Pentagram map]]). I filled the form [https://docs.google.com/forms/d/e/1FAIpQLSf-Nu7hjiTeJ5uQ5ozMOIivWZjeyJCPLwAUOuNDP1MVKUbCSQ/viewform WikiJournal submission form]. What should I do now ? @[[User:Francesco Cattafi|Francesco Cattafi]], I see that for [[WikiJournal Preprints/Diffeology]], you created it yourself. Should I do the same ? Did you get any reply ? :::::It's quite saddening to see that a nice project like the WikiJournal seems to be going down... At least from what I can read here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 15:13, 8 December 2025 (UTC) ::::::Hi @[[User:Regliste|Regliste]], I was in doubt what to do, but eventually I got the explicit permission from @[[User:Marshallsumter|Marshallsumter]] to create the preprint page myself (see also the related discussion on [[w:User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints]]). However, since then I haven't received any further reply (see also my question at [[User_talk:OhanaUnited#WikiJournal_article_nominations]]) and the review process hasn't started at all. ::::::I guess therefore that you could probably do the same and create manually the preprint page - at worst it will be modified later by an editor. ::::::As you say, it is indeed quite sad that the WikiJournal project seems to have slowed down/stopped; I still hope that the trend will revert at a certain point... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:04, 11 December 2025 (UTC) :::::::Thanks a lot for your answer... I dearly hope that it will get back on its feet. I'll try to send some mails too, if anything comes up I'll notice it here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 21:03, 13 December 2025 (UTC) ::::::::Indeed, there's a long backlog in this process. I added to the top of the nomination page in Wikipedia ''"There is currently a '''long backlog''' of articles in WikiJournal. Please consider contributing as associate editor in order to help coordinate peer reviews for current submissions. See [[WikiJournal User Group/Editorial guidelines|WikiJournal editorial guidelines]]''". [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:46, 10 September 2026 (UTC) :::::::::In my case, it worked ! See [[WikiJournal Preprints/Pentagram map]]. The peer-reviewing is over, I'm just waiting for the publication. The overall process took long, but it's understandable given the lack of associate editors. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:27, 11 September 2026 (UTC) == Discover CapX: New Design, Features, and Ways to Connect == Hello {{PAGENAME}}! My name is [[User:AJurno (WMB)|Amanda Jurno]] and I’m writing to you on behalf of the [[m:Capacity Exchange|Capacity Exchange (CapX) team]]. We would like to invite you and your community to start using the [[toolforge:capx|CapX tool]]. [[File:GIF of CapX features - November 2025 - Let's Connect.gif|right|thumb|300px]] CapX is a platform designed for Wikimedians around the world to connect through skills and collaboration. It offers a simple and user-friendly way to find and engage with people who can offer specific expertise, helping make collaboration across the movement more efficient and accessible. If you’d like a clearer sense of where we’re headed, you can read more about our ''Vision and Purpose [[:File:Capacity Exchange's Vision & Purpose.pdf|here]]'''. We’ve also prepared a simple visualisation of [[:File:What is the Capacity Exchange 01.pdf|how CapX works]]. Additional documentation, FAQs, tutorials, and how-to videos are available on our [[m:Capacity Exchange|Meta-Wiki page]]. The more your community joins CapX, the clearer your view becomes of how capacity-building is growing across your region via the [[toolforge:capx/data_analytics_dashboard|CapX's Data Analytics dashboard]]. If you experience any difficulties using the tool, you can consult our [[m:Capacity Exchange/User Guide|User Guide]], which includes step-by-step tutorials and short videos explaining each feature. To get in touch with the CapX team, share feedback, or suggest improvements, feel free to email us at capx@wmnobrasil.org. For quick questions and updates, you can also join our [https://t.me/CapacityExchange Telegram channel]. '''We would be delighted to have {{PAGENAME}} join CapX’s growing network'''. Creating your organization profile only takes a few minutes and helps other affiliates discover your expertise, initiatives, and potential areas for collaboration. [[:File:CapX - Create an Organizational profile.png|Here is what we need from you before you can start]]. Finally, we invite you to subscribe to our newsletter channel to receive regular updates about CapX and the Capacity Exchange project - [[m:Capacity Exchange/Newsletter|click here to subscribe]]. We hope to see you exchanging soon! Sincerely, [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 01:37, 31 March 2026 (UTC) :I am setting up an individual profile. I noticed that "Wikiversity" is not a Capacity that can be listed (but "Wikipedia" is a capacity). Could Wikiversity be added? :https://capx.toolforge.org/profile/Jtneill -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 11:27, 31 March 2026 (UTC) : ping [[User:AJurno (WMB)|AJurno (WMB)]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 10:34, 24 May 2026 (UTC) ::Hello @[[User|Jtneill]], thank you for pinging me! I hadn’t seen your reply. Thank you so much for letting me know that — I was sure Wikiversity was already listed as a skill, but it actually wasn’t. I’m adding it now. Please feel free to contact me again anytime, despite my long absence hehehehe [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 17:27, 26 May 2026 (UTC) == Towards Wikiversity's Ethics policy == I think you might be interested [[Wikiversity:Colloquium#Towards an Ethics policy|in this]] and you could also add interesting perspectives from ethics of scientifical research. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 08:02, 9 June 2026 (UTC) == Call for interest: Administrative Officer == WikiJournal is seeking expressions of interest in a new part-time, paid '''Administrative Officer''' position. We are initially sharing this opportunity within the WikiJournal community because familiarity with WikiJournal, Wikimedia, open licensing or academic publishing would be particularly valuable. The Administrative Officer would support WikiJournal's day-to-day organizational work, including: * Setting up and administering a system for tracking contractor hours and issuing payments. * Coordinating the contracting, onboarding, timekeeping and payment of technical editors and other contractors. * Maintaining financial, contractor and administrative records. * Assisting with grant administration, budget tracking and reporting. * Following up on board action items, deadlines and recurring obligations. * Supporting recruitment and other operational tasks as needed. The position is a remote, flexibly scheduled contractor role averaging approximately '''6 hours per week'''. Compensation is proposed at '''US$25 per hour''', with up to approximately '''320 hours (US$8,000) available over the year'''. Workload may vary depending on contracting, reporting and grant-related deadlines. Applicants may be based internationally, although appointment will depend on WikiJournal being able to establish a practical and legally appropriate contracting and payment arrangement in the applicant's country of residence. The complete responsibilities, administrative arrangements and desirable experience are described on the [[WikiJournal User Group/Administrative officer|Administrative Officer role page]]. Useful experience may include administrative organization, bookkeeping or financial administration, contractor or personnel coordination, nonprofit or grant administration, Wikimedia participation, academic publishing, and open-access work. Applicants are not expected to have experience in every listed area. === Expressions of interest === If you're interested, please make an entry below by '''30 September 2026''' with: * A concise description of relevant experience. * Their connection to WikiJournal or related communities, if any. * Their general availability. Expressions of interest received after this date may still be considered if the position has not yet been filled. Recommendations of other potentially suitable candidates are also welcome. Shortlisted applicants may be invited to an informal interview with several WikiJournal participants. Final selection will be made by consensus of the WikiJournal Administrative Board. [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:22, 10 September 2026 (UTC) *I'm interested in the work. I currently work in an administrative executive position and have worked remotely and asychronously for a decade. I have been editing Wikimedia projects for over 20&nbsp;years, including highly advanced user rights (CheckUser on Wikispecies) that has required my personal identification to the Wikimedia Foundation. I have also done grant application/administration/management for about a decade and have been a co-author on several technical reports (see, e.g. my listed publications at [[:s:en:Author:Justin Anthony Knapp]]), with the successful completion of over $10&nbsp;million in grant funding. I have also done some organizing and administrative work. I have not done payroll and personnel management work, but am willing to learn and think that I can pick up these skills with training. I'm looking forward to hearing from you and can provide a proper CV or cover letter as required. ―[[User:Koavf|Justin (<span style="color:grey">ko'''a'''<span style="color:black">v</span>f</span>)]]<span style="color:red">❤[[User talk:Koavf|T]]☮[[Special:Contributions/Koavf|C]]☺[[Special:Emailuser/Koavf|M]]☯</span> 18:36, 13 September 2026 (UTC) *&nbsp; == Problem with accessing .docx formatting template == Hello everyone, I wrote the [[WikiJournal Preprints/Pentagram map]], the peer-reviewing is over and I'm waiting for publication. In the meantime, I checked the [[WikiJournal_User_Group/Editorial guidelines#Creation of PDF files|procedure for PDF file creation]] (which I'll have to do). I have two questions: # The format is .docx, so using Microsoft Word is mandatory. This is quite annoying since it is a proprietary software (in contradiction with wikimedia philosophy), and it is not free. I don't have it, and I'll have to find a solution. # By clicking on the link to access [https://drive.google.com/file/d/0B4LQzkvkbO9YV1lSQnRCV1ppYUE/view?usp=sharing WikiJSci template], I arrive on a Google drive (I'm not a fan this corporation neither) which asks me to identify. For one I don't see why I should, but still I have an account (not everyone does). When I connect I get an "Access denied", saying that I might receive an email from the drive owner to get the permission... I'm quite enthusiast of the whole WikiJournal project, but this bit frustrates me. I understand it might be a little work to fix 1, taking the time to migrate the template to [[w:LibreOffice|LibreOffice]] (shouldn't be impossible, I'm even up for helping). But 2 is really malfunctioning. Could something be done to fix it ? I'm sorry if I sound harsh. I still want to thank the few people maintaining the project, which is great overall. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 20:50, 12 September 2026 (UTC) :@[[User:Regliste|Regliste]] #1 is very tricky to migrate as integrating authors, affiliations, wide tables, figures, references all into one document while maintaining the professional look & feel. While LaTeX is often used in some fields, we try to remain compatible with as many scientific fields under our journal's scope. But we're always welcome for volunteers to make our templates usable by different audiences. As for #2, this is restricted because we don't want the article template to be floating around freely. Imagine if Springer's article template is freely accessible online, what would happen? People can create their unpublished paper and put it into the template to masquerade as a published article. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:12, 29 October 2026 (UTC) ::Thanks for your reply @[[User:OhanaUnited|OhanaUnited]]. ::# I understand why the template is not LaTeX but in some more broadly used typesetting software. However, Microsoft Word is still a proprietary software, which I don't have, and I still don't understand why not using a mainstream free software alternative like LibreOffice.<br> I can easily adapt the formatting template of MSWord into [[W:Typst|Typst]]. This is an open source and easy to handle alternative to LaTeX. Would the project be interested? I would need the MSWord template but then it won't take me long. ::# Thanks for the explanation, I wasn't aware of the risk. But how do I access it then? I was confused by what is written [[WikiJournal User Group/Editorial guidelines#Creation of PDF files|here]], as it seems that the files are freely available. Also, why using Google services, which requires login? It still is a proprietary software, and there are free alternatives. ::Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 09:53, 30 October 2026 (UTC) :::Fair questions. We are definitely interested in offering alternative templates that use open software. I can provide the template via email. As for why the editorial instructions are available online, the role of converting to PDF was previously done by volunteers (and sometimes the author themselves). We found that the formatting and layout were inconsistent across articles. We switched to paid technical editors around 2022 but the instructions stayed on that page. The PDF creation is on indefinitely pause at the moment due to reduced funding from WMF. We have to wait until sufficient funding is restored by WMF grant for us to hire technical editors to create PDFs. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 00:12, 4 November 2026 (UTC) == [[:m:Wikimuseum ~ Art|Wikimuseum]] == Hello, I would like to share a proposal with you that involves the frequent use of scientific articles. I would therefore like to request the option of seeking a review from WikiJournal should a disagreement get out of hand. Using Google Translate from Spanish Atte: [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 04:51, 9 October 2026 (UTC) :Your message lacks details. Can you be specific about what you are seeking help from us for? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:18, 29 October 2026 (UTC) ::Hello, I hope you are doing well. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:14, 29 October 2026 (UTC) ::[[:m:Wikimuseum_~_Art|Wikimuseum]] will require the assistance of WikiJournal, as it will rely—to a significant extent—on scientific papers to develop its emotion-based guides, particularly those linked to the WikiJournal of PPB. Consequently, in instances of editorial conflict that lack a long-term resolution, or when knowledge gaps are identified, we will request that WikiJournal conduct peer-reviewed scientific research. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:18, 29 October 2026 (UTC) :::Thanks for clarifying. WikiJournal of PPB is still in the development phase and there's no firm date on launch. In the interim you can use existing peer-reviewed articles (ideally indexed by reputable services like Scopus, Web of Science, etc.) [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 23:33, 3 November 2026 (UTC) eh90rczu1tpoq69uaiwstv0rw4voqb2 2844370 2844364 2026-11-04T00:23:56Z OhanaUnited 18921 /* Problem with accessing .docx formatting template */ add 2844370 wikitext text/x-wiki [[Category:WikiJournal]] {{WikiJournal_discussions}} {{Archive box| [[/Archive 2014–2016|2014–2016]] <br>[[/Archive 2016 naming vote|2016 naming vote]] <br>[[/Archive 2017|2017]] <br>[[/Archive 2018|2018]] <br>[[/Archive 2019|2019]] <br>[[/Archive 2020|2020]] <br>[[/Archive 2021|2021]] <br>[[/Archive 2022|2022]] <br>[[/Archive 2023-2025|2022-2025]] Discussions may also take place at the <br>'''[https://lists.wikimedia.org/pipermail/wikijournal-en/ public mailing list]'' ([https://lists.wikimedia.org/mailman/listinfo/wikijournal-en Join]) }} {{TOClimit|limit=3}} == [[Wikipedia:WikiJournal article nominations]] is dead == Hello, I wanted to get in touch with you about a part of this process. The submissions board at [[en:Wikipedia:WP:WikiJournal article nominations|WikiJournal article nominations]] is no longer being maintained. [[User:Evolution and evolvability|Evolution and evolvability]] has been inactive since November 2023 and has not responded to multiple attempts of mine to get in touch with him. I submitted an article there more than 4 months ago and have not even received confirmation of its submission. I notice the previous section on the status of the WikiJournals, and I must say that I am also disheartened by my attempt to contribute. I hope that someone on this end of the process will come over to English Wikipedia and fill in this gap so that the article pipeline is no longer so flawed. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 16:12, 29 March 2024 (UTC) :Hi [[User:Fritzmann2002|Fritzmann2002]], thanks for pointing it out, I'm actually in the same situation (article submitted in April 2025). :I saw however that your submitted article has now a preprint page, and, according to the history, it was created by yourself. Did you obtain a permission from the editors for doing so, or can actually any user create directly a preprint page for their submissions? I didn't even tried myself, because it was never clear to me who is actually responsible for converting nominated Wikipedia articles into Wikijournal preprints. I have also explicitly asked the editors, but I have not obtained any reply so far... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:53, 2 September 2025 (UTC) :As long as everything is subordinated to Wikipedia, projects of this type cannot be a trustworthy partner. Yes, WikiJournal would be a great project that could exist on its own, but unfortunately it is not. You want to publish, you find WikiJournal, you write an article and hey, they don't accept articles of this type because it doesn't suit Wikipedia. So at the moment if it is publishable on Wikipedia, publish it directly on Wikipedia, if you need to publish in an article you are out of luck. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 06:42, 3 September 2025 (UTC) ::Sorry, I think we are talking about different problems. The page [[wikipedia:WikiJournal_article_nominations|WikiJournal article nominations]] deals precisely with articles already present on Wikipedia, so this is not the issue. The articles that we were mentioning above have been already written on Wikipedia first, so it's not a matter of not being accepted because they don't suit Wikipedia, but simply of not being converted (yet) into a WikiJournal preprint, which in turn (after passing the peer-review phase) would to a publication in a WikiJournal. ::I had already published an article with this procedure a couple of years ago and everything went smoothly, so I don't see an intrinsic problem in the system, just in this first stage, which requires some manual conversion from Wikipedia to Wikiversity (as I said, I would be willing to do it myself, but I'm not sure if it is allowed). [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 15:40, 3 September 2025 (UTC) :::I see. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 04:42, 4 September 2025 (UTC) :::Yes, this is the issue. The point-man for that part of the process has gone inactive, and now it just isn't done. There needs to be some redundancy in this journal, so that if a volunteer (understandably) can't fulfill their role for an extended period of time there is someone else to step in. As of right now it seems there are several points in the process where a submitted article can just run out steam, through no fault of the author. Nobody wants to be ushering a written piece of work through review for years on end. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 23:36, 17 September 2025 (UTC) ::::Yes, I agree. But then, just to be clear, how was the issue solved for your article [[WikiJournal Preprints/Hypericum sechmenii|Hypericum sechmenii]]? From the history page it seems that you did create the preprint yourself. Is it allowed? Did an editor give you permission to do it? [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 10:11, 18 September 2025 (UTC) :::::Hello everyone, :::::I'm submitting an article that I entirely revamped on Wikipedia ([[w:Pentagram map]]). I filled the form [https://docs.google.com/forms/d/e/1FAIpQLSf-Nu7hjiTeJ5uQ5ozMOIivWZjeyJCPLwAUOuNDP1MVKUbCSQ/viewform WikiJournal submission form]. What should I do now ? @[[User:Francesco Cattafi|Francesco Cattafi]], I see that for [[WikiJournal Preprints/Diffeology]], you created it yourself. Should I do the same ? Did you get any reply ? :::::It's quite saddening to see that a nice project like the WikiJournal seems to be going down... At least from what I can read here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 15:13, 8 December 2025 (UTC) ::::::Hi @[[User:Regliste|Regliste]], I was in doubt what to do, but eventually I got the explicit permission from @[[User:Marshallsumter|Marshallsumter]] to create the preprint page myself (see also the related discussion on [[w:User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints]]). However, since then I haven't received any further reply (see also my question at [[User_talk:OhanaUnited#WikiJournal_article_nominations]]) and the review process hasn't started at all. ::::::I guess therefore that you could probably do the same and create manually the preprint page - at worst it will be modified later by an editor. ::::::As you say, it is indeed quite sad that the WikiJournal project seems to have slowed down/stopped; I still hope that the trend will revert at a certain point... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:04, 11 December 2025 (UTC) :::::::Thanks a lot for your answer... I dearly hope that it will get back on its feet. I'll try to send some mails too, if anything comes up I'll notice it here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 21:03, 13 December 2025 (UTC) ::::::::Indeed, there's a long backlog in this process. I added to the top of the nomination page in Wikipedia ''"There is currently a '''long backlog''' of articles in WikiJournal. Please consider contributing as associate editor in order to help coordinate peer reviews for current submissions. See [[WikiJournal User Group/Editorial guidelines|WikiJournal editorial guidelines]]''". [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:46, 10 September 2026 (UTC) :::::::::In my case, it worked ! See [[WikiJournal Preprints/Pentagram map]]. The peer-reviewing is over, I'm just waiting for the publication. The overall process took long, but it's understandable given the lack of associate editors. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:27, 11 September 2026 (UTC) == Discover CapX: New Design, Features, and Ways to Connect == Hello {{PAGENAME}}! My name is [[User:AJurno (WMB)|Amanda Jurno]] and I’m writing to you on behalf of the [[m:Capacity Exchange|Capacity Exchange (CapX) team]]. We would like to invite you and your community to start using the [[toolforge:capx|CapX tool]]. [[File:GIF of CapX features - November 2025 - Let's Connect.gif|right|thumb|300px]] CapX is a platform designed for Wikimedians around the world to connect through skills and collaboration. It offers a simple and user-friendly way to find and engage with people who can offer specific expertise, helping make collaboration across the movement more efficient and accessible. If you’d like a clearer sense of where we’re headed, you can read more about our ''Vision and Purpose [[:File:Capacity Exchange's Vision & Purpose.pdf|here]]'''. We’ve also prepared a simple visualisation of [[:File:What is the Capacity Exchange 01.pdf|how CapX works]]. Additional documentation, FAQs, tutorials, and how-to videos are available on our [[m:Capacity Exchange|Meta-Wiki page]]. The more your community joins CapX, the clearer your view becomes of how capacity-building is growing across your region via the [[toolforge:capx/data_analytics_dashboard|CapX's Data Analytics dashboard]]. If you experience any difficulties using the tool, you can consult our [[m:Capacity Exchange/User Guide|User Guide]], which includes step-by-step tutorials and short videos explaining each feature. To get in touch with the CapX team, share feedback, or suggest improvements, feel free to email us at capx@wmnobrasil.org. For quick questions and updates, you can also join our [https://t.me/CapacityExchange Telegram channel]. '''We would be delighted to have {{PAGENAME}} join CapX’s growing network'''. Creating your organization profile only takes a few minutes and helps other affiliates discover your expertise, initiatives, and potential areas for collaboration. [[:File:CapX - Create an Organizational profile.png|Here is what we need from you before you can start]]. Finally, we invite you to subscribe to our newsletter channel to receive regular updates about CapX and the Capacity Exchange project - [[m:Capacity Exchange/Newsletter|click here to subscribe]]. We hope to see you exchanging soon! Sincerely, [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 01:37, 31 March 2026 (UTC) :I am setting up an individual profile. I noticed that "Wikiversity" is not a Capacity that can be listed (but "Wikipedia" is a capacity). Could Wikiversity be added? :https://capx.toolforge.org/profile/Jtneill -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 11:27, 31 March 2026 (UTC) : ping [[User:AJurno (WMB)|AJurno (WMB)]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 10:34, 24 May 2026 (UTC) ::Hello @[[User|Jtneill]], thank you for pinging me! I hadn’t seen your reply. Thank you so much for letting me know that — I was sure Wikiversity was already listed as a skill, but it actually wasn’t. I’m adding it now. Please feel free to contact me again anytime, despite my long absence hehehehe [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 17:27, 26 May 2026 (UTC) == Towards Wikiversity's Ethics policy == I think you might be interested [[Wikiversity:Colloquium#Towards an Ethics policy|in this]] and you could also add interesting perspectives from ethics of scientifical research. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 08:02, 9 June 2026 (UTC) == Call for interest: Administrative Officer == WikiJournal is seeking expressions of interest in a new part-time, paid '''Administrative Officer''' position. We are initially sharing this opportunity within the WikiJournal community because familiarity with WikiJournal, Wikimedia, open licensing or academic publishing would be particularly valuable. The Administrative Officer would support WikiJournal's day-to-day organizational work, including: * Setting up and administering a system for tracking contractor hours and issuing payments. * Coordinating the contracting, onboarding, timekeeping and payment of technical editors and other contractors. * Maintaining financial, contractor and administrative records. * Assisting with grant administration, budget tracking and reporting. * Following up on board action items, deadlines and recurring obligations. * Supporting recruitment and other operational tasks as needed. The position is a remote, flexibly scheduled contractor role averaging approximately '''6 hours per week'''. Compensation is proposed at '''US$25 per hour''', with up to approximately '''320 hours (US$8,000) available over the year'''. Workload may vary depending on contracting, reporting and grant-related deadlines. Applicants may be based internationally, although appointment will depend on WikiJournal being able to establish a practical and legally appropriate contracting and payment arrangement in the applicant's country of residence. The complete responsibilities, administrative arrangements and desirable experience are described on the [[WikiJournal User Group/Administrative officer|Administrative Officer role page]]. Useful experience may include administrative organization, bookkeeping or financial administration, contractor or personnel coordination, nonprofit or grant administration, Wikimedia participation, academic publishing, and open-access work. Applicants are not expected to have experience in every listed area. === Expressions of interest === If you're interested, please make an entry below by '''30 September 2026''' with: * A concise description of relevant experience. * Their connection to WikiJournal or related communities, if any. * Their general availability. Expressions of interest received after this date may still be considered if the position has not yet been filled. Recommendations of other potentially suitable candidates are also welcome. Shortlisted applicants may be invited to an informal interview with several WikiJournal participants. Final selection will be made by consensus of the WikiJournal Administrative Board. [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:22, 10 September 2026 (UTC) *I'm interested in the work. I currently work in an administrative executive position and have worked remotely and asychronously for a decade. I have been editing Wikimedia projects for over 20&nbsp;years, including highly advanced user rights (CheckUser on Wikispecies) that has required my personal identification to the Wikimedia Foundation. I have also done grant application/administration/management for about a decade and have been a co-author on several technical reports (see, e.g. my listed publications at [[:s:en:Author:Justin Anthony Knapp]]), with the successful completion of over $10&nbsp;million in grant funding. I have also done some organizing and administrative work. I have not done payroll and personnel management work, but am willing to learn and think that I can pick up these skills with training. I'm looking forward to hearing from you and can provide a proper CV or cover letter as required. ―[[User:Koavf|Justin (<span style="color:grey">ko'''a'''<span style="color:black">v</span>f</span>)]]<span style="color:red">❤[[User talk:Koavf|T]]☮[[Special:Contributions/Koavf|C]]☺[[Special:Emailuser/Koavf|M]]☯</span> 18:36, 13 September 2026 (UTC) *&nbsp; == Problem with accessing .docx formatting template == Hello everyone, I wrote the [[WikiJournal Preprints/Pentagram map]], the peer-reviewing is over and I'm waiting for publication. In the meantime, I checked the [[WikiJournal_User_Group/Editorial guidelines#Creation of PDF files|procedure for PDF file creation]] (which I'll have to do). I have two questions: # The format is .docx, so using Microsoft Word is mandatory. This is quite annoying since it is a proprietary software (in contradiction with wikimedia philosophy), and it is not free. I don't have it, and I'll have to find a solution. # By clicking on the link to access [https://drive.google.com/file/d/0B4LQzkvkbO9YV1lSQnRCV1ppYUE/view?usp=sharing WikiJSci template], I arrive on a Google drive (I'm not a fan this corporation neither) which asks me to identify. For one I don't see why I should, but still I have an account (not everyone does). When I connect I get an "Access denied", saying that I might receive an email from the drive owner to get the permission... I'm quite enthusiast of the whole WikiJournal project, but this bit frustrates me. I understand it might be a little work to fix 1, taking the time to migrate the template to [[w:LibreOffice|LibreOffice]] (shouldn't be impossible, I'm even up for helping). But 2 is really malfunctioning. Could something be done to fix it ? I'm sorry if I sound harsh. I still want to thank the few people maintaining the project, which is great overall. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 20:50, 12 September 2026 (UTC) :@[[User:Regliste|Regliste]] #1 is very tricky to migrate as integrating authors, affiliations, wide tables, figures, references all into one document while maintaining the professional look & feel. While LaTeX is often used in some fields, we try to remain compatible with as many scientific fields under our journal's scope. But we're always welcome for volunteers to make our templates usable by different audiences. As for #2, this is restricted because we don't want the article template to be floating around freely. Imagine if Springer's article template is freely accessible online, what would happen? People can create their unpublished paper and put it into the template to masquerade as a published article. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:12, 29 October 2026 (UTC) ::Thanks for your reply @[[User:OhanaUnited|OhanaUnited]]. ::# I understand why the template is not LaTeX but in some more broadly used typesetting software. However, Microsoft Word is still a proprietary software, which I don't have, and I still don't understand why not using a mainstream free software alternative like LibreOffice.<br> I can easily adapt the formatting template of MSWord into [[W:Typst|Typst]]. This is an open source and easy to handle alternative to LaTeX. Would the project be interested? I would need the MSWord template but then it won't take me long. ::# Thanks for the explanation, I wasn't aware of the risk. But how do I access it then? I was confused by what is written [[WikiJournal User Group/Editorial guidelines#Creation of PDF files|here]], as it seems that the files are freely available. Also, why using Google services, which requires login? It still is a proprietary software, and there are free alternatives. ::Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 09:53, 30 October 2026 (UTC) :::Fair questions. We are definitely interested in offering alternative templates that use open software. I can provide the template via email. As for why the editorial instructions are available online, the role of converting to PDF was previously done by volunteers (and sometimes the author themselves). We found that the formatting and layout were inconsistent across articles. We switched to paid technical editors around 2022 but the instructions stayed on that page. The PDF creation is on indefinitely pause at the moment due to reduced funding from WMF. We have to wait until sufficient funding is restored by WMF grant for us to hire technical editors to create PDFs. As for why it was set up with Google services, it is a large provider (and at least somewhat more reputable back in 2017) that provides [https://www.google.com/nonprofits/offerings/workspace/ free workspace to non-profits] and also compatible with our domain redirect and email address system. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 00:12, 4 November 2026 (UTC) == [[:m:Wikimuseum ~ Art|Wikimuseum]] == Hello, I would like to share a proposal with you that involves the frequent use of scientific articles. I would therefore like to request the option of seeking a review from WikiJournal should a disagreement get out of hand. Using Google Translate from Spanish Atte: [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 04:51, 9 October 2026 (UTC) :Your message lacks details. Can you be specific about what you are seeking help from us for? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:18, 29 October 2026 (UTC) ::Hello, I hope you are doing well. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:14, 29 October 2026 (UTC) ::[[:m:Wikimuseum_~_Art|Wikimuseum]] will require the assistance of WikiJournal, as it will rely—to a significant extent—on scientific papers to develop its emotion-based guides, particularly those linked to the WikiJournal of PPB. Consequently, in instances of editorial conflict that lack a long-term resolution, or when knowledge gaps are identified, we will request that WikiJournal conduct peer-reviewed scientific research. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:18, 29 October 2026 (UTC) :::Thanks for clarifying. WikiJournal of PPB is still in the development phase and there's no firm date on launch. In the interim you can use existing peer-reviewed articles (ideally indexed by reputable services like Scopus, Web of Science, etc.) [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 23:33, 3 November 2026 (UTC) dj6kabxoqja5xrrlsg8omhnj7in93ck 2844445 2844370 2026-11-04T10:55:02Z Regliste 3029369 /* Problem with accessing .docx formatting template */ Reply 2844445 wikitext text/x-wiki [[Category:WikiJournal]] {{WikiJournal_discussions}} {{Archive box| [[/Archive 2014–2016|2014–2016]] <br>[[/Archive 2016 naming vote|2016 naming vote]] <br>[[/Archive 2017|2017]] <br>[[/Archive 2018|2018]] <br>[[/Archive 2019|2019]] <br>[[/Archive 2020|2020]] <br>[[/Archive 2021|2021]] <br>[[/Archive 2022|2022]] <br>[[/Archive 2023-2025|2022-2025]] Discussions may also take place at the <br>'''[https://lists.wikimedia.org/pipermail/wikijournal-en/ public mailing list]'' ([https://lists.wikimedia.org/mailman/listinfo/wikijournal-en Join]) }} {{TOClimit|limit=3}} == [[Wikipedia:WikiJournal article nominations]] is dead == Hello, I wanted to get in touch with you about a part of this process. The submissions board at [[en:Wikipedia:WP:WikiJournal article nominations|WikiJournal article nominations]] is no longer being maintained. [[User:Evolution and evolvability|Evolution and evolvability]] has been inactive since November 2023 and has not responded to multiple attempts of mine to get in touch with him. I submitted an article there more than 4 months ago and have not even received confirmation of its submission. I notice the previous section on the status of the WikiJournals, and I must say that I am also disheartened by my attempt to contribute. I hope that someone on this end of the process will come over to English Wikipedia and fill in this gap so that the article pipeline is no longer so flawed. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 16:12, 29 March 2024 (UTC) :Hi [[User:Fritzmann2002|Fritzmann2002]], thanks for pointing it out, I'm actually in the same situation (article submitted in April 2025). :I saw however that your submitted article has now a preprint page, and, according to the history, it was created by yourself. Did you obtain a permission from the editors for doing so, or can actually any user create directly a preprint page for their submissions? I didn't even tried myself, because it was never clear to me who is actually responsible for converting nominated Wikipedia articles into Wikijournal preprints. I have also explicitly asked the editors, but I have not obtained any reply so far... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:53, 2 September 2025 (UTC) :As long as everything is subordinated to Wikipedia, projects of this type cannot be a trustworthy partner. Yes, WikiJournal would be a great project that could exist on its own, but unfortunately it is not. You want to publish, you find WikiJournal, you write an article and hey, they don't accept articles of this type because it doesn't suit Wikipedia. So at the moment if it is publishable on Wikipedia, publish it directly on Wikipedia, if you need to publish in an article you are out of luck. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 06:42, 3 September 2025 (UTC) ::Sorry, I think we are talking about different problems. The page [[wikipedia:WikiJournal_article_nominations|WikiJournal article nominations]] deals precisely with articles already present on Wikipedia, so this is not the issue. The articles that we were mentioning above have been already written on Wikipedia first, so it's not a matter of not being accepted because they don't suit Wikipedia, but simply of not being converted (yet) into a WikiJournal preprint, which in turn (after passing the peer-review phase) would to a publication in a WikiJournal. ::I had already published an article with this procedure a couple of years ago and everything went smoothly, so I don't see an intrinsic problem in the system, just in this first stage, which requires some manual conversion from Wikipedia to Wikiversity (as I said, I would be willing to do it myself, but I'm not sure if it is allowed). [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 15:40, 3 September 2025 (UTC) :::I see. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 04:42, 4 September 2025 (UTC) :::Yes, this is the issue. The point-man for that part of the process has gone inactive, and now it just isn't done. There needs to be some redundancy in this journal, so that if a volunteer (understandably) can't fulfill their role for an extended period of time there is someone else to step in. As of right now it seems there are several points in the process where a submitted article can just run out steam, through no fault of the author. Nobody wants to be ushering a written piece of work through review for years on end. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 23:36, 17 September 2025 (UTC) ::::Yes, I agree. But then, just to be clear, how was the issue solved for your article [[WikiJournal Preprints/Hypericum sechmenii|Hypericum sechmenii]]? From the history page it seems that you did create the preprint yourself. Is it allowed? Did an editor give you permission to do it? [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 10:11, 18 September 2025 (UTC) :::::Hello everyone, :::::I'm submitting an article that I entirely revamped on Wikipedia ([[w:Pentagram map]]). I filled the form [https://docs.google.com/forms/d/e/1FAIpQLSf-Nu7hjiTeJ5uQ5ozMOIivWZjeyJCPLwAUOuNDP1MVKUbCSQ/viewform WikiJournal submission form]. What should I do now ? @[[User:Francesco Cattafi|Francesco Cattafi]], I see that for [[WikiJournal Preprints/Diffeology]], you created it yourself. Should I do the same ? Did you get any reply ? :::::It's quite saddening to see that a nice project like the WikiJournal seems to be going down... At least from what I can read here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 15:13, 8 December 2025 (UTC) ::::::Hi @[[User:Regliste|Regliste]], I was in doubt what to do, but eventually I got the explicit permission from @[[User:Marshallsumter|Marshallsumter]] to create the preprint page myself (see also the related discussion on [[w:User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints]]). However, since then I haven't received any further reply (see also my question at [[User_talk:OhanaUnited#WikiJournal_article_nominations]]) and the review process hasn't started at all. ::::::I guess therefore that you could probably do the same and create manually the preprint page - at worst it will be modified later by an editor. ::::::As you say, it is indeed quite sad that the WikiJournal project seems to have slowed down/stopped; I still hope that the trend will revert at a certain point... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:04, 11 December 2025 (UTC) :::::::Thanks a lot for your answer... I dearly hope that it will get back on its feet. I'll try to send some mails too, if anything comes up I'll notice it here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 21:03, 13 December 2025 (UTC) ::::::::Indeed, there's a long backlog in this process. I added to the top of the nomination page in Wikipedia ''"There is currently a '''long backlog''' of articles in WikiJournal. Please consider contributing as associate editor in order to help coordinate peer reviews for current submissions. See [[WikiJournal User Group/Editorial guidelines|WikiJournal editorial guidelines]]''". [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:46, 10 September 2026 (UTC) :::::::::In my case, it worked ! See [[WikiJournal Preprints/Pentagram map]]. The peer-reviewing is over, I'm just waiting for the publication. The overall process took long, but it's understandable given the lack of associate editors. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:27, 11 September 2026 (UTC) == Discover CapX: New Design, Features, and Ways to Connect == Hello {{PAGENAME}}! My name is [[User:AJurno (WMB)|Amanda Jurno]] and I’m writing to you on behalf of the [[m:Capacity Exchange|Capacity Exchange (CapX) team]]. We would like to invite you and your community to start using the [[toolforge:capx|CapX tool]]. [[File:GIF of CapX features - November 2025 - Let's Connect.gif|right|thumb|300px]] CapX is a platform designed for Wikimedians around the world to connect through skills and collaboration. It offers a simple and user-friendly way to find and engage with people who can offer specific expertise, helping make collaboration across the movement more efficient and accessible. If you’d like a clearer sense of where we’re headed, you can read more about our ''Vision and Purpose [[:File:Capacity Exchange's Vision & Purpose.pdf|here]]'''. We’ve also prepared a simple visualisation of [[:File:What is the Capacity Exchange 01.pdf|how CapX works]]. Additional documentation, FAQs, tutorials, and how-to videos are available on our [[m:Capacity Exchange|Meta-Wiki page]]. The more your community joins CapX, the clearer your view becomes of how capacity-building is growing across your region via the [[toolforge:capx/data_analytics_dashboard|CapX's Data Analytics dashboard]]. If you experience any difficulties using the tool, you can consult our [[m:Capacity Exchange/User Guide|User Guide]], which includes step-by-step tutorials and short videos explaining each feature. To get in touch with the CapX team, share feedback, or suggest improvements, feel free to email us at capx@wmnobrasil.org. For quick questions and updates, you can also join our [https://t.me/CapacityExchange Telegram channel]. '''We would be delighted to have {{PAGENAME}} join CapX’s growing network'''. Creating your organization profile only takes a few minutes and helps other affiliates discover your expertise, initiatives, and potential areas for collaboration. [[:File:CapX - Create an Organizational profile.png|Here is what we need from you before you can start]]. Finally, we invite you to subscribe to our newsletter channel to receive regular updates about CapX and the Capacity Exchange project - [[m:Capacity Exchange/Newsletter|click here to subscribe]]. We hope to see you exchanging soon! Sincerely, [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 01:37, 31 March 2026 (UTC) :I am setting up an individual profile. I noticed that "Wikiversity" is not a Capacity that can be listed (but "Wikipedia" is a capacity). Could Wikiversity be added? :https://capx.toolforge.org/profile/Jtneill -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 11:27, 31 March 2026 (UTC) : ping [[User:AJurno (WMB)|AJurno (WMB)]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 10:34, 24 May 2026 (UTC) ::Hello @[[User|Jtneill]], thank you for pinging me! I hadn’t seen your reply. Thank you so much for letting me know that — I was sure Wikiversity was already listed as a skill, but it actually wasn’t. I’m adding it now. Please feel free to contact me again anytime, despite my long absence hehehehe [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 17:27, 26 May 2026 (UTC) == Towards Wikiversity's Ethics policy == I think you might be interested [[Wikiversity:Colloquium#Towards an Ethics policy|in this]] and you could also add interesting perspectives from ethics of scientifical research. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 08:02, 9 June 2026 (UTC) == Call for interest: Administrative Officer == WikiJournal is seeking expressions of interest in a new part-time, paid '''Administrative Officer''' position. We are initially sharing this opportunity within the WikiJournal community because familiarity with WikiJournal, Wikimedia, open licensing or academic publishing would be particularly valuable. The Administrative Officer would support WikiJournal's day-to-day organizational work, including: * Setting up and administering a system for tracking contractor hours and issuing payments. * Coordinating the contracting, onboarding, timekeeping and payment of technical editors and other contractors. * Maintaining financial, contractor and administrative records. * Assisting with grant administration, budget tracking and reporting. * Following up on board action items, deadlines and recurring obligations. * Supporting recruitment and other operational tasks as needed. The position is a remote, flexibly scheduled contractor role averaging approximately '''6 hours per week'''. Compensation is proposed at '''US$25 per hour''', with up to approximately '''320 hours (US$8,000) available over the year'''. Workload may vary depending on contracting, reporting and grant-related deadlines. Applicants may be based internationally, although appointment will depend on WikiJournal being able to establish a practical and legally appropriate contracting and payment arrangement in the applicant's country of residence. The complete responsibilities, administrative arrangements and desirable experience are described on the [[WikiJournal User Group/Administrative officer|Administrative Officer role page]]. Useful experience may include administrative organization, bookkeeping or financial administration, contractor or personnel coordination, nonprofit or grant administration, Wikimedia participation, academic publishing, and open-access work. Applicants are not expected to have experience in every listed area. === Expressions of interest === If you're interested, please make an entry below by '''30 September 2026''' with: * A concise description of relevant experience. * Their connection to WikiJournal or related communities, if any. * Their general availability. Expressions of interest received after this date may still be considered if the position has not yet been filled. Recommendations of other potentially suitable candidates are also welcome. Shortlisted applicants may be invited to an informal interview with several WikiJournal participants. Final selection will be made by consensus of the WikiJournal Administrative Board. [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:22, 10 September 2026 (UTC) *I'm interested in the work. I currently work in an administrative executive position and have worked remotely and asychronously for a decade. I have been editing Wikimedia projects for over 20&nbsp;years, including highly advanced user rights (CheckUser on Wikispecies) that has required my personal identification to the Wikimedia Foundation. I have also done grant application/administration/management for about a decade and have been a co-author on several technical reports (see, e.g. my listed publications at [[:s:en:Author:Justin Anthony Knapp]]), with the successful completion of over $10&nbsp;million in grant funding. I have also done some organizing and administrative work. I have not done payroll and personnel management work, but am willing to learn and think that I can pick up these skills with training. I'm looking forward to hearing from you and can provide a proper CV or cover letter as required. ―[[User:Koavf|Justin (<span style="color:grey">ko'''a'''<span style="color:black">v</span>f</span>)]]<span style="color:red">❤[[User talk:Koavf|T]]☮[[Special:Contributions/Koavf|C]]☺[[Special:Emailuser/Koavf|M]]☯</span> 18:36, 13 September 2026 (UTC) *&nbsp; == Problem with accessing .docx formatting template == Hello everyone, I wrote the [[WikiJournal Preprints/Pentagram map]], the peer-reviewing is over and I'm waiting for publication. In the meantime, I checked the [[WikiJournal_User_Group/Editorial guidelines#Creation of PDF files|procedure for PDF file creation]] (which I'll have to do). I have two questions: # The format is .docx, so using Microsoft Word is mandatory. This is quite annoying since it is a proprietary software (in contradiction with wikimedia philosophy), and it is not free. I don't have it, and I'll have to find a solution. # By clicking on the link to access [https://drive.google.com/file/d/0B4LQzkvkbO9YV1lSQnRCV1ppYUE/view?usp=sharing WikiJSci template], I arrive on a Google drive (I'm not a fan this corporation neither) which asks me to identify. For one I don't see why I should, but still I have an account (not everyone does). When I connect I get an "Access denied", saying that I might receive an email from the drive owner to get the permission... I'm quite enthusiast of the whole WikiJournal project, but this bit frustrates me. I understand it might be a little work to fix 1, taking the time to migrate the template to [[w:LibreOffice|LibreOffice]] (shouldn't be impossible, I'm even up for helping). But 2 is really malfunctioning. Could something be done to fix it ? I'm sorry if I sound harsh. I still want to thank the few people maintaining the project, which is great overall. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 20:50, 12 September 2026 (UTC) :@[[User:Regliste|Regliste]] #1 is very tricky to migrate as integrating authors, affiliations, wide tables, figures, references all into one document while maintaining the professional look & feel. While LaTeX is often used in some fields, we try to remain compatible with as many scientific fields under our journal's scope. But we're always welcome for volunteers to make our templates usable by different audiences. As for #2, this is restricted because we don't want the article template to be floating around freely. Imagine if Springer's article template is freely accessible online, what would happen? People can create their unpublished paper and put it into the template to masquerade as a published article. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:12, 29 October 2026 (UTC) ::Thanks for your reply @[[User:OhanaUnited|OhanaUnited]]. ::# I understand why the template is not LaTeX but in some more broadly used typesetting software. However, Microsoft Word is still a proprietary software, which I don't have, and I still don't understand why not using a mainstream free software alternative like LibreOffice.<br> I can easily adapt the formatting template of MSWord into [[W:Typst|Typst]]. This is an open source and easy to handle alternative to LaTeX. Would the project be interested? I would need the MSWord template but then it won't take me long. ::# Thanks for the explanation, I wasn't aware of the risk. But how do I access it then? I was confused by what is written [[WikiJournal User Group/Editorial guidelines#Creation of PDF files|here]], as it seems that the files are freely available. Also, why using Google services, which requires login? It still is a proprietary software, and there are free alternatives. ::Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 09:53, 30 October 2026 (UTC) :::Fair questions. We are definitely interested in offering alternative templates that use open software. I can provide the template via email. As for why the editorial instructions are available online, the role of converting to PDF was previously done by volunteers (and sometimes the author themselves). We found that the formatting and layout were inconsistent across articles. We switched to paid technical editors around 2022 but the instructions stayed on that page. The PDF creation is on indefinitely pause at the moment due to reduced funding from WMF. We have to wait until sufficient funding is restored by WMF grant for us to hire technical editors to create PDFs. As for why it was set up with Google services, it is a large provider (and at least somewhat more reputable back in 2017) that provides [https://www.google.com/nonprofits/offerings/workspace/ free workspace to non-profits] and also compatible with our domain redirect and email address system. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 00:12, 4 November 2026 (UTC) ::::Thanks for the clarifications ! Looking forward to adapt the MSWord template into a Typst one {{=)}}. Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 10:55, 4 November 2026 (UTC) == [[:m:Wikimuseum ~ Art|Wikimuseum]] == Hello, I would like to share a proposal with you that involves the frequent use of scientific articles. I would therefore like to request the option of seeking a review from WikiJournal should a disagreement get out of hand. Using Google Translate from Spanish Atte: [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 04:51, 9 October 2026 (UTC) :Your message lacks details. Can you be specific about what you are seeking help from us for? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:18, 29 October 2026 (UTC) ::Hello, I hope you are doing well. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:14, 29 October 2026 (UTC) ::[[:m:Wikimuseum_~_Art|Wikimuseum]] will require the assistance of WikiJournal, as it will rely—to a significant extent—on scientific papers to develop its emotion-based guides, particularly those linked to the WikiJournal of PPB. Consequently, in instances of editorial conflict that lack a long-term resolution, or when knowledge gaps are identified, we will request that WikiJournal conduct peer-reviewed scientific research. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:18, 29 October 2026 (UTC) :::Thanks for clarifying. WikiJournal of PPB is still in the development phase and there's no firm date on launch. In the interim you can use existing peer-reviewed articles (ideally indexed by reputable services like Scopus, Web of Science, etc.) [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 23:33, 3 November 2026 (UTC) lh0k19dqsh6mkdiuunvoeze6us8jqte 2844446 2844445 2026-11-04T10:56:31Z Regliste 3029369 /* Problem with accessing .docx formatting template */ fixed strange layout problem 2844446 wikitext text/x-wiki [[Category:WikiJournal]] {{WikiJournal_discussions}} {{Archive box| [[/Archive 2014–2016|2014–2016]] <br>[[/Archive 2016 naming vote|2016 naming vote]] <br>[[/Archive 2017|2017]] <br>[[/Archive 2018|2018]] <br>[[/Archive 2019|2019]] <br>[[/Archive 2020|2020]] <br>[[/Archive 2021|2021]] <br>[[/Archive 2022|2022]] <br>[[/Archive 2023-2025|2022-2025]] Discussions may also take place at the <br>'''[https://lists.wikimedia.org/pipermail/wikijournal-en/ public mailing list]'' ([https://lists.wikimedia.org/mailman/listinfo/wikijournal-en Join]) }} {{TOClimit|limit=3}} == [[Wikipedia:WikiJournal article nominations]] is dead == Hello, I wanted to get in touch with you about a part of this process. The submissions board at [[en:Wikipedia:WP:WikiJournal article nominations|WikiJournal article nominations]] is no longer being maintained. [[User:Evolution and evolvability|Evolution and evolvability]] has been inactive since November 2023 and has not responded to multiple attempts of mine to get in touch with him. I submitted an article there more than 4 months ago and have not even received confirmation of its submission. I notice the previous section on the status of the WikiJournals, and I must say that I am also disheartened by my attempt to contribute. I hope that someone on this end of the process will come over to English Wikipedia and fill in this gap so that the article pipeline is no longer so flawed. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 16:12, 29 March 2024 (UTC) :Hi [[User:Fritzmann2002|Fritzmann2002]], thanks for pointing it out, I'm actually in the same situation (article submitted in April 2025). :I saw however that your submitted article has now a preprint page, and, according to the history, it was created by yourself. Did you obtain a permission from the editors for doing so, or can actually any user create directly a preprint page for their submissions? I didn't even tried myself, because it was never clear to me who is actually responsible for converting nominated Wikipedia articles into Wikijournal preprints. I have also explicitly asked the editors, but I have not obtained any reply so far... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:53, 2 September 2025 (UTC) :As long as everything is subordinated to Wikipedia, projects of this type cannot be a trustworthy partner. Yes, WikiJournal would be a great project that could exist on its own, but unfortunately it is not. You want to publish, you find WikiJournal, you write an article and hey, they don't accept articles of this type because it doesn't suit Wikipedia. So at the moment if it is publishable on Wikipedia, publish it directly on Wikipedia, if you need to publish in an article you are out of luck. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 06:42, 3 September 2025 (UTC) ::Sorry, I think we are talking about different problems. The page [[wikipedia:WikiJournal_article_nominations|WikiJournal article nominations]] deals precisely with articles already present on Wikipedia, so this is not the issue. The articles that we were mentioning above have been already written on Wikipedia first, so it's not a matter of not being accepted because they don't suit Wikipedia, but simply of not being converted (yet) into a WikiJournal preprint, which in turn (after passing the peer-review phase) would to a publication in a WikiJournal. ::I had already published an article with this procedure a couple of years ago and everything went smoothly, so I don't see an intrinsic problem in the system, just in this first stage, which requires some manual conversion from Wikipedia to Wikiversity (as I said, I would be willing to do it myself, but I'm not sure if it is allowed). [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 15:40, 3 September 2025 (UTC) :::I see. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 04:42, 4 September 2025 (UTC) :::Yes, this is the issue. The point-man for that part of the process has gone inactive, and now it just isn't done. There needs to be some redundancy in this journal, so that if a volunteer (understandably) can't fulfill their role for an extended period of time there is someone else to step in. As of right now it seems there are several points in the process where a submitted article can just run out steam, through no fault of the author. Nobody wants to be ushering a written piece of work through review for years on end. [[User:Fritzmann2002|Fritzmann2002]] ([[User talk:Fritzmann2002|discuss]] • [[Special:Contributions/Fritzmann2002|contribs]]) 23:36, 17 September 2025 (UTC) ::::Yes, I agree. But then, just to be clear, how was the issue solved for your article [[WikiJournal Preprints/Hypericum sechmenii|Hypericum sechmenii]]? From the history page it seems that you did create the preprint yourself. Is it allowed? Did an editor give you permission to do it? [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 10:11, 18 September 2025 (UTC) :::::Hello everyone, :::::I'm submitting an article that I entirely revamped on Wikipedia ([[w:Pentagram map]]). I filled the form [https://docs.google.com/forms/d/e/1FAIpQLSf-Nu7hjiTeJ5uQ5ozMOIivWZjeyJCPLwAUOuNDP1MVKUbCSQ/viewform WikiJournal submission form]. What should I do now ? @[[User:Francesco Cattafi|Francesco Cattafi]], I see that for [[WikiJournal Preprints/Diffeology]], you created it yourself. Should I do the same ? Did you get any reply ? :::::It's quite saddening to see that a nice project like the WikiJournal seems to be going down... At least from what I can read here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 15:13, 8 December 2025 (UTC) ::::::Hi @[[User:Regliste|Regliste]], I was in doubt what to do, but eventually I got the explicit permission from @[[User:Marshallsumter|Marshallsumter]] to create the preprint page myself (see also the related discussion on [[w:User_talk:Marshallsumter#Importing_Wikipedia_articles_to_Wikipreprints]]). However, since then I haven't received any further reply (see also my question at [[User_talk:OhanaUnited#WikiJournal_article_nominations]]) and the review process hasn't started at all. ::::::I guess therefore that you could probably do the same and create manually the preprint page - at worst it will be modified later by an editor. ::::::As you say, it is indeed quite sad that the WikiJournal project seems to have slowed down/stopped; I still hope that the trend will revert at a certain point... [[User:Francesco Cattafi|Francesco Cattafi]] ([[User talk:Francesco Cattafi|discuss]] • [[Special:Contributions/Francesco Cattafi|contribs]]) 16:04, 11 December 2025 (UTC) :::::::Thanks a lot for your answer... I dearly hope that it will get back on its feet. I'll try to send some mails too, if anything comes up I'll notice it here. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 21:03, 13 December 2025 (UTC) ::::::::Indeed, there's a long backlog in this process. I added to the top of the nomination page in Wikipedia ''"There is currently a '''long backlog''' of articles in WikiJournal. Please consider contributing as associate editor in order to help coordinate peer reviews for current submissions. See [[WikiJournal User Group/Editorial guidelines|WikiJournal editorial guidelines]]''". [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:46, 10 September 2026 (UTC) :::::::::In my case, it worked ! See [[WikiJournal Preprints/Pentagram map]]. The peer-reviewing is over, I'm just waiting for the publication. The overall process took long, but it's understandable given the lack of associate editors. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 14:27, 11 September 2026 (UTC) == Discover CapX: New Design, Features, and Ways to Connect == Hello {{PAGENAME}}! My name is [[User:AJurno (WMB)|Amanda Jurno]] and I’m writing to you on behalf of the [[m:Capacity Exchange|Capacity Exchange (CapX) team]]. We would like to invite you and your community to start using the [[toolforge:capx|CapX tool]]. [[File:GIF of CapX features - November 2025 - Let's Connect.gif|right|thumb|300px]] CapX is a platform designed for Wikimedians around the world to connect through skills and collaboration. It offers a simple and user-friendly way to find and engage with people who can offer specific expertise, helping make collaboration across the movement more efficient and accessible. If you’d like a clearer sense of where we’re headed, you can read more about our ''Vision and Purpose [[:File:Capacity Exchange's Vision & Purpose.pdf|here]]'''. We’ve also prepared a simple visualisation of [[:File:What is the Capacity Exchange 01.pdf|how CapX works]]. Additional documentation, FAQs, tutorials, and how-to videos are available on our [[m:Capacity Exchange|Meta-Wiki page]]. The more your community joins CapX, the clearer your view becomes of how capacity-building is growing across your region via the [[toolforge:capx/data_analytics_dashboard|CapX's Data Analytics dashboard]]. If you experience any difficulties using the tool, you can consult our [[m:Capacity Exchange/User Guide|User Guide]], which includes step-by-step tutorials and short videos explaining each feature. To get in touch with the CapX team, share feedback, or suggest improvements, feel free to email us at capx@wmnobrasil.org. For quick questions and updates, you can also join our [https://t.me/CapacityExchange Telegram channel]. '''We would be delighted to have {{PAGENAME}} join CapX’s growing network'''. Creating your organization profile only takes a few minutes and helps other affiliates discover your expertise, initiatives, and potential areas for collaboration. [[:File:CapX - Create an Organizational profile.png|Here is what we need from you before you can start]]. Finally, we invite you to subscribe to our newsletter channel to receive regular updates about CapX and the Capacity Exchange project - [[m:Capacity Exchange/Newsletter|click here to subscribe]]. We hope to see you exchanging soon! Sincerely, [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 01:37, 31 March 2026 (UTC) :I am setting up an individual profile. I noticed that "Wikiversity" is not a Capacity that can be listed (but "Wikipedia" is a capacity). Could Wikiversity be added? :https://capx.toolforge.org/profile/Jtneill -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 11:27, 31 March 2026 (UTC) : ping [[User:AJurno (WMB)|AJurno (WMB)]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 10:34, 24 May 2026 (UTC) ::Hello @[[User|Jtneill]], thank you for pinging me! I hadn’t seen your reply. Thank you so much for letting me know that — I was sure Wikiversity was already listed as a skill, but it actually wasn’t. I’m adding it now. Please feel free to contact me again anytime, despite my long absence hehehehe [[User:AJurno (WMB)|AJurno (WMB)]] ([[User talk:AJurno (WMB)|discuss]] • [[Special:Contributions/AJurno (WMB)|contribs]]) 17:27, 26 May 2026 (UTC) == Towards Wikiversity's Ethics policy == I think you might be interested [[Wikiversity:Colloquium#Towards an Ethics policy|in this]] and you could also add interesting perspectives from ethics of scientifical research. [[User:Juandev|Juandev]] ([[User talk:Juandev|discuss]] • [[Special:Contributions/Juandev|contribs]]) 08:02, 9 June 2026 (UTC) == Call for interest: Administrative Officer == WikiJournal is seeking expressions of interest in a new part-time, paid '''Administrative Officer''' position. We are initially sharing this opportunity within the WikiJournal community because familiarity with WikiJournal, Wikimedia, open licensing or academic publishing would be particularly valuable. The Administrative Officer would support WikiJournal's day-to-day organizational work, including: * Setting up and administering a system for tracking contractor hours and issuing payments. * Coordinating the contracting, onboarding, timekeeping and payment of technical editors and other contractors. * Maintaining financial, contractor and administrative records. * Assisting with grant administration, budget tracking and reporting. * Following up on board action items, deadlines and recurring obligations. * Supporting recruitment and other operational tasks as needed. The position is a remote, flexibly scheduled contractor role averaging approximately '''6 hours per week'''. Compensation is proposed at '''US$25 per hour''', with up to approximately '''320 hours (US$8,000) available over the year'''. Workload may vary depending on contracting, reporting and grant-related deadlines. Applicants may be based internationally, although appointment will depend on WikiJournal being able to establish a practical and legally appropriate contracting and payment arrangement in the applicant's country of residence. The complete responsibilities, administrative arrangements and desirable experience are described on the [[WikiJournal User Group/Administrative officer|Administrative Officer role page]]. Useful experience may include administrative organization, bookkeeping or financial administration, contractor or personnel coordination, nonprofit or grant administration, Wikimedia participation, academic publishing, and open-access work. Applicants are not expected to have experience in every listed area. === Expressions of interest === If you're interested, please make an entry below by '''30 September 2026''' with: * A concise description of relevant experience. * Their connection to WikiJournal or related communities, if any. * Their general availability. Expressions of interest received after this date may still be considered if the position has not yet been filled. Recommendations of other potentially suitable candidates are also welcome. Shortlisted applicants may be invited to an informal interview with several WikiJournal participants. Final selection will be made by consensus of the WikiJournal Administrative Board. [[User:Mikael Häggström|Mikael Häggström]] ([[User talk:Mikael Häggström|discuss]] • [[Special:Contributions/Mikael Häggström|contribs]]) 19:22, 10 September 2026 (UTC) *I'm interested in the work. I currently work in an administrative executive position and have worked remotely and asychronously for a decade. I have been editing Wikimedia projects for over 20&nbsp;years, including highly advanced user rights (CheckUser on Wikispecies) that has required my personal identification to the Wikimedia Foundation. I have also done grant application/administration/management for about a decade and have been a co-author on several technical reports (see, e.g. my listed publications at [[:s:en:Author:Justin Anthony Knapp]]), with the successful completion of over $10&nbsp;million in grant funding. I have also done some organizing and administrative work. I have not done payroll and personnel management work, but am willing to learn and think that I can pick up these skills with training. I'm looking forward to hearing from you and can provide a proper CV or cover letter as required. ―[[User:Koavf|Justin (<span style="color:grey">ko'''a'''<span style="color:black">v</span>f</span>)]]<span style="color:red">❤[[User talk:Koavf|T]]☮[[Special:Contributions/Koavf|C]]☺[[Special:Emailuser/Koavf|M]]☯</span> 18:36, 13 September 2026 (UTC) *&nbsp; == Problem with accessing .docx formatting template == Hello everyone, I wrote the [[WikiJournal Preprints/Pentagram map]], the peer-reviewing is over and I'm waiting for publication. In the meantime, I checked the [[WikiJournal_User_Group/Editorial guidelines#Creation of PDF files|procedure for PDF file creation]] (which I'll have to do). I have two questions: # The format is .docx, so using Microsoft Word is mandatory. This is quite annoying since it is a proprietary software (in contradiction with wikimedia philosophy), and it is not free. I don't have it, and I'll have to find a solution. # By clicking on the link to access [https://drive.google.com/file/d/0B4LQzkvkbO9YV1lSQnRCV1ppYUE/view?usp=sharing WikiJSci template], I arrive on a Google drive (I'm not a fan this corporation neither) which asks me to identify. For one I don't see why I should, but still I have an account (not everyone does). When I connect I get an "Access denied", saying that I might receive an email from the drive owner to get the permission... I'm quite enthusiast of the whole WikiJournal project, but this bit frustrates me. I understand it might be a little work to fix 1, taking the time to migrate the template to [[w:LibreOffice|LibreOffice]] (shouldn't be impossible, I'm even up for helping). But 2 is really malfunctioning. Could something be done to fix it ? I'm sorry if I sound harsh. I still want to thank the few people maintaining the project, which is great overall. [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 20:50, 12 September 2026 (UTC) :@[[User:Regliste|Regliste]] #1 is very tricky to migrate as integrating authors, affiliations, wide tables, figures, references all into one document while maintaining the professional look & feel. While LaTeX is often used in some fields, we try to remain compatible with as many scientific fields under our journal's scope. But we're always welcome for volunteers to make our templates usable by different audiences. As for #2, this is restricted because we don't want the article template to be floating around freely. Imagine if Springer's article template is freely accessible online, what would happen? People can create their unpublished paper and put it into the template to masquerade as a published article. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:12, 29 October 2026 (UTC) ::Thanks for your reply @[[User:OhanaUnited|OhanaUnited]]. ::# I understand why the template is not LaTeX but in some more broadly used typesetting software. However, Microsoft Word is still a proprietary software, which I don't have, and I still don't understand why not using a mainstream free software alternative like LibreOffice.<br> I can easily adapt the formatting template of MSWord into [[W:Typst|Typst]]. This is an open source and easy to handle alternative to LaTeX. Would the project be interested? I would need the MSWord template but then it won't take me long. ::# Thanks for the explanation, I wasn't aware of the risk. But how do I access it then? I was confused by what is written [[WikiJournal User Group/Editorial guidelines#Creation of PDF files|here]], as it seems that the files are freely available. Also, why using Google services, which requires login? It still is a proprietary software, and there are free alternatives. ::Best, [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 09:53, 30 October 2026 (UTC) :::Fair questions. We are definitely interested in offering alternative templates that use open software. I can provide the template via email. As for why the editorial instructions are available online, the role of converting to PDF was previously done by volunteers (and sometimes the author themselves). We found that the formatting and layout were inconsistent across articles. We switched to paid technical editors around 2022 but the instructions stayed on that page. The PDF creation is on indefinitely pause at the moment due to reduced funding from WMF. We have to wait until sufficient funding is restored by WMF grant for us to hire technical editors to create PDFs. As for why it was set up with Google services, it is a large provider (and at least somewhat more reputable back in 2017) that provides [https://www.google.com/nonprofits/offerings/workspace/ free workspace to non-profits] and also compatible with our domain redirect and email address system. [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 00:12, 4 November 2026 (UTC) ::::Thanks for the clarifications ! Looking forward to adapt the MSWord template into a Typst one :) [[User:Regliste|Regliste]] ([[User talk:Regliste|discuss]] • [[Special:Contributions/Regliste|contribs]]) 10:55, 4 November 2026 (UTC) == [[:m:Wikimuseum ~ Art|Wikimuseum]] == Hello, I would like to share a proposal with you that involves the frequent use of scientific articles. I would therefore like to request the option of seeking a review from WikiJournal should a disagreement get out of hand. Using Google Translate from Spanish Atte: [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 04:51, 9 October 2026 (UTC) :Your message lacks details. Can you be specific about what you are seeking help from us for? [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 15:18, 29 October 2026 (UTC) ::Hello, I hope you are doing well. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:14, 29 October 2026 (UTC) ::[[:m:Wikimuseum_~_Art|Wikimuseum]] will require the assistance of WikiJournal, as it will rely—to a significant extent—on scientific papers to develop its emotion-based guides, particularly those linked to the WikiJournal of PPB. Consequently, in instances of editorial conflict that lack a long-term resolution, or when knowledge gaps are identified, we will request that WikiJournal conduct peer-reviewed scientific research. [[User:Jackie SMG|Jackie SMG]] ([[User talk:Jackie SMG|discuss]] • [[Special:Contributions/Jackie SMG|contribs]]) 16:18, 29 October 2026 (UTC) :::Thanks for clarifying. WikiJournal of PPB is still in the development phase and there's no firm date on launch. In the interim you can use existing peer-reviewed articles (ideally indexed by reputable services like Scopus, Web of Science, etc.) [[User:OhanaUnited|<b><span style="color: #0000FF;">OhanaUnited</span></b>]][[User talk:OhanaUnited|<b><span style="color: green;"><sup>Talk page</sup></span></b>]] 23:33, 3 November 2026 (UTC) svhvzi6i49cwswzeqhfhh4jsxsvc1l0 4 162205 2844207 2842690 2026-11-03T14:23:20Z MediaWiki message delivery 983498 /* Tech News: 2026-45 */ new section 2844207 wikitext text/x-wiki {{Archive box|[[/2014/]] · [[/2015/]] · [[/2016/]] · [[/2017/]] · [[/2018/]] · [[/2019/]] · [[/2020/]] · [[/2021/]] · [[/2022/]] · [[/2023/]] · [[/2024/]] · [[/2025/]]}} __TOC__ {{Clear}} == Tech News: 2026-31 == <section begin="technews-2026-W31"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/31|Translations]] are available. '''Updates for editors''' * [[File:Maki-gift-15.svg|12px|link=|class=skin-invert|Wishlist item]] [[mw:Special:MyLanguage/ContentTranslation|Content Translation]] now supports dark mode, fulfilling a [[m:Community Wishlist/W544|Community Wishlist request]]. This brings the tool in line with the accessibility features available in the Vector 2022 and Minerva skins, helping reduce visual fatigue for users translating content. [https://phabricator.wikimedia.org/T367077] * DiscussionTools' source mode and the 2017 wikitext editor will now offer autocomplete for links (<bdi lang="zxx" dir="ltr"><code><nowiki>[[</nowiki></code></bdi>), templates (<bdi lang="zxx" dir="ltr"><code><nowiki>{{</nowiki></code></bdi>), HTML and parser tags (<bdi lang="zxx" dir="ltr"><code><nowiki><</nowiki></code></bdi>), and magic words (<bdi lang="zxx" dir="ltr"><code><nowiki>__</nowiki></code></bdi>), making it quicker and easier to insert links, templates, and other wiki markup while editing. [https://phabricator.wikimedia.org/T432400] * The [[mw:Special:MyLanguage/Readers/Reader Growth/Mobile page previews|Readers Growth team]] has concluded its experiment with mobile page previews and will not roll out the feature. Page Previews are a pop-up bottom sheet that appears when readers tap a blue link, showing a thumbnail, lead paragraph, and an option to open the article. The experiment showed flat retention and negative indicator metrics, suggesting that mobile web readers preferred navigating directly to linked articles rather than using page previews. * The Reader Experience team has seen encouraging early results from the [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists feature]], with 93% of participating users reporting that it was useful. Reading Lists help active readers save articles for future reading and support their learning goals on Wikimedia projects. The team plans further improvements before expanding the feature to more users. * The [[mw:Special:MyLanguage/Wikimedia Apps/Team/Explore Feed Refresh|Explore Feed Refresh]] initiative was tested with new and casual Wikipedia app readers. The refreshed feed helps readers discover new and relevant content. After a 10.5% increase in engagement with the feed, Wikimedia Apps team has decided to scale the Home Feed redesign to iOS with the learnings from the Android release applied. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where subject names in the Article Guidance feature were displayed with incorrect capitalization on French Wikipedia, has now been fixed. Subject names will now follow the correct capitalization rules for the language. [https://phabricator.wikimedia.org/T427201] '''Updates for technical contributors''' * After running several [[mw:Special:MyLanguage/Contributors/Account Creation Experiments|Account Creation Experiments]] to improve registration completion rates, a new version of the username field on [[Special:CreateAccount|Create Account]] has been rolled out. It includes [[:c:File:Create account - July 2026 updates.png|a popover summarizing the username policy]] to provide clearer guidance during account creation. As part of this change, the messages <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-helpusername</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-help</nowiki></code></bdi> that several communities have configured will no longer be used. If communities want to customize the guidance shown in the new popover, they can instead edit the following messages: <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-policy-popover-bullet1</nowiki></code></bdi>, <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-policy-popover-bullet2</nowiki></code></bdi>, and <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-policy-popover-bullet3</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T430604] * Later this week, the [[mw:Special:MyLanguage/Help:Extension:CodeMirror|CodeMirror syntax highlighter]] will offer [[w:en:Theme (computing)|themes]]. The themes can be picked from a dropdown menu in the full [[mw:Special:MyLanguage/Help:Extension:CodeMirror#CodeMirror preferences|CodeMirror preferences]] dialog. For wikitext, available themes are default, colorblind-friendly (previously the colorblind preference option on [[Special:Preferences#mw-prefsection-editing]]) and no-highlighting. For code languages (i.e., CSS/JavaScript/JSON/Vue/Lua), there are several themes available. These same themes will eventually be available for wikitext, too. [https://phabricator.wikimedia.org/T163533] * From now on, wikis can restrict editing in the "User" namespace to only the page owner and certain user groups. [[mw:Special:MyLanguage/Manual:$wgRestrictUserPageEditing|Read the configuration documentation]] to learn more. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.14|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/31|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W31"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:49, 27 July 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30856308 --> == Tech News: 2026-32 == <section begin="technews-2026-W32"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/32|Translations]] are available. '''Updates for editors''' * The [[mw:Special:MyLanguage/Readers/Reader Experience|Reader Experience team]] has developed a [https://82db7c8d4b.catalyst.wmcloud.org/w/index.php?title=Regent%27s_Park&uselang=de patch demo] that wraps the page toolbar onto two lines when there is not enough horizontal space for all the buttons. This aims to reduce crowding in the Vector 2022 toolbar, which can occur on some language Wikipedias at certain screen widths. [https://phabricator.wikimedia.org/T429518] * The Reader Experience team is planning to launch [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists]], a [[m:Special:MyLanguage/Community Wishlist Survey 2021/Mobile and apps/Have Apps reading lists available on Destop/Mobile|Community Wishlist item]], which is currently available to try in beta, as a full feature in September. Before then, volunteer translator help is needed for [https://translatewiki.net/w/i.php?title=Special%3ATranslate&group=ext-readinglists&filter=&action=translate string translations] into a number of languages. The feature supports reading and learning goals on Wikipedia. * Next week, the table of contents on Wikimedia Commons file pages will be improved by consolidating the file page table of contents with the page table of contents. This will make it easier to understand a file page’s structure, navigate to specific sections, and share links to individual sections. [https://phabricator.wikimedia.org/T332644] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:24}} community-submitted {{PLURAL:24|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where some [[w:TIFF|TIFF]] images failed to load after clicking their thumbnail, causing a broken image to be displayed instead of the full-size image, has now been fixed. [https://phabricator.wikimedia.org/T429326] '''Updates for technical contributors''' * The variable and function selector in AbuseFilter has been updated to support search and autocomplete. It will allow filter maintainers to find the desired variable or function more quickly. [https://phabricator.wikimedia.org/T323698] * The MJPEG and VP8 formats are removed from the video player. The MP4 format (MPEG-4 Part 2) is added instead, which provides higher quality videos to older iPhone devices. It may take a few weeks to retroactively update all existing videos. The default format for modern devices stays the same (VP9/WebM). [https://phabricator.wikimedia.org/T358266] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.15|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/32|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W32"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:46, 3 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30872536 --> == Tech News: 2026-33 == <section begin="technews-2026-W33"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/33|Translations]] are available. '''Updates for editors''' * [[File:Maki-gift-15.svg|12px|link=|class=skin-invert|Wishlist item]] A new ChartWizard is [[c:Special:ChartWizard/Data:Example.Pie.chart|now available on Wikimedia Commons]] for users interested in creating charts from their own data. The wizard makes the [[mw:Special:MyLanguage/Extension:Chart|Chart extension]] more beginner-friendly by allowing editors to create charts, such as bar and pie charts, without needing to use JSON. Users can still switch to the JSON editor if they prefer. Feedback on the new tool is welcome on the [[m:Talk:Community Wishlist/W414|wish talk page]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:19}} community-submitted {{PLURAL:19|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where the Wikipedia iOS app’s Picture of the Day widget displayed the same image every day instead of updating daily, has now been fixed. [https://phabricator.wikimedia.org/T430692] '''Updates for technical contributors''' * [[mw:Special:MyLanguage/Extension:Math|Math formula]] SVG images will soon be generated in the browser instead of on the server. MathML continues to be generated on the server and renders in the browser without JavaScript. Wikibooks will see this change on 12 August, Wikisource on 19 August and Wikipedia from 20-27 August. You can try this by selecting "{{int:Mw-math-mathjax}}" in your preferences. This change is part of [[mw:Special:MyLanguage/RESTBase/deprecation|deprecating RESTBase]] and [[phab:T431372|deprecating Mathoid]]. [https://phabricator.wikimedia.org/T271001] * Category pages will soon support sorting entries by the time they are added to a category. This will make it easier to find recently or long-standing categorized pages. It will also improve workflows for maintenance categories such as deletion backlogs and other time-based review tasks. You can use <bdi lang="zxx" dir="ltr"><code><nowiki>cldsort=timestamp</nowiki></code></bdi> URL argument in category view to sort the entries. [https://phabricator.wikimedia.org/T433768] * [[mw:Special:MyLanguage/Extension:Gadgets|Gadgets]] and user scripts on Wikimedia wikis may now use [[phab:T395347|ES2018 features]] and [[phab:T419142|ES2019 features]] in JavaScript code. Previously, the platform only allowed up to ES2017. MediaWiki validates the source code to protect functionality from syntax errors and to ensure scripts are valid in all [[mw:Special:MyLanguage/Compatibility#Browser_support_matrix|supported browsers]]. [https://phabricator.wikimedia.org/T419142] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.16|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/33|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W33"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:45, 10 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30901051 --> == Tech News: 2026-34 == <section begin="technews-2026-W34"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/34|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Help:Extension:CampaignEvents/Registration/Worklist|Worklist feature]] for the Event Registration tool is now live on all Wikimedia wikis. With Worklist, event organizers can add the articles their event will focus on directly to the event page. The Worklist also powers [[mw:Special:MyLanguage/Help:Extension:CampaignEvents/Registration/Worklist#How Event Pathways uses the worklist|Event Pathways]] which notifies other editors of the upcoming or ongoing event when they edit an article featured in the event's Worklist. This is the minimum viable version (MVP), and feedback is welcome. Organizers are encouraged to try the feature. A hands-on [[m:Special:MyLanguage/Event:Worklist Setup Workshop: Get Your Event Ready|Worklist Setup Workshop]] will take place on 18 August at 16:00 UTC and 19 August at 11:00 UTC. '''Updates for editors''' * [[Special:ShortPages]] displays short pages by their size, but in many cases it gets filled with disambiguations and soft redirects, making it harder to find the short articles themselves. Starting this weekend, you will be able to choose not to include an article in the special page by adding the magic word <bdi lang="zxx" dir="ltr"><code><nowiki>__EXPECTSHORTPAGE__</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T433203] * One new wiki has been created: a {{int:project-localized-name-group-wikipedia/en}} in [[d:Q3436680|Bole]] ([[w:bol:|<bdi lang="zxx" dir="ltr"><code><nowiki>w:bol:</nowiki></code></bdi>]]) [https://phabricator.wikimedia.org/T429921] * Starting the week of August 17, the page toolbar will wrap onto two lines when there is not enough horizontal space for all the buttons. This is a [[phab:T429518|fully merged patch from the Reader Experience team]] which aims to reduce crowding in the Vector 2022 toolbar, that may occur on some language Wikipedias at certain screen widths. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:16}} community-submitted {{PLURAL:16|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, uploading large files to Wikimedia Commons has become more stable and less prone to failure following some fixes related to the “Could not acquire lock” upload error. [https://phabricator.wikimedia.org/T386640] '''Updates for technical contributors''' * Debian Bullseye will reach the end of its Long Term Support on 31 August 2026. [[phab:T434103|Some Cloud VPS projects]] still have instances running Debian Bullseye. Maintainers of those projects are encouraged to migrate to Debian Bookworm or Debian Trixie. A [[wikitech:Help:Cloud VPS instance operating system migration|migration guide]] is available to help with the process, and users may also want to consider whether their workload is better suited to Toolforge. If you need help or cannot complete the migration by 31 August, please contact the Cloud VPS admins as soon as possible. [[listarchive:list/cloud-announce@lists.wikimedia.org/thread/RVIPQSYLKMSL5M46JP6NEJVGVE6I2RXQ/|Read more]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.16|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/34|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W34"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:03, 17 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30922806 --> == Tech News: 2026-35 == <section begin="technews-2026-W35"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/35|Translations]] are available. '''Updates for editors''' * The [[Special:CreateAccount|Special:CreateAccount]] page has been simplified as part of ongoing work to modernize the account creation experience. The panel showing project statistics no longer appears next to the form on desktop and mobile web. Multiple account creation experiments show that a simpler form helps newcomers complete registration. [https://phabricator.wikimedia.org/T433783] * In order to improve page performance, images now load when they are viewed. This means images lower down an article will not load if a reader never scrolls to that part of the page, which may affect some image-related metrics. [https://phabricator.wikimedia.org/T148047] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:42}} community-submitted {{PLURAL:42|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where image thumbnails in Abstract Wikipedia could fail to display after the corresponding file was moved on Wikimedia Commons, has now been fixed. Thumbnails will now update correctly when files are moved. [https://phabricator.wikimedia.org/T433448] '''Updates for technical contributors''' * User Info card is a feature that helps patrollers see information about user accounts. So far, it has been available only in places such as page history, logs and recent changes. Now, it's possible to [[mw:Special:MyLanguage/Help:Extension:CheckUser#User_Info_card_in_page_content|place it in the page content]] as well, using the <bdi lang="zxx" dir="ltr"><code><nowiki>{{#uic:}}</nowiki></code></bdi> parser function. It can be particularly useful in templates like [[:en:Template:Userlinks|<bdi lang="zxx" dir="ltr"><code><nowiki>{{Userlinks}}</nowiki></code></bdi>]] (or their specialized variants), as it will make it easier to see the context about a user on various noticeboard pages. The card will be displayed only to users who have it enabled in their [[Special:Preferences#mw-input-wpcheckuser-userinfocard-enable|preferences]]. [https://phabricator.wikimedia.org/T424466] * Due to user security and privacy risks, we have disabled access to <bdi lang="zxx" dir="ltr"><code><nowiki>Special:MyPage</nowiki></code></bdi> URLs when specifically using <bdi lang="zxx" dir="ltr"><code><nowiki>action=raw</nowiki></code></bdi>. If you are impacted by this, consider whether you can use an alternative approach. <bdi lang="zxx" dir="ltr"><code><nowiki>Special:MyPage</nowiki></code></bdi> URLs can still be accessed and used without <bdi lang="zxx" dir="ltr"><code><nowiki>action=raw</nowiki></code></bdi>. Specified user page URLs (e.g. <bdi lang="zxx" dir="ltr"><code><nowiki>User:Myusername</nowiki></code></bdi>) can still be used with <bdi lang="zxx" dir="ltr"><code><nowiki>action=raw</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T120386] * Due to an update, the thumbnailing software has been improved. This includes upgrading <bdi lang="zxx" dir="ltr"><code><nowiki>librsvg</nowiki></code></bdi> to 2.60 and <bdi lang="zxx" dir="ltr"><code><nowiki>ImageMagick</nowiki></code></bdi> to 7, as well as resolving a number of long-standing thumbnailing bugs like rendering errors. [https://phabricator.wikimedia.org/T419815#12222841] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.17|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/35|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W35"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:45, 24 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30961208 --> == Tech News: 2026-36 == <section begin="technews-2026-W36"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/36|Translations]] are available. '''Weekly highlight''' * A new format for the Community Wishlist is open for feedback. You can [[m:Special:MyLanguage/Community Wishlist/Community Wishlist 2027|read the proposed ideas on Meta]]. This new process plans to improve how wishes are triaged, voted on, and prioritized in a way that is transparent and balanced across project families and language editions. This consultation is open for two weeks. '''Updates for editors''' * The latest release of the Wikipedia Android app includes updates to the Saved feature, bringing the app’s saving experience closer to iOS and Web. The update redesigns the Saved tab with an “All articles” view, removes the default “Saved” reading list, renames reading lists to “Collections,” and modernizes the article-saving experience. [https://phabricator.wikimedia.org/T420788] * The [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists]] feature was enabled for all logged-in users on Bengali, Chinese, Czech and Vietnamese Wikipedias on August 25, after several months as a beta feature. Reading Lists will be available to all logged-in users on Arabic, French and Indonesian Wikipedias on September 1, followed by English Wikipedia on September 14, and all other Wikipedia wikis on September 28. * At the end of the month, some logged-out readers on Bengali, Czech, Persian, English, and Polish Wikipedias using the Minerva skin on mobile will see an [[mw:Special:MyLanguage/Readers/Reader_Growth/Minimal_Minerva|updated navigation bar]] in an [[w:A/B test|A/B test]]. The test will compare the current navigation bar with a new version designed to make it easier to find information more quickly. The goal is to determine whether these changes encourage readers to return more often. This experiment will not change the experience for logged-in readers and/or editors. * Editors who maintain redirects, templates, and categories used on redirect pages now have improved ways for finding and curating redirects. Previously, redirects pages could not be searched. Two new search keywords, <bdi lang="zxx" dir="ltr"><code><nowiki>onlyredirects:</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>withredirects:</nowiki></code></bdi>, now allow redirects to be searched directly and can be combined with existing keywords such as <bdi lang="zxx" dir="ltr"><code><nowiki>incategory:</nowiki></code></bdi>, <bdi lang="zxx" dir="ltr"><code><nowiki>intitle:</nowiki></code></bdi>, and <bdi lang="zxx" dir="ltr"><code><nowiki>insource:</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T204089] * The ISBN lookup tools for generating citations were recently not working because of external service problems. Developers are working on solutions. [https://phabricator.wikimedia.org/T435179] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where searching for pages by category using <bdi lang="zxx" dir="ltr"><code><nowiki>deepcat</nowiki></code></bdi> could return no results or unrelated results has now been fixed. [https://phabricator.wikimedia.org/T414859] '''Updates for technical contributors''' * The domain of URLs for thumbnails is changing from upload.wikimedia.org to thumb.wikimedia.org. The old URLs will continue to work for the foreseeable future but MediaWiki will advertise the new domain instead. URLs to other types of media such as original files, videos and transcodes will still be served from upload.wikimedia.org. [https://phabricator.wikimedia.org/T427465] * The Wikimedia [https://www.mediawiki.org/w/index.php?api=wmf-math%2Fv1&title=Special%3ARestSandbox Math API] is now deprecated. These endpoints will be fully sunset by the end of September 2026. Developers who call these endpoints should transition to alternative math rendering solutions, such as the native [https://developer.mozilla.org/en-US/docs/Web/MathML MathML] or [https://www.mathjax.org/ MathJax]. Third-party MediaWiki installations that utilize the Math extension for formula rendering are required to upgrade to v1.43+ to avoid disruption of service. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.18|MediaWiki]] '''In depth''' * Read more about [[mw:Special:MyLanguage/Edit_check/TextMatch|TextMatch]] in a Diff post titled, [[diffblog:2026/08/28/custom-edit-suggestions-for-every-wiki-how-communities-are-shaping-suggestion-mode-with-textmatch/|Custom edit suggestions for every wiki: How communities are shaping Suggestion Mode with TextMatch]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/36|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W36"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:53, 31 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30990659 --> == Tech News: 2026-37 == <section begin="technews-2026-W37"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/37|Translations]] are available. '''Updates for editors''' * [[mw:Special:MyLanguage/Help:Growth/Tools/Add_a_link|Add a Link]] has been upgraded for English Wikipedia users with improved detection of links that have different capitalization. This will help reduce ambiguous suggestions caused by differences in capitalization in article titles, including articles about cultural goods. A second phase of improvements is planned, which will also prepare the feature for release in other languages. [https://phabricator.wikimedia.org/T435526#12240876] [https://phabricator.wikimedia.org/T434259] * The [[mw:Special:MyLanguage/Article_guidance|Article guidance]] feature will be enabled by default for junior editors on Simple English and Turkish Wikipedia starting 10 September 2026 following [[mw:Special:MyLanguage/Article_guidance/Updates#Summary_of_experiment_result|an experiment]]. Junior editors with 0 to 99 edits will automatically see the feature when they click a red link or use the "[[tr:Vikipedi:Madde_sihirbazı|Madde oluşturto]]" option on Turkish Wikipedia to create a new article. The change is intended to help junior editors create higher-quality articles that meet each Wikipedia’s standards. [[phab:maniphest/query/z3tcTjmLMxk5/#R|Additional improvements]] will continue based on the experiment results and community feedback. * The [https://pageviews.wmcloud.org Pageviews Analysis] tool which allows users to compare pageviews across multiple pages, turns 10 years old this year and several new features have been added. They include [[toolforge:wikinav|WikiNav]] which provides insights into how readers of Wikipedia explore the content, editing stats in [https://pageviews.wmcloud.org/siteviews?range=latest-30&sites=en.wikipedia.org Siteviews], the ability to [https://pageviews.wmcloud.org/massviews?source=wikiproject&project=en.wikipedia.org lookup articles belonging to a WikiProject], and support for dark mode. [https://phabricator.wikimedia.org/T378549] * A [[mw:Special:MyLanguage/Readers/Reader_Growth/Minimal_Minerva|visually simplified Minerva]] navigation bar is being tested for logged-out readers using mobile web on the Bengali, Czech, English, Farsi, and Polish Wikipedias. The experiment aims to determine whether simplifying the navigation improves reader retention. The test will run from August 31 to September 28, and no action is required from users. * [[m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]] is working on improving [[en:Wikipedia:VisualEditor/Named references|auto-generated reference names in VisualEditor]]. Editors will only notice a slight change starting this week. When adding automatic reference names the numbering will start at <bdi lang="zxx" dir="ltr"><code><nowiki>:1</nowiki></code></bdi> instead of <bdi lang="zxx" dir="ltr"><code><nowiki>:0</nowiki></code></bdi>. Read more on the [[m:WMDE Technical Wishes/References/VisualEditor automatic reference names|project page]]. [https://gerrit.wikimedia.org/r/c/VisualEditor/VisualEditor/+/1332704] * All wikis will be [[m:Special:MyLanguage/Tech/Server switch|read-only for a few minutes]] on September 23. This is planned at 14:00 UTC. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T433363] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:25}} community-submitted {{PLURAL:25|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where [[mw:Special:MyLanguage/Parsoid|Parsoid]] could mishandle nested nowiki tags, causing content to be lost and displaying unwanted text has now been fixed. [https://phabricator.wikimedia.org/T435116] '''Updates for technical contributors''' * Interface administrators can configure gadgets from [[MediaWiki:Gadgets-definition]]. The definition format has been updated and no longer requires the <bdi lang="zxx" dir="ltr"><code><nowiki>ResourceLoader</nowiki></code></bdi> option, as gadgets are always loaded through <bdi lang="zxx" dir="ltr"><code><nowiki>ResourceLoader</nowiki></code></bdi>. This simplifies gadget configuration by removing an option that is no longer necessary, making gadget definitions easier for administrators. [https://phabricator.wikimedia.org/T298199] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.19|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/37|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W37"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:44, 7 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31008437 --> == Tech News: 2026-38 == <section begin="technews-2026-W38"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/38|Translations]] are available. '''Weekly highlight''' * The Future Audiences team has started a [[en:Special:MyLanguage/Wikipedia:Village pump (proposals)#New proposed experiment to let readers know about “Google preferred sources”|discussion on English Wikipedia]] about a proposed new experiment to show a temporary notice about the new [https://blog.google/products-and-platforms/products/search/original-high-quality-content-search/ Google Preferred Sources] feature to Wikipedia readers coming from Google. The experiment is to test whether this notice makes visitors come back to Wikipedia more often. Preferred Sources feature lets users choose websites they trust so Google can highlight content from those sources more prominently in Search and AI experiences. We are interested in testing this on other languages that Google supports and would welcome assistance with starting conversations on other wikis. If interested, please reach out to Future Audiences on the [[m:Special:MyLanguage/Future Audiences/Preferred sources|talk page]]. '''Updates for editors''' * The chat platform Discord is releasing a new self-service framework that websites can use to specify how their links should look when shared on Discord. The Future Audiences team is planning to start using this new framework to improve how Wikipedia links look when shared on Discord, giving better attribution and credit to contributors. The link appearance and behavior won't change in the first phase of this project as we want to first collect some baseline data to assess the impact of future changes. However, if community members who are active on Discord spot any issues, they can reach out on [[phab:tag/future-audiences/|Phabricator]] or [[m:Special:MyLanguage/Future Audiences|Metawiki]]. * The Reader Growth team will be running an experiment to test whether [[mw:Special:MyLanguage/Readers/Reader_Growth/Compact Lead|compacting article lead sections on mobiles]] with the addition of a "read more" button improves reader retention. The test will begin on September 17 on Arabic, Spanish, French, Indonesian, Italian, Japanese, Portuguese, Vietnamese, and Chinese Wikipedias and will run for four weeks. * All wikis will be [[m:Special:MyLanguage/Tech/Server switch|read-only for a few minutes]] on September 23. This is planned at 14:00 UTC. More information will be published in Tech News and will also be posted on individual wikis in the coming week. [https://phabricator.wikimedia.org/T433363] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where [https://wikistats.wmcloud.org/ Wikistats] for Wikipedias was returning an HTTP 500 error and could not be reached, has now been fixed. [https://phabricator.wikimedia.org/T435959] '''Updates for technical contributors''' * Developers who maintain a tool that queries the Wikimedia Commons links tables need to update their code to connect to the new x4 database cluster. The links tables have been moved from the s4 cluster to x4, and will no longer receive updates on s4. The page and redirect tables remain available on both clusters. A wiki replica for the x4 cluster will be set up afterwards. The change is being made because the s4 cluster has grown too large to operate efficiently. You can [[wikitech:Special:MyLanguage/News/2026 Commons links tables database split|read more]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.20|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/38|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W38"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 15:31, 14 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31039826 --> == Tech News: 2026-39 == <section begin="technews-2026-W39"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/39|Translations]] are available. '''Weekly highlight''' * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on Wednesday, 23 September 2026 at [https://zonestamp.toolforge.org/1790172000 14:00 UTC]. This is for the datacenter server switchover backup tests, [[wikitech:Special:MyLanguage/Deployments/Yearly calendar|which happen twice a year]]. During the switchover, all Wikimedia website traffic is shifted from one primary data center to the backup data center to test availability and prevent service disruption even in emergencies. [https://phabricator.wikimedia.org/T433363] '''Updates for editors''' * The Growth team tested a new post-edit notice designed to [[mw:Special:MyLanguage/Contributors/Account Creation Experiments#4. Encourage Temporary Accounts to Register|encourage Temporary Account holders to register for a permanent account]]. The new notice replaced multiple dialogs and a simultaneous welcome notification with a single message highlighting the benefits of creating an account. The experiment increased permanent account creation from 1.94% to 3.66%, an 87% relative increase. The change will now be released to all wikis. [https://phabricator.wikimedia.org/T433551] * For Wikipedia editors using the [[Special:Preferences#mw-prefsection-betafeatures|"Suggestion mode" Beta Feature]], there is a [[Special:Preferences#mw-input-wpvisualeditor-editcheck-experimental|new opt-in user preference]] for showing "experimental" edit checks and suggestions. These types are listed at [[Special:EditChecks#experimental-checks|Special:EditChecks]], and are intended for early developer-testing and for gathering feedback from experienced users. Administrators can change the [[mw:Special:MyLanguage/Edit check/Configuration|configuration details]] for each suggestion as usual. Administrators can also [[mw:Special:MyLanguage/Help:Suggestion mode#Experimental Suggestions|use this feature]] to help test their community's ideas for locally created checks and suggestions. Experimental types will have a more distinct visual style later this week. [[mw:Talk:VisualEditor/Suggestion Mode|Feedback is welcome]]. * The [[m:CEE Technical Village Pump|CEE Technical Village Pump]] has been launched as a space for technical discussions and collaboration among Wikimedia communities in Central and Eastern Europe. * A new tool, [[mw:Special:MyLanguage/Language Onboarding and Development/Starter kit|Starter Kit]], is now available for new and small language Wikipedia communities. It brings together guided tasks, tools, and resources to help communities get started, monitor their progress, and collaborate with the broader Wikimedia community. Starter Kit is hosted on Wikimedia Toolforge and is designed for Wikipedias with fewer than 50,000 articles. Learn more about how Starter Kit works and how communities have been using it in [[diffblog:2026/09/18/introducing-starter-kit-for-new-and-small-language-wikipedias/|this Diff blog post]]. * The Reader Growth team is launching a retest of the [[mw:Special:MyLanguage/Readers/Reader Growth/Image Browsing|image carousel experiment]]. The retest will use three new versions of the design, updated based on community feedback. The team will assess results and determine with communities whether or not to proceed with the feature. The experiment will begin the week of September 28 and will run on Arabic, Bengali, Chinese, Czech, English, Farsi, French, German, Indonesian, Japanese, Polish, Portuguese, Spanish, Swedish, and Vietnamese Wikipedias. * After successful rollouts to Arabic, Bengali, Chinese, Czech, English, French, Indonesian, and Vietnamese Wikipedias, the [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists feature]] from the Reader Experience team will be available to all logged-in users on all Wikipedia wikis starting September 28. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where the mentor status script repeatedly updated mentors’ status even when nothing had changed, creating unnecessary Recent Changes entries, has now been fixed. [https://phabricator.wikimedia.org/T436659] '''Updates for technical contributors''' * The <bdi lang="zxx" dir="ltr"><code><nowiki>abusefilters</nowiki></code></bdi> list query API, used to retrieve specific details about active or historical abuse filters configured on a wiki, has been updated to support the <bdi lang="zxx" dir="ltr"><code><nowiki>formatversion=2</nowiki></code></bdi> configuration parameter, thereby leading to breaking changes to the API response. All users who maintain user-scripts or other code need to check if they use the <bdi lang="zxx" dir="ltr"><code><nowiki>abusefilters</nowiki></code></bdi> list query API, and respond to any breaking changes. [https://phabricator.wikimedia.org/T435828] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.21|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/39|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W39"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 11:56, 27 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31085309 --> == Tech News: 2026-40 == <section begin="technews-2026-W40"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/40|Translations]] are available. '''Updates for editors''' * Users of default skins on desktop and mobile web (Vector 2022 and Minerva respectively) will now be informed if the search suggestions displayed as they type into Search come from page redirects. Previously, users could get confused when the top search suggestions did not match exactly what they had typed. The new redirect notice clarifies that these suggestions are not random, but related to the search. The suggested pages may be redirects to the most relevant destination articles being searched for. [https://phabricator.wikimedia.org/T303013] * Logged-out Wikipedia users on mobile web will begin to see a bookmark button for saving articles to their [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|reading lists]] instead of the current Watchstar button. When clicked, the bookmark button prompts users to log in or create an account to save an article for later. An earlier experiment found that the bookmark icon was four times more likely than the Watchstar button to encourage logged-out users to create an account. This change is part of efforts to encourage more readers to become account holders and use features that help them save and return to content. [https://phabricator.wikimedia.org/T438769] * An experiment will begin on September 29 on Spanish, Arabic, English, and French Wikipedias to simplify the experience users encounter immediately after account creation. The test will explore whether removing friction from the current Welcome Survey helps new users understand what to do next more easily. The experiment will run through the end of October. [https://phabricator.wikimedia.org/T430058] * The [[m:Special:MyLanguage/Product and Technology Advisory Council|Product and Technology Advisory Council]] has put out a call for the community to suggest topics that it should consider and discuss with the Wikimedia Foundation. Editors and technical contributors are invited to add topics to [[m:Talk:Product and Technology Advisory Council|the council's talk page]]. * Later this week, it will be possible for communities to configure [[mw:Special:MyLanguage/Help:Edit check|Edit Checks and Suggestions]] so that they are [[mw:Special:MyLanguage/Edit check/Configuration#extraNamespaces|shown within additional namespaces]], such as a <bdi lang="zxx" dir="ltr"><code><nowiki>Draft:</nowiki></code></bdi> namespace. [[mw:Talk:VisualEditor/Suggestion Mode|Feedback is welcome]]. * A bug in the [[m:Special:GlobalWatchlist|Global Watchlist]] is causing the page to fail to load for users that have unseen changes on Wikimedia Commons. Developers are working on a fix. Until then, affected users can follow the workarounds described in the [[mw:Special:MyLanguage/Extension:GlobalWatchlist#GlobalWatchlist temporarily broken for users with Wikimedia Commons|relevant]] help section. * New magic words <bdi lang="zxx" dir="ltr"><code><nowiki>{{CATEGORYSORT:TIMESTAMP}}</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>{{CATEGORYSORT:RTIMESTAMP}}</nowiki></code></bdi> are now available for use. They are able to change the default sorting of categories to be based on timestamp of categorization. [https://phabricator.wikimedia.org/T433768] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:20}} community-submitted {{PLURAL:20|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where [https://wikistats.wmcloud.org/ Wikistats] for Wikipedias was not reachable has now been fixed. [https://phabricator.wikimedia.org/T435959] '''Updates for technical contributors''' * The datacenter switchover, scheduled on September 23, has been postponed. [[diffblog:2025/03/12/hear-that-the-wikis-go-silent-twice-a-year/|The equinox exercise]] revealed capacity issues, preventing the switch of all services to the other datacenter. The process has been paused, prioritizing investigating that issue, to ensure that we continue to be able to serve our users reliably. A new exercise will be scheduled. Meanwhile, all traffic and edits continue to work as usual. * On September 23, a power loss briefly affected all wikis, creating intermittent issues on both reading and editing modes. This also affected Gerrit. This is unrelated to the datacenter switchover postponement. [https://www.wikimediastatus.net/incidents/9fm19t8qykk8] * [[mw:Special:MyLanguage/Help:Extension:Produnto|Produnto]] has been deployed to mediawiki.org and [[phab:T421436|some Indic language wikis]]. We want to hear your feedback on this experimental product. Produnto allows users to use Lua modules hosted in [[gitlab:repos/lua|Wikimedia's GitLab]]. It simplifies the sharing of Lua code between wikis. Instead of copying each individual Lua module from one wiki to another, users will be able to easily share packages across all wikis. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.22|MediaWiki]] '''Meetings and events''' * A [[m:Event:Cross-wiki Code Collaboration Workshop|Cross-wiki code collaboration workshop]] will be held online on October 2 at 12:30 UTC, bringing together South Asian technical contributors to learn about Produnto and begin piloting it on Hindi, Punjabi, Odia, Telugu, and Malayalam Wikipedias. Produnto is a package manager for deploying Lua modules hosted on GitLab to Wikimedia wikis, and was recently deployed on some pilot wikis. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/40|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W40"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 10:49, 28 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31092225 --> == Tech News: 2026-41 == <section begin="technews-2026-W41"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/41|Translations]] are available. '''Weekly highlight''' * The process for this year’s Community Wishlist [[m:Special:MyLanguage/Community Wishlist/Community Wishlist 2027#Updated Community Wishlist Process 2027/2028|has been published]], incorporating community feedback. The wish submission process will [[m:Special:MyLanguage/Community Wishlist/FAQ#What is the deadline for submitting wishes?|end on November 8]]. This year, [[m:Special:MyLanguage/Community Wishlist/Community Wishlist 2027/Working group|a working group (open for volunteering)]] that includes community members familiar with the technical aspect of our wikis alongside Wikimedia Foundation staff, will take care of the [[m:Special:MyLanguage/Community Wishlist/FAQ#What is triage?|triage process]]. The triage is expected to be completed by late November. Votes for wishes will start in January. '''Updates for editors''' * Editors using the [[mw:Special:MyLanguage/VisualEditor|visual editor]] will now see a warning when they paste text that is likely to have initially been copied from one of five external generative AI chatbots into Wikipedia. This feature is known as [[mw:Special:MyLanguage/Edit check/LLM Paste Check|LLM Paste Check]]. It is a type of [[mw:Special:MyLanguage/Edit check|Edit Check]] that is community configurable. The check looks for markers in the copied HTML and is not using content watermark detection. Edits will also [[mw:Special:MyLanguage/Edit check/LLM Paste Check#Edit tags|be tagged]] so that patrollers can review them more closely. The feature helps newcomers add content that respects Wikipedia’s policies and makes it easier for experienced editors to identify problematic edits. Communities with local policies about LLM usage can [[mw:Special:MyLanguage/Edit check/LLM Paste Check#Configuration|adjust the wording and policy that is linked]]. The team [[listarchive:list/translators-l@lists.wikimedia.org/message/EVHKWJ4IERZELMPIWNH3XUVUSQV5KOO4/|apologizes]] that this was rolled out without a delay for translations. * Editors can now easily [[mw:Special:MyLanguage/Wikimedia Apps/Team/Future of Editing on the Mobile Apps|access the web visual editor directly from the iOS and Android apps]]. When opening the editor, users will be given a choice between visual editing and source editing. If they choose visual editing, they will be sent to a mobile web window in their phone's browser. After completing their edit, a banner will give them the option to return to the app. This enables readers to make quick contributions while casually reading. * Users of the Wikipedia Android and iOS apps will now see a one-time account creation prompt after they have used the app for two consecutive weeks. This prompt explains the benefits of having an account. It is intended to help more casual readers become logged-in users who return to the apps regularly. [https://phabricator.wikimedia.org/T434847] * Editors on [[wmnoc:conf/dblists/group1.dblist|group1 wikis]], including Wikiquote, Wikibooks, Wikiversity, Wikivoyage, and Wikisource, will no longer see notifications on [[mw:Special:MyLanguage/Help:Recent changes|Recent Changes]] and [[mw:Special:MyLanguage/Help: Watching pages|Watchlist]] when a link to another language version of a page is added, removed, or changed in its Wikidata item. This change will begin on October 5 at 07:00 UTC as a two-week trial to reduce high-volume, low-value notifications and make important changes easier to identify. Editors who rely on these notifications can read more on the [[m:Wikidata For Wikimedia Projects/Clearer Wikidata Edit Summaries/Hide Language Link edits|project page]] and share feedback or concerns on the [[m:Talk:Wikidata_For_Wikimedia_Projects/Clearer_Wikidata_Edit_Summaries/Hide_Language_Link_edits|talk page]]. [https://phabricator.wikimedia.org/T439415] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:36}} community-submitted {{PLURAL:36|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where mentors who removed themselves from the mentorship program could still have mentees assigned to them and receive questions, has now been fixed. Mentees will now be reassigned when a mentor leaves the program. [https://phabricator.wikimedia.org/T418194] '''Updates for technical contributors''' * Wikimedia Brasil has published its [[m:Special:MyLanguage/Wikimedia Brasil/Arcabouço de Boas Práticas de Desenvolvimento|Development Best Practices Framework]] (ABPD). It is a guide for staff, contractors and volunteers building technical tools and projects. It covers the project lifecycle, security, accessibility, personal data protection and responsible AI use, and explains how movement-wide guidelines were adapted to a local context. They encourage other affiliates to reuse it and adapt it. Read more in the [[wmfblog:2026/09/26/wikimedia-brasils-development-best-practices-framework-technical-sustainability-as-an-organizational-responsibility|Diff post]]. * A new, canonical base URL for Wikimedia APIs will soon be introduced. The new canonical route follows a <bdi lang="zxx" dir="ltr"><code><nowiki>{projectName}/api/</nowiki></code></bdi> pattern and will act as an alternative path for current REST APIs (for example: <bdi lang="zxx" dir="ltr"><code><nowiki>{projectName}/w/rest.php/</nowiki></code></bdi>). Both versions will be callable for all existing APIs, but the new structure will be the preferred path for newly created API modules. This change will be non-breaking for most users. The existing pathways will remain available for all existing endpoint requests. However, some endpoints may return URLs following the new pattern in response bodies. Changes will be available on test wiki first, with the rollout expected to cover all wikis by the end of October. [https://phabricator.wikimedia.org/T433535] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.23|MediaWiki]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/41|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W41"/> 18:52, 5 October 2026 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31098825 --> == Tech News: 2026-42 == <section begin="technews-2026-W42"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/42|Translations]] are available. '''Weekly highlight''' * Starting October 13, wikis can change the default pattern for [[:en:Wikipedia:VisualEditor/Named references|auto-generated reference names in VisualEditor]] (currently <syntaxhighlight lang="wikitext" inline><ref name=":1" /></syntaxhighlight>). They will be able to use human-readable, content-based reference names that are more helpful to contributors using the source editor (e.g. <syntaxhighlight lang="wikitext" inline><ref name="Miller2026-1" /></syntaxhighlight>). VisualEditor reference name patterns can be defined using MediaWiki system messages, JSON, templates and modules ([[:mw:Special:MyLanguage/Help:Cite/VisualEditor reference names|more information]]). Admins can enable these changes via [[Special:CommunityConfiguration/Cite-VisualEditor-Autonames|community configuration]]. This is a [[:m:Special:MyLanguage/Community_Wishlist/W17|community wish]] implemented by [[:m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]]. [https://phabricator.wikimedia.org/T436255] * [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|Sub-referencing]] is a new MediaWiki feature that allows editors to reuse references with different details. It will be deployed to English Wikipedia on October 14 and to remaining Wikimedia Foundation wikis by end of October (likely October 21). The [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing#deployment|FAQ]] lists possible actions to take on your wiki to support the deployment. This is a [[:m:WMDE Technical Wishes/Sub-referencing/History|long-standing community wish]] implemented by [[:m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]]. [https://phabricator.wikimedia.org/T440243][https://phabricator.wikimedia.org/T440304] '''Updates for editors''' * [[mw:Special:MyLanguage/Moderator Tools|Moderator Tools]] will be removing the list view of the Watchlist and defaulting everyone to the changelog view. Previously, there were two versions of how the Watchlist is shown to mobile web users: the list view, where editors could see watched articles in a list format, and the changelog view, where editors could see changes to watched articles in a log format, controlled by a user's Advanced Mobile Control settings. This has created issues for code-base maintenance: two different displays means two sets of code to manage. By defaulting to the changelog view, we are simplifying the codebase and avoiding the likelihood of missing bugs. * The Wikipedia Android app is testing a way to listen to article introductions in the “For you” feed. A text-to-speech model reads the existing article text aloud without rewriting it or adding any content. The 30-day experiment will begin in the Wikipedia Beta app during the third week of September, then move to the regular Wikipedia Android app in October for a limited group of eligible users. A small portion of app users (those with English feeds and at least one topic interest) will have access to the feature. This experiment is part of broader efforts to give app readers options in how they consume content in order to deepen engagement and user retention. [[mw:Special:MyLanguage/Readers/Listening to Wikipedia/Phase 1|Learn more]] and [[mw:Talk:Readers/Listening to Wikipedia|share feedback]]. * [[mw:Special:MyLanguage/Help:Extension:CodeMirror|CodeMirror syntax highlighting]] was [[phab:T288161|enabled]] by default for all logged out and newly registered users on the English Wikipedia on September 14. With no signs of adverse effects, the same change is being proposed to be made globally across all wikis in a few weeks. If you have concerns or feedback, or if your wiki would like to opt out, [[mw:Special:MyLanguage/Help talk:Extension:CodeMirror#Enabling CodeMirror by default on all WMF wikis for newbies|please see the help page]]. [https://phabricator.wikimedia.org/T440077] * [[d:Wikidata:Usability_and_usefulness/Item_editing_experience/Mobile_editing_of_statements|Wikidata mobile statement editing]] of all datatypes will be officially launched on October 13, when it will be removed from Wikidata [[d:Special:Preferences#mw-prefsection-betafeatures|beta features]] and become available to all editors. Users can [[d:Wikidata_talk:Usability_and_usefulness/Item_editing_experience/Mobile_editing_of_statements|report bugs and share feedback]]. * Last week, language link changes were removed from [[Special:RecentChanges|Recent Changes]] and [[Special:Watchlist|Watchlist]] feeds on Wikivoyage, Wikisource, Wikiversity, Wikiquote and Wiktionary. As no adverse effects have been observed, the [[m:Wikidata_For_Wikimedia_Projects|Wikidata For Wikimedia Projects]] plans to roll out this change globally to all Wikipedias. This is scheduled for October 13 at 07:00 UTC, after which editors will no longer see when a link to ''another'' language version of a page is added, removed, or changed in its Wikidata item. Editors who rely on these notifications can read more on the [[m:Wikidata For Wikimedia Projects/Clearer Wikidata Edit Summaries/Hide Language Link edits|project page]] and share feedback or ask to opt out their wiki on the [[m:Talk:Wikidata_For_Wikimedia_Projects/Clearer_Wikidata_Edit_Summaries/Hide_Language_Link_edits|talk page]]. [https://phabricator.wikimedia.org/T440698] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where accidentally touching the graph while scrolling on the Pageviews tool on mobile could unintentionally zoom in has now been fixed. Click-and-drag zoom is now disabled on touch devices. [https://phabricator.wikimedia.org/T440075] '''Updates for technical contributors''' * There are three major changes coming to dumps: the legacy content dumps [https://lists.wikimedia.org/hyperkitty/list/xmldatadumps-l@lists.wikimedia.org/thread/E6D5EU4PMSTSOI2J7A46HJ3YW2W554CS/ deprecated in January 2026] will now be sunset, the replacement [https://wikitech.wikimedia.org/wiki/MediaWiki_Content_File_Exports MediaWiki Content File Exports] will be delayed to implement a “safety buffer”, and they are now also available as 7zip-compressed files. Users will need to switch the URL they download their dump from. For more information, timeline and migration instructions, see [https://wikitech.wikimedia.org/wiki/Legacy_content_dumps_sunset Legacy content dumps sunset]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.24|MediaWiki]] '''In depth''' * The Wikimedia Foundation discovered unauthorized activity by OpenAI agents on Wikimedia projects, including edits to wikis, attempts to exploit a public note-taking tool, and heavy automated traffic. [[diffblog:2026/10/05/openai-rogue-agent-activities-found-on-wikimedia-projects/|Read the blog post on Diff]] for more details about the activity and the Foundation’s response. '''Meetings and events''' * Save the date for the next Wikimedia Hackathon! We’ll be meeting in lovely Tirana, Albania for the [https://www.mediawiki.org/wiki/Wikimedia%20Hackathon%202027 2027 Wikimedia Hackathon] from April 9–11, 2027. Scholarship and staff sponsorship applications are currently being [https://pretix.eu/wikimedia/Hackathon-2027/ accepted through Pretix] and will close on October 30, 2026. General registration will open in January 2027. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/42|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W42"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 07:40, 13 October 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31142468 --> == Tech News: 2026-43 == <section begin="technews-2026-W43"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/43|Translations]] are available. '''Updates for editors''' * To measure the impact of incorporating some [[mw:Special:MyLanguage/Readers/Reader_Growth/Image_Browsing#November 2025: Ideas and feedback|community-requested features]] on logged-out reader retention, a test for [[mw:Special:MyLanguage/Readers/Reader_Growth/Image_Browsing|Image Carousel]] will be pushed to logged-out readers. With the Image Carousel feature, readers browse community-uploaded images, selected by editors as relevant to specific articles. The test starts on November 20. * An experimental notice will be pushed to 0.5% of logged-out mobile readers who come to English Wikipedia from Google, asking them to add Wikipedia as a [https://blog.google/products-and-platforms/products/search/preferred-sources/ Google Preferred Source]. The test is to see if this notice increases reader retention and encourages people who use Google Search to visit Wikipedia more often. It will run from October 15–29 and will be assessed for its impact on retention and referrals. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:26}} community-submitted {{PLURAL:26|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where [[quarry:|Quarry]] returned an “Access denied” error when users tried to run SQL queries, preventing queries from running normally, has now been fixed. [https://phabricator.wikimedia.org/T440966] '''Updates for technical contributors''' * [[File:Cog-icon-grey.svg|12px|link=|class=skin-invert|Advanced item]] Due to a long-standing bug, applications that use the [[mw:Special:MyLanguage/OAuth/For_Developers|OAuth 2]] client credentials flow to act on their owners’ behalf are treated as if they are logged out. This will be fixed for new applications registered on or after Monday, October 19. Some affected applications need to re-register. [https://phabricator.wikimedia.org/T420297] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.48/wmf.1|MediaWiki]] '''Meetings and events''' * A proposal to hold the Wikimedia Hackathon every three years, with regional hackathons in between, [[mw:Wikimedia Hackathon/Community Proposal 2026|has been shared]]. It explores making the event more accessible to technical communities in different regions. Share your feedback on the proposal’s [[mw:Talk:Wikimedia Hackathon/Community Proposal 2026|talk page]] before November 6. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/43|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W43"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 14:38, 19 October 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31178499 --> == Tech News: 2026-44 == <section begin="technews-2026-W44"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/44|Translations]] are available. '''Weekly highlight''' * An experiment launched on September 29 is testing [[mw:Special:MyLanguage/Readers/Reader_Experience/Reading_recommendations|article recommendations]] for new account holders who also identify as readers. By suggesting articles to read, similar to recommendations in the Wikipedia app for logged-in readers, the experiment aims to encourage new account holders to read and return to the website regularly, with the goal of increasing internal referrals by 1%. See the related [[m:Community Wishlist/W505|Community Wishlist]] proposal. * Several Wikimedia services were taken offline last week because of a [https://www.php.net/archive/2026.php#2026-10-20-1 security vulnerability in PHP]. This is because they need to be updated before they are safe to put back online. This is not a problem just for the Wikimedia movement but affects a lot of websites. You can follow updates on [[wikitech:Incidents/2026-10-21 PHP security update/Community|Wikitech]]. Cloud VPS and Toolforge will take longer to bring back online. This is to make sure that applications which run on Cloud VPS or Toolforge are not affected. Tool developers can see updates and more information on the [https://lists.wikimedia.org/postorius/lists/cloud-announce.lists.wikimedia.org/ Cloud-announce mailing list]. [https://diff.wikimedia.org/2026/10/21/impact-of-php-vulnerabilities-on-wikimedia-tools-and-services/][https://diff.wikimedia.org/2026/10/21/impact-of-php-vulnerabilities-on-wikimedia-cloud-services/] * [[m:Special:MyLanguage/Tech/News/2026/43|Last week we shared]] that to measure the impact of incorporating some community-requested features on logged-out reader retention, a test for the [[mw:Special:MyLanguage/Readers/Reader Growth/Image Browsing|Image Carousel]] feature would be pushed to logged-out readers. Due to an issue, we will be restarting the test, but it will be live on October 26, not November 20 as initially announced. '''Updates for editors''' * A new [[wikitech:KAPOW|bot detection system]] to better identify automated traffic that disguises itself as human visitors, is coming to the Wikimedia wikis. This might cause sudden changes to visitor statistics starting from 26 October, going back to 20 June 2026. * The [[mw:Special:MyLanguage/Extension:Score|Score extension]] which renders musical notation inside wiki pages, has been temporarily disabled on all wikis due to a security issue. Affected pages will display a notice instead of musical scores, but the underlying code remains intact. No action is needed from editors, and a fix is in progress. A separate announcement will follow when the extension is re-enabled. Read more on [[phab:T441579|Phabricator]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:18}} community-submitted {{PLURAL:18|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where CodeMirror syntax highlighter appears to have been enabled in error for existing editors has been fixed. [https://phabricator.wikimedia.org/T441308] '''Updates for technical contributors''' * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on Wednesday, October 28 2026 at [https://zonestamp.toolforge.org/1793199600 15:00 UTC]. This is for the datacenter server switchover backup tests, [[wikitech:Deployments/Yearly calendar|which happen twice a year]]. During the switchover, all Wikimedia website traffic is shifted from one primary data center to the backup data center to test availability and prevent service disruption even in emergencies. [https://phabricator.wikimedia.org/T439703] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.48/wmf.2|MediaWiki]] '''Meetings and events''' * Scholarship and sponsorship applications for the [https://www.mediawiki.org/wiki/Wikimedia%20Hackathon%202027 2027 Wikimedia Hackathon] will close on Friday, October 30th. Submit your application [https://pretix.eu/wikimedia/Hackathon-2027/ through Pretix] before the deadline! '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/44|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W44"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:56, 26 October 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31199592 --> == Tech News: 2026-45 == <section begin="technews-2026-W45"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/45|Translations]] are available. '''Weekly highlight''' * Many Wikimedia tools were taken offline last week because of a [[:w:PHP2Shell|security vulnerability in PHP]]. This affected many websites worldwide. [[m:Special:MyLanguage/Toolforge|Toolforge]] and [[m:Special:MyLanguage/Wikimedia Cloud Services|Cloud VPS]] have been back up since October 22. Many important tools have been gradually restored. Some tools need the respective volunteer maintainers to restart them. Others still need to upgrade to a patched PHP version. Some tools were using older versions of PHP which are not supported by the recent security patches. They will require maintainers to upgrade to a more recent version. This might require additional effort. You can follow the work [[:wikitech:Talk:Incidents/2026-10-21 PHP security update/Community#Exceptions|on Wikitech]]. '''Updates for editors''' * A new optional search experiment is running in the Wikipedia Android and iOS apps for Arabic, French, and Japanese Wikipedias. Participating readers can search inside articles and open quoted passages directly in their source articles, no answers or summaries are generated. This is the first of four experiments in [[mw:Special:MyLanguage/Readers/Information%20Retrieval/Phase%202|Phase 2 of Semantic Search]]. It began on October 22 and runs for 20 days. Feedback is welcome on the project’s [[mw:Special:MyLanguage/Talk:Readers/Information%20Retrieval/Phase%202|discussion page]]. * The [[m:Special:MyLanguage/Future_Audiences|Future Audiences]] team is planning to bring [[m:Special:MyLanguage/Future_Audiences/Share_card|Share Cards]] to Wikipedia on mobile. This feature gives users the option to share a visually appealing card with friends, based on the article they are reading. The card contains the article’s title, image, opening text, and related attribution, and links back to the article for full reading. Editors are invited to try out this feature by adding <code dir="ltr">?useformat=mobile&sharecard=1</code> to any article URL from October 29 to November 8. Share any thoughts on the [[m:Talk:Future_Audiences/Share_card| project talk page]] and report any bugs on [[phab:T439161|Phabricator]]. * The default renderer for math formulas will change on November 2. After the change, the server sends the formula as MathML, and your browser uses MathJax to show it. This is the last step towards the Mathoid/RESTBase deprecation process, for sustainability and security reasons. You can [[w:en:Wikipedia:WikiProject Mathematics/MathFormattingBugs|ask questions or report problems]]. [https://phabricator.wikimedia.org/T375238] * Do you have an idea for a new feature, or a bug that needs fixing? [[m:Special:MyLanguage/Community Wishlist|Submit your suggestion for the community wish list by November 8!]] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:41}} community-submitted {{PLURAL:41|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.48/wmf.3|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/45|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W45"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 14:23, 3 November 2026 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31236748 --> pph4o2hmyq5kydemmve6ehucbnsz6ao 0 203942 2844288 2843991 2026-11-03T19:24:56Z Young1lim 21186 /* Lambda Calculus */ 2844288 wikitext text/x-wiki ==Introduction== * Overview I ([[Media:HSKL.Overview.1.A.20160806.pdf |pdf]]) * Overview II ([[Media:HSKL.Overview.2.A.20160926.pdf |pdf]]) * Overview III ([[Media:HSKL.Overview.3.A.20161011.pdf |pdf]]) * Overview IV ([[Media:HSKL.Overview.4.A.20161104.pdf |pdf]]) * Overview V ([[Media:HSKL.Overview.5.A.20161108.pdf |pdf]]) </br> ==Applications== * Sudoku Background ([[Media:Sudoku.Background.0.A.20161108.pdf |pdf]]) * Bird's Implementation :- Specification ([[Media:Sudoku.1Bird.1.A.Spec.20170425.pdf |pdf]]) :- Rules ([[Media:Sudoku.1Bird.2.A.Rule.20170201.pdf |pdf]]) :- Pruning ([[Media:Sudoku.1Bird.3.A.Pruning.20170211.pdf |pdf]]) :- Expanding ([[Media:Sudoku.1Bird.4.A.Expand.20170506.pdf |pdf]]) </br> ==Using GHCi== * Getting started ([[Media:GHCi.Start.1.A.20170605.pdf |pdf]]) </br> ==Using Libraries== * Library ([[Media:Library.1.A.20170605.pdf |pdf]]) </br> </br> ==Types== * Constructors ([[Media:Background.1.A.Constructor.20180904.pdf |pdf]]) * TypeClasses ([[Media:Background.1.B.TypeClass.20180904.pdf |pdf]]) * Types ([[Media:MP3.1A.Mut.Type.20200721.pdf |pdf]]) * Primitive Types ([[Media:MP3.1B.Mut.PrimType.20200611.pdf |pdf]]) * Polymorphic Types ([[Media:MP3.1C.Mut.Polymorphic.20201212.pdf |pdf]]) ==Functions== * Functions ([[Media:Background.1.C.Function.20180712.pdf |pdf]]) * Operators ([[Media:Background.1.E.Operator.20180707.pdf |pdf]]) * Continuation Passing Style ([[Media:MP3.1D.Mut.Continuation.20220110.pdf |pdf]]) ==Expressions== * Expressions I ([[Media:Background.1.D.Expression.20180707.pdf |pdf]]) * Expressions II ([[Media:MP3.1E.Mut.Expression.20220628.pdf |pdf]]) * Non-terminating Expressions ([[Media:MP3.1F.Mut.Non-terminating.20220616.pdf |pdf]]) </br> </br> ==Lambda Calculus== * Lambda Calculus - informal description ([[Media:LCal.1A.informal.20220831.pdf |pdf]]) * Lambda Calculus - Formal definition ([[Media:LCal.2A.formal.20260915.pdf |pdf]]) * Expression Reduction ([[Media:LCal.3A.reduction.20220920.pdf |pdf]]) * Normal Forms ([[Media:LCal.4A.Normal.20220903.pdf |pdf]]) * Encoding Datatypes :- Church Numerals ([[Media:LCal.5A.Numeral.20230627.pdf |pdf]]) :- Church Booleans ([[Media:LCal.6A.Boolean.20230815.pdf |pdf]]) :- Functions ([[Media:LCal.7A.Function.20231230.pdf |pdf]]) :- Combinators ([[Media:LCal.8A.Combinator.20241202.pdf |pdf]]) :- Recursions ([[Media:LCal.9A.Recursion.20261103.pdf |A]], [[Media:LCal.9B.Recursion.20260330.pdf |B]]) </br> </br> ==Function Oriented Typeclasses== === Functors === * Functor Overview ([[Media:Functor.1.A.Overview.20180802.pdf |pdf]]) * Function Functor ([[Media:Functor.2.A.Function.20180804.pdf |pdf]]) * Functor Lifting ([[Media:Functor.2.B.Lifting.20180721.pdf |pdf]]) === Applicatives === * Applicatives Overview ([[Media:Applicative.3.A.Overview.20180606.pdf |pdf]]) * Applicatives Methods ([[Media:Applicative.3.B.Method.20180519.pdf |pdf]]) * Function Applicative ([[Media:Applicative.3.A.Function.20180804.pdf |pdf]]) * Applicatives Sequencing ([[Media:Applicative.3.C.Sequencing.20180606.pdf |pdf]]) === Monads I : Background === * Side Effects ([[Media:Monad.P1.1A.SideEffect.20190316.pdf |pdf]]) * Monad Overview ([[Media:Monad.P1.2A.Overview.20190308.pdf |pdf]]) * Monadic Operations ([[Media:Monad.P1.3A.Operations.20190308.pdf |pdf]]) * Maybe Monad ([[Media:Monad.P1.4A.Maybe.201900606.pdf |pdf]]) * IO Actions ([[Media:Monad.P1.5A.IOAction.20190606.pdf |pdf]]) * Several Monad Types ([[Media:Monad.P1.6A.Types.20191016.pdf |pdf]]) === Monads II : State Transformer Monads === * State Transformer : - State Transformer Basics ([[Media:MP2.1A.STrans.Basic.20191002.pdf |pdf]]) : - State Transformer Generic Monad ([[Media:MP2.1B.STrans.Generic.20191002.pdf |pdf]]) : - State Transformer Monads ([[Media:MP2.1C.STrans.Monad.20191022.pdf |pdf]]) * State Monad : - State Monad Basics ([[Media:MP2.2A.State.Basic.20190706.pdf |pdf]]) : - State Monad Methods ([[Media:MP2.2B.State.Method.20190706.pdf |pdf]]) : - State Monad Examples ([[Media:MP2.2C.State.Example.20190706.pdf |pdf]]) === Monads III : Mutable State Monads === * Mutability Background : - Inhabitedness ([[Media:MP3.1F.Mut.Inhabited.20220319.pdf |pdf]]) : - Existential Types ([[Media:MP3.1E.Mut.Existential.20220128.pdf |pdf]]) : - forall Keyword ([[Media:MP3.1E.Mut.forall.20210316.pdf |pdf]]) : - Mutability and Strictness ([[Media:MP3.1C.Mut.Strictness.20200613.pdf |pdf]]) : - Strict and Lazy Packages ([[Media:MP3.1D.Mut.Package.20200620.pdf |pdf]]) * Mutable Objects : - Mutable Variables ([[Media:MP3.1B.Mut.Variable.20200224.pdf |pdf]]) : - Mutable Data Structures ([[Media:MP3.1D.Mut.DataStruct.20191226.pdf |pdf]]) * IO Monad : - IO Monad Basics ([[Media:MP3.2A.IO.Basic.20191019.pdf |pdf]]) : - IO Monad Methods ([[Media:MP3.2B.IO.Method.20191022.pdf |pdf]]) : - IORef Mutable Variable ([[Media:MP3.2C.IO.IORef.20191019.pdf |pdf]]) * ST Monad : - ST Monad Basics ([[Media:MP3.3A.ST.Basic.20191031.pdf |pdf]]) : - ST Monad Methods ([[Media:MP3.3B.ST.Method.20191023.pdf |pdf]]) : - STRef Mutable Variable ([[Media:MP3.3C.ST.STRef.20191023.pdf |pdf]]) === Monads IV : Reader and Writer Monads === * Function Monad ([[Media:Monad.10.A.Function.20180806.pdf |pdf]]) * Monad Transformer ([[Media:Monad.3.I.Transformer.20180727.pdf |pdf]]) * MonadState Class :: - State & StateT Monads ([[Media:Monad.9.A.MonadState.Monad.20180920.pdf |pdf]]) :: - MonadReader Class ([[Media:Monad.9.B.MonadState.Class.20180920.pdf |pdf]]) * MonadReader Class :: - Reader & ReaderT Monads ([[Media:Monad.11.A.Reader.20180821.pdf |pdf]]) :: - MonadReader Class ([[Media:Monad.12.A.MonadReader.20180821.pdf |pdf]]) * Control Monad ([[Media:Monad.9.A.Control.20180908.pdf |pdf]]) === Monoid === * Monoids ([[Media:Monoid.4.A.20180508.pdf |pdf]]) === Arrow === * Arrows ([[Media:Arrow.1.A.20190504.pdf |pdf]]) </br> ==Polymorphism== * Polymorphism Overview ([[Media:Poly.1.A.20180220.pdf |pdf]]) </br> ==Concurrent Haskell == </br> go to [ [[Electrical_%26_Computer_Engineering_Studies]] ] ==External links== * [http://learnyouahaskell.com/introduction Learn you Haskell] * [http://book.realworldhaskell.org/read/ Real World Haskell] * [http://www.scs.stanford.edu/14sp-cs240h/slides/ Standford Class Material] [[Category:Haskell|programming in plain view]] r0103eqkgneq885787kb1cxrhmn07zd 0 235146 2844205 2843003 2026-11-03T14:03:11Z ShakespeareFan00 6645 2844205 wikitext text/x-wiki [[File:Acoelomorpha.jpg|thumb|300px|right|Acoelomorpha]] *Acoelomorpha *Name Meaning: With gut *English Common Name: Acoels *Major distinguishing characteristics: No mouth or alimentary canal *Approximate number of species described: unknown ==Natural History== All but two freshwater species are marine. All are aquatic. They live between the grains of sand, in the water column as plankton, or crawling on the substrate or other organisms. ==Taxonomy== Some consider this group to be a Subphylum of Xenacoelomorpha. There are two Classes that traditionally belong to the Phylum regardless of their placement. *Acoela *Nemertodermatida ==Phylogeny== {{Clade |label1='''Acoelomorpha''' |sublabel1=(may be a phylum or a subphylum) |1={{clade |label1=Acoela |1={{clade |label1= |state1=dashed |1=Actinoposthiidae [[File:Pseudactinoposthia parva.gif|60px]] |state2=dashed |2=Antigonariidae [[File:Antigonaria arenaria.jpg|60px]] |state3=dashed |3=Antroposthiidae [[File:Antroposthia axi.jpg|60px]] |4=Diopisthoporidae |state5=dashed |5=Nadinidae |state6=dashed |6=Paratomellidae |state7=dashed |7=Taurididae |8={{clade |label1= |1=Paratomellidae |label2=Bursalia |2={{clade |label1=Prosopharyngida |1={{clade |label1= |1=Hallangiidae |2={{clade |label1= |1=Hofsteniidae |2=Solenofilomorphidae }} }} |label2=Crucimusculata |2={{clade |label1= |1=Proporidae [[File:Proporus sp.png|60px]] |2={{clade |label1= |1=Isodiametridae [[File:Isodiametra pulchra.jpg|60x60px]] |2={{clade |label1= |1=Dakuidae |label2=Aberrantospermata |2={{clade |label1= |1=Convolutidae [[File:Convolutriloba retrogemma underside on aquarium glass Length 3mm.jpg|60px]] |2=Mecynostomidae }} }} }} }} }} }} }} |label2=Nemertodermatida |2={{clade |label1=Ascopariidae |1={{clade |label1= |1=''Ascoparia'' |2=''Flagellophora'' [[File:Flagellophora sp.png|60px]] }} |label2=Nemertodermatidae |2={{clade |label1= |1=''Nemertoderma'' |state2=dashed |2=''Nemertinoides'' [[File:Nemertinoides elongatus.png|60x60px]] |3={{clade |label1= |1=''Meara stichopi'' [[File:Meara stichopi.jpg|60px]] |2=''Sterreria'' [[File:Sterreria variabilis.png|60x60px]] }} }} }} }} }} ==Anatomy== The Acoelomorpha resemble flat worms. Their internal structures are so simple they have no real internal structures. ==The Fossil Record== There is only one known fossil of an acoelomorph, [[w:Gutticorpus|Gutticorpus]]. ==Quiz== * [[/Acoelomorpha Quiz/]] ==References and Further Reading== *[http://eol.org/pages/3028491/hierarchy_entries/52569368/overview Acoelomorpha] on Encyclopedia of Life *[https://en.wikipedia.org/wiki/Acoelomorpha Acoelomorpha] at Wikipedia {{Animalia}} [[Category:Animals]] [[Category:Taxonomy]] [[Category:Zoology]] [[Category:Biology]] 8bsdlep234930oisr55dop3k2gxkhn2 0 235170 2844224 2843089 2026-11-03T15:34:15Z ShakespeareFan00 6645 2844224 wikitext text/x-wiki [[File:Isocrania costata Sowerby 1823.jpg|thumb|300px|right|Brachiopod ''Isocrania costata''.]] Brachiopoda Name Meaning: Arm foot English Common Name: Lamp shells, brachiopods Major distinguishing characteristics: Lophophore and pedicle Approximate number of species described: between 300 and 500 extant ==Natural History== Brachiopods are marine aquatic organisms. They primarily live in colder oceans. Though they are fairly abundant, they are rarely seen unless you go looking for them. They are filter feeders, living on the bottom. They usually attach themselves to a hard substrate. ==Taxonomy== Despite a long fossil history, perhaps because of it, the relationships within the Brachiopoda are not settled. There are probably about seven Classes within the Phylum. * Articulata * Chileata * Craniata * Inarticulata * Lingulata * Rhynchonellata * Strophomenata ==Phylogeny== {{clade |label1='''Brachiopoda''' |1={{clade |label1=Craniata |1={{clade |1=†Craniopsidae |label3=†Trimerellida |3={{clade |1=†''Adensu |2=†''Ussunia |3=†Trimerellidae}} |label2=Craniidae |2={{clade |1=''Neoancistrocrania |2=''Novocrania |3=''Valdiviathyris}} }} |label2=Linguliformea |2={{clade |1=†Paterinida |label2=Lingulata |2={{clade |2=†Acrotretoidea |1=†Siphonotretidae |label3=Lingulida |3={{clade |label1=Lingulidae |1={{clade |1=''Glottidia |2=''Lingula}} |label2=Discinidae |2={{clade |1=''Discina |2=''Discinisca |3=''Discradisca |4=''Pelagodiscus}} }} }} }} |label3=Rhynchonelliformea |3={{clade |label3=†Chileata |3={{clade |label1=†Chileida |1={{clade |1=†Chileidae |2=†Matutellidae}} |label2=†Dictyonellida |2={{clade |1=†Eichwaldiidae |2=†Isogrammidae}} }} |label1=†Kutorginida |1={{clade |1=†''Anomalocalyx |2=†Kutorginidae |3=†Nisusiidae}} |label2=†Obolellata |2={{clade |1=†Tomteluvidae |label2=†Obolellida |2={{clade |1=†Obolellidae |2=†Trematobolidae}} }} |label4=Strophomenata |4={{clade |label1=†Billingsellida |1={{clade |1=†Billingsellidae |label2=†Clitambonitidina |2={{clade |1=†Polytoechiidae |label2=†Clitambonitoidea |2={{clade |1=†Clitambonitidae |2=†Gonambonitidae}} }} }} |label2=†Orthotetida |2={{clade |1=†Triplesiidae |label2=†Orthotetidina |2={{clade |label1=†Chilidiopsoidea |1={{clade |1=†Areostrophiidae |2=†Chilidiopsidae}} |label2=†Orthotetoidea |2={{clade |1=†Orthotetidae |2=†Pulsiidae |3=†Orthotetellidae |4=†Derbyiidae |5=†Meekellidae |6=†Schuchertellidae}} }} }} |label3=†Productida |3={{clade |label2=†Chonetidina |2={{clade |1=†Strophochonetidae |2=†Chonostrophiidae |3=†Anopliidae |4=†Eodevonariidae |5=†Chonetidae |6=†Rugosochonetidae |7=†Daviesiellidae}} |label1=†Lyttoniidina |1={{clade |1=†Permianellidae |label2=†Lyttonioidea |2={{clade |1=†Lyttoniidae |2=†Rigbyellidae}} }} |label3=†Productidina |3={{clade |label1=†Productoidea |1={{clade |1=†Productellidae |2=†Productidae}} |label2=†Echinoconchoidea |2={{clade |1=†Echinoconchidae |2=†Sentosiidae}} |label3=†Linoproductoidea |3={{clade |1=†Linoproductidae |2=†Monticuliferidae |3=†Shrenkiellidae}} }}|label4=†Strophalosiidina |4={{clade |label1=†Strophalosioidea |1={{clade |1=†Strophalosiidae |2=†Chonopectidae |3=†Araksalosiidae }} |label2=†Aulostegoidea |2={{clade |1=†Aulostegidae |2=†Cooperinidae |3=†Scacchinellidae}} |label3=†Richthofenioidea |3={{clade |1=†Richthofeniidae |2=†Hercosiidae |3=†Cyclacanthariidae |4=†Gemmellaroiidae}} }}}} |label6=Rhynchonellata |6={{clade |label2=Terebratulida |2={{clade |label1=Terebratulidina |1={{clade |1=Dyscoloidea |label2=Cancellothyroidea |2={{clade |1=Cancellothyrididae|2=Chlidonophoridae|3=Cnismatocentridae}} |label3=Terebratuloidea |3={{clade |1=Gryphidae |2=Tichosidae |3=Terebratulidae}} }} |label2=Terebratellidina |2={{clade |1=Tythothyrididae |2=Kraussinoidea |3=Laqueoidea |4=Megathyridoidea |7={{clade |1=Platidioidea |2=Gwynioidea}} |6=Zeillerioidea |5=Bouchardioidea |8={{clade |1=Kingenoidea |label2=Terebratelloidea |2={{clade |1=Dallinidae |2=Ecnomiosidae |3=Terebratellidae |4=Thaumatosiidae}} }} }} }} |label1=Thecideida |1={{clade |1=Thecideoidea |2=Thecospiroidea}} }} |label5=†Strophomenida |5={{clade |1=†Plectambonitoidea |2=†Strophomenoidea}} }} }}}} }} ==Anatomy== Brachiopods have a hinged shell much like a clam, for which they can be mistaken. The shell material is secreted by the mantle, a structure they have in common with the Mollusca. The mantle also contains the organs of the animal. Brachiopods have a lophophore, which is a structure with small tentacles that direct water toward the mouth, helping the animal to feed. The lophophore is U-shaped, forming brachia ("arms"). ==The Fossil Record== Brachiopods have a long fossil record. They first appear in the early Paleozoic. During the Devonian they were most diverse with over 200 genera having been identified. ==Quiz== * [[/Brachiopoda Quiz/]] ==References and Further Reading== * [https://en.wikipedia.org/wiki/Brachiopod Brachiopod] at Wikipedia * [http://www.ucmp.berkeley.edu/brachiopoda/brachiopoda.html Introduction to the Brachiopoda] at University of California Museum of Paleontoloygy * [http://eol.org/pages/1498/overview Brachiopoda] at Encyclopedia of Life * [http://eol.org/pages/42249306/overview Brachiopoda] at Tree of Life [[Category:Animals]] [[Category:Taxonomy]] [[Category:Zoology]] [[Category:Biology]] 351vo7vmvz9uq9bvap42cnj363ts9rj 2844225 2844224 2026-11-03T15:35:33Z ShakespeareFan00 6645 2844225 wikitext text/x-wiki [[File:Isocrania costata Sowerby 1823.jpg|thumb|300px|right|Brachiopod ''Isocrania costata''.]] Brachiopoda Name Meaning: Arm foot English Common Name: Lamp shells, brachiopods Major distinguishing characteristics: Lophophore and pedicle Approximate number of species described: between 300 and 500 extant ==Natural History== Brachiopods are marine aquatic organisms. They primarily live in colder oceans. Though they are fairly abundant, they are rarely seen unless you go looking for them. They are filter feeders, living on the bottom. They usually attach themselves to a hard substrate. ==Taxonomy== Despite a long fossil history, perhaps because of it, the relationships within the Brachiopoda are not settled. There are probably about seven Classes within the Phylum. * Articulata * Chileata * Craniata * Inarticulata * Lingulata * Rhynchonellata * Strophomenata ==Phylogeny== {{clade |label1='''Brachiopoda''' |1={{clade |label1=Craniata |1={{clade |1=†Craniopsidae |label3=†Trimerellida |3={{clade |1=†''Adensu'' |2=†''Ussunia'' |3=†Trimerellidae}} |label2=Craniidae |2={{clade |1=''Neoancistrocrania'' |2=''Novocrania'' |3=''Valdiviathyris''}} }} |label2=Linguliformea |2={{clade |1=†Paterinida |label2=Lingulata |2={{clade |2=†Acrotretoidea |1=†Siphonotretidae |label3=Lingulida |3={{clade |label1=Lingulidae |1={{clade |1=''Glottidia'' |2=''Lingula''}} |label2=Discinidae |2={{clade |1=''Discina'' |2=''Discinisca'' |3=''Discradisca'' |4=''Pelagodiscus''}} }} }} }} |label3=Rhynchonelliformea |3={{clade |label3=†Chileata |3={{clade |label1=†Chileida |1={{clade |1=†Chileidae |2=†Matutellidae}} |label2=†Dictyonellida |2={{clade |1=†Eichwaldiidae |2=†Isogrammidae}} }} |label1=†Kutorginida |1={{clade |1=†''Anomalocalyx'' |2=†Kutorginidae |3=†Nisusiidae}} |label2=†Obolellata |2={{clade |1=†Tomteluvidae |label2=†Obolellida |2={{clade |1=†Obolellidae |2=†Trematobolidae}} }} |label4=Strophomenata |4={{clade |label1=†Billingsellida |1={{clade |1=†Billingsellidae |label2=†Clitambonitidina |2={{clade |1=†Polytoechiidae |label2=†Clitambonitoidea |2={{clade |1=†Clitambonitidae |2=†Gonambonitidae}} }} }} |label2=†Orthotetida |2={{clade |1=†Triplesiidae |label2=†Orthotetidina |2={{clade |label1=†Chilidiopsoidea |1={{clade |1=†Areostrophiidae |2=†Chilidiopsidae}} |label2=†Orthotetoidea |2={{clade |1=†Orthotetidae |2=†Pulsiidae |3=†Orthotetellidae |4=†Derbyiidae |5=†Meekellidae |6=†Schuchertellidae}} }} }} |label3=†Productida |3={{clade |label2=†Chonetidina |2={{clade |1=†Strophochonetidae |2=†Chonostrophiidae |3=†Anopliidae |4=†Eodevonariidae |5=†Chonetidae |6=†Rugosochonetidae |7=†Daviesiellidae}} |label1=†Lyttoniidina |1={{clade |1=†Permianellidae |label2=†Lyttonioidea |2={{clade |1=†Lyttoniidae |2=†Rigbyellidae}} }} |label3=†Productidina |3={{clade |label1=†Productoidea |1={{clade |1=†Productellidae |2=†Productidae}} |label2=†Echinoconchoidea |2={{clade |1=†Echinoconchidae |2=†Sentosiidae}} |label3=†Linoproductoidea |3={{clade |1=†Linoproductidae |2=†Monticuliferidae |3=†Shrenkiellidae}} }}|label4=†Strophalosiidina |4={{clade |label1=†Strophalosioidea |1={{clade |1=†Strophalosiidae |2=†Chonopectidae |3=†Araksalosiidae }} |label2=†Aulostegoidea |2={{clade |1=†Aulostegidae |2=†Cooperinidae |3=†Scacchinellidae}} |label3=†Richthofenioidea |3={{clade |1=†Richthofeniidae |2=†Hercosiidae |3=†Cyclacanthariidae |4=†Gemmellaroiidae}} }}}} |label6=Rhynchonellata |6={{clade |label2=Terebratulida |2={{clade |label1=Terebratulidina |1={{clade |1=Dyscoloidea |label2=Cancellothyroidea |2={{clade |1=Cancellothyrididae|2=Chlidonophoridae|3=Cnismatocentridae}} |label3=Terebratuloidea |3={{clade |1=Gryphidae |2=Tichosidae |3=Terebratulidae}} }} |label2=Terebratellidina |2={{clade |1=Tythothyrididae |2=Kraussinoidea |3=Laqueoidea |4=Megathyridoidea |7={{clade |1=Platidioidea |2=Gwynioidea}} |6=Zeillerioidea |5=Bouchardioidea |8={{clade |1=Kingenoidea |label2=Terebratelloidea |2={{clade |1=Dallinidae |2=Ecnomiosidae |3=Terebratellidae |4=Thaumatosiidae}} }} }} }} |label1=Thecideida |1={{clade |1=Thecideoidea |2=Thecospiroidea}} }} |label5=†Strophomenida |5={{clade |1=†Plectambonitoidea |2=†Strophomenoidea}} }} }}}} }} ==Anatomy== Brachiopods have a hinged shell much like a clam, for which they can be mistaken. The shell material is secreted by the mantle, a structure they have in common with the Mollusca. The mantle also contains the organs of the animal. Brachiopods have a lophophore, which is a structure with small tentacles that direct water toward the mouth, helping the animal to feed. The lophophore is U-shaped, forming brachia ("arms"). ==The Fossil Record== Brachiopods have a long fossil record. They first appear in the early Paleozoic. During the Devonian they were most diverse with over 200 genera having been identified. ==Quiz== * [[/Brachiopoda Quiz/]] ==References and Further Reading== * [https://en.wikipedia.org/wiki/Brachiopod Brachiopod] at Wikipedia * [http://www.ucmp.berkeley.edu/brachiopoda/brachiopoda.html Introduction to the Brachiopoda] at University of California Museum of Paleontoloygy * [http://eol.org/pages/1498/overview Brachiopoda] at Encyclopedia of Life * [http://eol.org/pages/42249306/overview Brachiopoda] at Tree of Life [[Category:Animals]] [[Category:Taxonomy]] [[Category:Zoology]] [[Category:Biology]] n0uz6f59on0pz47a1fam3mx239i5bf2 0 235176 2844206 2843083 2026-11-03T14:22:49Z ShakespeareFan00 6645 2844206 wikitext text/x-wiki [[Image:Chaetognatha.PNG|thumb|300px|right|Chaetognathans.]] *Chaetognatha *Name Meaning: Longhair jaw *English Common Name: Arrow worms *Major distinguishing characteristics: Chitinous spines either side of head, fins *Approximate number of species described: about 100 modern species ==Natural History== Most species of Chaetognath are plaktonic. Some attached to algae or other substrate. They are hermaphroditic, having both male and female parts. All species are predatory. They may rise and fall in the water column on a daily cycle. ==Taxonomy== There is one class containing two orders. *Class Sagittoidea **Order Aphragmophora **Order Phragmophora ==Phylogeny== {{clade |label1='''Chaetognatha''' |1={{clade |label1=Aphragmophora |1={{clade |1=Heterokrohniidae [[File:Image extracted from http dx.doi.org 10.11646 zootaxa.3717.3.2 (13377074804).jpg|Image_extracted_from_http_dx.doi.org_10.11646_zootaxa.3717.3.2_(13377074804)|60px]] |2=Eukrohniidae }} |label2=Phragmophora |2={{clade |1=Spadellidae [[File:Chaetotilted.png|Chaetotilted|100px]] |2={{clade |1=Krohnittidae [[File:Krohnitta subtilis (1910).jpg|Krohnitta_subtilis_(1910)|30px]] |2=Sagittidae [[File:Caecosagitta macrocephala 463758980.jpg|Caecosagitta_macrocephala_463758980|60px]] }} }} }} }} ==Anatomy== All species are transparent or at least translucent. They have three body parts, a head, trunk, and tail. The trunk has a pair of fins which help the animal move about in the water. They have sharp hooks or spines on the head which allow them to grab prey. They rise and fall in the water column using ammonia-filled vacuolated cells in the trunk. ==The Fossil Record== Chaetognaths have been described as fossils of the early Cambrian Period, though that identification has been challenged <ref>Morris, Simon Conway. 2009. The Burgess Shale Animal ''Oesia'' is not a Chaetognath: A Reply to Szaniawski (2005). Acta Palaeontologica Polonica 54(1):175-179.</ref>. They almost certainly appear by the Pennsylvanian. ==Quiz== * [[/Chaetognatha Quiz/]] ==References and Further Reading== {{reflist}} *[http://tolweb.org/Chaetognatha/2478 Chaetognatha] on Tree of Life *[http://eol.org/pages/1740/overview Chaetognatha] on Encyclopedia of Life *[https://en.wikipedia.org/wiki/Chaetognatha Chaetognatha] on Wikipedia {{Animalia}} [[Category:Animals]] [[Category:Taxonomy]] [[Category:Biology]] [[Category:Zoology]] 38vk821ad1ztykt5mvwcifgxtp37glt 0 235179 2844209 2843085 2026-11-03T14:24:39Z ShakespeareFan00 6645 2844209 wikitext text/x-wiki [[File:LightRefractsOf comb-rows of ctenophore Mertensia ovum.jpg|thumb|300px|right|''Mertensia'', a Ctenophore.]] * Ctenophora * Name Meaning: Comb bearer * English Common Name: Comb jellies, Ctenophores * Major distinguishing characteristics: Eight "comb rows" of fused cilia * Approximate number of species described: about 100 modern species == Natural History == All species are marine and almost all are free-swimming. They are found around the world, and grow up to 2 meters (6 feet) in length. Comb-jellies are difficult to study because most species are extremely soft-bodied and don't survive capture intact. A few coastal species are a bit tougher, and are regularly displayed in aquaria. Most of what we know about them comes from these species. All adult ctenophores are predators. The juveniles of two species are parasites, otherwise they too are predators. Some are bioluminescent. ==Taxonomy== The Phylum Ctenophora is divided into two living classes: * Class Tentaculata (ctenophores with cilia) * Class Nuda (ctenophores without cilia) ==Phylogeny== {{Clade |label1='''Ctenophora''' |1={{clade |label1=Nuda |1={{clade |1=''Beroe'' |2=''Neis''}} |label2=Tentaculata |2={{clade |10=''Thalassocalyce inconstans'' |1=''Cambodgia elegantissima'' |3={{clade |label1=Cestida |1={{clade |1=''Cestum veneris'' |2=''Velamen parallelum''}} |label2=Cryptolobiferida |2={{clade |1=''Cryptolobata primitiva'' |2=''Lobocrypta annamita''}} }} |label6=Cydippida |6={{clade |1=''Duobrachium sparksae'' |2=''Aulacoctena acuminata'' |3=''Cryptocoda gerlachi'' |4=''Ctenella aurantia'' |5=''Dryodora glandiformis'' |6=''Vampyroctena delmarvensis'' |label7=''Bathyctena'' |7={{clade |1=''Bathyctena chuni'' |2=''Bathyctena latipharyngea'' }} |label9=''Haeckelia'' |9={{Clade |1=''Haeckelia beehleri'' |2=''Haeckelia bimaculata'' |3=''Haeckelia filigera'' |4=''Haeckelia rubra''}} |label10=''Euplokamis'' |10={{clade |1=''Euplokamis crinita'' |2=''Euplokamis dunlapae'' |3=''Euplokamis evansae'' |4=''Euplokamis evansae'' |5=''Euplokamis octoptera'' |6=''Euplokamis stationis''}} |label13=Cydippidae |13={{clade |1=''Attenboroughctena'' |2=''Hormiphora'' |3=''Minictena'' |4=''Pleurobrachia'' |5=''Tinerfe''}} |label11=Lampeidae |11={{clade |1=''Gastropodes'' |2=''Lampea'' |3=''Lampetia''}} |label12=Mertensiidae |12={{Clade |1=''Callianira'' |2=''Charistephane'' |3=''Gastrodes'' |4=''Mertensia''}} |label8=''Pukia'' |8={{clade |1=''Pukia falcata'' |2=''Pukia ohtsukai'' }} }} |label2=''Ganesha'' |2={{clade |1=''Ganesha annamita'' |2=''Ganesha elegans'' }} |label4=Lobata |4={{clade |3=''Bathocyroe'' |5=Bolinopsidae |6=Eurhamphaeidae |2=''Lampocteis cruentiventer'' |4=''Leucothea'' |1=''Lobatolampea tetragona'' |7=Ocyropsidae }} |label5=Platyctenida |5={{Clade |1=''Tjalfiella tristoma'' |2={{clade |1=''Lyrocteis imperatoris'' |2={{clade |1=''Coeloplana'' |2=''Ctenoplana'' }}}} |3={{clade |1=''Savangia atentaculata'' |label2=Benthoplanidae |2={{clade |1=''Benthoplana meteoris'' |2=''Vallicula multiformis'' }}}} }} }} }} }} ==Anatomy== Ctenophora are the largest animals to move by the use of cilia. The cilia are present in lines, called combs. A few deep-sea ctenophorans lack combs. Like cnidarians, their bodies consist mostly of mesoglea, a non-living substance. Unlike the cnidarians, their body wall contains two layers of cells instead of one. Their internal anatomy consists of a mouth, pharynx, stomach, and an internal set of canals. ==The Fossil Record== Having a soft body, the fossil record of the Ctenophora is spotty and limited. The earliest known is 520 million years old. They are present in the Burgess Shale. ==Quiz== * [[/Ctenophora Quiz/]] ==References and Further Reading== * [https://en.wikipedia.org/wiki/Ctenophora Ctenophora] at Wikipedia * [http://eol.org/pages/69/overview Ctenophora] at the Encyclopedia of Life * [http://tolweb.org/Ctenophora/2462 Ctenophora] at the Tree of Life [[Category:Animals]] [[Category:Taxonomy]] [[Category:Biology]] [[Category:Zoology]] 85z9f6pk39dticy3wp89dg74wnctycy 0 235198 2844210 2843086 2026-11-03T14:27:11Z ShakespeareFan00 6645 2844210 wikitext text/x-wiki [[Image:Cycliophora - Symbion pandora.png|thumb|300px|Right|''Symbion pandora'', a Cycliphoran.]] *Cycliophora *Name Meaning: Wheel carrying *English Common Name: Symbion *Major distinguishing characteristics: Circular mouth surrounded by small cilia *Approximate number of species described: at least 3 ==Description== The three species of Cyclophora live on the bodies of lobsters. They are filter feeders. Adult males lack a digestive system. The digestive system of the females changes to form part of the reproductive system to release larvae. They can reproduce sexually or by budding. ==Taxonomy== The Phylum Cyclophora consists of three species, all currently assigned to the genus ''Symbion''. *''Symbion americanus'' Obst, Funch & Kristensen, 2005 *''Symbion pandora'' Funch & Kristensen, 1995 * and one other known not yet described ==Phylogeny== {{Clade |label1='''Cycliophora''' |1={{Clade |1=''Symbion americanus'' [[File:CYC-000249 hab Symbion americanus Paratype.tif|60px]] |2=''Symbion pandora'' [[File:CYC-000075_hab_Symbion_pandora_Paratype.tif|60px]] |3=''Symbion sp.'' (may need name) }} }} ==Anatomy== Symbion are bilateral, and sac-like. The body consists of an buccal funnel, an oval trunk, a posterior stalk, and adhesive disc. The disc attaches the animal to it's lobster host (see image). ==The Fossil Record== There is no known fossil record. ==Quiz== * [[/Cycliophora Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Symbion Symbion] is the page covering the Phlyum at Wikipedia *[http://eol.org/pages/1922/overview Cyclophora] at Encyclopedia of Life *[http://tolweb.org/Cycliophora/2483 Cyclophora] at Tree of Life [[Category:Animals]] [[Category:Taxonomy]] [[Category:Biology]] [[Category:Zoology]] cu8szqcy48e1uejn4o8i6gjm5l6shgq 2844211 2844210 2026-11-03T14:29:47Z ShakespeareFan00 6645 2844211 wikitext text/x-wiki [[Image:Cycliophora - Symbion pandora.png|thumb|300px|right|''Symbion pandora'', a Cycliphoran.]] *Cycliophora *Name Meaning: Wheel carrying *English Common Name: Symbion *Major distinguishing characteristics: Circular mouth surrounded by small cilia *Approximate number of species described: at least 3 ==Description== The three species of Cyclophora live on the bodies of lobsters. They are filter feeders. Adult males lack a digestive system. The digestive system of the females changes to form part of the reproductive system to release larvae. They can reproduce sexually or by budding. ==Taxonomy== The Phylum Cyclophora consists of three species, all currently assigned to the genus ''Symbion''. *''Symbion americanus'' Obst, Funch & Kristensen, 2005 *''Symbion pandora'' Funch & Kristensen, 1995 * and one other known not yet described ==Phylogeny== {{Clade |label1='''Cycliophora''' |1={{Clade |1=''Symbion americanus'' [[File:CYC-000249 hab Symbion americanus Paratype.tif|60px]] |2=''Symbion pandora'' [[File:CYC-000075_hab_Symbion_pandora_Paratype.tif|60px]] |3=''Symbion sp.'' (may need name) }} }} ==Anatomy== Symbion are bilateral, and sac-like. The body consists of an buccal funnel, an oval trunk, a posterior stalk, and adhesive disc. The disc attaches the animal to it's lobster host (see image). ==The Fossil Record== There is no known fossil record. ==Quiz== * [[/Cycliophora Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Symbion Symbion] is the page covering the Phlyum at Wikipedia *[http://eol.org/pages/1922/overview Cyclophora] at Encyclopedia of Life *[http://tolweb.org/Cycliophora/2483 Cyclophora] at Tree of Life [[Category:Animals]] [[Category:Taxonomy]] [[Category:Biology]] [[Category:Zoology]] o4uxnp18mmwt3tsdasi1c6rjdw883pd 0 235202 2844223 2843087 2026-11-03T15:33:44Z ShakespeareFan00 6645 2844223 wikitext text/x-wiki [[Image:Barentsa discreta suzukokemusi01.JPG|thumb|300px|right|''Barentsa discreta suzukokemusi'', a species of goblet worm.]] *Entoprocta *Name Meaning: Inside anus *English Common Name: Goblet worm *Major distinguishing characteristics: Anus inside ring of cilia *Approximate number of species described: about 150 ==Natural History== Goblet worms are sessile and aquatic. Adults are goblet-shaped on relatively long stalks. They have a "crown" of tentacles lined with cilia. The cilia generate water currents drawing food toward the mouth. The mouth and anus are both inside the "crown". Some species are solitary, while others at colonial. ==Taxonomy== The Phylum is divided into four families. *Barentsiidae *Loxokalypodidae *Loxosomatidae *Pedicellinidae ==Phylogeny== {{Clade |label1='''Entoprocta''' |1={{clade |1=Barentsiidae [[File:Barentsa discreta suzukokemusi02.jpg|Barentsa_discreta_suzukokemusi02|60px]] |2=Loxokalypodidae |3=Loxosomatidae [[File:Loxosomella macginitieorum - Figures A and B (Soule & Soule, 1965) (cropped).jpg|Loxosomella_macginitieorum_-_Figures_A_and_B_(Soule_&_Soule,_1965)_(cropped)|60px]] |4=Pedicellinidae [[File:Pedicellina echinata - - Print - Iconographia Zoologica - Special Collections University of Amsterdam - UBAINV0274 093 20 0002.tif|Pedicellina_echinata_-_-_Print_-_Iconographia_Zoologica_-_Special_Collections_University_of_Amsterdam_-_UBAINV0274_093_20_0002|60px]]}} }} ==Anatomy== Adult entoprocts are goblet-shaped, with a relatively long stalk attaching the animal to a surface. They have a "crown" of 8 to 30 tentacles. The mouth and anus are on opposite sides of the area inside the crown. The digestive system is U-shaped, with a stomach near the bottom of the "U". ==The Fossil Record== Goblet worms have a limited fossil record. They are soft-bodied and don't preserve well. The earliest fossil Entoprocta known today is a 520 million year old specimen from China. There is a similar animal from the Burgess Shale (505 myo), but it has been dismissed as not a true member of the Phylum. ==Quiz== * [[/Entoprocta Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Entoprocta Entoprocta] at Wikipedia *[http://tolweb.org/Entoprocta/2491 Entoprocta] at Tree of Life *[http://eol.org/pages/2167/overview Entoprocta] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 3gze77uibcqvdz4h6mtwpxxi3vnun03 0 235203 2844227 2843090 2026-11-03T15:39:34Z ShakespeareFan00 6645 2844227 wikitext text/x-wiki [[File:Chaetonotus (Chaetonotus) polyspinosus.jpg|thumb|300px|right|''Chaetonotus polyspinosus'' a species of meiofauna.]] * Gastrotricha * Name Meaning: Hair stomach * English Common Name: Meiofauna, gastrotrichs, hairybacks * Two terminal adhesive tubes * Approximate number of species described: about 690 ==description== They are aquatic, and occur in fresh and marine waters, though a few live on land, in the liquid that surrounds soil particles. Their habitat is similar in the water, living around the particles on the bottom, or in the material that falls to the bottom. They eat detritus. Their lifespans are extremely short, they live only a few days. ==Taxonomy== The Phylum has been divided into two orders. * Order Chaetonotida * Order Macrodasyida ==Phylogeny== {{Clade |label1='''Gastrotricha''' |1={{Clade |label1=Chaetonotida |1={{Clade |1=''Neodasys'' [[File:Neodasys chaetonotoideus observé en microscopie confocal.jpg|60px]] |2=Paucitubulatina [[File:Heteroxenotrichula squamosa.jpg|60px]]}} |label2=Macrodasyida |2={{Clade |1=Cephalodasyidae [[File:Mesodasys littoralis (10.3390-d17010017) Figure 3.png|60px]] |2=Dactylopodolidae [[File:Dactylopodola australiensis South Africa.jpg|60px]] |3=Hummondasyidae |4=Lepidodasyidae [[File:Paradasys subterraneus.jpg|60px]] |5=Macrodasyidae [[File:Macrodasys2.jpg|60px]] |6=Mesodasyidae |7=Planodasyidae [[File:Megadasys (10.3390-d17010017) Figure 6.png|60px]] |8=Redudasyidae |9=Thaumastodermatidae [[File:Thaumastoderma ramuliferum.jpg|60px]] |10=Turbanellidae [[File:Turbanella bocqueti (10.3390-d17010017) Figure 14.png|60px]] |11=Urodasyidae |12=Xenodasyidae}} }} }} ==Anatomy== Worm-like, gastrotrichs have a head region housing a brain and sensory organs, and a trunk with a simple digestive system and reproductive organs. They have adhesive glands that help them attach to solid surfaces. ==The Fossil Record== With a size maximum of 3 mm (0.118 in), and being soft bodied, they're unlikely to have fossilized and no fossils are known. ==Quiz== * [[/Gastrotricha Quiz/]] ==References and Further Reading== * [[https://en.wikipedia.org/wiki/Gastrotrich Gastrotricha]] at Wikipedia * [http://eol.org/pages/8728/overview Gastrotricha] at Encyclopedia of Life * [http://tolweb.org/Gastrotricha/2479 Gastrotricha] at Tree of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 4vjo1fkhgqj94ptgig9jze7hde5zste 0 235204 2844228 2843091 2026-11-03T15:40:38Z ShakespeareFan00 6645 2844228 wikitext text/x-wiki [[Image:Gnathostomula paradoxa Sylt.tif|thumb|300px|Right|''Gnathostomula paradoxa'', a jaw worm.]] *Gnathostomulida *Name Meaning: Jaw orifice *English Common Name: Jaw worms *Major distinguishing characteristics: *Approximate number of species described: about 300 ==Description== Jaw worms are all aquatic and marine. They live in the sand and mud in shallow coastal waters. ==Taxonomy== There are two recognized orders within the Phylum Gnathostomulida. *Filospermoidea *Bursovaginoidea ==Phylogeny== {{Clade |label1='''Gnathostomulida''' |1={{Clade |label1=Filospermoidea |1={{Clade |1=''Haplognathia'' [[File:Haplognathia filum Ellekilde.tif|60px]] |label2=Pterognathiidae |2={{Clade |1=''Cosmognathia'' |2=''Pterognathia''}} }} |label2=Bursovaginoidea |2={{Clade |1=Austrognathiidae |label2=Scleroperalia |2={{Clade |1=Agnathiellidae |2=''Clausognathia'' |3=''Gnathostomaria'' |4=Gnathostomulidae [[File:Gnathostomulida Bursovaginoidea.jpg|60px]] |5=Mesognathariidae |6=Onychognathiidae |7=''Paucidentula anonyma'' |8=''Problognathia minima'' |9=''Rastrognathia macrostoma''}} }} }} }} ==Anatomy== [[File:Gnathifera jaws 5.jpg|thumb|300px|Different jaws of Gnathifers]] The powerfully jawed mouth is just behind the head end and opens into a blind-ending tube. There is no anus. They have no circulatory or respiratory system. They are hermaphroditic, with one ovary and two testes. ==The Fossil Record== There is no known fossil record. ==Quiz== * [[/Gnathostomulida Quiz/]] ==References and Further Reading== *[[Wikipedia:Gnathostumulida]] at Wikipedia *[http://tolweb.org/Gnathostomulida/2481 Gnathostumulida] at Tree of Life *[http://eol.org/pages/8747/overview Gnathostumulida] at Encyclopedia of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 24she6d2qpsey9i4vy62p3r37dr9km4 0 235206 2844229 2843092 2026-11-03T15:41:07Z ShakespeareFan00 6645 2844229 wikitext text/x-wiki [[Image:Paracentrophyes quadridentatus.jpg|thumb|300px|right|''Paracentrophyes quadridentatus'', a mud dragon.]] *Kinorhyncha *Name Meaning: Motion snout *English Common Name: Mud dragons *Major distinguishing characteristics: Eleven segments, each with a dorsal plate *Approximate number of species described: about 150 ==Environment== The Kinorhyncha are widespread in mud or sand at all depths in marine waters. They live in the sand or mud, hence mud dragons. ==Taxonomy== The Phylum is divided into two classes. *Class Cyclorhagida *Class Allomalorhagida ==Phylogeny== {{Clade |label1='''Kinorhyncha''' |1={{Clade |1=†Eokinorhynchus rarus [[File:Eokinorhynchus.png|60x60px]] |label2=Cyclorhagida |2={{Clade |1=Echinoderidae [[File:Echinoderes hwiizaa.jpg|60x60px]] |2=Campyloderidae |label3=Kentrorhagata |3={{Clade |1=''Antygomonas'' |2=?''Cateria'' |state2=doted |3=Centroderidae |4=Semnoderidae |5=Zelinkaderidae [[File:Kinorhyncha.png|60px]]}} }} |label3=Allomalorhagida |3={{Clade |1=Pycnophyidae [[File:Cristaphyes glaurung (10.7717-peerj.5653) Figure 7 (Panel A).png|60x60px]] |label2=Anomoirhaga |2={{Clade |1=?''Cateria'' |state1=doted |2=''Dracoderes'' |3=Franciscideridae |4=Neocentrophyidae}} }} }} }} ==Anatomy== Mud dragons are segmented and limbless. They have a body with three parts, the head, neck, and a trunk of eleven segments. They do not have cilia, but do have a number of spines along the body, plus up to 7 circles of spines around the head. These spines are used for locomotion. ==The Fossil Record== There is apparently no fossil record of these very small animals. ==Quiz== * [[/Kinorhyncha Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Kinorhyncha Kinorhyncha] at Wikipedia *[http://tolweb.org/Kinorhyncha/2474 Kinorhyncha] at Tree of Life *[http://eol.org/pages/1526/overview Kinorhyncha] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 7lb3iz4mcqivq2nazcao9qfgcdslyrq 0 235207 2844230 2843094 2026-11-03T15:41:29Z ShakespeareFan00 6645 2844230 wikitext text/x-wiki [[Image:Pliciloricus enigmatus.jpg|thumb|300px|right|A member of the Phylum Loricifera, ''Pliciloricus enigmatus''.]] Loricifera *Name Meaning: Corset bearer *English Common Name: Brush heads *Major distinguishing characteristics: Umbrella-like scales at each end *Approximate number of species described: about 122 ==Natural History== The Loricifera are marine animals. They live in the sediment between the grains of gravel or other sediment types. ==Taxonomy== The Phylum is divided into one order and three families. *Order Nanaloricida **Family Nanaloricidae **Family Pliciloricidae **Family Urnaloricidae ==Phylogeny== {{Clade |label1='''Loricifera''' |1={{Clade |1=†''Eolorica deadwoodensis'' |2=†''Orstenoloricus shergoldii'' |label3=†''Sirilorica'' [[File:Sirilorica.png|60px]] |3={{Clade |1=†''Sirilorica carlsbergi'' |2=†''Sirilorica pustulosa''}} |4={{Clade |1=''Patuloricus tangaroa'' |2=''Tenuiloricus shirayamai'' |3={{Clade |1=Urnaloricus |2=Pliciloricidae [[File:Pliciloricus enigmatus.jpg|60px]] |3=Nanaloricidae [[File:Spinoloricus.png|60px]]}} }} }} }} ==Anatomy== The small-bodied Loricifera have a head, mouth and digestive system. They also have a lorica, which is an armor-like lorica which is a protective external shell. ==The Fossil Record== One fossil, the Cambrian-era ''Eolorica deadwoodensis'' may be associated with the Loricifera. ==Quiz== * [[/Loricifera Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Loricifera Loricifera] at Wikipedia *[http://tolweb.org/Loricifera/2475 Loricifera] at Tree of Life *[http://eol.org/pages/1537/overview Loricifera] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] fvulo6v4w901osaioar550ovxswf9po 0 235209 2844231 2843095 2026-11-03T15:42:08Z ShakespeareFan00 6645 2844231 wikitext text/x-wiki [[Image:Limnonathia, drawing.tif|thumb|300px|right|''Limnonathia'', drawing, a Micrognathozoan.]] *Micrognathozoa (sometimes called Phylum Gnathifera) *Name Meaning: Tiny jaw animals *English Common Name: Micrognathozoans *Major distinguishing characteristics: Accordion like extensible thorax *Approximate number of species described: 1 ==Description== Micrognathozoa are one of the smallest animals, averaging one-tenth of a millimeter (0.004 inches) long. Its main diet is bacteria, blue-green algae and diatoms. L. maerski has a large ganglion, or 'brain', in its head, and paired nerve cords ==Taxonomy== One species is known. It's classification is: *Class Micrognathozoa *Order Limnognathida *Family Limnognathiidae *species ''Limnognathia maerski'' ==Phylogeny== Oh, this is the least amount of clades in a phylum. {{Clade |label1='''Micrognathozoa''' |1={{Clade |label1='''Limnognathida''' |1={{Clade |label1='''Limnognathiidae''' |1={{Clade |label1='''Limnognathia''' |1={{Clade |1='''Limnognathia maerski'''}}}}}}}}}} ==Anatomy== They have very complicated jaws, the parts connected by ligaments and muscles. They can extend part of the jaw outside the mouth to eat or regurgitate indigestible items. It's possible that Micrognathans hatch as males and become female as they grow. ==The Fossil Record== There is no known fossil record. ==Quiz== * [[/Micrognathozoa Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Limnognathia Micrognathozoa] at Wikipedia (the sole genus is ''Limnognathia'') *[http://tolweb.org/Limnognathia_maerski/2482 Micrognathozoa] at Tree of Life (the sole species is ''Limnognathia maerski'') *[http://eol.org/pages/5006388/overview Micrognathozoa] at Encyclopedia of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] eyhl627fnb7gjm29tbup9zscrrkt61l 0 235218 2844233 2843097 2026-11-03T16:23:35Z ShakespeareFan00 6645 2844233 wikitext text/x-wiki [[Image:Mermis nigrescens beentree.jpg|thumb|300px|Right|''Mermis nigrescens beentree'', a nematode worm.]] *Nematoda *Name Meaning: Thread like *English Common Name: Round worms, Nematodes *Major distinguishing characteristics: Round cross section, keratin, cuticle *Approximate number of species described: 80 000 - 1 million ==Description== Nematodes live in almost every environment. About half of known species are parasitic, about 35 species in humans. About 90% of the animals found on the ocean floor are Nematodes. They have been found in the deepest gold mines in South Africa. ==Taxonomy== There are at least four classes, but little is known about many nematodes, so this is subject to revision. *Chromadorea *Enoplea *Secernentea *Dorylaimea Over 2200 genera are recognized in over 250 families. New species are regularly being described. ==Phylogeny== {{Clade |label1='''Nematoda''' |1={{clade |1=Monhysterida |2={{Clade |label1=Chromadorea |1={{Clade |1=Araeolaimida |2=Chromadorida |3=Desmodorida |4=Desmoscolecida |5=Monhysterida |6=Rhigonematida |7=Leptoaimida |8={{Clade |1=Ascaridida |2=Rhabditida}} }} |label2=Enoplea |2={{clade |label1=Enoplia |1={{Clade |1=Rhaptothyreida |label2=Enoplica |2={{Clade |1=Enoplida |2=Ironida |3=Tripyloidida |4=Alaimida |5=Trefusiida}} }} |2=Oncholaimida |label3=Triplonchica |3={{clade |1=Triplonchida |2=Tripylida}} |label4=Dorylaimia |4={{clade |1=Dioctophymida |2=Dorylaimida |3=Mermithida |4=Mononchida |5=Trichocephalida }} }} }} }} }} ==Anatomy== Nematodes are worms ranging in length from 0.1 millimeter to 1 meter (3 feet). They have a tubular digestive system with a mouth and an anus. The mouth may have three or six "lips", and may have teeth. The body is bilaterally symmetrical, but the distinct head is radially symmetrical. ==The Fossil Record== Nematodes are soft bodied and most are extremely small making fossilization problematic. However, fossils from Cambrian China have been found, suggesting they existed in the Precambrian. ==Quiz== * [[/Nematoda Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Nematode Nematoda] at Wikipedia *[http://tolweb.org/Nematoda/2472 Nematoda] at Tree of Life *[http://eol.org/pages/2715/overview Nematoda] at Encyclopedia of Life *[http://www.fossilmuseum.net/fossils/Nematoda-fossils.htm Nematoda Fossils] at the Virtual Fossil Museum [[Category:Animals]] [[Category:Biology]] [[Category:Zoology]] [[Category:Taxonomy]] 2p96ig1xg1yqlsemnjzf35h45p1m695 2844234 2844233 2026-11-03T16:25:57Z ShakespeareFan00 6645 2844234 wikitext text/x-wiki [[Image:Mermis nigrescens beentree.jpg|thumb|300px|right|''Mermis nigrescens beentree'', a nematode worm.]] *Nematoda *Name Meaning: Thread like *English Common Name: Round worms, Nematodes *Major distinguishing characteristics: Round cross section, keratin, cuticle *Approximate number of species described: 80 000 - 1 million ==Description== Nematodes live in almost every environment. About half of known species are parasitic, about 35 species in humans. About 90% of the animals found on the ocean floor are Nematodes. They have been found in the deepest gold mines in South Africa. ==Taxonomy== There are at least four classes, but little is known about many nematodes, so this is subject to revision. *Chromadorea *Enoplea *Secernentea *Dorylaimea Over 2200 genera are recognized in over 250 families. New species are regularly being described. ==Phylogeny== {{Clade |label1='''Nematoda''' |1={{clade |1=Monhysterida |2={{Clade |label1=Chromadorea |1={{Clade |1=Araeolaimida |2=Chromadorida |3=Desmodorida |4=Desmoscolecida |5=Monhysterida |6=Rhigonematida |7=Leptoaimida |8={{Clade |1=Ascaridida |2=Rhabditida}} }} |label2=Enoplea |2={{clade |label1=Enoplia |1={{Clade |1=Rhaptothyreida |label2=Enoplica |2={{Clade |1=Enoplida |2=Ironida |3=Tripyloidida |4=Alaimida |5=Trefusiida}} }} |2=Oncholaimida |label3=Triplonchica |3={{clade |1=Triplonchida |2=Tripylida}} |label4=Dorylaimia |4={{clade |1=Dioctophymida |2=Dorylaimida |3=Mermithida |4=Mononchida |5=Trichocephalida }} }} }} }} }} ==Anatomy== Nematodes are worms ranging in length from 0.1 millimeter to 1 meter (3 feet). They have a tubular digestive system with a mouth and an anus. The mouth may have three or six "lips", and may have teeth. The body is bilaterally symmetrical, but the distinct head is radially symmetrical. ==The Fossil Record== Nematodes are soft bodied and most are extremely small making fossilization problematic. However, fossils from Cambrian China have been found, suggesting they existed in the Precambrian. ==Quiz== * [[/Nematoda Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Nematode Nematoda] at Wikipedia *[http://tolweb.org/Nematoda/2472 Nematoda] at Tree of Life *[http://eol.org/pages/2715/overview Nematoda] at Encyclopedia of Life *[http://www.fossilmuseum.net/fossils/Nematoda-fossils.htm Nematoda Fossils] at the Virtual Fossil Museum [[Category:Animals]] [[Category:Biology]] [[Category:Zoology]] [[Category:Taxonomy]] kzz3ha0s2zdtwa1khebu3akdrk1etkt 0 235219 2844235 2843098 2026-11-03T16:26:43Z ShakespeareFan00 6645 2844235 wikitext text/x-wiki [[Image:Gordiidae A MRKVICKA.JPG|thumb|300px|right|A worm in the family Gordiidae, within the Phylum Nematomorpha.]] *Nematomorpha *Name Meaning: Thread form *English Common Name: Horsehair worms, Gordian worms *Major distinguishing characteristics: *Approximate number of species described: about 320 known, about 2000 probable ==Description== The adult worms are free-living in freshwater, with the exception of 5 marine species known. The larvae are parasitic on arthropods (such as insects and crustaceans). The larva cause the changes in the brain of the host that eventually cause the host to seek water and drown. The parasite then emerges into the water as an adult worm. Adults sometimes congregate in balls, wrapping around one another. ==Taxonomy== There are two classes. * Nectonematoida, which includes the 5 marine species in the genus ''Nectonema''. * Gordioida which includes two families of freshwater species **Chordodidae **Gordiidae ==Phylogeny== {{Clade |label1='''Nematomarpha''' |1={{Clade |label1=Gordioidea |1={{Clade |label1=Gordiidae |1={{Clade |1=''Acutogordius'' |2=''Gordius''}} |label2=Chordodidae |2={{clade |1=''Gordionus'' |2=''Parachordodes'' |3=''Paragordius'' |4=''Paragordionus'' |5=''Semigordionus'' |label6=Chordodinae |6={{Clade |1=''Chordodes'' |2=''Dacochordodes'' |3=''Euchordodes'' |4=''Neochordodes'' |5=''Pantachordodes'' |6=''Spinochordodes''}} }} }} |label2=''Nectonema'' |2={{clade |1=''Nectonema agile'' |2=''Nectonema melanocephalum'' |3=''Nectonema munidae'' |4=''Nectonema svensksundi'' |5=''Nectonema zealandica''}} }} }} ==Anatomy== Horsehair worms range in length from 50 millimeters (2 in) to 2 meters (6 feet). Their nervous system consists of a nerve ring that apparently serves as a brain near the "front", and a ventral nerve cord. There are no functioning digestive, circulatory or other systems. ==The Fossil Record== Fossils resembling Nematomorpha have been found in the early Cambrian of China. ==Quiz== * [[/Nematomorpha Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Nematomorpha Nematomorpha] at Wikipedia *[http://tolweb.org/Nematomorpha/2473 Nematomorpha] at Tree of Life *[http://eol.org/pages/1539/overview Nematomorpha] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 09whamcvahx5j0qzc6k1t41x2tpungt 0 235222 2844236 2843100 2026-11-03T16:27:22Z ShakespeareFan00 6645 2844236 wikitext text/x-wiki [[Image:Orthonetida dict flat and cylinder.png|thumb|300px|right|Orthonetida, an Orthonectidan.]] *Orthonectida *Name Meaning: Straight swim *English Common Name: Orthonectidans *Major distinguishing characteristics: *Approximate number of species described: about 20 ==Natural History== ==Taxonomy== Orthonectida has two families: *Rhopaluridae *Pelmatosphaeridae ==Phylogeny== {{Clade |label1='''Orthonectida''' |1={{Clade |1=''Pelmatosphaera polycirri'' |label2=Rhopaluridae |2={{Clade |1={{Clade |1=''Neosabellaria cementarium'' |label2=''Ciliocincta'' |2={{Clade |1=''Ciliocincta akkeshiensis'' |2=''Ciliocincta julini''}}}} |3={{Clade |1=''Rhopalura major'' |label2=''Intoshia'' |2={{Clade |1=''Intoshia leptoplanae'' |2=''Intoshia linei'' |3=''Intoshia metchnikovi'' |4=''Intoshia paraphanostomae'' |5=''Intoshia variabili'' }} |label3=''Rhopalura'' |3={{Clade |1=''Rhopalura elongata'' |2=''Rhopalura gigas'' |3=''Rhopalura granosa'' |4=''Rhopalura intoshi'' |5=''Rhopalura murmanica'' |6=''Rhopalura ophiocomae'' |7=''Rhopalura pelseneeri'' |8=''Rhopalura philinae'' |9=''Rhopalura pterocirri'' |10=''Rhopalura vermiculicola''}} }} |label2=''Stoecharthrum'' |2={{Clade |1=''Stoecharthrum burresoni'' |2=''Stoecharthrum fosterae'' |3=''Stoecharthrum giardi'' |4=''Stoecharthrum monnati''}} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Orthonectida Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Orthonectida Orthonectida] at Wikipedia *[http://eol.org/pages/8769/overview Orthonectida] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] l6ep2kbrpaikhlfgexan7g25lj91xkd 0 235223 2844238 2843101 2026-11-03T16:32:06Z ShakespeareFan00 6645 2844238 wikitext text/x-wiki [[Image:Phoronis Maria Grazia Montanucci2.jpg|thumb|300px|Right|'' Phoronis hippocrepis'', a species of horseshoe worm.]] *Phoronida *Name Meaning: Zeus' mistress *English Common Name: Horseshoe worms *Major distinguishing characteristics: U-shaped gut *Approximate number of species described: 20 ==Natural History== ==Taxonomy== There are two genera, each characterized by development: *''Phoronis'' (Adults) *''Actinotrochaca'' (Larvae) ==Phylogeny== {{Clade |label1='''Phoronida''' |1={{Clade |label1=''Actinotrocha'' |sublabel1=(Larvae) |1={{Clade |1=''Actinotrocha hippocrepia'' |2=''Actinotrocha vancouverensis'' |3=''Actinotrocha branchiata'' |4=''Actinotrocha sabatieri'' |5=''Actinotrocha pallida'' |6=''Actinotrocha harmeri''}} |label2=Phoronini |sublabel2=(Adults) |2={{Clade |label1=''Phoronopsis'' |1={{Clade |1=''Phoronopsis albomaculata'' |2=''Phoronopsis harmeri'' |3=''Phoronopsis californica''}} |label2=''Phoronis'' |2={{clade |1=''Phoronis ovalis'' |2=''Phoronis hippocrepia'' |7={{clade |1=''Phoronis ijimai'' |2=''Phoronis vancouverensis''}} |4=''Phoronis australis'' |5=''Phoronis muelleri'' |6=''Phoronis psammophila'' |3=''Phoronis pallida''}} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Phoronida Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Phoronid Phoronida] at Wikipedia *[http://tolweb.org/Phoronida/2493 Phoronida] at Tree of Life *[http://eol.org/pages/8867/overview Phoronida] at Encyclopedia of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 906xh5323uqpht22foveo12zcfpb163 2844239 2844238 2026-11-03T16:32:48Z ShakespeareFan00 6645 2844239 wikitext text/x-wiki [[Image:Phoronis Maria Grazia Montanucci2.jpg|thumb|300px|right|'' Phoronis hippocrepis'', a species of horseshoe worm.]] *Phoronida *Name Meaning: Zeus' mistress *English Common Name: Horseshoe worms *Major distinguishing characteristics: U-shaped gut *Approximate number of species described: 20 ==Natural History== ==Taxonomy== There are two genera, each characterized by development: *''Phoronis'' (Adults) *''Actinotrochaca'' (Larvae) ==Phylogeny== {{Clade |label1='''Phoronida''' |1={{Clade |label1=''Actinotrocha'' |sublabel1=(Larvae) |1={{Clade |1=''Actinotrocha hippocrepia'' |2=''Actinotrocha vancouverensis'' |3=''Actinotrocha branchiata'' |4=''Actinotrocha sabatieri'' |5=''Actinotrocha pallida'' |6=''Actinotrocha harmeri''}} |label2=Phoronini |sublabel2=(Adults) |2={{Clade |label1=''Phoronopsis'' |1={{Clade |1=''Phoronopsis albomaculata'' |2=''Phoronopsis harmeri'' |3=''Phoronopsis californica''}} |label2=''Phoronis'' |2={{clade |1=''Phoronis ovalis'' |2=''Phoronis hippocrepia'' |7={{clade |1=''Phoronis ijimai'' |2=''Phoronis vancouverensis''}} |4=''Phoronis australis'' |5=''Phoronis muelleri'' |6=''Phoronis psammophila'' |3=''Phoronis pallida''}} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Phoronida Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Phoronid Phoronida] at Wikipedia *[http://tolweb.org/Phoronida/2493 Phoronida] at Tree of Life *[http://eol.org/pages/8867/overview Phoronida] at Encyclopedia of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] irkbryyiotaa6gp37yq58hn902x29z7 0 235224 2844241 2843102 2026-11-03T16:36:23Z ShakespeareFan00 6645 2844241 wikitext text/x-wiki [[Image:Trichoplax adhaerens photograph.png|thumb|300px|right|''Trichoplax adhaerens'', a species within the Phylum Placozoa.]] *Placozoa *Name Meaning: Plate animals *English Common Name: none *Major distinguishing characteristics: *Approximate number of species described: 4 ==Natural History== ==Taxonomy== This phylum is one of the fewest biodiverse phyla. ==Phylogeny== Behold a phylum with an underwhelming number of species: {{clade| style= |label1='''Placozoa''' |1={{clade |label1=Polyplacotomia|1={{clade |label1=Polyplacotomea|1={{clade |label1=Polyplacotomidae |1=''Polyplacotoma mediterranea'' H0}}}} |label2=Uniplacotomia |2={{clade |label1=Trichoplacea|1={{clade |label1=Trichoplacidae |1={{clade |1=''Trichoplax adhaerens'' H1 }}}} |2={{clade |label1=Cladhexea |1=H11 |label2=Hoilungea |2={{clade |label1=Cladtertiidae |1={{clade |1=''Cladtertia collaboinventa'' H23 }} |label2=Hoilungidae |2={{clade |1=''Hoilungia hongkongensis'' H13 }} }} }} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Placozoa Quiz/]] ==References== *[https://en.wikipedia.org/wiki/Placozoa Placozoa] at Wikipedia *[http://tolweb.org/Placozoa Placozoa] at Tree of Life *[http://eol.org/pages/8773/overview Placozoa] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] cjp5muwvq9u6x4xxnook54q38oos9r6 0 235228 2844243 2843103 2026-11-03T16:37:48Z ShakespeareFan00 6645 2844243 wikitext text/x-wiki [[Image:Limnognathia maerski.PNG|thumb|300px|right|Illustration of ''Limnognathia maerski'', a lozenge animal.]] *Rhombozoa, also called Dicyemida *Name Meaning: Lozenge animal *English Common Name: Lozenge animals *Major distinguishing characteristics: Single axial cell surrounded by ciliated cells *Approximate number of species described: 75 ==Natural History== ==Taxonomy== This phylum contains 3 families: *Conocyemidae *Dicyemidae *Kantharellidae ==Phylogeny== {{clade |label1='''Rhombozoa''' |1={{clade |1=''Kantharella antarctica'' |label2=Dicyemida |2={{clade |label1=Conocyemidae |1={{clade |1=''Conocyema'' |2=''Microcyema''}} |label2=Dicyemidae |2={{clade |1=''Dodecadicyema loligoi |2=''Pleodicyema delamarei |6=''Dicyema |5=''Dicyemennea |label3=''Dicyemodeca |3={{clade |1=''Dicyemodeca anthinocephalum |2=''Dicyemodeca deca |3=''Dicyemodeca dogieli }} |label4=''Pseudicyema |4={{clade |1=''Pseudicyema cappacephalum |2=''Pseudicyema nakaoi |3=''Pseudicyema truncatum}} }} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Rhombozoa Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Dicyemida Rhombozoa] at Wikipedia *[http://eol.org/pages/8764/overview Rhombozoa] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 2gdqbj0wxtxxbmf7mvm1nh9vwnmozh8 2844244 2844243 2026-11-03T16:39:48Z ShakespeareFan00 6645 2844244 wikitext text/x-wiki [[Image:Limnognathia maerski.PNG|thumb|300px|right|Illustration of ''Limnognathia maerski'', a lozenge animal.]] *Rhombozoa, also called Dicyemida *Name Meaning: Lozenge animal *English Common Name: Lozenge animals *Major distinguishing characteristics: Single axial cell surrounded by ciliated cells *Approximate number of species described: 75 ==Natural History== ==Taxonomy== This phylum contains 3 families: *Conocyemidae *Dicyemidae *Kantharellidae ==Phylogeny== {{clade |label1='''Rhombozoa''' |1={{clade |1=''Kantharella antarctica'' |label2=Dicyemida |2={{clade |label1=Conocyemidae |1={{clade |1=''Conocyema'' |2=''Microcyema''}} |label2=Dicyemidae |2={{clade |1=''Dodecadicyema loligoi'' |2=''Pleodicyema delamarei'' |6=''Dicyema'' |5=''Dicyemennea'' |label3=''Dicyemodeca'' |3={{clade |1=''Dicyemodeca anthinocephalum'' |2=''Dicyemodeca deca'' |3=''Dicyemodeca dogieli'' }} |label4=''Pseudicyema'' |4={{clade |1=''Pseudicyema cappacephalum'' |2=''Pseudicyema nakaoi'' |3=''Pseudicyema truncatum''}} }} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Rhombozoa Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Dicyemida Rhombozoa] at Wikipedia *[http://eol.org/pages/8764/overview Rhombozoa] at Encyclopedia of Life {{Animalia}} [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 16t3xf9mucz5ogq2furefpq6sgsyl37 0 235229 2844246 2843105 2026-11-03T16:40:47Z ShakespeareFan00 6645 2844246 wikitext text/x-wiki [[Image:20090730 020239 Rotifer.jpg|thumb|300px|right|An unidentified rotifer.]] * Rotifera * Name Meaning: Wheel bearer * English Common Name: Rotifers * Major distinguishing characteristics: Anterior crown of cilia * Approximate number of species described: about 2000 ==Natural History== ==Taxonomy== The phylum Rotifera has 5 classes: *Class Bdelloidea *Class Monogononta *Class Archiacanthocephala *Class Eoacanthocephala *Class Palaeacanthocephala Additionally, there are some ''Incertae sedis'' families. ==Phylogeny== {{clade |label1='''Rotifera''' |1={{clade |1=''Polyacanthorhynchus'' |label2=Seisonidae |2={{clade |1=''Paraseison'' |2=''Seison}} |label3=Eurotatoria |3={{clade |label1=Bdelloidea |1={{clade |1=Adinetida |2=Philodinavida |3=Philodinida}} |label2=Monogononta |2={{clade |1=Collothecaceae |2=Flosculariaceae |3=Ploima}} }} |label4=Acanthocephala |4={{clade |label1=Archiacanthocephala |1={{clade |1=Apororhynchida |2=Gigantorhynchida |3=Moniliformida |4=Oligacanthorhynchida}} |label2=Eoacanthocephala |2={{clade |1=Gyracanthocephala |2=Neoechinorhynchida}} |label3=Palaeacanthocephala |3={{clade |1=Echinorhynchida |2=Heteramorphida |3=Polymorphida}} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Rotifera Quiz/]] ==References and Further Reading== * [https://en.wikipedia.org/wiki/Rotifer Rotifera] at Wikipedia * [http://tolweb.org/Rotifera/2480 Rotifera] at Tree of Life * [http://eol.org/pages/6851/overview Rotifera] at Encyclopedia of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] b0o9ye96pjjw3tgfv7ycqmujelht5qe 2844247 2844246 2026-11-03T16:41:41Z ShakespeareFan00 6645 2844247 wikitext text/x-wiki [[Image:20090730 020239 Rotifer.jpg|thumb|300px|right|An unidentified rotifer.]] * Rotifera * Name Meaning: Wheel bearer * English Common Name: Rotifers * Major distinguishing characteristics: Anterior crown of cilia * Approximate number of species described: about 2000 ==Natural History== ==Taxonomy== The phylum Rotifera has 5 classes: *Class Bdelloidea *Class Monogononta *Class Archiacanthocephala *Class Eoacanthocephala *Class Palaeacanthocephala Additionally, there are some ''Incertae sedis'' families. ==Phylogeny== {{clade |label1='''Rotifera''' |1={{clade |1=''Polyacanthorhynchus'' |label2=Seisonidae |2={{clade |1=''Paraseison'' |2=''Seison''}} |label3=Eurotatoria |3={{clade |label1=Bdelloidea |1={{clade |1=Adinetida |2=Philodinavida |3=Philodinida}} |label2=Monogononta |2={{clade |1=Collothecaceae |2=Flosculariaceae |3=Ploima}} }} |label4=Acanthocephala |4={{clade |label1=Archiacanthocephala |1={{clade |1=Apororhynchida |2=Gigantorhynchida |3=Moniliformida |4=Oligacanthorhynchida}} |label2=Eoacanthocephala |2={{clade |1=Gyracanthocephala |2=Neoechinorhynchida}} |label3=Palaeacanthocephala |3={{clade |1=Echinorhynchida |2=Heteramorphida |3=Polymorphida}} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Rotifera Quiz/]] ==References and Further Reading== * [https://en.wikipedia.org/wiki/Rotifer Rotifera] at Wikipedia * [http://tolweb.org/Rotifera/2480 Rotifera] at Tree of Life * [http://eol.org/pages/6851/overview Rotifera] at Encyclopedia of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] mjuk4f4ny107nx4povvfcu5vwvryezm 0 235231 2844204 2843000 2026-11-03T14:02:22Z ShakespeareFan00 6645 2844204 wikitext text/x-wiki [[Image:SEM image of Milnesium tardigradum in active state - journal.pone.0045682.g001-2.png|thumb|300px|right|Scanning Electron Microscope image of ''Milnesium tardigradum'' in active state.]] *Tardigrada *Name Meaning: Slow step *English Common Name: Water bears *Major distinguishing characteristics: Four segmented body and head *Approximate number of species described: 1,000+ ==Natural History== ==Taxonomy== There is only one monophyletic class: *Eutardigrada All others (Heterotardigrada, Mesotardigrada) are either paraphyletic or dubious. ==Phylogeny== {{clade |label1='''Tardigrada''' |1={{clade |1=''Thermozodium esakii'' [[File:F02 05.jpg|60x60px]] |2="Arthrotardigrada" [[File:USNM 1616673 - Florarctus white background.jpg|70px]] |3={{clade |1=Echiniscoidea [[File:Echiniscus insularis (10.3897-evolsyst.5.59997) Figure 6 (white background).jpg|69px]] |label2=Eutardigrada |sublabel2=<small>(The only monophyletic class in this phylum)</small> |2={{clade |label1=Apochela |1=Milnesiidae [[File:SEM image of Milnesium tardigradum in active state - journal.pone.0045682.g001-2.png|70px]] |label2=Parachela |2={{clade |1=''Isohypsibius''<!--(''Isohypsibius'', ''Eremobiotus'', ''Halobiotus'')--> [[File:Isohypibius malawiensis Paratype.jpg|70px]] |2={{clade |1=Macrobiotidae<!--(inc. ''Macrobiotus'') + ''Bertolanius nebulosus''--> [[File:Macrobiotus ovovittatus white background.png|70px]] |2=Hypsibiidae<!--(inc. ''[[Hypsibius]]'', ''Diphascon'')--> [[File:Hypsibius exemplaris white background.jpg|70px]]<!--''Hypsibius'' sp.--> }} }} }} }} }} }} ==Anatomy== ==The Fossil Record== ==Quiz== * [[/Tardigrada Quiz/]] ==References and Further Reading== *[https://en.wikipedia.org/wiki/Tardigrade Tardigrada] at Wikipedia *[http://tolweb.org/Tardigrada/2471 Tardigrada] at Tree of Life *[http://eol.org/pages/3204/overview Tardigrada] at Encyclopedia of Life [[Category:Animals]] [[Category:Biology]] [[Category:Taxonomy]] [[Category:Zoology]] 2ngwk9wrqfbzc2bfd2tq5cwnje2mt3i 0 241565 2844400 2844159 2026-11-04T03:14:45Z Jtneill 10242 /* Motivation */ Update 2844400 wikitext text/x-wiki {{/Banner}} ==2026== ===Motivation=== * I think learning about concepts such as '''intrinsic and extrinsic motivation''' was interesting, because I was able to relate a concept to things we all do in our daily lives * The internalisation continuum (Self-Determination Theory) was my biggest aha moment. I recognised many of my “shoulds” as '''introjected regulation''': rules taken from outside but never really digested, held in place by shame, guilt and contingent self-worth. For example, “doing nothing means you’re lazy” and “there must be one correct answer”. ===Emotion=== ===Other=== ==See also== * [[/Previous years/]] [[Category:Motivation and emotion]] fh2qnk5ckb8wggxmsxv9geza5pumzum 2844401 2844400 2026-11-04T03:15:31Z Jtneill 10242 /* Emotion */ Update 2844401 wikitext text/x-wiki {{/Banner}} ==2026== ===Motivation=== * I think learning about concepts such as '''intrinsic and extrinsic motivation''' was interesting, because I was able to relate a concept to things we all do in our daily lives * The internalisation continuum (Self-Determination Theory) was my biggest aha moment. I recognised many of my “shoulds” as '''introjected regulation''': rules taken from outside but never really digested, held in place by shame, guilt and contingent self-worth. For example, “doing nothing means you’re lazy” and “there must be one correct answer”. ===Emotion=== * Widened my base knowledge and expanded what I knew and I realised there is so much more to learn * Learning about all the '''different emotions''', and how they are separate etc '''basic, cognitively complex, and self conscious''' * How emotions influence behaviour and how there's '''no such thing as a bad emotion''' ===Other=== ==See also== * [[/Previous years/]] [[Category:Motivation and emotion]] c6xu004znjm7tao8d6pml7vcpu13m15 2844402 2844401 2026-11-04T03:15:59Z Jtneill 10242 /* Other */ Update 2844402 wikitext text/x-wiki {{/Banner}} ==2026== ===Motivation=== * I think learning about concepts such as '''intrinsic and extrinsic motivation''' was interesting, because I was able to relate a concept to things we all do in our daily lives * The internalisation continuum (Self-Determination Theory) was my biggest aha moment. I recognised many of my “shoulds” as '''introjected regulation''': rules taken from outside but never really digested, held in place by shame, guilt and contingent self-worth. For example, “doing nothing means you’re lazy” and “there must be one correct answer”. ===Emotion=== * Widened my base knowledge and expanded what I knew and I realised there is so much more to learn * Learning about all the '''different emotions''', and how they are separate etc '''basic, cognitively complex, and self conscious''' * How emotions influence behaviour and how there's '''no such thing as a bad emotion''' ===Other=== * My book chapter helped me dive so deeply in a topic I found interesting which was really insightful ==See also== * [[/Previous years/]] [[Category:Motivation and emotion]] 1z5oppld1286ri73q8rzxff6ewq4rth 0 250589 2844248 2843123 2026-11-03T16:42:44Z ShakespeareFan00 6645 2844248 wikitext text/x-wiki [[Image:Hornwort (3144429129).jpg|thumb|300px|right|A Hornwort.]] Hornworts are a group of non-vascular Embryophytes constituting the division Anthocerotophyta (/ˌænθoʊˌsɛrəˈtɒfətə, -təˈfaɪtə/). The common name refers to the elongated horn-like structure, which is the [[Wikipedia:sporophyte|sporophyte]]. [[Image:Dendroceros.jpg|thumb|300px|The hornwort ''Dendroceros crispus'' growing on the bark of a tree.]] ==Information== Name Meaning: Anthoceros-like plant English Common Name: Hornworts Major distinguishing characteristics: Horn-shaped sporophytes, no vascular system Approximate number of species described: 100-300 ==Evolutionary History== Though the fossil record of crown group hornworts only begins in the upper Cretaceous, the lower Devonian ''Horneophyton'' might represent a stem group to the clade, as it possesses a sporangium with central columella not attached at the roof.But the same form of columella is also characteristic of basal moss groups, such as the Sphagnopsida and Andreaeopsida, and has been interpreted as a character common to all early land plants with stomata.<ref>{{cite book | last=Kenrick | first=Paul |author2=Peter R. Crane | year=1997 | title= The Origin and Early Diversification of Land Plants: A Cladistic Study | location=Washington, D. C. | publisher= Smithsonian Institution Press | pages=55–56 | isbn=1-56098-730-8 }}</ref> The divergence between hornworts and Setaphyta (mosses and liverworts) is estimated to have occurred 479–450 million years ago,<ref>{{cite journal | doi=10.1038/s41559-022-01885-x | title=Divergent evolutionary trajectories of bryophytes and tracheophytes from a complex common ancestor of land plants | year=2022 | last1=Harris | first1=Brogan J. | last2=Clark | first2=James W. | last3=Schrempf | first3=Dominik | last4=Szöllősi | first4=Gergely J. | last5=Donoghue | first5=Philip C. J. | last6=Hetherington | first6=Alistair M. | last7=Williams | first7=Tom A. | journal=Nature Ecology & Evolution | volume=6 | issue=11 | pages=1634–1643 | pmid=36175544 | pmc=9630106 | bibcode=2022NatEE...6.1634H }}</ref> and the last common ancestor of present-day hornworts lived in middle Permian about 275 million years ago.<ref>{{cite journal | doi=10.1038/s41477-019-0588-4 | title=The hornwort genome and early land plant evolution | year=2020 | last1=Zhang | first1=Jian | last2=Fu | first2=Xin-Xing | last3=Li | first3=Rui-Qi | last4=Zhao | first4=Xiang | last5=Liu | first5=Yang | last6=Li | first6=Ming-He | last7=Zwaenepoel | first7=Arthur | last8=Ma | first8=Hong | last9=Goffinet | first9=Bernard | last10=Guan | first10=Yan-Long | last11=Xue | first11=Jia-Yu | last12=Liao | first12=Yi-Ying | last13=Wang | first13=Qing-Feng | last14=Wang | first14=Qing-Hua | last15=Wang | first15=Jie-Yu | last16=Zhang | first16=Guo-Qiang | last17=Wang | first17=Zhi-Wen | last18=Jia | first18=Yu | last19=Wang | first19=Mei-Zhi | last20=Dong | first20=Shan-Shan | last21=Yang | first21=Jian-Fen | last22=Jiao | first22=Yuan-Nian | last23=Guo | first23=Ya-Long | last24=Kong | first24=Hong-Zhi | last25=Lu | first25=An-Ming | last26=Yang | first26=Huan-Ming | last27=Zhang | first27=Shou-Zhou | last28=Van De Peer | first28=Yves | last29=Liu | first29=Zhong-Jian | last30=Chen | first30=Zhi-Duan | journal=Nature Plants | volume=6 | issue=2 | pages=107–118 | pmid=32042158 | pmc=7027989 | bibcode=2020NatPl...6..107Z }}</ref> == Phylogeny == Recent studies of molecular, ultrastructural, and morphological data have yielded a new classification of hornworts.<ref name="Duff-2007">{{cite journal | last = Duff | first = R. Joel |author2=Juan Carlos Villarreal |author3=D. Christine Cargill |author4=Karen S. Renzaglia | year = 2007 | title = Progress and challenges toward a phylogeny and classification of the hornworts | journal = The Bryologist | volume=110 | issue=2 | pages=214–243 | doi = 10.1639/0007-2745(2007)110[214:PACTDA]2.0.CO;2 | s2cid = 85582943 }}</ref><ref>{{cite web |title=Bryophyte phylogeny poster: systematics and Characteristics of Nonvascular Land Plants (Mosses, Liverworts, Hornworts) |last1=Cole |first1=Theodor C. H. |last2=Hilger |first2=Hartmut H. |last3=Goffinet |first3=Bernard |url=https://www.researchgate.net/publication/257240194 |version=2021 |access-date=6 December 2022}}</ref> Here's a visual graph of relationships: {{clade| style=font-size:100%;line-height:100% |1={{clade |label1=Leiosporocerotopsida |1={{clade |label1=Leiosporocerotales |1={{clade |label1=Leiosporocerotaceae |1=''Leiosporoceros'' }} }} |label2='''Anthocerotopsida''' |2={{clade |1={{clade |label1=Anthocerotales |1={{clade |label1=Anthocerotaceae |1={{clade |1=''Folioceros'' |2={{clade |1=''Sphaerosporoceros'' |2=''Anthoceros'' }} }} }} }} |2={{clade |1={{clade |label1=Notothyladales |1={{clade |label1=Notothyladaceae |1={{clade |1=''Notothylas'' |2=''Phaeoceros'' }} }} }} |2={{clade |label1=Phymatocerotales |sublabel1=Phymatocerotaceae |1={{clade |1=''Phymatoceros'' }} |label2=Dendrocerotales |sublabel2=Dendrocerotaceae |2={{clade |label1=Phaeomegacerotoideae |1=''Phaeomegaceros'' |label2=Dendrocerotoideae |2={{clade |1=''Nothoceros'' |2={{clade |1=''Megaceros'' |2=''Dendroceros'' }} }} }} }} }} }} }} }} |-style="font-size:90%;" | colspan=2 | The current phylogeny and composition of the Anthocerotophyta.<ref name="Duff-2007" /><ref name="Villareal-2010">{{cite journal | last=Villareal | first=J. C. |author2=Cargill, D. C. |author3=Hagborg, A. |author4=Söderström, L. |author5= Renzaglia, K. S. | year=2010 | title=A synthesis of hornwort diversity: Patterns, causes and future work | journal=Phytotaxa | volume=9 | pages=150–166 | url=https://mapress.com/phytotaxa/content/2010/f/pt00009p166.pdf | doi=10.11646/phytotaxa.9.1.8 | doi-access=free }}</ref><ref>{{cite journal |last1=Peñaloza-Bojacá |first1=Gabriel Felipe |last2=Villarreal-Aguilar |first2=Juan Carlos |last3=Maciel-Silva |first3=Adaíses Simone |title=Phylogenetic and morphological infrageneric classification of the genus Dendroceros (Dendrocerotaceae; Anthocerotophyta), with the addition of two new subgenera |year=2019 |journal=Systematics and Biodiversity |volume=17 |issue=7 |pages=712–727 |doi=10.1080/14772000.2019.1682080|bibcode=2019SyBio..17..712P |s2cid=209591279 }}</ref><ref>{{cite web |title=The Bryophyte Nomenclator |last1=Brinda |first1=John C. |last2=Atwood |first2=John J. |url=https://www.bryonames.org |version=7 December 2022 |access-date=7 December 2022}}</ref> |}{{Clear}} ===Families (9)=== '''A''' - Anthocerotaceae '''B''' '''C''' - Ceratophyllaceae '''D''' - Dendrocerotaceae '''E''' '''F''' '''G''' '''H''' '''I''' '''J''' '''K''' '''L''' '''M''' '''N''' - Notothyladaceae '''O''' P - Phaeomegacerotoideae - Phymatocerotaceae '''Q''' '''R''' '''S''' '''T''' '''U''' '''V''' '''W''' '''X''' '''Y''' '''Z''' ==References== [[Category:Plants]] [[Category:Taxonomy]] [[Category:Botany]] [[Category:Biology]] ao1di6qt5umbfckrybvrss4guni13rp 3 250786 2844208 2842691 2026-11-03T14:23:20Z MediaWiki message delivery 983498 /* Tech News: 2026-45 */ new section 2844208 wikitext text/x-wiki == First Message Posting == Update Talk on Wikiversity [[User:Bnhassin|Bnhassin]] ([[User talk:Bnhassin|discuss]] • [[Special:Contributions/Bnhassin|contribs]]) 21:04, 29 June 2019 (UTC) == Update Sandbox User == == Posting to sandbox == Update Sandbox on Wikiversity [[User:Bnhassin/sandbox]] ([[User talk:Bnhassin|discuss]] • [[Special:Contributions/Bnhassin|contribs]])[[User:Bnhassin|Bnhassin]] ([[User talk:Bnhassin|discuss]] • [[Special:Contributions/Bnhassin|contribs]]) 11:04, 25 October 2020 (UTC) == [[m:Special:MyLanguage/Tech/News/2020/50|Tech News: 2020-50]] == <section begin="technews-2020-W50"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2020/50|Translations]] are available. '''Recent changes''' * You can now put pages on your watchlist for a limited period of time. Some wikis already had this function. [https://meta.wikimedia.org/wiki/Community_Tech/Watchlist_Expiry][https://www.mediawiki.org/wiki/Help:Watchlist_expiry] '''Changes later this week''' * Information from Wikidata that is used on a wiki page can be shown in recent changes and watchlists on a Wikimedia wiki. To see this you need to turn on showing Wikidata edits in your watchlist in the preferences. Changes to the Wikidata description in the language of a Wikimedia wiki will then be shown in recent changes and watchlists. This will not show edits to languages that are not relevant to your wiki. [https://lists.wikimedia.org/pipermail/wikidata/2020-November/014402.html][https://phabricator.wikimedia.org/T191831] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.21|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2020-12-08|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2020-12-09|en}}. It will be on all wikis from {{#time:j xg|2020-12-10|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''Future changes''' * You can vote on proposals in the [[m:Special:MyLanguage/Community Wishlist Survey 2021|Community Wishlist Survey]] between 8 December and 21 December. The survey decides what the [[m:Community Tech|Community Tech team]] will work on. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2020/50|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2020-W50"/> 16:15, 7 December 2020 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=20754641 --> == [[m:Special:MyLanguage/Tech/News/2020/51|Tech News: 2020-51]] == <section begin="technews-2020-W51"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2020/51|Translations]] are available. '''Recent changes''' * There is a [[mw:Wikipedia for KaiOS|Wikipedia app]] for [[:w:en:KaiOS|KaiOS]] phones. It was released in India in September. It can now be downloaded in other countries too. [https://diff.wikimedia.org/2020/12/10/growing-wikipedias-reach-with-an-app-for-kaios-feature-phones/] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.22|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2020-12-15|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2020-12-16|en}}. It will be on all wikis from {{#time:j xg|2020-12-17|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2020/51|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2020-W51"/> 21:34, 14 December 2020 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=20803489 --> == [[m:Special:MyLanguage/Tech/News/2020/52|Tech News: 2020-52]] == <section begin="technews-2020-W52"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2020/52|Translations]] are available. '''Tech News''' * Because of the [[w:en:Christmas and holiday season|holidays]] the next issue of Tech News will be sent out on 11 January 2021. '''Recent changes''' * The <code><nowiki>{{citation needed}}</nowiki></code> template shows when a statement in a Wikipedia article needs a source. If you click on it when you edit with the visual editor there is a popup that explains this. Now it can also show the reason and when it was added. [https://phabricator.wikimedia.org/T270107] '''Changes later this week''' * There is no new MediaWiki version this week or next week. '''Future changes''' * You can [[m:WMDE Technical Wishes/Geoinformation/Ideas|propose and discuss]] what technical improvements should be done for geographic information. This could be coordinates, maps or other related things. * Some wikis use [[mw:Writing systems/LanguageConverter|LanguageConverter]] to switch between writing systems or variants of a language. This can only be done for the entire page. There will be a <code><nowiki><langconvert></nowiki></code> tag that can convert a piece of text on a page. [https://phabricator.wikimedia.org/T263082] * Oversighters and stewards can hide entries in [[Special:AbuseLog|Special:AbuseLog]]. They can soon hide multiple entries at once using checkboxes. This works like hiding normal edits. It will happen in early January. [https://phabricator.wikimedia.org/T260904] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2020/52|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2020-W52"/> 20:54, 21 December 2020 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=20833836 --> == [[m:Special:MyLanguage/Tech/News/2021/02|Tech News: 2021-02]] == <section begin="technews-2021-W02"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/02|Translations]] are available. '''Recent changes''' * You can choose to be reminded when you have not added an edit summary. This can be done in your preferences. This could conflict with the [[:w:en:CAPTCHA|CAPTCHA]]. This has now been fixed. [https://phabricator.wikimedia.org/T12729] * You can link to specific log entries. You can get these links for example by clicking the timestamps in the log. Until now, such links to private log entries showed no entry even if you had permission to view private log entries. The links now show the entry. [https://phabricator.wikimedia.org/T269761] * Admins can use the [[:mw:Special:MyLanguage/Extension:AbuseFilter|abuse filter tool]] to automatically prevent bad edits. Three changes happened last week: ** The filter editing interface now shows syntax errors while you type. This is similar to JavaScript pages. It also shows a warning for regular expressions that match the empty string. New warnings will be added later. [https://phabricator.wikimedia.org/T187686] ** [[m:Special:MyLanguage/Meta:Oversighters|Oversighters]] can now hide multiple filter log entries at once using checkboxes on [[Special:AbuseLog]]. This is how the usual revision deletion works. [https://phabricator.wikimedia.org/T260904] ** When a filter matches too many actions after it has been changed it is "throttled". The most powerful actions are disabled. This is to avoid many editors getting blocked when an administrator made a mistake. The administrator will now get a notification about this "throttle". * [[File:Octicons-tools.svg|15px|link=|Advanced item]] There is a new tool to [https://skins.wmflabs.org/?#/add build new skins]. You can also [https://skins.wmflabs.org/?#/ see] existing [[mw:Special:MyLanguage/Manual:Skins|skins]]. You can [[mw:User talk:Jdlrobson|give feedback]]. [https://lists.wikimedia.org/pipermail/wikitech-l/2020-December/094130.html] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Bots using the API no longer watch pages automatically based on account preferences. Setting the <code>watchlist</code> to <code>watch</code> will still work. This is to reduce the size of the watchlist data in the database. [https://phabricator.wikimedia.org/T258108] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] [[mw:Special:MyLanguage/Extension:Scribunto|Scribunto's]] [[:mw:Extension:Scribunto/Lua reference manual#File metadata|file metadata]] now includes length. [https://phabricator.wikimedia.org/T209679] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] [[:w:en:CSS|CSS]] and [[:w:en:JavaScript|JavaScript]] code pages now have link anchors to [https://patchdemo.wmflabs.org/wikis/40e4795d4448b55a6d8c46ff414bcf78/w/index.php/MediaWiki:En.js#L-125 line numbers]. You can use wikilinks like [[:w:en:MediaWiki:Common.js#L-50]]. [https://phabricator.wikimedia.org/T29531] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] There was a [[mw:MediaWiki 1.36/wmf.25|new version]] of MediaWiki last week. You can read [[mw:MediaWiki 1.36/wmf.25/Changelog|a detailed log]] of all 763 changes. Most of them are very small and will not affect you. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.26|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-01-12|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-01-13|en}}. It will be on all wikis from {{#time:j xg|2021-01-14|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/02|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W02"/> 15:42, 11 January 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=20950047 --> == [[m:Special:MyLanguage/Tech/News/2021/03|Tech News: 2021-03]] == <section begin="technews-2021-W03"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/03|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.27|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-01-19|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-01-20|en}}. It will be on all wikis from {{#time:j xg|2021-01-21|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''Future changes''' * The [[mw:Special:MyLanguage/Growth|Growth team]] plans to add features to [[mw:Special:MyLanguage/Growth/Personalized first day/Newcomer tasks/Experiment analysis, November 2020|get more visitors to edit]] to more Wikipedias. You can help [https://translatewiki.net/w/i.php?title=Special:Translate&group=ext-growthexperiments&language=&filter=&action=translate translating the interface]. * You will be able to read but not to edit Wikimedia Commons for a short time on [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210126T07 {{#time:j xg|2021-01-26|en}} at 07:00 (UTC)]. [https://phabricator.wikimedia.org/T271791] * [[m:Special:MyLanguage/MassMessage|MassMessage]] posts could be automatically timestamped in the future. This is because MassMessage senders can now send pages using MassMessage. Pages are more difficult to sign. If there are times when a MassMessage post should not be timestamped you can [[phab:T270435|let the developers know]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/03|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W03"/> 16:10, 18 January 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=20974628 --> == [[m:Special:MyLanguage/Tech/News/2021/04|Tech News: 2021-04]] == <section begin="technews-2021-W04"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/04|Translations]] are available. '''Problems''' * You will be able to read but not to edit Wikimedia Commons for a short time on [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210126T07 {{#time:j xg|2021-01-26|en}} at 07:00 (UTC)]. You will not be able to read or edit [[:wikitech:Main Page|Wikitech]] for a short time on [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210128T09 {{#time:j xg|2021-01-28|en}} at 09:00 (UTC)]. [https://phabricator.wikimedia.org/T271791][https://phabricator.wikimedia.org/T272388] '''Changes later this week''' * [[m:WMDE Technical Wishes/Bracket Matching|Bracket matching]] will be added to the [[mw:Special:MyLanguage/Extension:CodeMirror|CodeMirror]] syntax highlighter on the first wikis. The first wikis are German and Catalan Wikipedia and maybe other Wikimedia wikis. This will happen on 27 January. [https://phabricator.wikimedia.org/T270238] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.28|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-01-26|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-01-27|en}}. It will be on all wikis from {{#time:j xg|2021-01-28|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/04|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W04"/> 18:31, 25 January 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21007423 --> == [[m:Special:MyLanguage/Tech/News/2021/05|Tech News: 2021-05]] == <section begin="technews-2021-W05"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/05|Translations]] are available. '''Problems''' * [[:w:en:IPv6|IPv6 addresses]] were written in lowercase letters in diffs. This caused dead links since [[Special:Contributions|Special:Contributions]] only accepted uppercase letters for the IPs. This has been fixed. [https://phabricator.wikimedia.org/T272225] '''Changes later this week''' * You can soon use Wikidata to link to pages on the multilingual Wikisource. [https://phabricator.wikimedia.org/T138332] * Often editors use a "non-breaking space" to make a gap between two items when reading but still show them together. This can be used to avoid a line break. You will now be able to add new ones via the special character tool in the 2010, 2017, and visual editors. The character will be shown in the visual editor as a space with a grey background. [https://phabricator.wikimedia.org/T70429][https://phabricator.wikimedia.org/T96666] * [[File:Octicons-tools.svg|15px|link=| Advanced item]] Wikis use [[mw:Special:MyLanguage/Extension:AbuseFilter|abuse filters]] to stop bad edits being made. Filter maintainers can now use syntax like <code>1.2.3.4 - 1.2.3.55</code> as well as the <code>1.2.3.4/27</code> syntax for IP ranges. [https://phabricator.wikimedia.org/T218074] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.29|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-02-02|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-02-03|en}}. It will be on all wikis from {{#time:j xg|2021-02-04|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''Future changes''' * [[mw:Skin:Minerva Neue|Minerva]] is the skin Wikimedia wikis use for mobile traffic. When a page is protected and you can't edit it you can normally read the source wikicode. This doesn't work on Minerva on mobile devices. This is being fixed. Some text might overlap. This is because your community needs to update [[MediaWiki:Protectedpagetext|MediaWiki:Protectedpagetext]] to work on mobile. You can [[phab:T208827|read more]]. [https://www.mediawiki.org/wiki/Recommendations_for_mobile_friendly_articles_on_Wikimedia_wikis#Inline_styles_should_not_use_properties_that_impact_sizing_and_positioning][https://www.mediawiki.org/wiki/Recommendations_for_mobile_friendly_articles_on_Wikimedia_wikis#Avoid_tables_for_anything_except_data] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] [[:wikitech:Portal:Cloud VPS|Cloud VPS]] and [[:wikitech:Portal:Toolforge|Toolforge]] will change the IP address they use to contact the wikis. The new IP address will be <code>185.15.56.1</code>. This will happen on February 8. You can [[:wikitech:News/CloudVPS NAT wikis|read more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/05|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W05"/> 22:38, 1 February 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21033195 --> == [[m:Special:MyLanguage/Tech/News/2021/06|Tech News: 2021-06]] == <section begin="technews-2021-W06"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/06|Translations]] are available. '''Recent changes''' * The [[mw:Special:MyLanguage/Wikimedia Apps|Wikipedia app]] for Android now has watchlists and talk pages in the app. [https://play.google.com/store/apps/details?id=org.wikipedia] '''Changes later this week''' * You can see edits to chosen pages on [[Special:Watchlist|Special:Watchlist]]. You can add pages to your watchlist on every wiki you like. The [[:mw:Special:MyLanguage/Extension:GlobalWatchlist|GlobalWatchlist]] extension will come to Meta on 11 February. There you can see entries on watched pages on different wikis on the same page. The new watchlist will be found on [[m:Special:GlobalWatchlist|Special:GlobalWatchlist]] on Meta. You can choose which wikis to watch and other preferences on [[m:Special:GlobalWatchlistSettings|Special:GlobalWatchlistSettings]] on Meta. You can watch up to five wikis. [https://phabricator.wikimedia.org/T260862] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.30|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-02-09|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-02-10|en}}. It will be on all wikis from {{#time:j xg|2021-02-11|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''Future changes''' * When admins [[mw:Special:MyLanguage/Help:Protecting and unprotecting pages|protect]] pages the form will use the [[mw:UX standardization|OOUI look]]. [[Special:Import|Special:Import]] will also get the new look. This will make them easier to use on mobile phones. [https://phabricator.wikimedia.org/T235424][https://phabricator.wikimedia.org/T108792] * Some services will not work for a short period of time from 07:00 UTC on 17 February. There might be problems with new [[m:Special:MyLanguage/Wikimedia URL Shortener|short links]], new translations, new notifications, adding new items to your [[mw:Reading/Reading Lists|reading lists]] or recording [[:w:en:Email#Tracking of sent mail|email bounces]]. This is because of database maintenance. [https://phabricator.wikimedia.org/T273758] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] [[m:Tech/News/2021/05|Last week]] Tech News reported that the IP address [[:wikitech:Portal:Cloud VPS|Cloud VPS]] and [[:wikitech:Portal:Toolforge|Toolforge]] use to contact the wikis will change on 8 February. This is delayed. It will happen later instead. [https://wikitech.wikimedia.org/wiki/News/CloudVPS_NAT_wikis] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/06|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W06"/> 17:42, 8 February 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21082948 --> == [[m:Special:MyLanguage/Tech/News/2021/07|Tech News: 2021-07]] == <section begin="technews-2021-W07"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/07|Translations]] are available. '''Problems''' * There were problems with recent versions of MediaWiki. Because the updates caused problems the developers rolled back to an earlier version. Some updates and new functions will come later than planned. [https://lists.wikimedia.org/pipermail/wikitech-l/2021-February/094255.html][https://lists.wikimedia.org/pipermail/wikitech-l/2021-February/094271.html] * Some services will not work for a short period of time from 07:00 UTC on 17 February. There might be problems with new [[m:Special:MyLanguage/Wikimedia URL Shortener|short links]], new translations, new notifications, adding new items to your [[mw:Reading/Reading Lists|reading lists]] or recording [[:w:en:Email#Tracking of sent mail|email bounces]]. This is because of database maintenance. [https://phabricator.wikimedia.org/T273758] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.31|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-02-16|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-02-17|en}}. It will be on all wikis from {{#time:j xg|2021-02-18|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/07|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W07"/> 17:56, 15 February 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21105437 --> == [[m:Special:MyLanguage/Tech/News/2021/08|Tech News: 2021-08]] == <div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/08|Translations]] are available. '''Recent changes''' * The visual editor will now use [[:c:Commons:Structured data/Media search|MediaSearch]] to find images. You can search for images on Commons in the visual editor when you are looking for illustrations. This is to help editors find better images. [https://phabricator.wikimedia.org/T259896] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The [[mw:Special:MyLanguage/Extension:SyntaxHighlight|syntax highlighter]] now works with more languages: [[:w:en:Futhark (programming language)|Futhark]], [[:w:en:Graphviz|Graphviz]]/[[:w:en:DOT (graph description language)|DOT]], CDDL and AMDGPU. [https://phabricator.wikimedia.org/T274741] '''Problems''' * Editing a [[mw:Special:MyLanguage/Extension:EasyTimeline|timeline]] might have removed all text from it. This was because of a bug and has been fixed. You might need to edit the timeline again for it to show properly. [https://phabricator.wikimedia.org/T274822] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.32|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-02-23|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-02-24|en}}. It will be on all wikis from {{#time:j xg|2021-02-25|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] There is a [[:m:Wikimedia Rust developers user group|user group]] for developers and users interested in working on Wikimedia wikis with the [[:w:en:Rust (programming language)|Rust programming language]]. You can join or tell others who want to make your wiki better in the future. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/08|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div> ---- 00:17, 23 February 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21134058 --> == [[m:Special:MyLanguage/Tech/News/2021/09|Tech News: 2021-09]] == <div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/09|Translations]] are available. '''Recent changes''' * Wikis using the [[mw:Special:MyLanguage/Growth/Feature summary|Growth team tools]] can now show the name of a newcomer's mentor anywhere [[mw:Special:MyLanguage/Help:Growth/Mentorship/Integrating_mentorship|through a magic word]]. This can be used for welcome messages or userboxes. * A new version of the [[c:Special:MyLanguage/Commons:VideoCutTool|VideoCutTool]] is now available. It enables cropping, trimming, audio disabling, and rotating video content. It is being created as part of the developer outreach programs. '''Problems''' * There was a problem with the [[mw:Special:MyLanguage/Manual:Job queue|job queue]]. This meant some functions did not save changes and mass messages were delayed. This did not affect wiki edits. [https://phabricator.wikimedia.org/T275437] * Some editors may not be logged in to their accounts automatically in the latest versions of Firefox and Safari. [https://phabricator.wikimedia.org/T226797] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.33|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-03-02|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-03-03|en}}. It will be on all wikis from {{#time:j xg|2021-03-04|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/09|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div> ---- 19:08, 1 March 2021 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21161722 --> == [[m:Special:MyLanguage/Tech/News/2021/10|Tech News: 2021-10]] == <section begin="technews-2021-W10"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/10|Translations]] are available. '''Recent changes''' * [[mw:Special:MyLanguage/Content translation/Section translation|Section translation]] now works on Bengali Wikipedia. It helps mobile editors translate sections of articles. It will come to more wikis later. The first focus is active wikis with a smaller number of articles. You can [https://sx.wmflabs.org/index.php/Main_Page test it] and [[mw:Talk:Content translation/Section translation|leave feedback]]. * [[mw:Special:MyLanguage/Help:Extension:FlaggedRevs|Flagged revisions]] now give admins the review right. [https://phabricator.wikimedia.org/T275293] * When someone links to a Wikipedia article on Twitter this will now show a preview of the article. [https://phabricator.wikimedia.org/T276185] '''Problems''' * Many graphs have [[:w:en:JavaScript|JavaScript]] errors. Graph editors can check their graphs in their browser's developer console after editing. [https://phabricator.wikimedia.org/T275833] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.34|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-03-09|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-03-10|en}}. It will be on all wikis from {{#time:j xg|2021-03-11|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). * The [[mw:Talk pages project/New discussion|New Discussion]] tool will soon be a new [[mw:Special:MyLanguage/Extension:DiscussionTools|discussion tools]] beta feature for on most Wikipedias. The goal is to make it easier to start new discussions. [https://phabricator.wikimedia.org/T275257] '''Future changes''' * There will be a number of changes to make it easier to work with templates. Some will come to the first wikis in March. Other changes will come to the first wikis in June. This is both for those who use templates and those who create or maintain them. You can [[:m:WMDE Technical Wishes/Templates|read more]]. * [[m:WMDE Technical Wishes/ReferencePreviews|Reference Previews]] will become a default feature on some wikis on 17 March. They will share a setting with [[mw:Page Previews|Page Previews]]. If you prefer the Reference Tooltips or Navigation-Popups gadget you can keep using them. If so Reference Previews won't be shown. [https://phabricator.wikimedia.org/T271206][https://meta.wikimedia.org/wiki/Talk:WMDE_Technical_Wishes/ReferencePreviews] * New JavaScript-based functions will not work in [[:w:en:Internet Explorer 11|Internet Explorer 11]]. This is because Internet Explorer is an old browser that doesn't work with how JavaScript is written today. Everything that works in Internet Explorer 11 today will continue working in Internet Explorer for now. You can [[mw:Compatibility/IE11|read more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/10|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W10"/> 17:51, 8 March 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21175593 --> == [[m:Special:MyLanguage/Tech/News/2021/11|Tech News: 2021-11]] == <section begin="technews-2021-W11"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/11|Translations]] are available. '''Recent changes''' * Wikis that are part of the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|desktop improvements]] project can now use a new [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Features/Search|search function]]. The desktop improvements and the new search will come to more wikis later. You can also [[mw:Reading/Web/Desktop Improvements#Deployment plan and timeline|test it early]]. * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Editors who put up banners or change site-wide [[:w:en:JavaScript|JavaScript]] code should use the [https://grafana.wikimedia.org/d/000000566/overview?viewPanel=16&orgId=1 client error graph] to see that their changes has not caused problems. You can [https://diff.wikimedia.org/2021/03/08/sailing-steady%e2%80%8a-%e2%80%8ahow-you-can-help-keep-wikimedia-sites-error-free read more]. [https://phabricator.wikimedia.org/T276296] '''Problems''' * Due to [[phab:T276968|database issues]] the [https://meta.wikimedia.beta.wmflabs.org Wikimedia Beta Cluster] was read-only for over a day. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.34|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-03-16|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-03-17|en}}. It will be on all wikis from {{#time:j xg|2021-03-18|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''Future changes''' * You can add a [[:w:en:Newline|newline]] or [[:w:en:Carriage return|carriage return]] character to a custom signature if you use a template. There is a proposal to not allow them in the future. This is because they can cause formatting problems. [https://www.mediawiki.org/wiki/New_requirements_for_user_signatures#Additional_proposal_(2021)][https://phabricator.wikimedia.org/T272322] * You will be able to read but not edit [[phab:T276899|12 wikis]] for a short period of time on [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210323T06 {{#time:j xg|2021-03-23|en}} at 06:00 (UTC)]. This could take 30 minutes but will probably be much faster. * [[File:Octicons-tools.svg|15px|link=|Advanced item]] You can use [https://quarry.wmflabs.org/ Quarry] for [[:w:en:SQL|SQL]] queries to the [[wikitech:Wiki replicas|Wiki Replicas]]. Cross-database <code>JOINS</code> will no longer work from 23 March. There will be a new field to specify the database to connect to. If you think this affects you and you need help you can [[phab:T268498|post on Phabricator]] or on [[wikitech:Talk:News/Wiki Replicas 2020 Redesign|Wikitech]]. [https://wikitech.wikimedia.org/wiki/PAWS PAWS] and other ways to do [[:w:en:SQL|SQL]] queries to the Wiki Replicas will be affected later. [https://wikitech.wikimedia.org/wiki/News/Wiki_Replicas_2020_Redesign] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/11|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W11"/> 23:22, 15 March 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21226057 --> == [[m:Special:MyLanguage/Tech/News/2021/12|Tech News: 2021-12]] == <section begin="technews-2021-W12"/><div class="plainlinks mw-content-ltr" lang="en" dir="ltr"><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/12|Translations]] are available. '''Recent changes''' * There is a [[mw:Wikipedia for KaiOS|Wikipedia app]] for [[:w:en:KaiOS|KaiOS]] phones. They don't have a touch screen so readers navigate with the phone keys. There is now a [https://wikimedia.github.io/wikipedia-kaios/sim.html simulator] so you can see what it looks like. * The [[mw:Special:MyLanguage/Talk pages project/Replying|reply tool]] and [[mw:Special:MyLanguage/Talk pages project/New discussion|new discussion tool]] are now available as the "{{int:discussiontools-preference-label}}" [[Special:Preferences#mw-prefsection-betafeatures|beta feature]] in almost all wikis except German Wikipedia. '''Problems''' * You will be able to read but not edit [[phab:T276899|twelve wikis]] for a short period of time on [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210323T06 {{#time:j xg|2021-03-23|{{PAGELANGUAGE}}}} at 06:00 (UTC)]. This can also affect password changes, logging in to new wikis, global renames and changing or confirming emails. This could take 30 minutes but will probably be much faster. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.36|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-03-23|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-03-24|en}}. It will be on all wikis from {{#time:j xg|2021-03-25|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). * [[:w:en:Syntax highlighting|Syntax highlighting]] colours will change to be easier to read. This will soon come to the [[phab:T276346|first wikis]]. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Improved_Color_Scheme_of_Syntax_Highlighting] '''Future changes''' * [[mw:Special:MyLanguage/Extension:FlaggedRevs|Flagged revisions]] will no longer have multiple tags like "tone" or "depth". It will also only have one tier. This was changed because very few wikis used these features and they make the tool difficult to maintain. [https://phabricator.wikimedia.org/T185664][https://phabricator.wikimedia.org/T277883] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Gadgets and user scripts can access variables about the current page in JavaScript. In 2015 this was moved from <code dir=ltr>wg*</code> to <code dir=ltr>mw.config</code>. <code dir=ltr>wg*</code> will soon no longer work. [https://phabricator.wikimedia.org/T72470] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]] • [[m:Special:MyLanguage/Tech/News#contribute|Contribute]] • [[m:Special:MyLanguage/Tech/News/2021/12|Translate]] • [[m:Tech|Get help]] • [[m:Talk:Tech/News|Give feedback]] • [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div></div> <section end="technews-2021-W12"/> 16:53, 22 March 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21244806 --> == [[m:Special:MyLanguage/Tech/News/2021/13|Tech News: 2021-13]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/13|Translations]] are available. '''Recent changes''' * Some very old [[:w:en:Web browser|web browsers]] [[:mw:Special:MyLanguage/Compatibility|don’t work]] well with the Wikimedia wikis. Some old code for browsers that used to be supported is being removed. This could cause issues in those browsers. [https://phabricator.wikimedia.org/T277803] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] [[:m:IRC/Channels#Raw_feeds|IRC recent changes feeds]] have been moved to a new server. Make sure all tools automatically reconnect to <code>irc.wikimedia.org</code> and not to the name of any specific server. Users should also consider switching to the more modern [[:wikitech:Event Platform/EventStreams|EventStreams]]. [https://phabricator.wikimedia.org/T224579] '''Problems''' * When you move a page that many editors have on their watchlist the history can be split. It might also not be possible to move it again for a while. This is because of a [[:w:en:Job queue|job queue]] problem. [https://phabricator.wikimedia.org/T278350] * Some translatable pages on Meta could not be edited. This was because of a bug in the translation tool. The new MediaWiki version was delayed because of problems like this. [https://phabricator.wikimedia.org/T278429][https://phabricator.wikimedia.org/T274940] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.37|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-03-30|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-03-31|en}}. It will be on all wikis from {{#time:j xg|2021-04-01|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/13|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 17:30, 29 March 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21267131 --> == [[m:Special:MyLanguage/Tech/News/2021/14|Tech News: 2021-14]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/14|Translations]] are available. '''Recent changes''' * Editors can collapse part of an article so you have to click on it to see it. When you click a link to a section inside collapsed content it will now expand to show the section. The browser will scroll down to the section. Previously such links didn't work unless you manually expanded the content first. [https://phabricator.wikimedia.org/T276741] '''Changes later this week''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The [[mw:Special:MyLanguage/Citoid|citoid]] [[:w:en:API|API]] will use for example <code>2010-12-XX</code> instead of <code>2010-12</code> for dates with a month but no days. This is because <code>2010-12</code> could be confused with <code>2010-2012</code> instead of <code>December 2010</code>. This is called level 1 instead of level 0 in the [https://www.loc.gov/standards/datetime/ Extended Date/Time Format]. [https://phabricator.wikimedia.org/T132308] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.36/wmf.38|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-04-06|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-04-07|en}}. It will be on all wikis from {{#time:j xg|2021-04-08|en}} ([[mw:MediaWiki 1.36/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] [[:wikitech:PAWS|PAWS]] can now connect to the new [[:wikitech:Wiki Replicas|Wiki Replicas]]. Cross-database <code>JOINS</code> will no longer work from 28 April. There is [[:wikitech:News/Wiki Replicas 2020 Redesign#How should I connect to databases in PAWS?|a new way to connect]] to the databases. Until 28 April both ways to connect to the databases will work. If you think this affects you and you need help you can post [[phab:T268498|on Phabricator]] or on [[wikitech:Talk:News/Wiki Replicas 2020 Redesign|Wikitech]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/14|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 19:41, 5 April 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21287348 --> == [[m:Special:MyLanguage/Tech/News/2021/16|Tech News: 2021-16]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/16|Translations]] are available. '''Recent changes''' * Email to the Wikimedia wikis are handled by groups of Wikimedia editors. These volunteer response teams now use [https://github.com/znuny/Znuny Znuny] instead of [[m:Special:MyLanguage/OTRS|OTRS]]. The functions and interface remain the same. The volunteer administrators will give more details about the next steps soon. [https://phabricator.wikimedia.org/T279303][https://phabricator.wikimedia.org/T275294] * If you use [[Mw:Special:MyLanguage/Extension:CodeMirror|syntax highlighting]], you can see line numbers in the 2010 and 2017 wikitext editors when editing templates. This is to make it easier to see line breaks or talk about specific lines. Line numbers will soon come to all namespaces. [https://phabricator.wikimedia.org/T267911][https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Line_Numbering][https://meta.wikimedia.org/wiki/Talk:WMDE_Technical_Wishes/Line_Numbering] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Because of a technical change there could be problems with gadgets and scripts that have an edit summary area that looks [https://phab.wmfusercontent.org/file/data/llvdqqnb5zpsfzylbqcg/PHID-FILE-25vs4qowibmtysl7cbml/Screen_Shot_2021-04-06_at_2.34.04_PM.png similar to this one]. If they look strange they should use <code>mw.loader.using('mediawiki.action.edit.styles')</code> to go back to how they looked before. [https://phabricator.wikimedia.org/T278898] * The [[mw:MediaWiki 1.37/wmf.1|latest version]] of MediaWiki came to the Wikimedia wikis last week. There was no Tech News issue last week. '''Changes later this week''' * There is no new MediaWiki version this week. '''Future changes''' * The user group <code>oversight</code> will be renamed <code>suppress</code>. This is for [[phab:T109327|technical reasons]]. This is the technical name. It doesn't affect what you call the editors with this user right on your wiki. This is planned to happen in two weeks. You can comment [[phab:T112147|in Phabricator]] if you have objections. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/16|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 16:48, 19 April 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21356080 --> == [[m:Special:MyLanguage/Tech/News/2021/17|Tech News: 2021-17]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/17|Translations]] are available. '''Recent changes''' * Templates have parameters that can have specific values. It is possible to suggest values for editors with [[mw:Special:MyLanguage/Extension:TemplateData|TemplateData]]. You can soon see them as a drop-down list in the visual editor. This is to help template users find the right values faster. [https://phabricator.wikimedia.org/T273857][https://meta.wikimedia.org/wiki/Special:MyLanguage/WMDE_Technical_Wishes/Suggested_values_for_template_parameters][https://meta.wikimedia.org/wiki/Talk:WMDE_Technical_Wishes/Suggested_values_for_template_parameters] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.3|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-04-27|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-04-28|en}}. It will be on all wikis from {{#time:j xg|2021-04-29|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/17|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 21:24, 26 April 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21391118 --> == [[m:Special:MyLanguage/Tech/News/2021/18|Tech News: 2021-18]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/18|Translations]] are available. '''Recent changes''' * [[w:en:Wikipedia:Twinkle|Twinkle]] is a gadget on English Wikipedia. It can help with maintenance and patrolling. It can [[m:Grants:Project/Rapid/SD0001/Twinkle localisation/Report|now be used on other wikis]]. You can get Twinkle on your wiki using the [https://github.com/wikimedia-gadgets/twinkle-starter twinkle-starter] GitHub repository. '''Problems''' * The [[mw:Special:MyLanguage/Content translation|content translation tool]] did not work for many articles for a little while. This was because of a bug. [https://phabricator.wikimedia.org/T281346] * Some things will not work for about a minute on 5 May. This will happen [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210505T0600 around 06:00 UTC]. This will affect the content translation tool and notifications among other things. This is because of an upgrade to avoid crashes. [https://phabricator.wikimedia.org/T281212] '''Changes later this week''' * [[mw:Special:MyLanguage/Help:Reference Previews|Reference Previews]] will become a default feature on a number of wikis on 5 May. This is later than planned because of some changes. You can use it without using [[mw:Special:MyLanguage/Page Previews|Page Previews]] if you want to. The earlier plan was to have the preference to use both or none. [https://phabricator.wikimedia.org/T271206][https://meta.wikimedia.org/wiki/Talk:WMDE_Technical_Wishes/ReferencePreviews] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.4|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-05-04|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-05-05|en}}. It will be on all wikis from {{#time:j xg|2021-05-06|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The [[:w:en:CSS|CSS]] classes <code dir=ltr>.error</code>, <code dir=ltr>.warning</code> and <code dir=ltr>.success</code> do not work for mobile readers if they have not been specifically defined on your wiki. From June they will not work for desktop readers. This can affect gadgets and templates. The classes can be defined in [[MediaWiki:Common.css]] or template styles instead. [https://phabricator.wikimedia.org/T280766] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/18|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 15:43, 3 May 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21418010 --> == [[m:Special:MyLanguage/Tech/News/2021/19|Tech News: 2021-19]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/19|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.5|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-05-11|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-05-12|en}}. It will be on all wikis from {{#time:j xg|2021-05-13|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * You can see what participants plan to work on at the online [[mw:Wikimedia Hackathon 2021|Wikimedia hackathon]] 22–23 May. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/19|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 15:10, 10 May 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21428676 --> == [[m:Special:MyLanguage/Tech/News/2021/20|Tech News: 2021-20]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/20|Translations]] are available. '''Recent changes''' * There is a new toolbar in [[mw:Talk pages project/Replying|the Reply tool]]. It works in the wikitext source mode. You can enable it in [[Special:Preferences#mw-htmlform-discussion|your preferences]]. [https://phabricator.wikimedia.org/T276608] [https://www.mediawiki.org/wiki/Talk_pages_project/Replying#13_May_2021] [https://www.mediawiki.org/wiki/Talk_pages_project/New_discussion#13_May_2021] * Wikimedia [https://lists.wikimedia.org/mailman/listinfo mailing lists] are being moved to [[:w:en:GNU Mailman|Mailman 3]]. This is a newer version. For the [[:w:en:Character encoding|character encoding]] to work it will change from <code>[[:w:en:UTF-8|UTF-8]]</code> to <code>utf8mb3</code>. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/IEYQ2HS3LZF2P3DAYMNZYQDGHWPVMTPY/][https://phabricator.wikimedia.org/T282621] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] An [[m:Special:MyLanguage/Tech/News/2021/14|earlier issue]] of Tech News said that the [[mw:Special:MyLanguage/Citoid|citoid]] [[:w:en:API|API]] would handle dates with a month but no days in a new way. This has been reverted for now. There needs to be more discussion of how it affects different wikis first. [https://phabricator.wikimedia.org/T132308] '''Changes later this week''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] <code>MediaWiki:Pageimages-blacklist</code> will be renamed <code>MediaWiki:Pageimages-denylist</code>. The list can be copied to the new name. It will happen on 19 May for some wikis and 20 May for some wikis. Most wikis don't use it. It lists images that should never be used as thumbnails for articles. [https://phabricator.wikimedia.org/T282626] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.6|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-05-18|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-05-19|en}}. It will be on all wikis from {{#time:j xg|2021-05-20|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/20|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 13:49, 17 May 2021 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21464279 --> == [[m:Special:MyLanguage/Tech/News/2021/21|Tech News: 2021-21]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/21|Translations]] are available. '''Recent changes''' * The Wikimedia movement has been using [[:m:Special:MyLanguage/IRC|IRC]] on a network called [[:w:en:Freenode|Freenode]]. There have been changes around who is in control of the network. The [[m:Special:MyLanguage/IRC/Group_Contacts|Wikimedia IRC Group Contacts]] have [[m:Special:Diff/21476411|decided]] to move to the new [[:w:en:Libera Chat|Libera Chat]] network instead. This is not a formal decision for the movement to move all channels but most Wikimedia IRC channels will probably leave Freenode. There is a [[:m:IRC/Migrating_to_Libera_Chat|migration guide]] and ongoing Wikimedia [[m:Wikimedia Forum#Freenode (IRC)|discussions about this]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.7|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-05-25|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-05-26|en}}. It will be on all wikis from {{#time:j xg|2021-05-27|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/21|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 17:07, 24 May 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21477606 --> == [[m:Special:MyLanguage/Tech/News/2021/22|Tech News: 2021-22]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/22|Translations]] are available. '''Problems''' * There was an issue on the Vector skin with the text size of categories and notices under the page title. It was fixed last Monday. [https://phabricator.wikimedia.org/T283206] '''Changes later this week''' * There is no new MediaWiki version this week. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/22|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 17:05, 31 May 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21516076 --> == [[m:Special:MyLanguage/Tech/News/2021/23|Tech News: 2021-23]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/23|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.9|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-06-08|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-06-09|en}}. It will be on all wikis from {{#time:j xg|2021-06-10|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * The Wikimedia movement uses [[:mw:Special:MyLanguage/Phabricator|Phabricator]] for technical tasks. This is where we collect technical suggestions, bugs and what developers are working on. The company behind Phabricator will stop working on it. This will not change anything for the Wikimedia movement now. It could lead to changes in the future. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/message/YAXOD46INJLAODYYIJUVQWOZFIV54VUI/][https://admin.phacility.com/phame/post/view/11/phacility_is_winding_down_operations/][https://phabricator.wikimedia.org/T283980] * Searching on Wikipedia will find more results in some languages. This is mainly true for when those who search do not use the correct [[:w:en:Diacritic|diacritics]] because they are not seen as necessary in that language. For example searching for <code>Bedusz</code> doesn't find <code>Będusz</code> on German Wikipedia. The character <code>ę</code> isn't used in German so many would write <code>e</code> instead. This will work better in the future in some languages. [https://phabricator.wikimedia.org/T219550] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The [[:w:en:Cross-site request forgery|CSRF token parameters]] in the [[:mw:Special:MyLanguage/API:Main page|action API]] were changed in 2014. The old parameters from before 2014 will stop working soon. This can affect bots, gadgets and user scripts that still use the old parameters. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/IMP43BNCI32C524O5YCUWMQYP4WVBQ2B/][https://phabricator.wikimedia.org/T280806] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/23|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 20:02, 7 June 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21551759 --> == [[m:Special:MyLanguage/Tech/News/2021/24|Tech News: 2021-24]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/24|Translations]] are available. '''Recent changes''' * Logged-in users on the mobile web can choose to use the [[:mw:Special:MyLanguage/Reading/Web/Advanced mobile contributions|advanced mobile mode]]. They now see categories in a similar way as users on desktop do. This means that some gadgets that have just been for desktop users could work for users of the mobile site too. If your wiki has such gadgets you could decide to turn them on for the mobile site too. Some gadgets probably need to be fixed to look good on mobile. [https://phabricator.wikimedia.org/T284763] * Language links on Wikidata now works for [[:oldwikisource:Main Page|multilingual Wikisource]]. [https://phabricator.wikimedia.org/T275958] '''Changes later this week''' * There is no new MediaWiki version this week. '''Future changes''' * In the future we [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation|can't show the IP]] of unregistered editors to everyone. This is because privacy regulations and norms have changed. There is now a rough draft of how [[m:IP Editing: Privacy Enhancement and Abuse Mitigation#Updates|showing the IP to those who need to see it]] could work. * German Wikipedia, English Wikivoyage and 29 smaller wikis will be read-only for a few minutes on 22 June. This is planned between 5:00 and 5:30 UTC. [https://phabricator.wikimedia.org/T284530] * All wikis will be read-only for a few minutes in the week of 28 June. More information will be published in Tech News later. It will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T281515][https://phabricator.wikimedia.org/T281209] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/24|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 20:26, 14 June 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21587625 --> == [[m:Special:MyLanguage/Tech/News/2021/25|Tech News: 2021-25]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/25|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The <code>otrs-member</code> group name is now <code>vrt-permissions</code>. This could affect abuse filters. [https://phabricator.wikimedia.org/T280615] '''Problems''' * You will be able to read but not edit German Wikipedia, English Wikivoyage and 29 smaller wikis for a few minutes on 22 June. This is planned between [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210623T0500 5:00 and 5:30 UTC]. [https://phabricator.wikimedia.org/T284530] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.11|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-06-22|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-06-23|en}}. It will be on all wikis from {{#time:j xg|2021-06-24|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/25|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 15:49, 21 June 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21593987 --> == [[m:Special:MyLanguage/Tech/News/2021/26|Tech News: 2021-26]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/26|Translations]] are available. '''Recent changes''' * Wikis with the [[mw:Special:MyLanguage/Growth|Growth features]] now can [[mw:Special:MyLanguage/Growth/Community configuration|configure Growth features directly on their wiki]]. This uses the new special page <code>Special:EditGrowthConfig</code>. [https://phabricator.wikimedia.org/T285423] * Wikisources have a new [[m:Special:MyLanguage/Community Tech/OCR Improvements|OCR tool]]. If you don't want to see the "extract text" button on Wikisource you can add <code>.ext-wikisource-ExtractTextWidget { display: none; }</code> to your [[Special:MyPage/common.css|common.css page]]. [https://phabricator.wikimedia.org/T285311] '''Problems''' *You will be able to read but not edit the Wikimedia wikis for a few minutes on 29 June. This is planned at [https://www.timeanddate.com/worldclock/fixedtime.html?iso=20210629T1400 14:00 UTC]. [https://phabricator.wikimedia.org/T281515][https://phabricator.wikimedia.org/T281209] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.12|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-06-29|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-06-30|en}}. It will be on all wikis from {{#time:j xg|2021-07-01|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * <code>Threshold for stub link formatting</code>, <code>thumbnail size</code> and <code>auto-number headings</code> can be set in preferences. They are expensive to maintain and few editors use them. The developers are planning to remove them. Removing them will make pages load faster. You can [[mw:Special:MyLanguage/User:SKim (WMF)/Performance Dependent User Preferences|read more and give feedback]]. * A toolbar will be added to the [[mw:Talk pages project/Replying|Reply tool]]'s wikitext source mode. This will make it easier to link to pages and to ping other users. [https://phabricator.wikimedia.org/T276609][https://www.mediawiki.org/wiki/Talk_pages_project/Replying#Status_updates] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/26|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 16:32, 28 June 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21653312 --> == [[m:Special:MyLanguage/Tech/News/2021/27|Tech News: 2021-27]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/27|Translations]] are available. '''Tech News''' * The next issue of Tech News will be sent out on 19 July. '''Recent changes''' * [[:wikidata:Q4063270|AutoWikiBrowser]] is a tool to make repetitive tasks easier. It now uses [[:w:en:JSON|JSON]]. <code>Wikipedia:AutoWikiBrowser/CheckPage</code> has moved to <code>Wikipedia:AutoWikiBrowser/CheckPageJSON</code> and <code>Wikipedia:AutoWikiBrowser/Config</code>. <code>Wikipedia:AutoWikiBrowser/CheckPage/Version</code> has moved to <code>Wikipedia:AutoWikiBrowser/CheckPage/VersionJSON</code>. The tool will eventually be configured on the wiki so that you don't have to wait until the new version to add templates or regular expression fixes. [https://phabricator.wikimedia.org/T241196] '''Problems''' * [[m:Special:MyLanguage/InternetArchiveBot|InternetArchiveBot]] helps saving online sources on some wikis. It adds them to [[:w:en:Wayback Machine|Wayback Machine]] and links to them there. This is so they don't disappear if the page that was linked to is removed. It currently has a problem with linking to the wrong date when it moves pages from <code>archive.is</code> to <code>web.archive.org</code>. [https://phabricator.wikimedia.org/T283432] '''Changes later this week''' * The tool to [[m:WMDE Technical Wishes/Finding and inserting templates|find, add and remove templates]] will be updated. This is to make it easier to find and use the right templates. It will come to the first wikis on 7 July. It will come to more wikis later this year. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Removing_a_template_from_a_page_using_the_VisualEditor][https://phabricator.wikimedia.org/T284553] * There is no new MediaWiki version this week. '''Future changes''' * Some Wikimedia wikis use [[m:Special:MyLanguage/Flagged Revisions|Flagged Revisions]] or pending changes. It hides edits from new and unregistered accounts for readers until they have been patrolled. The auto review action in Flagged Revisions will no longer be logged. All old logs of auto-review will be removed. This is because it creates a lot of logs that are not very useful. [https://phabricator.wikimedia.org/T285608] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/27|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 17:33, 5 July 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21694636 --> == [[m:Special:MyLanguage/Tech/News/2021/29|Tech News: 2021-29]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/29|Translations]] are available. '''Recent changes''' * The tool to [[m:WMDE Technical Wishes/Finding and inserting templates|find, add and remove templates]] was updated. This is to make it easier to find and use the right templates. It was supposed to come to the first wikis on 7 July. It was delayed to 12 July instead. It will come to more wikis later this year. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Removing_a_template_from_a_page_using_the_VisualEditor][https://phabricator.wikimedia.org/T284553] * [[Special:UnconnectedPages|Special:UnconnectedPages]] lists pages that are not connected to Wikidata. This helps you find pages that can be connected to Wikidata items. Some pages should not be connected to Wikidata. You can use the magic word <code><nowiki>__EXPECTED_UNCONNECTED_PAGE__</nowiki></code> on pages that should not be listed on the special page. [https://phabricator.wikimedia.org/T97577] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.15|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-07-20|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-07-21|en}}. It will be on all wikis from {{#time:j xg|2021-07-22|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] How media is structured in the [[:w:en:Parsing|parser's]] HTML output will soon change. This can affect bots, gadgets, user scripts and extensions. You can [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/L2UQJRHTFK5YG3IOZEC7JSLH2ZQNZRVU/ read more]. You can test it on [[:testwiki:Main Page|Testwiki]] or [[:test2wiki:Main Page|Testwiki 2]]. * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The parameters for how you obtain [[mw:API:Tokens|tokens]] in the MediaWiki API were changed in 2014. The old way will no longer work from 1 September. Scripts, bots and tools that use the parameters from before the 2014 change need to be updated. You can [[phab:T280806#7215377|read more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/29|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 15:31, 19 July 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21755027 --> == [[m:Special:MyLanguage/Tech/News/2021/30|Tech News: 2021-30]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/30|Translations]] are available. '''Recent changes''' * A [[mw:MediaWiki 1.37/wmf.14|new version]] of MediaWiki came to the Wikimedia wikis the week before last week. This was not in Tech News because there was no newsletter that week. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.16|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-07-27|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-07-28|en}}. It will be on all wikis from {{#time:j xg|2021-07-29|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * If you use the [[mw:Special:MyLanguage/Skin:MonoBook|Monobook skin]] you can choose to switch off [[:w:en:Responsive web design|responsive design]] on mobile. This will now work for more skins. If <code>{{int:monobook-responsive-label}}</code> is unticked you need to also untick the new [[Special:Preferences#mw-prefsection-rendering|preference]] <code>{{int:prefs-skin-responsive}}</code>. Otherwise it will stop working. Interface admins can automate this process on your wiki. You can [[phab:T285991|read more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/30|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 21:11, 26 July 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21771634 --> == [[m:Special:MyLanguage/Tech/News/2021/31|Tech News: 2021-31]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/31|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] If your wiki uses markup like <bdi lang="zxx" dir="ltr"><code><nowiki><div class="mw-content-ltr"></nowiki></code></bdi> or <bdi lang="zxx" dir="ltr"><code><nowiki><div class="mw-content-rtl"></nowiki></code></bdi> without the required <bdi lang="zxx" dir="ltr"><code>dir</code></bdi> attribute, then these will no longer work in 2 weeks. There is a short-term fix that can be added to your local wiki's Common.css page, which is explained at [[phab:T287701|T287701]]. From now on, all usages should include the full attributes, for example: <bdi lang="zxx" dir="ltr"><code><nowiki><div class="mw-content-ltr" dir="ltr" lang="en"></nowiki></code></bdi> or <bdi lang="zxx" dir="ltr"><code><nowiki><div class="mw-content-rtl" dir="rtl" lang="he"></nowiki></code></bdi>. This also applies to some other HTML tags, such as <code>span</code> or <code>code</code>. You can find existing examples on your wiki that need to be updated, using the instructions at [[phab:T287701|T287701]]. * Reminder: Wikimedia has [[m:Special:MyLanguage/IRC/Migrating to Libera Chat|migrated to the Libera Chat IRC network]], from the old Freenode network. Local documentation should be updated. '''Problems''' * Last week, all wikis had slow access or no access for 30 minutes. There was a problem with generating dynamic lists of articles on the Russian Wikinews, due to the bulk import of 200,000+ new articles over 3 days, which led to database problems. The problematic feature has been disabled on that wiki and developers are discussing if it can be fixed properly. [https://phabricator.wikimedia.org/T287380][https://wikitech.wikimedia.org/wiki/Incident_documentation/2021-07-26_ruwikinews_DynamicPageList] '''Changes later this week''' * When adding links to a page using [[mw:VisualEditor|VisualEditor]] or the [[mw:Special:MyLanguage/2017 wikitext editor|2017 wikitext editor]], [[mw:Special:MyLanguage/Extension:Disambiguator|disambiguation pages]] will now only appear at the bottom of search results. This is because users do not often want to link to disambiguation pages. [https://phabricator.wikimedia.org/T285510] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.17|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-08-03|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-08-04|en}}. It will be on all wikis from {{#time:j xg|2021-08-05|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * The [[mw:Wikimedia Apps/Team/Android|team of the Wikipedia app for Android]] is working on communication in the app. The developers are working on how to talk to other editors and get notifications. You can [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/Communication|read more]]. They are looking for users who want to [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/Communication/UsertestingJuly2021|test the plans]]. Any editor who has an Android phone and is willing to download the app can do this. * The [[Special:Preferences#mw-prefsection-betafeatures|Beta Feature]] for {{int:discussiontools-preference-label}} will be updated in the coming weeks. You will be able to [[mw:Talk pages project/Notifications|subscribe to individual sections]] on a talk page at more wikis. You can test this now by adding <code>?dtenable=1</code> to the end of the talk page's URL ([https://meta.wikimedia.org/wiki/Meta_talk:Sandbox?dtenable=1 example]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/31|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 20:47, 2 August 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21818289 --> == [[m:Special:MyLanguage/Tech/News/2021/32|Tech News: 2021-32]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/32|Translations]] are available. '''Problems''' * You can read but not edit 17 wikis for a few minutes on 10 August. This is planned at [https://zonestamp.toolforge.org/1628571650 05:00 UTC]. This is because of work on the database. [https://phabricator.wikimedia.org/T287449] '''Changes later this week''' * The [[wmania:Special:MyLanguage/2021:Hackathon|Wikimania Hackathon]] will take place remotely on 13 August, starting at 5:00 UTC, for 24 hours. You can participate in many ways. You can still propose projects and sessions. * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.18|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-08-10|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-08-11|en}}. It will be on all wikis from {{#time:j xg|2021-08-12|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The old CSS <bdi lang="zxx" dir="ltr"><code><nowiki><div class="visualClear"></div></nowiki></code></bdi> will not be supported after 12 August. Instead, templates and pages should use <bdi lang="zxx" dir="ltr"><code><nowiki><div style="clear:both;"></div></nowiki></code></bdi>. Please help to replace any existing uses on your wiki. There are global-search links available at [[phab:T287962|T287962]]. '''Future changes''' * [[m:Special:MyLanguage/The Wikipedia Library|The Wikipedia Library]] is a place for Wikipedia editors to get access to sources. There is an [[mw:Special:MyLanguage/Extension:TheWikipediaLibrary|extension]] which has a new function to tell users when they can take part in it. It will use notifications. It will start pinging the first users in September. It will ping more users later. [https://phabricator.wikimedia.org/T288070] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] [[w:en:Vue.js|Vue.js]] will be the [[w:en:JavaScript|JavaScript]] framework for MediaWiki in the future. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/SOZREBYR36PUNFZXMIUBVAIOQI4N7PDU/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/32|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 16:21, 9 August 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21856726 --> == [[m:Special:MyLanguage/Tech/News/2021/33|Tech News: 2021-33]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/33|Translations]] are available. '''Recent changes''' * You can add language links in the sidebar in the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|new Vector skin]] again. You do this by connecting the page to a Wikidata item. The new Vector skin has moved the language links but the new language selector cannot add language links yet. [https://phabricator.wikimedia.org/T287206] '''Problems''' * There was a problem on wikis which use the Translate extension. Translations were not updated or were replaced with the English text. The problems have been fixed. [https://phabricator.wikimedia.org/T288700][https://phabricator.wikimedia.org/T288683][https://phabricator.wikimedia.org/T288719] '''Changes later this week''' * A [[mw:Help:Tags|revision tag]] will soon be added to edits that add links to [[mw:Special:MyLanguage/Extension:Disambiguator|disambiguation pages]]. This is because these links are usually added by accident. The tag will allow editors to easily find the broken links and fix them. If your wiki does not like this feature, it can be [[mw:Help:Tags#Deleting a tag added by the software|hidden]]. [https://phabricator.wikimedia.org/T287549] *Would you like to help improve the information about tools? Would you like to attend or help organize a small virtual meetup for your community to discuss the list of tools? Please get in touch on the [[m:Toolhub/The Quality Signal Sessions|Toolhub Quality Signal Sessions]] talk page. We are also looking for feedback [[m:Talk:Toolhub/The Quality Signal Sessions#Discussion topic for "Quality Signal Sessions: The Tool Maintainers edition"|from tool maintainers]] on some specific questions. * In the past, edits to any page in your user talk space ignored your [[mw:Special:MyLanguage/Help:Notifications#mute|mute list]], e.g. sub-pages. Starting this week, this is only true for edits to your talk page. [https://phabricator.wikimedia.org/T288112] * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.19|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-08-17|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-08-18|en}}. It will be on all wikis from {{#time:j xg|2021-08-19|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/33|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 19:27, 16 August 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21889213 --> == [[m:Special:MyLanguage/Tech/News/2021/34|Tech News: 2021-34]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/34|Translations]] are available. '''Recent changes''' * The [[mw:Special:MyLanguage/Extension:Score|Score]] extension (<bdi lang="zxx" dir="ltr"><code><nowiki><score></nowiki></code></bdi> notation) has been re-enabled on public wikis and upgraded to a newer version. Some musical score functionality may no longer work because the extension is only enabled in "safe mode". The security issue has been fixed and an [[mw:Special:MyLanguage/Extension:Score/2021 security advisory|advisory published]]. '''Problems''' * You will be able to read but not edit [[phab:T289130|some wikis]] for a few minutes on {{#time:j xg|2021-08-25|en}}. This will happen around [https://zonestamp.toolforge.org/1629871217 06:00 UTC]. This is for database maintenance. During this time, operations on the CentralAuth will also not be possible. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.20|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-08-24|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-08-25|en}}. It will be on all wikis from {{#time:j xg|2021-08-26|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/34|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 21:58, 23 August 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21923254 --> == Read-only reminder == <section begin="MassMessage"/> A maintenance operation will be performed on [https://zonestamp.toolforge.org/1629871231 {{#time: l F d H:i e|2021-08-25T06:00|en}}]. It should only last for a few minutes. This will affect your wiki as well as 11 other wikis. During this time, publishing edits will not be possible. Also during this time, operations on the CentralAuth will not be possible (GlobalRenames, changing/confirming e-mail addresses, logging into new wikis, password changes). For more details about the operation and on all impacted services, please check [[phab:T289130|on Phabricator]]. A banner will be displayed 30 minutes before the operation. Please help your community to be aware of this maintenance operation. {{Int:Feedback-thanks-title}}<section end="MassMessage"/> 20:35, 24 August 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21927201 --> == [[m:Special:MyLanguage/Tech/News/2021/35|Tech News: 2021-35]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/35|Translations]] are available. '''Recent changes''' * Some musical score syntax no longer works and may needed to be updated, you can check [[:Category:{{MediaWiki:score-error-category}}]] on your wiki for a list of pages with errors. '''Problems''' * Musical scores were unable to render lyrics in some languages because of missing fonts. This has been fixed now. If your language would prefer a different font, please file a request in Phabricator. [https://phabricator.wikimedia.org/T289554] '''Changes later this week''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The parameters for how you obtain [[mw:API:Tokens|tokens]] in the MediaWiki API were changed in 2014. The old way will no longer work from 1 September. Scripts, bots and tools that use the parameters from before the 2014 change need to be updated. You can [[phab:T280806#7215377|read more]] about this. * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.21|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-08-31|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-09-01|en}}. It will be on all wikis from {{#time:j xg|2021-09-02|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). '''Future changes''' * You will be able to read but not edit [[phab:T289660|Commons]] for a few minutes on {{#time:j xg|2021-09-06|en}}. This will happen around [https://zonestamp.toolforge.org/1630818058 05:00 UTC]. This is for database maintenance. * All wikis will be read-only for a few minutes in the week of 13 September. More information will be published in Tech News later. It will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T287539] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/35|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 16:01, 30 August 2021 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21954810 --> == [[m:Special:MyLanguage/Tech/News/2021/36|Tech News: 2021-36]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/36|Translations]] are available. '''Recent changes''' * The wikis that have [[mw:Special:MyLanguage/Growth/Feature_summary|Growth features]] deployed have been part of A/B testing since deployment, in which some newcomers did not receive the new features. Now, all of the newcomers on 21 of the smallest of those wikis will be receiving the features. [https://phabricator.wikimedia.org/T289786] '''Changes later this week''' * There is no new MediaWiki version this week. '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] In 2017, the provided jQuery library was upgraded from version 1 to 3, with a compatibility layer. The migration will soon finish, to make the site load faster for everyone. If you maintain a gadget or user script, check if you have any JQMIGRATE errors and fix them, or they will break. [https://phabricator.wikimedia.org/T280944][https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/6Z2BVLOBBEC2QP4VV4KOOVQVE52P3HOP/] * Last year, the Portuguese Wikipedia community embarked on an experiment to make log-in compulsory for editing.  The [[m:IP Editing: Privacy Enhancement and Abuse Mitigation/Impact report for Login Required Experiment on Portuguese Wikipedia|impact report of this trial]] is ready. Moving forward, the Anti-Harassment Tools team is looking for projects that are willing to experiment with restricting IP editing on their wiki for a short-term experiment. [[m:IP Editing: Privacy Enhancement and Abuse Mitigation/Login Required Experiment|Learn more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/36|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 15:20, 6 September 2021 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=21981010 --> == [[m:Special:MyLanguage/Tech/News/2021/37|Tech News: 2021-37]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/37|Translations]] are available. '''Recent changes''' * 45 new Wikipedias now have access to the [[mw:Special:MyLanguage/Growth/Feature summary|Growth features]]. [https://phabricator.wikimedia.org/T289680] * [[mw:Special:MyLanguage/Growth/Deployment table|A majority of Wikipedias]] now have access to the Growth features. The Growth team [[mw:Special:MyLanguage/Growth/FAQ|has published an FAQ page]] about the features. This translatable FAQ covers the description of the features, how to use them, how to change the configuration, and more. '''Problems''' * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on 14 September. This is planned at [https://zonestamp.toolforge.org/1631628002 14:00 UTC]. [https://phabricator.wikimedia.org/T287539] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.37/wmf.23|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-09-14|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-09-15|en}}. It will be on all wikis from {{#time:j xg|2021-09-16|en}} ([[mw:MediaWiki 1.37/Roadmap|calendar]]). * Starting this week, Wikipedia in Italian will receive weekly software updates on Wednesdays. It used to receive the updates on Thursdays. Due to this change, bugs will be noticed and fixed sooner. [https://phabricator.wikimedia.org/T286664] * You can add language links in the sidebar in [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|the new Vector skin]] again. You do this by connecting the page to a Wikidata item. The new Vector skin has moved the language links but the new language selector cannot add language links yet. [https://phabricator.wikimedia.org/T287206] * The [[mw:Special:MyLanguage/Extension:SyntaxHighlight|syntax highlight]] tool marks up code with different colours. It now can highlight 23 new code languages. Additionally, <bdi lang="zxx" dir="ltr"><code>golang</code></bdi> can now be used as an alias for the [[d:Q37227|Go programming language]], and a special <bdi lang="zxx" dir="ltr"><code>output</code></bdi> mode has been added to show a program's output. [https://phabricator.wikimedia.org/T280117][https://gerrit.wikimedia.org/r/c/mediawiki/extensions/SyntaxHighlight_GeSHi/+/715277/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/37|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 15:35, 13 September 2021 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22009517 --> == [[m:Special:MyLanguage/Tech/News/2021/38|Tech News: 2021-38]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/38|Translations]] are available. '''Recent changes''' * Growth features are now deployed to almost all Wikipedias. [[phab:T290582|For the majority of small Wikipedias]], the features are only available for experienced users, to [[mw:Special:MyLanguage/Growth/FAQ#enable|test the features]] and [[mw:Special:MyLanguage/Growth/FAQ#config|configure them]]. Features will be available for newcomers starting on 20 September 2021. * MediaWiki had a feature that would highlight local links to short articles in a different style. Each user could pick the size at which "stubs" would be highlighted. This feature was very bad for performance, and following a consultation, has been removed. [https://phabricator.wikimedia.org/T284917] * A technical change was made to the MonoBook skin to allow for easier maintenance and upkeep. This has resulted in some minor changes to HTML that make MonoBook's HTML consistent with other skins. Efforts have been made to minimize the impact on editors, but please ping [[m:User:Jon (WMF)|Jon (WMF)]] on wiki or in [[phab:T290888|phabricator]] if any problems are reported. '''Problems''' * There was a problem with search last week. Many search requests did not work for 2 hours because of an accidental restart of the search servers. [https://wikitech.wikimedia.org/wiki/Incident_documentation/2021-09-13_cirrussearch_restart] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.1|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-09-21|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-09-22|en}}. It will be on all wikis from {{#time:j xg|2021-09-23|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The [[s:Special:ApiHelp/query+proofreadinfo|meta=proofreadpage API]] has changed. The <bdi lang="zxx" dir="ltr"><code><nowiki>piprop</nowiki></code></bdi> parameter has been renamed to <bdi lang="zxx" dir="ltr"><code><nowiki>prpiprop</nowiki></code></bdi>. API users should update their code to avoid unrecognized parameter warnings. Pywikibot users should upgrade to 6.6.0. [https://phabricator.wikimedia.org/T290585] '''Future changes''' * The [[mw:Special:MyLanguage/Help:DiscussionTools#Replying|Reply tool]] will be deployed to the remaining wikis in the coming weeks. It is currently part of "{{int:discussiontools-preference-label}}" in [[Special:Preferences#mw-prefsection-betafeatures|Beta features]] at most wikis. You will be able to turn it off in [[Special:Preferences#mw-prefsection-editing-discussion|Editing Preferences]]. [https://phabricator.wikimedia.org/T262331] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The [[mw:MediaWiki_1.37/Deprecation_of_legacy_API_token_parameters|previously announced]] change to how you obtain tokens from the API has been delayed to September 21 because of an incompatibility with Pywikibot. Bot operators using Pywikibot can follow [[phab:T291202|T291202]] for progress on a fix, and should plan to upgrade to 6.6.1 when it is released. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/38|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 18:32, 20 September 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22043415 --> == [[m:Special:MyLanguage/Tech/News/2021/39|Tech News: 2021-39]] == <section begin="technews-2021-W39"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/39|Translations]] are available. '''Recent changes''' * [[w:en:IOS|iOS 15]] has a new function called [https://support.apple.com/en-us/HT212614 Private Relay] (Apple website). This can hide the user's IP when they use [[w:en:Safari (software)|Safari]] browser. This is like using a [[w:en:Virtual private network|VPN]] in that we see another IP address instead. It is opt-in and only for those who pay extra for [[w:en:ICloud|iCloud]]. It will come to Safari users on [[:w:en:OSX|OSX]] later. There is a [[phab:T289795|technical discussion]] about what this means for the Wikimedia wikis. '''Problems''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Some gadgets and user-scripts add items to the [[m:Customization:Explaining_skins#Portlets|portlets]] (article tools) part of the skin. A recent change to the HTML may have made those links a different font-size. This can be fixed by adding the CSS class <bdi lang="zxx" dir="ltr"><code>.vector-menu-dropdown-noicon</code></bdi>. [https://phabricator.wikimedia.org/T291438] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.2|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-09-28|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-09-29|en}}. It will be on all wikis from {{#time:j xg|2021-09-30|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * The [[mw:Special:MyLanguage/Onboarding_new_Wikipedians#New_experience|GettingStarted extension]] was built in 2013, and provides an onboarding process for new account holders in a few versions of Wikipedia. However, the recently developed [[mw:Special:MyLanguage/Growth/Feature_summary|Growth features]] provide a better onboarding experience. Since the vast majority of Wikipedias now have access to the Growth features, GettingStarted will be deactivated starting on 4 October. [https://phabricator.wikimedia.org/T235752] * A small number of users will not be able to connect to the Wikimedia wikis after 30 September. This is because an old [[:w:en:root certificate|root certificate]] will no longer work. They will also have problems with many other websites. Users who have updated their software in the last five years are unlikely to have problems. Users in Europe, Africa and Asia are less likely to have immediate problems even if their software is too old. You can [[m:Special:MyLanguage/HTTPS/2021 Let's Encrypt root expiry|read more]]. * You can [[mw:Special:MyLanguage/Help:Notifications|receive notifications]] when someone leaves a comment on user talk page or mentions you in a talk page comment. Clicking the notification link will now bring you to the comment and highlight it. Previously, doing so brought you to the top of the section that contained the comment. You can find [[phab:T282029|more information in T282029.]] '''Future changes''' * The [[mw:Special:MyLanguage/Help:DiscussionTools#Replying|Reply tool]] will be deployed to the remaining wikis in the coming weeks. It is currently part of "{{int:discussiontools-preference-label}}" in [[Special:Preferences#mw-prefsection-betafeatures|Beta features]] at most wikis. You will be able to turn it off in [[Special:Preferences#mw-prefsection-editing-discussion|Editing Preferences]]. [[phab:T288485|See the list of wikis.]] [https://phabricator.wikimedia.org/T262331] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/39|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W39"/> 22:23, 27 September 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22077885 --> == [[m:Special:MyLanguage/Tech/News/2021/40|Tech News: 2021-40]] == <section begin="tech-newsletter-content"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/40|Translations]] are available. '''Recent changes''' * A more efficient way of sending changes from Wikidata to Wikimedia wikis that show them has been enabled for the following 10 wikis: mediawiki.org, the Italian, Catalan, Hebrew and Vietnamese Wikipedias, French Wikisource, and English Wikivoygage, Wikibooks, Wiktionary and Wikinews. If you notice anything strange about how changes from Wikidata appear in recent changes or your watchlist on those wikis you can [[phab:T48643|let the developers know]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.3|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-10-05|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-10-06|en}}. It will be on all wikis from {{#time:j xg|2021-10-07|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Some gadgets and bots that use the API to read the AbuseFilter log might break. The <bdi lang="zxx" dir="ltr"><code>hidden</code></bdi> property will no longer say an entry is <bdi lang="zxx" dir="ltr"><code>implicit</code></bdi> for unsuppressed log entries about suppressed edits. If your bot needs to know this, do a separate revision query. Additionally, the property will have the value <bdi lang="zxx" dir="ltr"><code>false</code></bdi> for visible entries; previously, it wasn't included in the response. [https://phabricator.wikimedia.org/T291718] * A more efficient way of sending changes from Wikidata to Wikimedia wikis that show them will be enabled for ''all production wikis''. If you notice anything strange about how changes from Wikidata appear in recent changes or your watchlist you can [[phab:T48643|let the developers know]]. '''Future changes''' * You can soon get cross-wiki notifications in the [[mw:Wikimedia Apps/Team/iOS|iOS Wikipedia app]]. You can also get notifications as push notifications. More notification updates will follow in later versions. [https://www.mediawiki.org/wiki/Wikimedia_Apps/Team/iOS/Notifications#September_2021_update] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The JavaScript variables <bdi lang="zxx" dir="ltr"><code>wgExtraSignatureNamespaces</code></bdi>, <bdi lang="zxx" dir="ltr"><code>wgLegalTitleChars</code></bdi>, and <bdi lang="zxx" dir="ltr"><code>wgIllegalFileChars</code></bdi> will soon be removed from <bdi lang="zxx" dir="ltr"><code>[[mw:Special:MyLanguage/Manual:Interface/JavaScript#mw.config|mw.config]]</code></bdi>. These are not part of the "stable" variables available for use in wiki JavaScript. [https://phabricator.wikimedia.org/T292011] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The JavaScript variables <bdi lang="zxx" dir="ltr"><code>wgCookiePrefix</code></bdi>, <bdi lang="zxx" dir="ltr"><code>wgCookieDomain</code></bdi>, <bdi lang="zxx" dir="ltr"><code>wgCookiePath</code></bdi>, and <bdi lang="zxx" dir="ltr"><code>wgCookieExpiration</code></bdi> will soon be removed from mw.config. Scripts should instead use <bdi lang="zxx" dir="ltr"><code>mw.cookie</code></bdi> from the "<bdi lang="zxx" dir="ltr">[[mw:ResourceLoader/Core_modules#mediawiki.cookie|mediawiki.cookie]]</bdi>" module. [https://phabricator.wikimedia.org/T291760] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/40|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="tech-newsletter-content"/> 16:32, 4 October 2021 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22101208 --> == [[m:Special:MyLanguage/Tech/News/2021/41|Tech News: 2021-41]] == <section begin="technews-2021-W41"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/41|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.4|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-10-12|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-10-13|en}}. It will be on all wikis from {{#time:j xg|2021-10-14|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * The [[mw:Manual:Table_of_contents#Auto-numbering|"auto-number headings" preference]] is being removed. You can read [[phab:T284921]] for the reasons and discussion. This change was [[m:Tech/News/2021/26|previously]] announced. [[mw:Snippets/Auto-number_headings|A JavaScript snippet]] is available which can be used to create a Gadget on wikis that still want to support auto-numbering. '''Meetings''' * You can join a meeting about the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Desktop Improvements]]. A demonstration version of the [[mw:Reading/Web/Desktop Improvements/Features/Sticky Header|newest feature]] will be shown. The event will take place on Tuesday, 12 October at 16:00 UTC. [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/Talk to Web/12-10-2021|See how to join]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/41|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W41"/> 15:30, 11 October 2021 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22152137 --> == [[m:Special:MyLanguage/Tech/News/2021/42|Tech News: 2021-42]] == <section begin="technews-2021-W42"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/42|Translations]] are available. '''Recent changes''' *[[m:Toolhub|Toolhub]] is a catalogue to make it easier to find software tools that can be used for working on the Wikimedia projects. You can [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/LF4SSR4QRCKV6NPRFGUAQWUFQISVIPTS/ read more]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.5|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-10-19|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-10-20|en}}. It will be on all wikis from {{#time:j xg|2021-10-21|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''Future changes''' * The developers of the [[mw:Wikimedia Apps/Team/Android|Wikipedia Android app]] are working on [[mw:Wikimedia Apps/Team/Android/Communication|communication in the app]]. You can now answer questions in [[mw:Wikimedia Apps/Team/Android/Communication/UsertestingOctober2021|survey]] to help the development. * 3–5% of editors may be blocked in the next few months. This is because of a new service in Safari, which is similar to a [[w:en:Proxy server|proxy]] or a [[w:en:VPN|VPN]]. It is called iCloud Private Relay. There is a [[m:Special:MyLanguage/Apple iCloud Private Relay|discussion about this]] on Meta. The goal is to learn what iCloud Private Relay could mean for the communities. * [[m:Special:MyLanguage/Wikimedia Enterprise|Wikimedia Enterprise]] is a new [[w:en:API|API]] for those who use a lot of information from the Wikimedia projects on other sites. It is a way to get big commercial users to pay for the data. There will soon be a copy of the Wikimedia Enterprise dataset. You can [https://lists.wikimedia.org/hyperkitty/list/wikitech-ambassadors@lists.wikimedia.org/message/B2AX6PWH5MBKB4L63NFZY3ADBQG7MSBA/ read more]. You can also ask the team questions [https://wikimedia.zoom.us/j/88994018553 on Zoom] on [https://www.timeanddate.com/worldclock/fixedtime.html?hour=15&min=00&sec=0&day=22&month=10&year=2021 22 October 15:00 UTC]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/42|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W42"/> 20:53, 18 October 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22176877 --> == [[m:Special:MyLanguage/Tech/News/2021/43|Tech News: 2021-43]] == <section begin="technews-2021-W43"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/43|Translations]] are available. '''Recent changes''' * The [[m:Special:MyLanguage/Coolest_Tool_Award|Coolest Tool Award 2021]] is looking for nominations. You can recommend tools until 27 October. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.6|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-10-26|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-10-27|en}}. It will be on all wikis from {{#time:j xg|2021-10-28|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''Future changes''' *[[m:Special:MyLanguage/Help:Diff|Diff pages]] will have an improved copy and pasting experience. [[m:Special:MyLanguage/Community Wishlist Survey 2021/Copy paste diffs|The changes]] will allow the text in the diff for before and after to be treated as separate columns and will remove any unwanted syntax. [https://phabricator.wikimedia.org/T192526] * The version of the [[w:en:Liberation fonts|Liberation fonts]] used in SVG files will be upgraded. Only new thumbnails will be affected. Liberation Sans Narrow will not change. [https://phabricator.wikimedia.org/T253600] '''Meetings''' * You can join a meeting about the [[m:Special:MyLanguage/Community Wishlist Survey|Community Wishlist Survey]]. News about the [[m:Special:MyLanguage/Community Wishlist Survey 2021/Warn when linking to disambiguation pages|disambiguation]] and the [[m:Special:MyLanguage/Community Wishlist Survey 2021/Real Time Preview for Wikitext|real-time preview]] wishes will be shown. The event will take place on Wednesday, 27 October at 14:30 UTC. [[m:Special:MyLanguage/Community Wishlist Survey/Updates/Talk to Us|See how to join]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/43|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W43"/> 20:08, 25 October 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22232718 --> == [[m:Special:MyLanguage/Tech/News/2021/44|Tech News: 2021-44]] == <section begin="technews-2021-W44"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/44|Translations]] are available. '''Recent changes''' * There is a limit on the amount of emails a user can send each day. This limit is now global instead of per-wiki. This change is to prevent abuse. [https://phabricator.wikimedia.org/T293866] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.7|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-11-02|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-11-03|en}}. It will be on all wikis from {{#time:j xg|2021-11-04|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/44|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W44"/> 20:28, 1 November 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22269406 --> == [[m:Special:MyLanguage/Tech/News/2021/45|Tech News: 2021-45]] == <section begin="technews-2021-W45"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/45|Translations]] are available. '''Recent changes''' * Mobile IP editors are now able to receive warning notices indicating they have a talk page message on the mobile website (similar to the orange banners available on desktop). These notices will be displayed on every page outside of the main namespace and every time the user attempts to edit. The notice on desktop now has a slightly different colour. [https://phabricator.wikimedia.org/T284642][https://phabricator.wikimedia.org/T278105] '''Changes later this week''' * [[phab:T294321|Wikidata will be read-only]] for a few minutes on 11 November. This will happen around [https://zonestamp.toolforge.org/1636610400 06:00 UTC]. This is for database maintenance. [https://phabricator.wikimedia.org/T294321] * There is no new MediaWiki version this week. '''Future changes''' * In the future, unregistered editors will be given an identity that is not their [[:w:en:IP address|IP address]]. This is for legal reasons. A new user right will let editors who need to know the IPs of unregistered accounts to fight vandalism, spam, and harassment, see the IP. You can read the [[m:IP Editing: Privacy Enhancement and Abuse Mitigation#IP Masking Implementation Approaches (FAQ)|suggestions for how that identity could work]] and [[m:Talk:IP Editing: Privacy Enhancement and Abuse Mitigation|discuss on the talk page]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/45|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W45"/> 20:36, 8 November 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22311003 --> == [[m:Special:MyLanguage/Tech/News/2021/46|Tech News: 2021-46]] == <section begin="technews-2021-W46"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/46|Translations]] are available. '''Recent changes''' * Most [[c:Special:MyLanguage/Commons:Maximum_file_size#MAXTHUMB|large file uploads]] errors that had messages like "<bdi lang="zxx" dir="ltr"><code>stashfailed</code></bdi>" or "<bdi lang="zxx" dir="ltr"><code>DBQueryError</code></bdi>" have now been fixed. An [[wikitech:Incident documentation/2021-11-04 large file upload timeouts|incident report]] is available. '''Problems''' * Sometimes, edits made on iOS using the visual editor save groups of numbers as telephone number links, because of a feature in the operating system. This problem is under investigation. [https://phabricator.wikimedia.org/T116525] * There was a problem with search last week. Many search requests did not work for 2 hours because of a configuration error. [https://wikitech.wikimedia.org/wiki/Incident_documentation/2021-11-10_cirrussearch_commonsfile_outage] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.9|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-11-16|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-11-17|en}}. It will be on all wikis from {{#time:j xg|2021-11-18|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/46|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W46"/> 22:06, 15 November 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22338097 --> == [[m:Special:MyLanguage/Tech/News/2021/47|Tech News: 2021-47]] == <section begin="technews-2021-W47"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/47|Translations]] are available. '''Changes later this week''' * There is no new MediaWiki version this week. *The template dialog in VisualEditor and in the [[Special:Preferences#mw-prefsection-betafeatures|new wikitext mode]] Beta feature will be [[m:WMDE Technical Wishes/VisualEditor template dialog improvements|heavily improved]] on [[phab:T286992|a few wikis]]. Your [[m:Talk:WMDE Technical Wishes/VisualEditor template dialog improvements|feedback is welcome]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/47|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W47"/> 20:02, 22 November 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22366010 --> == [[m:Special:MyLanguage/Tech/News/2021/48|Tech News: 2021-48]] == <section begin="technews-2021-W48"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/48|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.11|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-11-30|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-12-01|en}}. It will be on all wikis from {{#time:j xg|2021-12-02|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/48|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W48"/> 21:15, 29 November 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22375666 --> == [[m:Special:MyLanguage/Tech/News/2021/49|Tech News: 2021-49]] == <section begin="technews-2021-W49"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/49|Translations]] are available. '''Problems''' * MediaWiki 1.38-wmf.11 was scheduled to be deployed on some wikis last week. The deployment was delayed because of unexpected problems. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.12|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-12-07|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-12-08|en}}. It will be on all wikis from {{#time:j xg|2021-12-09|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * At all Wikipedias, a Mentor Dashboard is now available at <bdi lang="zxx" dir="ltr"><code><nowiki>Special:MentorDashboard</nowiki></code></bdi>. It allows registered mentors, who take care of newcomers' first steps, to monitor their assigned newcomers' activity. It is part of the [[mw:Special:MyLanguage/Growth/Feature summary|Growth features]]. You can learn more about [[mw:Special:MyLanguage/Growth/Communities/How_to_configure_the_mentors%27_list|activating the mentor list]] on your wiki and about [[mw:Special:MyLanguage/Growth/Mentor dashboard|the mentor dashboard project]]. * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The predecessor to the current [[mw:API|MediaWiki Action API]] (which was created in 2008), <bdi lang="zxx" dir="ltr"><code><nowiki>action=ajax</nowiki></code></bdi>, will be removed this week. Any scripts or bots using it will need to switch to the corresponding API module. [https://phabricator.wikimedia.org/T42786] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] An old ResourceLoader module, <bdi lang="zxx" dir="ltr"><code><nowiki>jquery.jStorage</nowiki></code></bdi>, which was deprecated in 2016, will be removed this week. Any scripts or bots using it will need to switch to <bdi lang="zxx" dir="ltr"><code><nowiki>mediawiki.storage</nowiki></code></bdi> instead. [https://phabricator.wikimedia.org/T143034] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/49|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W49"/> 21:59, 6 December 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22413926 --> == [[m:Special:MyLanguage/Tech/News/2021/50|Tech News: 2021-50]] == <section begin="technews-2021-W50"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/50|Translations]] are available. '''Recent changes''' * There are now default [[m:Special:MyLanguage/Help:Namespace#Other_namespace_aliases|short aliases]] for the "Project:" namespace on most wikis. E.g. On Wikibooks wikis, <bdi lang="zxx" dir="ltr"><code><nowiki>[[WB:]]</nowiki></code></bdi> will go to the local language default for the <bdi lang="zxx" dir="ltr"><code><nowiki>[[Project:]]</nowiki></code></bdi> namespace. This change is intended to help the smaller communities have easy access to this feature. Additional local aliases can still be requested via [[m:Special:MyLanguage/Requesting wiki configuration changes|the usual process]]. [https://phabricator.wikimedia.org/T293839] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.13|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2021-12-14|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2021-12-15|en}}. It will be on all wikis from {{#time:j xg|2021-12-16|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/50|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W50"/> 22:27, 13 December 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22441074 --> == [[m:Special:MyLanguage/Tech/News/2021/51|Tech News: 2021-51]] == <section begin="technews-2021-W51"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2021/51|Translations]] are available. '''Tech News''' * Because of the [[w:en:Christmas and holiday season|holidays]] the next issue of Tech News will be sent out on 10 January 2022. '''Recent changes''' * Queries made by the DynamicPageList extension (<bdi lang="zxx" dir="ltr"><code><nowiki><DynamicPageList></nowiki></code></bdi>) are now only allowed to run for 10 seconds and error if they take longer. This is in response to multiple outages where long-running queries caused an outage on all wikis. [https://phabricator.wikimedia.org/T287380#7575719] '''Changes later this week''' * There is no new MediaWiki version this week or next week. '''Future changes''' * The developers of the Wikipedia iOS app are looking for testers who edit in multiple languages. You can [[mw:Wikimedia Apps/Team/iOS/202112 testing|read more and let them know if you are interested]]. * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The Wikimedia [[wikitech:Portal:Cloud VPS|Cloud VPS]] hosts technical projects for the Wikimedia movement. Developers need to [[wikitech:News/Cloud VPS 2021 Purge|claim projects]] they use. This is because old and unused projects are removed once a year. Unclaimed projects can be shut down from February. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/2B7KYL5VLQNHGQQHMYLW7KTUKXKAYY3T/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2021/51|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2021-W51"/> 22:05, 20 December 2021 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22465395 --> == [[m:Special:MyLanguage/Tech/News/2022/02|Tech News: 2022-02]] == <section begin="technews-2022-W02"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/02|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] A <bdi lang="zxx" dir="ltr"><code>oauth_consumer</code></bdi> variable has been added to the [[mw:Special:MyLanguage/AbuseFilter|AbuseFilter]] to enable identifying changes made by specific tools. [https://phabricator.wikimedia.org/T298281] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Gadgets are [[mw:Special:MyLanguage/ResourceLoader/Migration_guide_(users)#Package_Gadgets|now able to directly include JSON pages]]. This means some gadgets can now be configured by administrators without needing the interface administrator permission, such as with the Geonotice gadget. [https://phabricator.wikimedia.org/T198758] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Gadgets [[mw:Extension:Gadgets#Options|can now specify page actions]] on which they are available. For example, <bdi lang="zxx" dir="ltr"><code>|actions=edit,history</code></bdi> will load a gadget only while editing and on history pages. [https://phabricator.wikimedia.org/T63007] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] Gadgets can now be loaded on demand with the <bdi lang="zxx" dir="ltr"><code>withgadget</code></bdi> URL parameter. This can be used to replace [[mw:Special:MyLanguage/Snippets/Load JS and CSS by URL|an earlier snippet]] that typically looks like <bdi lang="zxx" dir="ltr"><code>withJS</code></bdi> or <bdi lang="zxx" dir="ltr"><code>withCSS</code></bdi>. [https://phabricator.wikimedia.org/T29766] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] At wikis where [[mw:Special:MyLanguage/Growth/Communities/How to configure the mentors' list|the Mentorship system is configured]], you can now use the Action API to get a list of a [[mw:Special:MyLanguage/Growth/Mentor_dashboard|mentor's]] mentees. [https://phabricator.wikimedia.org/T291966] * The heading on the main page can now be configured using <span class="mw-content-ltr" lang="en" dir="ltr">[[MediaWiki:Mainpage-title-loggedin]]</span> for logged-in users and <span class="mw-content-ltr" lang="en" dir="ltr">[[MediaWiki:Mainpage-title]]</span> for logged-out users. Any CSS that was previously used to hide the heading should be removed. [https://meta.wikimedia.org/wiki/Special:MyLanguage/Small_wiki_toolkits/Starter_kit/Main_page_customization#hide-heading] [https://phabricator.wikimedia.org/T298715] * Four special pages (and their API counterparts) now have a maximum database query execution time of 30 seconds. These special pages are: RecentChanges, Watchlist, Contributions, and Log. This change will help with site performance and stability. You can read [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/IPJNO75HYAQWIGTHI5LJHTDVLVOC4LJP/ more details about this change] including some possible solutions if this affects your workflows. [https://phabricator.wikimedia.org/T297708] * The [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Features/Sticky Header|sticky header]] has been deployed for 50% of logged-in users on [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Frequently asked questions#pilot-wikis|more than 10 wikis]]. This is part of the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Desktop Improvements]]. See [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Participate|how to take part in the project]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.17|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-01-11|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-01-12|en}}. It will be on all wikis from {{#time:j xg|2022-01-13|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''Events''' * [[m:Special:MyLanguage/Community Wishlist Survey 2022|Community Wishlist Survey 2022]] begins. All contributors to the Wikimedia projects can propose for tools and platform improvements. The proposal phase takes place from {{#time:j xg|2022-01-10|en}} 18:00 UTC to {{#time:j xg|2022-01-23|en}} 18:00 UTC. [[m:Special:MyLanguage/Community_Wishlist_Survey/FAQ|Learn more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/02|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W02"/> 01:23, 11 January 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22562156 --> == [[m:Special:MyLanguage/Tech/News/2022/03|Tech News: 2022-03]] == <section begin="technews-2022-W03"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/03|Translations]] are available. '''Recent changes''' * When using [[mw:Special:MyLanguage/Extension:WikiEditor|WikiEditor]] (also known as the 2010 wikitext editor), people will now see a warning if they link to disambiguation pages. If you click "{{int:Disambiguator-review-link}}" in the warning, it will ask you to correct the link to a more specific term. You can [[m:Community Wishlist Survey 2021/Warn when linking to disambiguation pages#Jan 12, 2021: Turning on the changes for all Wikis|read more information]] about this completed 2021 Community Wishlist item. * You can [[mw:Special:MyLanguage/Help:DiscussionTools#subscribe|automatically subscribe to all of the talk page discussions]] that you start or comment in using [[mw:Special:MyLanguage/Talk pages project/Feature summary|DiscussionTools]]. You will receive [[mw:Special:MyLanguage/Notifications|notifications]] when another editor replies. This is available at most wikis. Go to your [[Special:Preferences#mw-prefsection-editing-discussion|Preferences]] and turn on "{{int:discussiontools-preference-autotopicsub}}". [https://phabricator.wikimedia.org/T263819] * When asked to create a new page or talk page section, input fields can be [[mw:Special:MyLanguage/Manual:Creating_pages_with_preloaded_text|"preloaded" with some text]]. This feature is now limited to wikitext pages. This is so users can't be tricked into making malicious edits. There is a discussion about [[phab:T297725|if this feature should be re-enabled]] for some content types. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.18|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-01-18|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-01-19|en}}. It will be on all wikis from {{#time:j xg|2022-01-20|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''Events''' * [[m:Special:MyLanguage/Community Wishlist Survey 2022|Community Wishlist Survey 2022]] continues. All contributors to the Wikimedia projects can propose for tools and platform improvements. The proposal phase takes place from {{#time:j xg|2022-01-10|en}} 18:00 UTC to {{#time:j xg|2022-01-23|en}} 18:00 UTC. [[m:Special:MyLanguage/Community_Wishlist_Survey/FAQ|Learn more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/03|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W03"/> 19:55, 17 January 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22620285 --> == [[m:Special:MyLanguage/Tech/News/2022/04|Tech News: 2022-04]] == <section begin="technews-2022-W04"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/04|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.19|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-01-25|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-01-26|en}}. It will be on all wikis from {{#time:j xg|2022-01-27|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * The following languages can now be used with [[mw:Special:MyLanguage/Extension:SyntaxHighlight|syntax highlighting]]: BDD, Elpi, LilyPond, Maxima, Rita, Savi, Sed, Sophia, Spice, .SRCINFO. * You can now access your watchlist from outside of the user menu in the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|new Vector skin]]. The watchlist link appears next to the notification icons if you are at the top of the page. [https://phabricator.wikimedia.org/T289619] '''Events''' * You can see the results of the [[m:Special:MyLanguage/Coolest Tool Award|Coolest Tool Award 2021]] and learn more about 14 tools which were selected this year. * You can [[m:Special:MyLanguage/Community_Wishlist_Survey/Help_us|translate, promote]], or comment on [[m:Special:MyLanguage/Community Wishlist Survey 2022/Proposals|the proposals]] in the Community Wishlist Survey. Voting will begin on {{#time:j xg|2022-01-28|en}}. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/04|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W04"/> 21:38, 24 January 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22644148 --> == [[m:Special:MyLanguage/Tech/News/2022/05|Tech News: 2022-05]] == <section begin="technews-2022-W05"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/05|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] If a gadget should support the new <bdi lang="zxx" dir="ltr"><code>?withgadget</code></bdi> URL parameter that was [[m:Special:MyLanguage/Tech/News/2022/02|announced]] 3 weeks ago, then it must now also specify <bdi lang="zxx" dir="ltr"><code>supportsUrlLoad</code></bdi> in the gadget definition ([[mw:Special:MyLanguage/Extension:Gadgets#supportsUrlLoad|documentation]]). [https://phabricator.wikimedia.org/T29766] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.20|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-02-01|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-02-02|en}}. It will be on all wikis from {{#time:j xg|2022-02-03|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''Future changes''' * A change that was [[m:Special:MyLanguage/Tech/News/2021/16|announced]] last year was delayed. It is now ready to move ahead: ** The user group <code>oversight</code> will be renamed <code>suppress</code>. This is for [[phab:T109327|technical reasons]]. This is the technical name. It doesn't affect what you call the editors with this user right on your wiki. This is planned to happen in three weeks. You can comment [[phab:T112147|in Phabricator]] if you have objections. As usual, these labels can be translated on translatewiki ([[phab:T112147|direct links are available]]) or by administrators on your wiki. '''Events''' * You can vote on proposals in the [[m:Special:MyLanguage/Community Wishlist Survey 2022|Community Wishlist Survey]] between 28 January and 11 February. The survey decides what the [[m:Special:MyLanguage/Community Tech|Community Tech team]] will work on. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/05|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W05"/> 17:42, 31 January 2022 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22721804 --> == [[m:Special:MyLanguage/Tech/News/2022/06|Tech News: 2022-06]] == <section begin="technews-2022-W06"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/06|Translations]] are available. '''Recent changes''' * English Wikipedia recently set up a gadget for dark mode. You can enable it there, or request help from an [[m:Special:MyLanguage/Interface administrators|interface administrator]] to set it up on your wiki ([[w:en:Wikipedia:Dark mode (gadget)|instructions and screenshot]]). * Category counts are sometimes wrong. They will now be completely recounted at the beginning of every month. [https://phabricator.wikimedia.org/T299823] '''Problems''' * A code-change last week to fix a bug with [[mw:Special:MyLanguage/Manual:Live preview|Live Preview]] may have caused problems with some local gadgets and user-scripts. Any code with skin-specific behaviour for <bdi lang="zxx" dir="ltr"><code>vector</code></bdi> should be updated to also check for <bdi lang="zxx" dir="ltr"><code>vector-2022</code></bdi>. [[phab:T300987|A code-snippet, global search, and example are available]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.21|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-02-08|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-02-09|en}}. It will be on all wikis from {{#time:j xg|2022-02-10|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/06|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W06"/> 21:15, 7 February 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22765948 --> == [[m:Special:MyLanguage/Tech/News/2022/07|Tech News: 2022-07]] == <section begin="technews-2022-W07"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/07|Translations]] are available. '''Recent changes''' * [[mw:Special:MyLanguage/Manual:Purge|Purging]] a category page with fewer than 5,000 members will now recount it completely. This will allow editors to fix incorrect counts when it is wrong. [https://phabricator.wikimedia.org/T85696] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.22|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-02-15|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-02-16|en}}. It will be on all wikis from {{#time:j xg|2022-02-17|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * [[File:Octicons-tools.svg|15px|link=|Advanced item]] In the [[mw:Special:MyLanguage/Extension:AbuseFilter|AbuseFilter]] extension, the <code dir=ltr>rmspecials()</code> function has been updated so that it does not remove the "space" character. Wikis are advised to wrap all the uses of <code dir=ltr>rmspecials()</code> with <code dir=ltr>rmwhitespace()</code> wherever necessary to keep filters' behavior unchanged. You can use the search function on [[Special:AbuseFilter]] to locate its usage. [https://phabricator.wikimedia.org/T263024] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/07|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W07"/> 19:18, 14 February 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22821788 --> == [[m:Special:MyLanguage/Tech/News/2022/08|Tech News: 2022-08]] == <section begin="technews-2022-W08"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/08|Translations]] are available. '''Recent changes''' * [[Special:Nuke|Special:Nuke]] will now provide the standard deletion reasons (editable at <bdi lang="en" dir="ltr">[[MediaWiki:Deletereason-dropdown]]</bdi>) to use when mass-deleting pages. This was [[m:Community Wishlist Survey 2022/Admins and patrollers/Mass-delete to offer drop-down of standard reasons, or templated reasons.|a request in the 2022 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T25020] * At Wikipedias, all new accounts now get the [[mw:Special:MyLanguage/Growth/Feature_summary|Growth features]] by default when creating an account. Communities are encouraged to [[mw:Special:MyLanguage/Help:Growth/Tools/Account_creation|update their help resources]]. Previously, only 80% of new accounts would get the Growth features. A few Wikipedias remain unaffected by this change. [https://phabricator.wikimedia.org/T301820] * You can now prevent specific images that are used in a page from appearing in other locations, such as within PagePreviews or Search results. This is done with the markup <bdi lang="zxx" dir="ltr"><code><nowiki>class=notpageimage</nowiki></code></bdi>. For example, <code><nowiki>[[File:Example.png|class=notpageimage]]</nowiki></code>. [https://phabricator.wikimedia.org/T301588] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] There has been a change to the HTML of Special:Contributions, Special:MergeHistory, and History pages, to support the grouping of changes by date in [[mw:Special:MyLanguage/Skin:Minerva_Neue|the mobile skin]]. While unlikely, this may affect gadgets and user scripts. A [[phab:T298638|list of all the HTML changes]] is on Phabricator. '''Events''' * [[m:Special:MyLanguage/Community Wishlist Survey 2022/Results|Community Wishlist Survey results]] have been published. The [[m:Special:MyLanguage/Community Wishlist Survey/Updates/2022 results#leaderboard|ranking of prioritized proposals]] is also available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.23|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-02-22|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-02-23|en}}. It will be on all wikis from {{#time:j xg|2022-02-24|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''Future changes''' * The software to play videos and audio files on pages will change soon on all wikis. The old player will be removed. Some audio players will become wider after this change. [[mw:Special:MyLanguage/Extension:TimedMediaHandler/VideoJS_Player|The new player]] has been a beta feature for over four years. [https://phabricator.wikimedia.org/T100106][https://phabricator.wikimedia.org/T248418] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Toolforge's underlying operating system is being updated. If you maintain any tools there, there are two options for migrating your tools into the new system. There are [[wikitech:News/Toolforge Stretch deprecation|details, deadlines, and instructions]] on Wikitech. [https://lists.wikimedia.org/hyperkitty/list/cloud-announce@lists.wikimedia.org/thread/EPJFISC52T7OOEFH5YYMZNL57O4VGSPR/] * Administrators will soon have [[m:Special:MyLanguage/Community Wishlist Survey 2021/(Un)delete associated talk page|the option to delete/undelete]] the associated "talk" page when they are deleting a given page. An API endpoint with this option will also be available. This was [[m:Community Wishlist Survey 2021/Admins and patrollers/(Un)delete associated talk page|a request from the 2021 Wishlist Survey]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/08|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W08"/> 19:12, 21 February 2022 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22847768 --> == [[m:Special:MyLanguage/Tech/News/2022/09|Tech News: 2022-09]] == <section begin="technews-2022-W09"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/09|Translations]] are available. '''Recent changes''' * When searching for edits by [[mw:Special:MyLanguage/Help:Tags|change tags]], e.g. in page history or user contributions, there is now a dropdown list of possible tags. This was [[m:Community Wishlist Survey 2022/Miscellaneous/Improve plain-text change tag selector|a request in the 2022 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T27909] * Mentors using the [[mw:Special:MyLanguage/Growth/Mentor_dashboard|Growth Mentor dashboard]] will now see newcomers assigned to them who have made at least one edit, up to 200 edits. Previously, all newcomers assigned to the mentor were visible on the dashboard, even ones without any edit or ones who made hundred of edits. Mentors can still change these values using the filters on their dashboard. Also, the last choice of filters will now be saved. [https://phabricator.wikimedia.org/T301268][https://phabricator.wikimedia.org/T294460] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] The user group <code>oversight</code> was renamed <code>suppress</code>. This is for [[phab:T109327|technical reasons]]. You may need to update any local references to the old name, e.g. gadgets, links to Special:Listusers, or uses of [[mw:Special:MyLanguage/Help:Magic_words|NUMBERINGROUP]]. '''Problems''' * The recent change to the HTML of [[mw:Special:MyLanguage/Help:Tracking changes|tracking changes]] pages caused some problems for screenreaders. This is being fixed. [https://phabricator.wikimedia.org/T298638] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.24|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-03-01|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-03-02|en}}. It will be on all wikis from {{#time:j xg|2022-03-03|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''Future changes''' * Working with templates will become easier. [[m:WMDE_Technical_Wishes/Templates|Several improvements]] are planned for March 9 on most wikis and on March 16 on English Wikipedia. The improvements include: Bracket matching, syntax highlighting colors, finding and inserting templates, and related visual editor features. * If you are a template developer or an interface administrator, and you are intentionally overriding or using the default CSS styles of user feedback boxes (the classes: <code dir=ltr>successbox, messagebox, errorbox, warningbox</code>), please note that these classes and associated CSS will soon be removed from MediaWiki core. This is to prevent problems when the same class-names are also used on a wiki. Please let us know by commenting at [[phab:T300314]] if you think you might be affected. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/09|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W09"/> 22:59, 28 February 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22902593 --> == [[m:Special:MyLanguage/Tech/News/2022/10|Tech News: 2022-10]] == <section begin="technews-2022-W10"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/10|Translations]] are available. '''Problems''' * There was a problem with some interface labels last week. It will be fixed this week. This change was part of ongoing work to simplify the support for skins which do not have active maintainers. [https://phabricator.wikimedia.org/T301203] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.25|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-03-08|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-03-09|en}}. It will be on all wikis from {{#time:j xg|2022-03-10|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/10|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W10"/> 21:16, 7 March 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22958074 --> == [[m:Special:MyLanguage/Tech/News/2022/11|Tech News: 2022-11]] == <section begin="technews-2022-W11"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/11|Translations]] are available. '''Recent changes''' * In the Wikipedia Android app [[mw:Special:MyLanguage/Wikimedia_Apps/Team/Android/Communication#Updates|it is now possible]] to change the toolbar at the bottom so the tools you use more often are easier to click on. The app now also has a focused reading mode. [https://phabricator.wikimedia.org/T296753][https://phabricator.wikimedia.org/T254771] '''Problems''' * There was a problem with the collection of some page-view data from June 2021 to January 2022 on all wikis. This means the statistics are incomplete. To help calculate which projects and regions were most affected, relevant datasets are being retained for 30 extra days. You can [[m:Talk:Data_retention_guidelines#Added_exception_for_page_views_investigation|read more on Meta-wiki]]. * There was a problem with the databases on March 10. All wikis were unreachable for logged-in users for 12 minutes. Logged-out users could read pages but could not edit or access uncached content then. [https://wikitech.wikimedia.org/wiki/Incident_documentation/2022-03-10_MediaWiki_availability] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.38/wmf.26|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-03-15|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-03-16|en}}. It will be on all wikis from {{#time:j xg|2022-03-17|en}} ([[mw:MediaWiki 1.38/Roadmap|calendar]]). * When [[mw:Special:MyLanguage/Help:System_message#Finding_messages_and_documentation|using <bdi lang="zxx" dir="ltr"><code>uselang=qqx</code></bdi> to find localisation messages]], it will now show all possible message keys for navigation tabs such as "{{int:vector-view-history}}". [https://phabricator.wikimedia.org/T300069] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Access to [[{{#special:RevisionDelete}}]] has been expanded to include users who have <code dir=ltr>deletelogentry</code> and <code dir=ltr>deletedhistory</code> rights through their group memberships. Before, only those with the <code dir=ltr>deleterevision</code> right could access this special page. [https://phabricator.wikimedia.org/T301928] * On the [[{{#special:Undelete}}]] pages for diffs and revisions, there will be a link back to the main Undelete page with the list of revisions. [https://phabricator.wikimedia.org/T284114] '''Future changes''' * The Wikimedia Foundation has announced the IP Masking implementation strategy and next steps. The [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation#feb25|announcement can be read here]]. * The [[mw:Special:MyLanguage/Wikimedia Apps/Android FAQ|Wikipedia Android app]] developers are working on [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/Communication|new functions]] for user talk pages and article talk pages. [https://phabricator.wikimedia.org/T297617] '''Events''' * The [[mw:Wikimedia Hackathon 2022|Wikimedia Hackathon 2022]] will take place as a hybrid event on 20-22 May 2022. The Hackathon will be held online and there are grants available to support local in-person meetups around the world. Grants can be requested until 20 March. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/11|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W11"/> 22:07, 14 March 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=22993074 --> == [[m:Special:MyLanguage/Tech/News/2022/12|Tech News: 2022-12]] == <section begin="technews-2022-W12"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/12|Translations]] are available. '''New code release schedule for this week''' * There will be four MediaWiki releases this week, instead of just one. This is an experiment which should lead to fewer problems and to faster feature updates. The releases will be on all wikis, at different times, on Monday, Tuesday, and Wednesday. You can [[mw:Special:MyLanguage/Wikimedia Release Engineering Team/Trainsperiment week|read more about this project]]. '''Recent changes''' * You can now set how many search results to show by default in [[Special:Preferences#mw-prefsection-searchoptions|your Preferences]]. This was the 12th most popular wish in the [[m:Special:MyLanguage/Community Wishlist Survey 2022/Results|Community Wishlist Survey 2022]]. [https://phabricator.wikimedia.org/T215716] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] The Jupyter notebooks tool [[wikitech:PAWS|PAWS]] has been updated to a new interface. [https://phabricator.wikimedia.org/T295043] '''Future changes''' * Interactive maps via [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] will soon work on wikis using the [[mw:Special:MyLanguage/Extension:FlaggedRevs|FlaggedRevisions]] extension. [https://wikimedia.sslsurvey.de/Kartographer-Workflows-EN/ Please tell us] which improvements you want to see in Kartographer. You can take this survey in simple English. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Geoinformation] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/12|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W12"/> 16:01, 21 March 2022 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23034693 --> == [[m:Special:MyLanguage/Tech/News/2022/13|Tech News: 2022-13]] == <section begin="technews-2022-W13"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/13|Translations]] are available. '''Recent changes''' * There is a simple new Wikimedia Commons upload tool available for macOS users, [[c:Commons:Sunflower|Sunflower]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.5|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-03-29|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-03-30|en}}. It will be on all wikis from {{#time:j xg|2022-03-31|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * Some wikis will be in read-only for a few minutes because of regular database maintenance. It will be performed on {{#time:j xg|2022-03-29|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s3.dblist targeted wikis]) and on {{#time:j xg|2022-03-31|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s5.dblist targeted wikis]). [https://phabricator.wikimedia.org/T301850][https://phabricator.wikimedia.org/T303798] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/13|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W13"/> 19:54, 28 March 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23073711 --> == [[m:Special:MyLanguage/Tech/News/2022/14|Tech News: 2022-14]] == <section begin="technews-2022-W14"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/14|Translations]] are available. '''Problems''' * For a few days last week, edits that were suggested to newcomers were not tagged in the [[{{#special:recentchanges}}]] feed. This bug has been fixed. [https://phabricator.wikimedia.org/T304747] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.6|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-04-05|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-04-06|en}}. It will be on all wikis from {{#time:j xg|2022-04-07|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-04-07|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s4.dblist targeted wikis]). '''Future changes''' * Starting next week, Tech News' title will be translatable. When the newsletter is distributed, its title may not be <code dir=ltr>Tech News: 2022-14</code> anymore. It may affect some filters that have been set up by some communities. [https://phabricator.wikimedia.org/T302920] * Over the next few months, the "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" Growth feature [[phab:T304110|will become available to more Wikipedias]]. Each week, a few wikis will get the feature. You can test this tool at [[mw:Special:MyLanguage/Growth#deploymentstable|a few wikis where "Link recommendation" is already available]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/14|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W14"/> 21:01, 4 April 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23097604 --> == Tech News: 2022-15 == <section begin="technews-2022-W15"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/15|Translations]] are available. '''Recent changes''' * There is a new public status page at <span class="mw-content-ltr" lang="en" dir="ltr">[https://www.wikimediastatus.net/ www.wikimediastatus.net]</span>. This site shows five automated high-level metrics where you can see the overall health and performance of our wikis' technical environment. It also contains manually-written updates for widespread incidents, which are written as quickly as the engineers are able to do so while also fixing the actual problem. The site is separated from our production infrastructure and hosted by an external service, so that it can be accessed even if the wikis are briefly unavailable. You can [https://diff.wikimedia.org/2022/03/31/announcing-www-wikimediastatus-net/ read more about this project]. * On Wiktionary wikis, the software to play videos and audio files on pages has now changed. The old player has been removed. Some audio players will become wider after this change. [[mw:Special:MyLanguage/Extension:TimedMediaHandler/VideoJS_Player|The new player]] has been a beta feature for over four years. [https://phabricator.wikimedia.org/T100106][https://phabricator.wikimedia.org/T248418] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.7|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-04-12|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-04-13|en}}. It will be on all wikis from {{#time:j xg|2022-04-14|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/15|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W15"/> 19:44, 11 April 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23124108 --> == Tech News: 2022-16 == <section begin="technews-2022-W16"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/16|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.8|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-04-19|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-04-20|en}}. It will be on all wikis from {{#time:j xg|2022-04-21|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-04-19|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s7.dblist targeted wikis]) and on {{#time:j xg|2022-04-21|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s8.dblist targeted wikis]). * Administrators will now have [[m:Community Wishlist Survey 2021/(Un)delete associated talk page|the option to delete/undelete the associated "Talk" page]] when they are deleting a given page. An API endpoint with this option is also available. This concludes the [[m:Community Wishlist Survey 2021/Admins and patrollers/(Un)delete associated talk page|11th wish of the 2021 Community Wishlist Survey]]. * On [[mw:Special:MyLanguage/Reading/Web/Desktop_Improvements#test-wikis|selected wikis]], 50% of logged-in users will see the new [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Features/Table of contents|table of contents]]. When scrolling up and down the page, the table of contents will stay in the same place on the screen. This is part of the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Desktop Improvements]] project. [https://phabricator.wikimedia.org/T304169] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Message boxes produced by MediaWiki code will no longer have these CSS classes: <code dir=ltr>successbox</code>, <code dir=ltr>errorbox</code>, <code dir=ltr>warningbox</code>. The styles for those classes and <code dir=ltr>messagebox</code> will be removed from MediaWiki core. This only affects wikis that use these classes in wikitext, or change their appearance within site-wide CSS. Please review any local usage and definitions for these classes you may have. This was previously announced in the [[m:Special:MyLanguage/Tech/News/2022/09|28 February issue of Tech News]]. '''Future changes''' * [[mw:Special:MyLanguage/Extension:Kartographer|Kartographer]] will become compatible with [[mw:Special:MyLanguage/Extension:FlaggedRevs|FlaggedRevisions page stabilization]]. Kartographer maps will also work on pages with [[mw:Special:MyLanguage/Help:Pending changes|pending changes]]. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Geoinformation#Project_descriptions] The Kartographer documentation has been thoroughly updated. [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Extension:Kartographer/Getting_started] [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:VisualEditor/Maps] [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Extension:Kartographer] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/16|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W16"/> 23:11, 18 April 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23167004 --> == Tech News: 2022-17 == <section begin="technews-2022-W17"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/17|Translations]] are available. '''Recent changes''' * On [https://noc.wikimedia.org/conf/dblists/group1.dblist many wikis] (group 1), the software to play videos and audio files on pages has now changed. The old player has been removed. Some audio players will become wider after this change. [[mw:Special:MyLanguage/Extension:TimedMediaHandler/VideoJS_Player|The new player]] has been a beta feature for over four years. [https://phabricator.wikimedia.org/T100106][https://phabricator.wikimedia.org/T248418] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.9|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-04-26|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-04-27|en}}. It will be on all wikis from {{#time:j xg|2022-04-28|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-04-26|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s2.dblist targeted wikis]). * Some very old browsers and operating systems are no longer supported. Some things on the wikis might look weird or not work in very old browsers like Internet Explorer 9 or 10, Android 4, or Firefox 38 or older. [https://phabricator.wikimedia.org/T306486] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/17|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W17"/> 22:56, 25 April 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23187115 --> == Tech News: 2022-18 == <section begin="technews-2022-W18"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/18|Translations]] are available. '''Recent changes''' * On [https://noc.wikimedia.org/conf/dblists/group2.dblist all remaining wikis] (group 2), the software to play videos and audio files on pages has now changed. The old player has been removed. Some audio players will become wider after this change. [[mw:Special:MyLanguage/Extension:TimedMediaHandler/VideoJS_Player|The new player]] has been a beta feature for over four years. [https://phabricator.wikimedia.org/T100106][https://phabricator.wikimedia.org/T248418] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.10|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-05-03|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-05-04|en}}. It will be on all wikis from {{#time:j xg|2022-05-05|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). '''Future changes''' * The developers are working on talk pages in the [[mw:Wikimedia Apps/Team/iOS|Wikipedia app for iOS]]. You can [https://wikimedia.qualtrics.com/jfe/form/SV_9GBcHczQGLbQWTY give feedback]. You can take the survey in English, German, Hebrew or Chinese. * [[m:WMDE_Technical_Wishes/VisualEditor_template_dialog_improvements#Status_and_next_steps|Most wikis]] will receive an [[m:WMDE_Technical_Wishes/VisualEditor_template_dialog_improvements|improved template dialog]] in VisualEditor and New Wikitext mode. [https://phabricator.wikimedia.org/T296759] [https://phabricator.wikimedia.org/T306967] * If you use syntax highlighting while editing wikitext, you can soon activate a [[m:WMDE_Technical_Wishes/Improved_Color_Scheme_of_Syntax_Highlighting#Color-blind_mode|colorblind-friendly color scheme]]. [https://phabricator.wikimedia.org/T306867] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Several CSS IDs related to MediaWiki interface messages will be removed. Technical editors should please [[phab:T304363|review the list of IDs and links to their existing uses]]. These include <code dir=ltr>#mw-anon-edit-warning</code>, <code dir=ltr>#mw-undelete-revision</code> and 3 others. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/18|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W18"/> 19:33, 2 May 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23232924 --> == Tech News: 2022-19 == <section begin="technews-2022-W19"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/19|Translations]] are available. '''Recent changes''' * You can now see categories in the [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android|Wikipedia app for Android]]. [https://phabricator.wikimedia.org/T73966] '''Problems''' * Last week, there was a problem with Wikidata's search autocomplete. This has now been fixed. [https://phabricator.wikimedia.org/T307586] * Last week, all wikis had slow access or no access for 20 minutes, for logged-in users and non-cached pages. This was caused by a problem with a database change. [https://phabricator.wikimedia.org/T307647] '''Changes later this week''' * There is no new MediaWiki version this week. [https://phabricator.wikimedia.org/T305217#7894966] * [[m:WMDE Technical Wishes/Geoinformation#Current issues|Incompatibility issues]] with [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] and the [[mw:Special:MyLanguage/Help:Extension:FlaggedRevs|FlaggedRevs extension]] will be fixed: Deployment is planned for May 10 on all wikis. Kartographer will then be enabled on the [[phab:T307348|five wikis which have not yet enabled the extension]] on May 24. * The [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Vector (2022)]] skin will be set as the default on several more wikis, including Arabic and Catalan Wikipedias. Logged-in users will be able to switch back to the old Vector (2010). See the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/2022-04 for the largest wikis|latest update]] about Vector (2022). '''Future meetings''' * The next [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/Talk to Web|open meeting with the Web team]] about Vector (2022) will take place on 17 May. The following meetings are currently planned for: 7 June, 21 June, 5 July, 19 July. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/19|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W19"/> 15:22, 9 May 2022 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23256717 --> == Tech News: 2022-20 == <section begin="technews-2022-W20"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/20|Translations]] are available. '''Changes later this week''' * Some wikis can soon use the [[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|add a link]] feature. This will start on Wednesday. The wikis are {{int:project-localized-name-cawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hiwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ptwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-simplewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-svwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ukwiki/en}}. This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T304542] * The [[mw:Special:MyLanguage/Wikimedia Hackathon 2022|Wikimedia Hackathon 2022]] will take place online on May 20–22. It will be in English. There are also local [[mw:Special:MyLanguage/Wikimedia Hackathon 2022/Meetups|hackathon meetups]] in Germany, Ghana, Greece, India, Nigeria and the United States. Technically interested Wikimedians can work on software projects and learn new skills. You can also host a session or post a project you want to work on. * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.12|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-05-17|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-05-18|en}}. It will be on all wikis from {{#time:j xg|2022-05-19|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). '''Future changes''' * You can soon edit translatable pages in the visual editor. Translatable pages exist on for examples Meta and Commons. [https://diff.wikimedia.org/2022/05/12/mediawiki-1-38-brings-support-for-editing-translatable-pages-with-the-visual-editor/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/20|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W20"/> 18:58, 16 May 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23291515 --> == Tech News: 2022-21 == <section begin="technews-2022-W21"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/21|Translations]] are available. '''Recent changes''' * Administrators using the mobile web interface can now access Special:Block directly from user pages. [https://phabricator.wikimedia.org/T307341] * The <span class="mw-content-ltr" lang="en" dir="ltr">[https://www.wiktionary.org/ www.wiktionary.org]</span> portal page now uses an automated update system. Other [[m:Project_portals|project portals]] will be updated over the next few months. [https://phabricator.wikimedia.org/T304629] '''Problems''' * The Growth team maintains a mentorship program for newcomers. Previously, newcomers weren't able to opt out from the program. Starting May 19, 2022, newcomers are able to fully opt out from Growth mentorship, in case they do not wish to have any mentor at all. [https://phabricator.wikimedia.org/T287915] * Some editors cannot access the content translation tool if they load it by clicking from the contributions menu. This problem is being worked on. It should still work properly if accessed directly via Special:ContentTranslation. [https://phabricator.wikimedia.org/T308802] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.13|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-05-24|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-05-25|en}}. It will be on all wikis from {{#time:j xg|2022-05-26|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Gadget and user scripts developers are invited to give feedback on a [[mw:User:Jdlrobson/Extension:Gadget/Policy|proposed technical policy]] aiming to improve support from MediaWiki developers. [https://phabricator.wikimedia.org/T308686] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/21|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W21"/> 00:21, 24 May 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23317250 --> == Tech News: 2022-22 == <section begin="technews-2022-W22"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/22|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|Advanced item]] In the [[mw:Special:MyLanguage/Extension:AbuseFilter|AbuseFilter]] extension, an <code dir=ltr>ip_in_ranges()</code> function has been introduced to check if an IP is in any of the ranges. Wikis are advised to combine multiple <code dir=ltr>ip_in_range()</code> expressions joined by <code>|</code> into a single expression for better performance. You can use the search function on [[Special:AbuseFilter|Special:AbuseFilter]] to locate its usage. [https://phabricator.wikimedia.org/T305017] * The [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation/IP Info feature|IP Info feature]] which helps abuse fighters access information about IPs, [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation/IP Info feature#May 24, 2022|has been deployed]] to all wikis as a beta feature. This comes after weeks of beta testing on test.wikipedia.org. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.14|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-05-31|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-06-01|en}}. It will be on all wikis from {{#time:j xg|2022-06-02|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-05-31|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s5.dblist targeted wikis]). * The [[mw:Special:MyLanguage/Help:DiscussionTools#New topic tool|New Topic Tool]] will be deployed for all editors at most wikis soon. You will be able to opt out from within the tool and in [[Special:Preferences#mw-prefsection-editing-discussion|Preferences]]. [https://www.mediawiki.org/wiki/Special:MyLanguage/Talk_pages_project/New_discussion][https://phabricator.wikimedia.org/T287804] * [[File:Octicons-tools.svg|15px|link=|Advanced item]] The [[:mw:Special:ApiHelp/query+usercontribs|list=usercontribs API]] will support fetching contributions from an [[mw:Special:MyLanguage/Help:Range blocks#Non-technical explanation|IP range]] soon. API users can set the <code>uciprange</code> parameter to get contributions from any IP range within [[:mw:Manual:$wgRangeContributionsCIDRLimit|the limit]]. [https://phabricator.wikimedia.org/T177150] * A new parser function will be introduced: <bdi lang="zxx" dir="ltr"><code><nowiki>{{=}}</nowiki></code></bdi>. It will replace existing templates named "=". It will insert an [[w:en:Equals sign|equal sign]]. This can be used to escape the equal sign in the parameter values of templates. [https://phabricator.wikimedia.org/T91154] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/22|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W22"/> 20:28, 30 May 2022 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23340178 --> == Tech News: 2022-23 == <section begin="technews-2022-W23"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/23|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.15|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-06-07|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-06-08|en}}. It will be on all wikis from {{#time:j xg|2022-06-09|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] A new <bdi lang="zxx" dir="ltr"><code>str_replace_regexp()</code></bdi> function can be used in [[Special:AbuseFilter|abuse filters]] to replace parts of text using a [[w:en:Regular expression|regular expression]]. [https://phabricator.wikimedia.org/T285468] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/23|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W23"/> 02:46, 7 June 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23366979 --> == Tech News: 2022-24 == <section begin="technews-2022-W24"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/24|Translations]] are available. '''Recent changes''' * All wikis can now use [[mw:Special:MyLanguage/Extension:Kartographer|Kartographer]] maps. Kartographer maps now also work on pages with [[mw:Special:MyLanguage/Help:Pending changes|pending changes]]. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Geoinformation#Project_descriptions][https://phabricator.wikimedia.org/T307348] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.16|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-06-14|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-06-15|en}}. It will be on all wikis from {{#time:j xg|2022-06-16|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-06-14|en}} at 06:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s6.dblist targeted wikis]). [https://phabricator.wikimedia.org/T300471] * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-abwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-acewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-adywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-afwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-akwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-alswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-amwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-anwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-angwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-arcwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-arzwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-astwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-atjwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-avwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-aywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-azwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-azbwiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T304548] * The [[mw:Special:MyLanguage/Help:DiscussionTools#New topic tool|New Topic Tool]] will be deployed for all editors at Commons, Wikidata, and some other wikis soon. You will be able to opt out from within the tool and in [[Special:Preferences#mw-prefsection-editing-discussion|Preferences]]. [https://www.mediawiki.org/wiki/Special:MyLanguage/Talk_pages_project/New_discussion][https://phabricator.wikimedia.org/T287804] '''Future meetings''' * The next [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/Talk to Web|open meeting with the Web team]] about Vector (2022) will take place today (13 June). The following meetings will take place on: 28 June, 12 July, 26 July. '''Future changes''' * By the end of July, the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Vector 2022]] skin should be ready to become the default across all wikis. Discussions on how to adjust it to the communities' needs will begin in the next weeks. It will always be possible to revert to the previous version on an individual basis. [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/2022-04 for the largest wikis|Learn more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/24|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W24"/> 16:58, 13 June 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23389956 --> == Tech News: 2022-25 == <section begin="technews-2022-W25"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/25|Translations]] are available. '''Recent changes''' * The [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android|Wikipedia App for Android]] now has an option for editing the whole page at once, located in the overflow menu (three-dots menu [[File:Ic more vert 36px.svg|15px|link=|alt=]]). [https://phabricator.wikimedia.org/T103622] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Some recent database changes may affect queries using the [[m:Research:Quarry|Quarry tool]]. Queries for <bdi lang="zxx" dir="ltr"><code>site_stats</code></bdi> at English Wikipedia, Commons, and Wikidata will need to be updated. [[phab:T306589|Read more]]. * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] A new <bdi lang="zxx" dir="ltr"><code>user_global_editcount</code></bdi> variable can be used in [[Special:AbuseFilter|abuse filters]] to avoid affecting globally active users. [https://phabricator.wikimedia.org/T130439] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.17|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-06-21|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-06-22|en}}. It will be on all wikis from {{#time:j xg|2022-06-23|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * Users of non-responsive skins (e.g. MonoBook or Vector) on mobile devices may notice a slight change in the default zoom level. This is intended to optimize zooming and ensure all interface elements are present on the page (for example the table of contents on Vector 2022). In the unlikely event this causes any problems with how you use the site, we'd love to understand better, please ping <span class="mw-content-ltr" lang="en" dir="ltr">[[m:User:Jon (WMF)|Jon (WMF)]]</span> to any on-wiki conversations. [https://phabricator.wikimedia.org/T306910] '''Future changes''' * The Beta Feature for [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] will be updated throughout July. Discussions will look different. You can see [[mw:Special:MyLanguage/Talk pages project/Usability/Prototype|some of the proposed changes]]. * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Parsoid's HTML output will soon stop annotating file links with different <bdi lang="zxx" dir="ltr"><code>typeof</code></bdi> attribute values, and instead use <bdi lang="zxx" dir="ltr"><code>mw:File</code></bdi> for all types. Tool authors should adjust any code that expects: <bdi lang="zxx" dir="ltr"><code>mw:Image</code></bdi>, <bdi lang="zxx" dir="ltr"><code>mw:Audio</code></bdi>, or <bdi lang="zxx" dir="ltr"><code>mw:Video</code></bdi>. [https://phabricator.wikimedia.org/T273505] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/25|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W25"/> 20:18, 20 June 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23425855 --> == Tech News: 2022-26 == <section begin="technews-2022-W26"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/26|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] [[m:Special:MyLanguage/Wikimedia Enterprise|Wikimedia Enterprise]] API service now has self-service accounts with free on-demand requests and monthly snapshots ([https://enterprise.wikimedia.com/docs/ API documentation]). Community access [[m:Special:MyLanguage/Wikimedia Enterprise/FAQ#community-access|via database dumps & Wikimedia Cloud Services]] continues. * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] [[d:Special:MyLanguage/Wikidata:Wiktionary#lua|All Wikimedia wikis can now use Wikidata Lexemes in Lua]] after creating local modules and templates. Discussions are welcome [[d:Wikidata_talk:Lexicographical_data#You_can_now_reuse_Wikidata_Lexemes_on_all_wikis|on the project talk page]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.18|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-06-28|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-06-29|en}}. It will be on all wikis from {{#time:j xg|2022-06-30|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-06-28|en}} at 06:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s7.dblist targeted wikis]). [https://phabricator.wikimedia.org/T311033] * Some global and cross-wiki services will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-06-30|en}} at 06:00 UTC. This will impact ContentTranslation, Echo, StructuredDiscussions, Growth experiments and a few more services. [https://phabricator.wikimedia.org/T300472] * Users will be able to sort columns within sortable tables in the mobile skin. [https://phabricator.wikimedia.org/T233340] '''Future meetings''' * The next [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/Talk to Web|open meeting with the Web team]] about Vector (2022) will take place tomorrow (28 June). The following meetings will take place on 12 July and 26 July. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/26|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W26"/> 20:02, 27 June 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23453785 --> == Tech News: 2022-27 == <section begin="technews-2022-W27"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/27|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.19|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-07-05|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-07-06|en}}. It will be on all wikis from {{#time:j xg|2022-07-07|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-07-05|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s6.dblist targeted wikis]) and on {{#time:j xg|2022-07-07|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s4.dblist targeted wikis]). * The Beta Feature for [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] will be updated throughout July. Discussions will look different. You can see [[mw:Special:MyLanguage/Talk pages project/Usability/Prototype|some of the proposed changes]]. * [[File:Octicons-tools.svg|15px|link=|alt=| Advanced item]] This change only affects pages in the main namespace in Wikisource. The Javascript config variable <bdi lang="zxx" dir="ltr"><code>proofreadpage_source_href</code></bdi> will be removed from <bdi lang="zxx" dir="ltr"><code>[[mw:Special:MyLanguage/Manual:Interface/JavaScript#mw.config|mw.config]]</code></bdi> and be replaced with the variable <bdi lang="zxx" dir="ltr"><code>prpSourceIndexPage</code></bdi>. [https://phabricator.wikimedia.org/T309490] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/27|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W27"/> 19:32, 4 July 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23466250 --> == Tech News: 2022-28 == <section begin="technews-2022-W28"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/28|Translations]] are available. '''Recent changes''' * In the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Vector 2022 skin]], the page title is now displayed above the tabs such as Discussion, Read, Edit, View history, or More. [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates#Page title/tabs switch|Learn more]]. [https://phabricator.wikimedia.org/T303549] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] It is now possible to easily view most of the configuration settings that apply to just one wiki, and to compare settings between two wikis if those settings are different. For example: [https://noc.wikimedia.org/wiki.php?wiki=jawiktionary Japanese Wiktionary settings], or [https://noc.wikimedia.org/wiki.php?wiki=eswiki&compare=eowiki settings that are different between the Spanish and Esperanto Wikipedias]. Local communities may want to [[m:Special:MyLanguage/Requesting_wiki_configuration_changes|discuss and propose changes]] to their local settings. Details about each of the named settings can be found by [[mw:Special:Search|searching MediaWiki.org]]. [https://phabricator.wikimedia.org/T308932] *The Anti-Harassment Tools team [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation/IP Info feature#May|recently deployed]] the IP Info Feature as a [[Special:Preferences#mw-prefsection-betafeatures|Beta Feature at all wikis]]. This feature allows abuse fighters to access information about IP addresses. Please check our update on [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation/IP Info feature#April|how to find and use the tool]]. Please share your feedback using a link you will be given within the tool itself. '''Changes later this week''' * There is no new MediaWiki version this week. * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-07-12|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s3.dblist targeted wikis]). '''Future changes''' * The Beta Feature for [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] will be updated throughout July. Discussions will look different. You can see [[mw:Special:MyLanguage/Talk pages project/Usability/Prototype|some of the proposed changes]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/28|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W28"/> 19:24, 11 July 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23502519 --> == Tech News: 2022-29 == <section begin="technews-2022-W29"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/29|Translations]] are available. '''Problems''' * The feature on mobile web for [[mw:Special:MyLanguage/Extension:NearbyPages|Nearby Pages]] was missing last week. It will be fixed this week. [https://phabricator.wikimedia.org/T312864] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.21|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-07-19|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-07-20|en}}. It will be on all wikis from {{#time:j xg|2022-07-21|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). '''Future changes''' * The [[mw:Technical_decision_making/Forum|Technical Decision Forum]] is seeking [[mw:Technical_decision_making/Community_representation|community representatives]]. You can apply on wiki or by emailing <span class="mw-content-ltr" lang="en" dir="ltr">TDFSupport@wikimedia.org</span> before 12 August. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/29|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W29"/> 22:59, 18 July 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23517957 --> == Tech News: 2022-30 == <section begin="technews-2022-W30"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/30|Translations]] are available. '''Recent changes''' * The <span class="mw-content-ltr" lang="en" dir="ltr">[https://www.wikibooks.org/ www.wikibooks.org]</span> and <span class="mw-content-ltr" lang="en" dir="ltr">[https://www.wikiquote.org/ www.wikiquote.org]</span> portal pages now use an automated update system. Other [[m:Project_portals|project portals]] will be updated over the next few months. [https://phabricator.wikimedia.org/T273179] '''Problems''' * Last week, some wikis were in read-only mode for a few minutes because of an emergency switch of their main database ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s7.dblist targeted wikis]). [https://phabricator.wikimedia.org/T313383] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.22|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-07-26|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-07-27|en}}. It will be on all wikis from {{#time:j xg|2022-07-28|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * The external link icon will change slightly in the skins Vector legacy and Vector 2022. The new icon uses simpler shapes to be more recognizable on low-fidelity screens. [https://phabricator.wikimedia.org/T261391] * Administrators will now see buttons on user pages for "{{int:changeblockip}}" and "{{int:unblockip}}" instead of just "{{int:blockip}}" if the user is already blocked. [https://phabricator.wikimedia.org/T308570] '''Future meetings''' * The next [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/Talk to Web|open meeting with the Web team]] about Vector (2022) will take place tomorrow (26 July). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/30|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W30"/> 19:27, 25 July 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23545370 --> == Tech News: 2022-31 == <section begin="technews-2022-W31"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/31|Translations]] are available. '''Recent changes''' * Improved [[m:Special:MyLanguage/Help:Displaying_a_formula#Phantom|LaTeX capabilities for math rendering]] are now available in the wikis thanks to supporting <bdi lang="zxx" dir="ltr"><code>Phantom</code></bdi> tags. This completes part of [[m:Community_Wishlist_Survey_2022/Editing/Missing_LaTeX_capabilities_for_math_rendering|the #59 wish]] of the 2022 Community Wishlist Survey. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.23|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-08-02|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-08-03|en}}. It will be on all wikis from {{#time:j xg|2022-08-04|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * The [[mw:Special:MyLanguage/Help:Extension:WikiEditor/Realtime_Preview|Realtime Preview]] will be available as a Beta Feature on wikis in [https://noc.wikimedia.org/conf/highlight.php?file=dblists%2Fgroup0.dblist Group 0]. This feature was built in order to fulfill [[m:Special:MyLanguage/Community_Wishlist_Survey_2021/Real_Time_Preview_for_Wikitext|one of the Community Wishlist Survey proposals]]. '''Future changes''' * The Beta Feature for [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] will be updated throughout August. Discussions will look different. You can see [[mw:Special:MyLanguage/Talk pages project/Usability/Prototype|some of the proposed changes]]. '''Future meetings''' * This week, three meetings about [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Vector (2022)]] with live interpretation will take place. On Tuesday, interpretation in Russian will be provided. On Thursday, meetings for Arabic and Spanish speakers will take place. [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/Talk to Web|See how to join]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/31|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W31"/> 21:21, 1 August 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23615613 --> == Tech News: 2022-32 == <section begin="technews-2022-W32"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/32|Translations]] are available. '''Recent changes''' * [[:m:Special:MyLanguage/Meta:GUS2Wiki/Script|GUS2Wiki]] copies the information from [[{{#special:GadgetUsage}}]] to an on-wiki page so you can review its history. If your project isn't already listed on the [[d:Q113143828|Wikidata entry for Project:GUS2Wiki]] you can either run GUS2Wiki yourself or [[:m:Special:MyLanguage/Meta:GUS2Wiki/Script#Opting|make a request to receive updates]]. [https://phabricator.wikimedia.org/T121049] '''Changes later this week''' * There is no new MediaWiki version this week. * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-08-09|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s5.dblist targeted wikis]) and on {{#time:j xg|2022-08-11|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s2.dblist targeted wikis]). '''Future meetings''' * The [[wmania:Special:MyLanguage/Hackathon|Wikimania Hackathon]] will take place online from August 12–14. Don't miss [[wmania:Special:MyLanguage/Hackathon/Schedule|the pre-hacking showcase]] to learn about projects and find collaborators. Anyone can [[phab:/project/board/6030/|propose a project]] or [[wmania:Special:MyLanguage/Hackathon/Schedule|host a session]]. [[wmania:Special:MyLanguage/Hackathon/Newcomers|Newcomers are welcome]]! '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/32|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W32"/> 19:50, 8 August 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23627807 --> == Tech News: 2022-33 == <section begin="technews-2022-W33"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/33|Translations]] are available. '''Recent changes''' * The Persian (Farsi) Wikipedia community decided to block IP editing from October 2021 to April 2022. The Wikimedia Foundation's Product Analytics team tracked the impact of this change. [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation/IP Editing Restriction Study/Farsi Wikipedia|An impact report]] is now available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.25|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-08-16|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-08-17|en}}. It will be on all wikis from {{#time:j xg|2022-08-18|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-08-16|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s1.dblist targeted wikis]) and on {{#time:j xg|2022-08-18|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s8.dblist targeted wikis]). * The [[mw:Special:MyLanguage/Help:Extension:WikiEditor/Realtime_Preview|Realtime Preview]] will be available as a Beta Feature on wikis in [https://noc.wikimedia.org/conf/highlight.php?file=dblists%2Fgroup1.dblist Group 1]. This feature was built in order to fulfill [[m:Special:MyLanguage/Community_Wishlist_Survey_2021/Real_Time_Preview_for_Wikitext|one of the Community Wishlist Survey proposals]]. '''Future changes''' * The Beta Feature for [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] will be updated throughout August. Discussions will look different. You can see [[mw:Special:MyLanguage/Talk pages project/Usability/Prototype|some of the proposed changes]]. [https://www.mediawiki.org/wiki/Talk_pages_project/Usability#4_August_2022][https://www.mediawiki.org/wiki/Talk_pages_project/Usability#Phase_1:_Topic_containers][https://phabricator.wikimedia.org/T312672] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/33|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W33"/> 21:08, 15 August 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23658001 --> == Tech News: 2022-34 == <section begin="technews-2022-W34"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/34|Translations]] are available. '''Recent changes''' * Two problems with [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] maps have been fixed. Maps are no longer shown as empty when a geoline was created via VisualEditor. Geolines consisting of points with QIDs (e.g., subway lines) are no longer shown with pushpins. [https://phabricator.wikimedia.org/T292613][https://phabricator.wikimedia.org/T308560] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.26|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-08-23|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-08-24|en}}. It will be on all wikis from {{#time:j xg|2022-08-25|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-08-25|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s4.dblist targeted wikis]). * The colours of links and visited links will change. This is to make the difference between links and other text more clear. [https://phabricator.wikimedia.org/T213778] '''Future changes''' * The new [{{int:discussiontools-topicsubscription-button-subscribe}}] button [[mw:Talk pages project/Notifications#12 August 2022|helps newcomers get answers]]. The Editing team is enabling this tool everywhere. You can turn it off in [[Special:Preferences#mw-prefsection-editing-discussion|your preferences]]. [https://phabricator.wikimedia.org/T284489] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/34|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W34"/> 00:12, 23 August 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23675501 --> == Tech News: 2022-35 == <section begin="technews-2022-W35"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/35|Translations]] are available. '''Recent changes''' * The [[mw:Special:MyLanguage/Help:Extension:WikiEditor/Realtime_Preview|Realtime Preview]] is available as a Beta Feature on wikis in [https://noc.wikimedia.org/conf/highlight.php?file=dblists%2Fgroup2.dblist Group 2]. This feature was built in order to fulfill [[m:Special:MyLanguage/Community_Wishlist_Survey_2021/Real_Time_Preview_for_Wikitext|one of the Community Wishlist Survey proposals]]. Please note that when this Beta feature is enabled, it may cause conflicts with some wiki-specific Gadgets. '''Problems''' * In recent months, there have been inaccurate numbers shown for various [[{{#special:statistics}}]] at Commons, Wikidata, and English Wikipedia. This has now been fixed. [https://phabricator.wikimedia.org/T315693] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.27|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-08-30|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-08-31|en}}. It will be on all wikis from {{#time:j xg|2022-09-01|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-08-30|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s6.dblist targeted wikis]) and on {{#time:j xg|2022-09-01|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s7.dblist targeted wikis]). '''Future changes''' * The Wikimedia Foundation wants to improve how Wikimedia communities report harmful incidents by building the [[m:Special:MyLanguage/Private Incident Reporting System|Private Incident Reporting System (PIRS)]] to make it easy and safe for users to make reports. You can leave comments on the talk page, by answering the [[m:Special:MyLanguage/Private Incident Reporting System#Phase 1|questions provided]]. If you have ever faced a harmful situation that you wanted to report/reported, join a PIRS interview to share your experience. To sign up [[m:Special:EmailUser/MAna_(WMF)|please email]] <span class="mw-content-ltr" lang="en" dir="ltr">[[m:User:MAna (WMF)|Madalina Ana]]</span>. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/35|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W35"/> 23:05, 29 August 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23725814 --> == Tech News: 2022-36 == <section begin="technews-2022-W36"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/36|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.39/wmf.28|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-09-06|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-09-07|en}}. It will be on all wikis from {{#time:j xg|2022-09-08|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-09-06|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s1.dblist targeted wikis]) and on {{#time:j xg|2022-09-08|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s3.dblist targeted wikis]). * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] On Special pages that only have one tab, the tab-bar's row will be hidden in the Vector-2022 skin to save space. The row will still show if Gadgets use it. Gadgets that currently append directly to the CSS id of <bdi lang="zxx" dir="ltr"><code>#p-namespaces</code></bdi> should be updated to use the <bdi lang="zxx" dir="ltr"><code>[[mw:ResourceLoader/Core_modules#addPortletLink|mw.util.addPortletLink]]</code></bdi> function instead. Gadgets that style this id should consider also targeting <bdi lang="zxx" dir="ltr"><code>#p-associated-pages</code></bdi>, the new id for this row. [[phab:T316908|Examples are available]]. [https://phabricator.wikimedia.org/T316908][https://phabricator.wikimedia.org/T313409] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/36|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W36"/> 23:22, 5 September 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23757743 --> == Tech News: 2022-37 == <section begin="technews-2022-W37"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/37|Translations]] are available. '''Recent changes''' * The search servers have been upgraded to a new major version. If you notice any issues with searching, please report them on [[phab:project/view/1849/|Phabricator]]. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/message/XPCTYYTN67FVFKN6XOHULJVGUO44J662] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.1|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-09-13|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-09-14|en}}. It will be on all wikis from {{#time:j xg|2022-09-15|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[mw:Special:MyLanguage/Extension:SyntaxHighlight|Syntax highlighting]] is now tracked as an [[mw:Special:MyLanguage/Manual:$wgExpensiveParserFunctionLimit|expensive parser function]]. Only 500 expensive function calls can be used on a single page. Pages that exceed the limit are added to a [[:Category:{{MediaWiki:expensive-parserfunction-category}}|tracking category]]. [https://phabricator.wikimedia.org/T316858] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/37|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W37"/> 01:50, 13 September 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23787318 --> == Tech News: 2022-38 == <section begin="technews-2022-W38"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/38|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Two database fields in the <bdi lang="zxx" dir="ltr"><code><nowiki>templatelinks</nowiki></code></bdi> table are now being dropped: <bdi lang="zxx" dir="ltr"><code><nowiki>tl_namespace</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>tl_title</nowiki></code></bdi>. Any queries that rely on these fields need to be changed to use the new normalization field called <bdi lang="zxx" dir="ltr"><code><nowiki>tl_target_id</nowiki></code></bdi>. See <span class="mw-content-ltr" lang="en" dir="ltr">[[phab:T299417|T299417]]</span> for more information. This is part of [[w:Database normalization|normalization]] of links tables. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/message/U2U6TXIBABU3KDCVUOITIGI5OJ4COBSW/][https://www.mediawiki.org/wiki/User:ASarabadani_(WMF)/Database_for_devs_toolkit/Concepts/Normalization] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.2|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-09-20|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-09-21|en}}. It will be on all wikis from {{#time:j xg|2022-09-22|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * In [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] maps, you can use icons on markers for common points of interest. On Tuesday, the [[mw:Special:MyLanguage/Help:Extension:Kartographer/Icons|previous icon set]] will be updated to [https://de.wikipedia.beta.wmflabs.org/wiki/Hilfe:Extension:Kartographer/Icons version maki 7.2]. That means, around 100 new icons will be available. Additionally, all existing icons were updated for clarity and to make them work better in international contexts. [https://phabricator.wikimedia.org/T302861][https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Geoinformation#Update_maki_icons] '''Future changes''' * In a [[m:Content_Partnerships_Hub/Software/Volunteer_developers_discussion_at_Wikimania_2022|group discussion at Wikimania]], more than 30 people talked about how to make content partnership software in the Wikimedia movement more sustainable. What kind of support is acceptable for volunteer developers? Read the summary and [[m:Talk:Content Partnerships Hub/Software/Volunteer developers discussion at Wikimania 2022|leave your feedback]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/38|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W38"/> <span class="mw-content-ltr" lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</span> 22:16, 19 September 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23826293 --> == Tech News: 2022-39 == <section begin="technews-2022-W39"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/39|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Parsoid clients should be updated to allow for space-separated multi-values in the <bdi lang="en" dir="ltr"><code>rel</code></bdi> attribute of links. Further details are in <bdi lang="en" dir="ltr">[[phab:T315209|T315209]]</bdi>. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.3|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-09-27|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-09-28|en}}. It will be on all wikis from {{#time:j xg|2022-09-29|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[mw:Special:MyLanguage/VisualEditor/Diffs|Visual diffs]] will become available to all users, except at the Wiktionaries and Wikipedias. [https://phabricator.wikimedia.org/T314588] * [[mw:Special:MyLanguage/Help:DiscussionTools#Mobile|Talk pages on the mobile site]] will change at the Arabic, Bangla, Chinese, French, Haitian Creole, Hebrew, Korean, and Vietnamese Wikipedias. They should be easier to use and provide more information. [https://phabricator.wikimedia.org/T318302] [https://www.mediawiki.org/wiki/Talk_pages_project/Mobile] * In the [[mw:Lua/Scripting|{{ns:828}}]] namespace, pages ending with <bdi lang="en" dir="ltr"><code>.json</code></bdi> will be treated as JSON, just like they already are in the {{ns:2}} and {{ns:8}} namespaces. [https://phabricator.wikimedia.org/T144475] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/39|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W39"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:30, 27 September 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23860085 --> == Tech News: 2022-40 == <section begin="technews-2022-W40"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/40|Translations]] are available. '''Recent changes''' * [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] maps can now show geopoints from Wikidata, via QID or SPARQL query. Previously, this was only possible for geoshapes and geolines. [https://phabricator.wikimedia.org/T307695] [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Geoinformation/Geopoints_via_QID] * The [[m:Special:MyLanguage/Coolest_Tool_Award|Coolest Tool Award 2022]] is looking for nominations. You can recommend tools until 12 October. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.4|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-10-04|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-10-05|en}}. It will be on all wikis from {{#time:j xg|2022-10-06|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[mw:Special:MyLanguage/Help:DiscussionTools#Mobile|Talk pages on the mobile site]] will change at the Arabic, Bangla, Chinese, French, Haitian Creole, Hebrew, Korean, and Vietnamese Wikipedias. They should be easier to use and provide more information. (Last week's release was delayed) [https://phabricator.wikimedia.org/T318302] [https://www.mediawiki.org/wiki/Talk_pages_project/Mobile] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] The <bdi lang="zxx" dir="ltr"><code>scribunto-console</code></bdi> API module will require a [[mw:Special:MyLanguage/API:Tokens|CSRF token]]. This module is documented as internal and use of it is not supported. [[phab:T212071|[5]]] * The Vector 2022 skin will become the default across the smallest Wikimedia projects. [[mw:Special:MyLanguage/Reading/Web/Desktop_Improvements#Deployment_plan_and_timeline|Learn more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/40|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W40"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:23, 4 October 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23885489 --> == Tech News: 2022-41 == <section begin="technews-2022-W41"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/41|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.5|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-10-11|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-10-12|en}}. It will be on all wikis from {{#time:j xg|2022-10-13|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * On some wikis, [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] maps in full size view will be able to display nearby articles. After a feedback period, more wikis will follow. [https://phabricator.wikimedia.org/T316782][https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Geoinformation/Nearby_articles] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/41|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W41"/> 14:08, 10 October 2022 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23912412 --> == Tech News: 2022-42 == <section begin="technews-2022-W42"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/42|Translations]] are available. '''Recent changes''' * The recently implemented feature of [[phab:T306883|article thumbnails in Special:Search]] will be limited to Wikipedia projects only. Further details are in [[phab:T320510|T320510]]. [https://www.mediawiki.org/wiki/Special:MyLanguage/Structured_Data_Across_Wikimedia/Search_Improvements] * A bug that caused problems in loading article thumbnails in Special:Search has been fixed. Further details are in [[phab:T320406|T320406]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.6|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-10-18|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-10-19|en}}. It will be on all wikis from {{#time:j xg|2022-10-20|en}} ([[mw:MediaWiki 1.39/Roadmap|calendar]]). * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Lua module authors can use <bdi lang="zxx" dir="ltr"><code>[[mw:Special:MyLanguage/Extension:Scribunto/Lua_reference_manual#mw.loadJsonData|mw.loadJsonData()]]</code></bdi> to load data from JSON pages. [https://phabricator.wikimedia.org/T217500] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Lua module authors can enable <bdi lang="zxx" dir="ltr"><code>[[mw:Special:MyLanguage/Extension:Scribunto/Lua_reference_manual#Strict_library|require( "strict" )]]</code></bdi> to add errors for some possible code problems. This replaces "[[wikidata:Q16748603|Module:No globals]]" on most wikis. [https://phabricator.wikimedia.org/T209310] '''Future changes''' * The [[Special:Preferences#mw-prefsection-betafeatures|Beta Feature]] for [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] will be updated at most wikis. The "{{int:discussiontools-replylink}}" button will look different after this change. [https://phabricator.wikimedia.org/T320683] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/42|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W42"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:46, 17 October 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23943992 --> == Tech News: 2022-43 == <section begin="technews-2022-W43"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/43|Translations]] are available. '''Recent changes''' * There have been some minor visual fixes in Special:Search, regarding audio player alignment and image placeholder height. Further details are in [[phab:T319230|T319230]]. * On Wikipedias, a new [[Special:Preferences#mw-prefsection-searchoptions|preference]] has been added to hide article thumbnails in Special:Search. Full details are in [[phab:T320337|T320337]]. '''Problems''' * Last week, three wikis ({{int:project-localized-name-frwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-jawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ruwiki/en}}) had read-only access for 25 minutes. This was caused by a hardware problem. [https://phabricator.wikimedia.org/T320990] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.7|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-10-25|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-10-26|en}}. It will be on all wikis from {{#time:j xg|2022-10-27|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-10-25|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s5.dblist targeted wikis]) and on {{#time:j xg|2022-10-27|en}} at 7:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s4.dblist targeted wikis]). * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-aswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-banwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-barwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bat smgwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bclwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-be x oldwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bgwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bhwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-biwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bjnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bmwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bpywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-brwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bugwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bxrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-idwiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T304549] * Starting on Wednesday October 26, 2022, the list of mentors will be upgraded [[d:Q14339834 | at wikis where Growth mentorship is available]]. The mentorship system will continue to work as it does now. The signup process [[mw:Special:MyLanguage/Growth/Communities/How to configure the mentors' list#add|will be replaced]], and a new management option will be provided. Also, this change simplifies [[mw:Special:MyLanguage/Growth/Communities/How to configure the mentors' list#create|the creation of mentorship systems at Wikipedias]]. [https://phabricator.wikimedia.org/T314858][https://phabricator.wikimedia.org/T310905][https://www.mediawiki.org/wiki/Special:MyLanguage/Growth/Structured_mentor_list] * Pages with titles that start with a lower-case letter according to Unicode 11 will be renamed or deleted. There is a list of affected pages at <bdi lang="en" dir="ltr">[[m:Unicode 11 case map migration]]</bdi>. More information can be found at [[phab:T292552|T292552]]. * The Vector 2022 skin will become the default across the smallest Wikipedias. [[mw:Special:MyLanguage/Reading/Web/Desktop_Improvements#smallest-1|Learn more]]. '''Future changes''' * The [[mw:Special:MyLanguage/Talk pages project/Replying|Reply tool]] and [[mw:Special:MyLanguage/Talk pages project/New discussion|New Topic tool]] will soon get a [[mw:Special:MyLanguage/VisualEditor/Special characters|special characters menu]]. [https://phabricator.wikimedia.org/T249072] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/43|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W43"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:22, 24 October 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23975411 --> == Tech News: 2022-44 == <section begin="technews-2022-W44"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/44|Translations]] are available. '''Recent changes''' * When using keyboard navigation on a [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] map, the focus will become more visible. [https://phabricator.wikimedia.org/T315997] * In {{#special:RecentChanges}}, you can now hide the log entries for new user creations with the filter for "{{int:rcfilters-filter-newuserlogactions-label}}". [https://phabricator.wikimedia.org/T321155] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.8|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-11-01|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-11-02|en}}. It will be on all wikis from {{#time:j xg|2022-11-03|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * The [[mw:Special:MyLanguage/Help:Extension:Kartographer|maps dialog]] in VisualEditor now has some help texts. [https://phabricator.wikimedia.org/T318818] * It is now possible to select the language of a [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] map in VisualEditor via a dropdown menu. [https://phabricator.wikimedia.org/T318817] * It is now possible to add a caption to a [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] map in VisualEditor. [https://phabricator.wikimedia.org/T318815] * It is now possible to hide the frame of a [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] map in VisualEditor. [https://phabricator.wikimedia.org/T318813] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/44|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W44"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:15, 31 October 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=23977539 --> == Tech News: 2022-45 == <section begin="technews-2022-W45"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/45|Translations]] are available. '''Recent changes''' * An updated version of the [[m:Special:MyLanguage/EventCenter/Registration|Event Registration]] tool is now available for testing at [[testwiki:|testwiki]] and [[test2wiki:| test2wiki]]. The tool provides features for event organizers and participants. Your feedback is welcome at our [[m:Talk:Campaigns/Foundation Product Team/Registration|project talkpage]]. More information about [[m:Campaigns/Foundation Product Team/Registration|the project]] is available. [https://phabricator.wikimedia.org/T318592] '''Problems''' * Twice last week, for about 45 minutes, some files and thumbnails failed to load and uploads failed, mostly for logged-in users. The cause is being investigated and an incident report will be available soon. '''Changes later this week''' * There is no new MediaWiki version this week. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/45|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W45"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:32, 8 November 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24001035 --> == Tech News: 2022-46 == <section begin="technews-2022-W46"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/46|Translations]] are available. '''Recent changes''' * At Wikidata, an interwiki link can now point to a redirect page if certain conditions are met. This new feature is called [[wikidata:Special:MyLanguage/Wikidata:Sitelinks_to_redirects|sitelinks to redirects]]. It is needed when one wiki uses one page to cover multiple concepts but another wiki uses more pages to cover the same concepts. Your [[wikidata:Special:MyLanguage/Wikidata talk:Sitelinks to redirects|feedback on the talkpage]] of the new proposed guideline is welcome. [https://phabricator.wikimedia.org/T278962] * The <span class="mw-content-ltr" lang="en" dir="ltr">[https://www.wikinews.org/ www.wikinews.org]</span>, <span class="mw-content-ltr" lang="en" dir="ltr">[https://www.wikiversity.org/ www.wikiversity.org]</span>, and <span class="mw-content-ltr" lang="en" dir="ltr">[https://www.wikivoyage.org/ www.wikivoyage.org]</span> portal pages now use an automated update system. [https://phabricator.wikimedia.org/T273179] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.10|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-11-15|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-11-16|en}}. It will be on all wikis from {{#time:j xg|2022-11-17|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * There will be a new link to directly "Edit template data" on Template pages. [https://phabricator.wikimedia.org/T316759] '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Wikis where mobile [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] are enabled ([[mw:Special:MyLanguage/Talk pages project/Deployment Status|these ones]]) will soon use full CSS styling to display any templates that are placed at the top of talk pages. To adapt these “talk page boxes” for narrow mobile devices you can use media queries, such as in [https://en.wikipedia.org/w/index.php?title=Module:Message_box/tmbox.css&oldid=1097618699#L-69 this example]. [https://phabricator.wikimedia.org/T312309] * Starting in January 2023, [[m:Special:MyLanguage/Community Tech|Community Tech]] will be [[m:Special:MyLanguage/Community Wishlist Survey/Updates/2023 Changes Update|running the Community Wishlist Survey (CWS) every two years]]. This means that in 2024, there will be no new proposals or voting. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/46|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W46"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:54, 14 November 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24071290 --> == Tech News: 2022-47 == <section begin="technews-2022-W47"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/47|Translations]] are available. '''Recent changes''' * The display of non-free media in the search bar and for article thumbnails in Special:Search has been deactivated. Further details are in [[phab:T320661|T320661]]. '''Changes later this week''' * There is no new MediaWiki version this week. * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-11-22|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s2.dblist targeted wikis]) and on {{#time:j xg|2022-11-24|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s7.dblist targeted wikis]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/47|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W47"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:22, 21 November 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24071290 --> == Tech News: 2022-48 == <section begin="technews-2022-W48"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/48|Translations]] are available. '''Recent changes''' * A new preference, “Enable limited width mode”, has been added to the [[Special:Preferences#mw-prefsection-rendering|Vector 2022 skin]]. The preference is also available as a toggle on every page if your monitor is 1600 pixels or wider. It allows for increasing the width of the page for logged-out and logged-in users. [https://phabricator.wikimedia.org/T319449] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.12|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-11-29|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-11-30|en}}. It will be on all wikis from {{#time:j xg|2022-12-01|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2022-11-29|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s3.dblist targeted wikis]) and on {{#time:j xg|2022-12-01|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s1.dblist targeted wikis]). * Mathematical formulas shown in SVG image format will no longer have PNG fall-backs for browsers that don't support them. This is part of work to modernise the generation system. Showing only PNG versions was the default option until in February 2018. [https://lists.wikimedia.org/hyperkitty/list/wikimedia-l@lists.wikimedia.org/message/3BGOKWJIZGL4TC4HJ22ICRU2SEPWGCR4/][https://phabricator.wikimedia.org/T311620][https://phabricator.wikimedia.org/T186327] * On [[phab:P40224|some wikis]] that use flagged revisions, [[mw:Special:MyLanguage/Help:Extension:FlaggedRevs#Special:Contributions|a new checkbox will be added]] to Special:Contributions that enables you to see only the [[mw:Special:MyLanguage/Help:Pending changes|pending changes]] by a user. [https://phabricator.wikimedia.org/T321445] '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] How media is structured in the parser's HTML output will change early next week at [https://wikitech.wikimedia.org/wiki/Deployments/Train#Wednesday group1 wikis] (but not Wikimedia Commons or Meta-Wiki). This change improves the accessibility of content, and makes it easier to write related CSS. You may need to update your site-CSS, or userscripts and gadgets. There are [[mw:Special:MyLanguage/Parsoid/Parser_Unification/Media_structure/FAQ|details on what code to check, how to update the code, and where to report any related problems]]. [https://phabricator.wikimedia.org/T314318] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/48|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W48"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:03, 28 November 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24114342 --> == Tech News: 2022-49 == <section begin="technews-2022-W49"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/49|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] The Wikisources use a tool called ProofreadPage. ProofreadPage uses OpenSeadragon which is an open source tool. The OpenSeadragon JavaScript API has been significantly re-written to support dynamically loading images. The functionality provided by the older version of the API should still work but it is no longer supported. User scripts and gadgets should migrate over to the newer version of the API. The functionality provided by the newer version of the API is [[mw:Extension:Proofread_Page/Page_viewer#JS_API|documented on MediaWiki]]. [https://phabricator.wikimedia.org/T308098][https://www.mediawiki.org/wiki/Extension:Proofread_Page/Edit-in-Sequence] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.13|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-12-06|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-12-07|en}}. It will be on all wikis from {{#time:j xg|2022-12-08|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/49|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W49"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:41, 6 December 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24151590 --> == Tech News: 2022-50 == <section begin="technews-2022-W50"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/50|Translations]] are available. '''Recent changes''' * An [[mw:Special:MyLanguage/Talk pages project/Mobile|A/B test has begun]] at 15 Wikipedias for [[mw:Special:MyLanguage/Help:DiscussionTools#Mobile|DiscussionTools on mobile]]. Half of the editors on the [[mw:Reading/Web/Mobile|mobile web site]] will have access to the {{int:discussiontools-replybutton}} tool and other features. [https://phabricator.wikimedia.org/T321961] * The character <code>=</code> cannot be used in new usernames, to make usernames work better with templates. Existing usernames are not affected. [https://phabricator.wikimedia.org/T254045] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.14|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2022-12-13|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2022-12-14|en}}. It will be on all wikis from {{#time:j xg|2022-12-15|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] The HTML markup used by [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] to [[mw:Special:MyLanguage/Talk_pages_project/Usability#Phase_1:_Topic_containers|show discussion metadata below section headings]] will be inserted after these headings, not inside of them. This change improves the accessibility of discussion pages for screen reader software. [https://phabricator.wikimedia.org/T314714] '''Events''' * The fourth edition of the [[m:Special:MyLanguage/Coolest_Tool_Award|Coolest Tool Award]] will happen online on [https://zonestamp.toolforge.org/1671210002 Friday 16 December 2022 at 17:00 UTC]! The event will be live-streamed on YouTube in the [https://www.youtube.com/user/watchmediawiki MediaWiki channel] and added to Commons afterwards. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/50|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W50"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:34, 12 December 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24216570 --> == Tech News: 2022-51 == <section begin="technews-2022-W51"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2022/51|Translations]] are available. '''Tech News''' * Because of the [[w:en:Christmas and holiday season|holidays]] the next issue of Tech News will be sent out on 9 January 2023. '''Recent changes''' * On a user's contributions page, you can filter it for edits with a tag like 'reverted'. Now, you can also filter for all edits that are not tagged like that. This was part of a Community Wishlist 2022 request. [https://phabricator.wikimedia.org/T119072] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] A new function has been used for gadget developers to add content underneath the title on article pages. This is considered a stable API that should work across all skins. [[mw:Special:MyLanguage/ResourceLoader/Core_modules#addSubtitle|Documentation is available]]. [https://phabricator.wikimedia.org/T316830] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] [[test2wiki:|One of our test wikis]] is now being served from a new infrastructure powered by [[w:Kubernetes|Kubernetes]] ([[wikitech:MediaWiki On Kubernetes|read more]]). More Wikis will switch to this new infrastructure in early 2023. Please test and let us know of any issues. [https://phabricator.wikimedia.org/T290536] '''Problems''' * Last week, all wikis had no edit access for 9 minutes. This was caused by a database problem. [https://wikitech.wikimedia.org/wiki/Incidents/2022-12-13_sessionstore] '''Changes later this week''' * There is no new MediaWiki version this week or next week. * The word "{{int:discussiontools-replybutton}}" is very short in some languages, such as Arabic ("<bdi lang="ar">ردّ</bdi>"). This makes the {{int:discussiontools-preference-label}} button on talk pages difficult to use. An arrow icon will be added to those languages. This will only be visible to editors who have the [[Special:Preferences#mw-prefsection-betafeatures|Beta Feature]] turned on. [https://www.mediawiki.org/wiki/Talk_pages_project/Usability#Status] [https://phabricator.wikimedia.org/T323537] '''Future changes''' * Edits can be automatically "tagged" by the system software or the {{int:Abusefilter}} system. Those tags link to a help page about the tags. Soon they will also link to Recent Changes to let you see other edits tagged this way. This was a Community Wishlist 2022 request. [https://phabricator.wikimedia.org/T301063] * The Trust & Safety tools team [[m:Special:MyLanguage/Private Incident Reporting System/Timeline and Updates|have shared new plans]] for building the Private Incident Reporting System. The system will make it easier for editors to ask for help if they are harassed or abused. * [[m:Special:MyLanguage/Community Wishlist Survey 2021/Real Time Preview for Wikitext|Realtime Preview for Wikitext]] is coming out of beta as an enabled feature for every user of the 2010 Wikitext [[mw:Special:MyLanguage/Editor|editor]] in the week of January 9, 2023. It will be available to use via the toolbar in the 2010 Wikitext editor. The feature was the 4th most popular wish of the Community Wishlist Survey 2021. '''Events''' * You can now [[mw:Special:MyLanguage/Wikimedia Hackathon 2023/Participate|register for the Wikimedia Hackathon 2023]], taking place on May 19–21 in Athens, Greece. You can also apply for a scholarship until January 14th. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2022/51|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2022-W51"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:00, 20 December 2022 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24258101 --> == Tech News: 2023-02 == <section begin="technews-2023-W02"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/02|Translations]] are available. '''Recent changes''' * You can use tags to filter edits in the recent changes feed or on your watchlist. You can now use tags to filter out edits you don't want to see. Previously you could only use tags to focus on the edits with those tags. [https://phabricator.wikimedia.org/T174349] * [[Special:WhatLinksHere|Special:WhatLinksHere]] shows all pages that link to a specific page. There is now a [https://wlh.toolforge.org prototype] for how to sort those pages alphabetically. You can see the discussion in the [[phab:T4306|Phabricator ticket]]. * You can now use the [[mw:Special:MyLanguage/Extension:Thanks|thanks]] function on your watchlist and the user contribution page. [https://phabricator.wikimedia.org/T51541] * A wiki page can be moved to give it a new name. You can now get a dropdown menu with common reasons when you move a page. This is so you don't have to write the explanation every time. [https://phabricator.wikimedia.org/T325257] * [[m:Special:MyLanguage/Matrix.org|Matrix]] is a chat tool. You can now use <code>matrix:</code> to create Matrix links on wiki pages. [https://phabricator.wikimedia.org/T326021] * You can filter out translations when you look at the recent changes on multilingual wikis. This didn't hide translation pages. You can now also hide subpages which are translation pages. [https://phabricator.wikimedia.org/T233493] '''Changes later this week''' * [[m:Special:MyLanguage/Real Time Preview for Wikitext|Realtime preview for wikitext]] is a tool which lets editors preview the page when they edit wikitext. It will be enabled for all users of the 2010 wikitext editor. You will find it in the editor toolbar. * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] Some wikis will be in read-only for a few minutes because of a switch of their main database. It will be performed on {{#time:j xg|2023-01-10|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s5.dblist targeted wikis]) and on {{#time:j xg|2023-01-12|en}} at 07:00 UTC ([https://noc.wikimedia.org/conf/highlight.php?file=dblists/s6.dblist targeted wikis]). * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.18|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-01-10|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-01-11|en}}. It will be on all wikis from {{#time:j xg|2023-01-12|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/02|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W02"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:07, 10 January 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24342971 --> == Tech News: 2023-03 == <section begin="technews-2023-W03"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/03|Translations]] are available. '''Problems''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] The URLs in "{{int:last}}" links on page history now contain <bdi lang="zxx" dir="ltr"><code><nowiki>diff=prev&oldid=[revision ID]</nowiki></code></bdi> in place of <bdi lang="zxx" dir="ltr"><code><nowiki>diff=[revision ID]&oldid=[revision ID]</nowiki></code></bdi>. This is to fix a problem with links pointing to incorrect diffs when history was filtered by a tag. Some user scripts may break as a result of this change. [https://phabricator.wikimedia.org/T243569] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.19|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-01-17|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-01-18|en}}. It will be on all wikis from {{#time:j xg|2023-01-19|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * Some [[mw:Special:MyLanguage/Talk pages project/Usability|changes to the appearance of talk pages]] have only been available on <code>{{ns:1}}:</code> and <code>{{ns:3}}:</code> namespaces. These will be extended to other talk namespaces, such as <code>{{ns:5}}:</code>. They will continue to be unavailable in non-talk namespaces, including <code>{{ns:4}}:</code> pages (e.g., at the Village Pump). You can [[Special:Preferences#mw-prefsection-editing-discussion|change your preferences]] ([[Special:Preferences#mw-prefsection-betafeatures|beta feature]]). [https://phabricator.wikimedia.org/T325417] *On Wikisources, when an image is zoomed or panned in the Page: namespace, the same zoom and pan settings will be remembered for all Page: namespace pages that are linked to a particular Index: namespace page. [https://gerrit.wikimedia.org/r/c/mediawiki/extensions/ProofreadPage/+/868841] * The Vector 2022 skin will become the default for the English Wikipedia desktop users. The change will take place on January 18 at 15:00 UTC. [[:en:w:Wikipedia:Vector 2022|Learn more]]. '''Future changes''' * The 2023 edition of the [[m:Special:MyLanguage/Community Wishlist Survey 2023|Community Wishlist Survey]], which invites contributors to make technical proposals and vote for tools and improvements, starts next week on 23 January 2023 at 18:00 UTC. You can start drafting your proposals in [[m:Community Wishlist Survey/Sandbox|the CWS sandbox]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/03|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W03"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:10, 17 January 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24381020 --> == Tech News: 2023-04 == <section begin="technews-2023-W04"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/04|Translations]] are available. '''Problems''' * Last week, for ~15 minutes, all wikis were unreachable for logged-in users and non-cached pages. This was caused by a timing issue. [https://wikitech.wikimedia.org/wiki/Incidents/2023-01-17_MediaWiki] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.20|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-01-24|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-01-25|en}}. It will be on all wikis from {{#time:j xg|2023-01-26|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * If you have the Beta Feature for [[mw:Special:MyLanguage/Talk pages project|DiscussionTools]] enabled, the appearance of talk pages will add more information about discussion activity. [https://www.mediawiki.org/wiki/Special:MyLanguage/Talk_pages_project/Usability#Status][https://phabricator.wikimedia.org/T317907] * The 2023 edition of the [[m:Special:MyLanguage/Community Wishlist Survey 2023|Community Wishlist Survey]] (CWS), which invites contributors to make technical proposals and vote for tools and improvements, starts on Monday 23 January 2023 at [https://zonestamp.toolforge.org/1674496814 18:00 UTC]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/04|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W04"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:46, 23 January 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24418874 --> == Tech News: 2023-05 == <section begin="technews-2023-W05"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/05|Translations]] are available. '''Problems''' * Last week, for ~15 minutes, some users were unable to log in or edit pages. This was caused by a problem with session storage. [https://wikitech.wikimedia.org/wiki/Incidents/2023-01-24_sessionstore_quorum_issues] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.21|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-01-31|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-02-01|en}}. It will be on all wikis from {{#time:j xg|2023-02-02|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Wikis that use localized numbering schemes for references need to add new CSS. This will help to show citation numbers the same way in all reading and editing modes. If your wiki would prefer to do it yourselves, please see the [[mw:Special:MyLanguage/Parsoid/Parser Unification/Cite CSS|details and example CSS to copy from]], and also add your wiki to the list. Otherwise, the developers will directly help out starting the week of February 5. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/05|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W05"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:05, 31 January 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24455949 --> == Tech News: 2023-06 == <section begin="technews-2023-W06"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/06|Translations]] are available. '''Recent changes''' * In the [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements|Vector 2022 skin]], logged-out users using the full-width toggle will be able to see the setting of their choice even after refreshing pages or opening new ones. This only applies to wikis where Vector 2022 is the default. [https://phabricator.wikimedia.org/T321498] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.22|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-02-07|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-02-08|en}}. It will be on all wikis from {{#time:j xg|2023-02-09|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * Previously, we announced when some wikis would be in read-only for a few minutes because of a switch of their main database. These switches will not be announced any more, as the read-only time has become non-significant. Switches will continue to happen at 7AM UTC on Tuesdays and Thursdays. [https://phabricator.wikimedia.org/T292543#8568433] * Across all the wikis, in the Vector 2022 skin, logged-in users will see the page-related links such as "What links here" in a [[mw:Special:MyLanguage/Reading/Web/Desktop_Improvements/Features/Page_tools|new side menu]]. It will be displayed on the other side of the screen. This change had previously been made on Czech, English, and Vietnamese Wikipedias. [https://phabricator.wikimedia.org/T328692] *[[m:Special:MyLanguage/Community Wishlist Survey 2023|Community Wishlist Survey 2023]] will stop receiving new proposals on [https://zonestamp.toolforge.org/1675706431 Monday, 6 February 2023, at 18:00 UTC]. Proposers should complete any edits by then, to give time for [[m:Special:MyLanguage/Community_Wishlist_Survey/Help_us|translations]] and review. Voting will begin on Friday, 10 February. '''Future changes''' * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] Gadgets and user scripts will be changing to load on desktop and mobile sites. Previously they would only load on the desktop site. It is recommended that wiki administrators audit the [[MediaWiki:Gadgets-definition|gadget definitions]] prior to this change, and add <bdi lang="zxx" dir="ltr"><code>skins=…</code></bdi> for any gadgets which should not load on mobile. [https://phabricator.wikimedia.org/T328610 More details are available]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/06|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W06"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 10:21, 6 February 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24491749 --> == Tech News: 2023-07 == <section begin="technews-2023-W07"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/07|Translations]] are available. '''Problems''' * On wikis where patrolled edits are enabled, changes made to the [[mw:Special:MyLanguage/Growth/Communities/How to configure the mentors' list|mentor list]] by autopatrolled mentors are not correctly marked as patrolled. It will be fixed later this week. [https://phabricator.wikimedia.org/T328444] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.23|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-02-14|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-02-15|en}}. It will be on all wikis from {{#time:j xg|2023-02-16|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * The Reply tool and other parts of [[mw:Special:MyLanguage/Help:DiscussionTools#Mobile|DiscussionTools]] will be deployed for all editors using the mobile site. You can [[mw:Special:MyLanguage/Talk_pages_project/Mobile#Status_Updates|read more about this decision]]. [https://phabricator.wikimedia.org/T298060] '''Future changes''' * All wikis will be read-only for a few minutes on March 1. This is planned for [https://zonestamp.toolforge.org/1677679222 14:00 UTC]. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T328287][https://phabricator.wikimedia.org/T327920][https://wikitech.wikimedia.org/wiki/Deployments] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/07|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W07"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:48, 14 February 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24540832 --> == Tech News: 2023-08 == <section begin="technews-2023-W08"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/08|Translations]] are available. '''Problems''' * Last week, during planned maintenance of Cloud Services, unforeseen complications forced the team to turn off all tools for 2–3 hours to prevent data corruption. Work is ongoing to prevent similar problems in the future. [https://phabricator.wikimedia.org/T329535] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.23|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-02-21|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-02-22|en}}. It will be on all wikis from {{#time:j xg|2023-02-23|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). *The voting phase for the [[m:Special:MyLanguage/Community Wishlist Survey 2023|Community Wishlist Survey 2023]] ends on [https://zonestamp.toolforge.org/1677261621 24 February at 18:00 UTC]. The results of the survey will be announced on 28 February. '''Future changes''' * All wikis will be read-only for a few minutes on March 1. This is planned for [https://zonestamp.toolforge.org/1677679222 14:00 UTC]. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T328287][https://phabricator.wikimedia.org/T327920][https://wikitech.wikimedia.org/wiki/Deployments] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/08|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W08"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:57, 21 February 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24570514 --> == Tech News: 2023-09 == <section begin="technews-2023-W09"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/09|Translations]] are available. '''Problems''' * Last week, in some areas of the world, there were problems with loading pages for 20 minutes and saving edits for 55 minutes. These issues were caused by a problem with our caching servers due to unforseen events during a routine maintenance task. [https://wikitech.wikimedia.org/wiki/Incidents/2023-02-22_wiki_outage][https://wikitech.wikimedia.org/wiki/Incidents/2023-02-22_read_only] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.25|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-02-28|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-03-01|en}}. It will be on all wikis from {{#time:j xg|2023-03-02|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * All wikis will be read-only for a few minutes on March 1. This is planned for [https://zonestamp.toolforge.org/1677679222 14:00 UTC]. [https://meta.wikimedia.org/wiki/Special:MyLanguage/Tech/Server_switch] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/09|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W09"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:47, 27 February 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24634242 --> == Tech News: 2023-10 == <section begin="technews-2023-W10"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/10|Translations]] are available. '''Recent changes''' * The Community Wishlist Survey 2023 edition has been concluded. Community Tech has [[m:Special:MyLanguage/Community Wishlist Survey 2023/Results|published the results]] of the survey and will provide an update on what is next in April 2023. * On wikis which use [[mw:Special:MyLanguage/Writing_systems|LanguageConverter]] to handle multiple writing systems, articles which used custom conversion rules in the wikitext (primarily on Chinese Wikipedia) would have these rules applied inconsistently in the table of contents, especially in the Vector 2022 skin. This has now been fixed. [https://phabricator.wikimedia.org/T306862] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.26|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-03-07|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-03-08|en}}. It will be on all wikis from {{#time:j xg|2023-03-09|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * A search system has been added to the [[Special:Preferences|Preferences screen]]. This will let you find different options more easily. Making it work on mobile devices will happen soon. [https://phabricator.wikimedia.org/T313804] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/10|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W10"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:49, 6 March 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24676916 --> == Tech News: 2023-11 == <section begin="technews-2023-W11"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/11|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.40/wmf.27|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-03-14|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-03-15|en}}. It will be on all wikis from {{#time:j xg|2023-03-16|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-cbk_zamwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cdowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cebwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-chwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-chrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-chywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ckbwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-csbwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cuwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cvwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-itwiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T304542][https://phabricator.wikimedia.org/T304550] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/11|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W11"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:20, 13 March 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24700189 --> == Tech News: 2023-12 == <section begin="technews-2023-W12"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/12|Translations]] are available. '''Problems''' * Last week, some users experienced issues loading image thumbnails. This was due to incorrectly cached images. [https://phabricator.wikimedia.org/T331820] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.1|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-03-21|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-03-22|en}}. It will be on all wikis from {{#time:j xg|2023-03-23|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] A link to the user's [[{{#special:CentralAuth}}]] page will appear on [[{{#special:Contributions}}]] — some user scripts which previously added this link may cause conflicts. This feature request was [[:m:Community Wishlist Survey 2023/Admins and patrollers/Add link to CentralAuth on Special:Contributions|voted #17 in the 2023 Community Wishlist Survey]]. * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] The [[{{#special:AbuseFilter}}]] edit window will be resizable and larger by default. This feature request was [[:m:Community Wishlist Survey 2023/Anti-harassment/Make the AbuseFilter edit window resizable and larger by default|voted #80 in the 2023 Community Wishlist Survey]]. * There will be a new option for Administrators when they are unblocking a user, to add the unblocked user’s user page to their watchlist. This will work both via [[{{#special:Unblock}}]] and via the API. [https://phabricator.wikimedia.org/T257662] '''Meetings''' * You can join the next meeting with the Wikipedia mobile apps teams. During the meeting, we will discuss the current features and future roadmap. The meeting will be on [https://zonestamp.toolforge.org/1679677204 24 March at 17:00 (UTC)]. See [[mw:Special:MyLanguage/Wikimedia Apps/Office Hours|details and how to join]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/12|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W12"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:25, 21 March 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24732558 --> == Tech News: 2023-13 == <section begin="technews-2023-W13"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/13|Translations]] are available. '''Recent changes''' * The [[:mw:Special:MyLanguage/Extension:AbuseFilter|AbuseFilter]] condition limit was increased from 1000 to 2000. [https://phabricator.wikimedia.org/T309609] * [[:m:Special:MyLanguage/Global AbuseFilter#Locally disabled actions|Some Global AbuseFilter]] actions will no longer apply to local projects. [https://phabricator.wikimedia.org/T332521] * Desktop users are now able to subscribe to talk pages by clicking on the {{int:discussiontools-newtopicssubscription-button-subscribe-label}} link in the {{int:toolbox}} menu. If you subscribe to a talk page, you receive [[mw:Special:MyLanguage/Notifications|notifications]] when new topics are started on that talk page. This is separate from putting the page on your watchlist or subscribing to a single discussion. [https://phabricator.wikimedia.org/T263821] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.2|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-03-28|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-03-29|en}}. It will be on all wikis from {{#time:j xg|2023-03-30|en}} ([[mw:MediaWiki 1.40/Roadmap|calendar]]). '''Future changes''' * You will be able to choose [[mw:Special:MyLanguage/VisualEditor/Diffs|visual diffs]] on all [[m:Special:MyLanguage/Help:Page history|history pages]] at the Wiktionaries and Wikipedias. [https://phabricator.wikimedia.org/T314588] * [[File:Octicons-tools.svg|15px|link=|alt=|Advanced item]] The legacy [[mw:Mobile Content Service|Mobile Content Service]] is going away in July 2023. Developers are encouraged to switch to Parsoid or another API before then to ensure service continuity. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/4MVQQTONJT7FJAXNVOFV3WWVVMCHRINE/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/13|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W13"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:13, 28 March 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24780854 --> == Tech News: 2023-14 == <section begin="technews-2023-W14"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/14|Translations]] are available. '''Recent changes''' * The system for automatically creating categories for the [[mw:Special:MyLanguage/Extension:Babel|Babel]] extension has had several important changes and fixes. One of them allows you to insert templates for automatic category descriptions on creation, allowing you to categorize the new categories. [https://phabricator.wikimedia.org/T211665][https://phabricator.wikimedia.org/T64714][https://phabricator.wikimedia.org/T170654][https://phabricator.wikimedia.org/T184941][https://phabricator.wikimedia.org/T33074] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.3|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-04-04|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-04-05|en}}. It will be on all wikis from {{#time:j xg|2023-04-06|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Some older [[w:en:Web browser|Web browsers]] will stop being able to use [[w:en:JavaScript|JavaScript]] on Wikimedia wikis from this week. This mainly affects users of Internet Explorer 11. If you have an old web browser on your computer you can try to upgrade to a newer version. [https://phabricator.wikimedia.org/T178356] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The deprecated <bdi lang="zxx" dir="ltr"><code>jquery.hoverIntent</code></bdi> module has been removed. This module could be used by gadgets and user scripts, to create an artificial delay in how JavaScript responds to a hover event. Gadgets and user scripts should now use jQuery <bdi lang="zxx" dir="ltr"><code>hover()</code></bdi> or <bdi lang="zxx" dir="ltr"><code>on()</code></bdi> instead. Examples can be found in the [[mw:Special:MyLanguage/ResourceLoader/Migration_guide_(users)#jquery.hoverIntent|migration guide]]. [https://phabricator.wikimedia.org/T311194] * Some of the links in [[{{#special:SpecialPages}}]] will be re-arranged. There will be a clearer separation between links that relate to all users, and links related to your own user account. [https://phabricator.wikimedia.org/T333242] * You will be able to hide the [[mw:Special:MyLanguage/Talk pages project/Replying|Reply button]] in archived discussion pages with a new <bdi lang="zxx" dir="ltr"><code><nowiki>__ARCHIVEDTALK__</nowiki></code></bdi> magic word. There will also be a new <bdi lang="zxx" dir="ltr"><code>.mw-archivedtalk</code></bdi> CSS class for hiding the Reply button in individual sections on a page. [https://phabricator.wikimedia.org/T249293][https://phabricator.wikimedia.org/T295553][https://gerrit.wikimedia.org/r/c/mediawiki/extensions/DiscussionTools/+/738221] '''Future changes''' * The Vega software that creates data visualizations in pages, such as graphs, will be upgraded to the newest version in the future. Graphs that still use the very old version 1.5 syntax may stop working properly. Most existing uses have been found and updated, but you can help to check, and to update any local documentation. [[phab:T260542|Examples of how to find and fix these graphs are available]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/14|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W14"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:39, 3 April 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24820268 --> == Tech News: 2023-15 == <section begin="technews-2023-W15"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/15|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] In the visual editor, it is now possible to edit captions of images in galleries without opening the gallery dialog. This feature request was [[:m:Community Wishlist Survey 2023/Editing/Editable gallery captions in Visual Editor|voted #61 in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T190224] * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] You can now receive notifications when another user edits your user page. See the "{{int:Echo-category-title-edit-user-page}}" option in [[Special:Preferences#mw-prefsection-echo|your Preferences]]. This feature request was [[:m:Community Wishlist Survey 2023/Anti-harassment/Notifications for user page edits|voted #3 in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T3876] '''Problems''' * There was a problem with all types of CentralNotice banners still being shown to logged-in users even if they had [[Special:Preferences#mw-prefsection-centralnotice-banners|turned off]] specific banner types. This has now been fixed. [https://phabricator.wikimedia.org/T331671] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.4|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-04-11|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-04-12|en}}. It will be on all wikis from {{#time:j xg|2023-04-13|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-arywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-dawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-dinwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-dsbwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-eewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-elwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-emlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-eowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-etwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-euwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-extwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tumwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ffwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-fiwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-fiu_vrowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-fjwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-fowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-frpwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-frrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-furwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-gawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-gcrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-gdwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-glwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-glkwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-gnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-gomwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-gotwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-guwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-gvwiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T304551][https://phabricator.wikimedia.org/T308133] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/15|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W15"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:05, 10 April 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24851886 --> == Tech News: 2023-16 == <section begin="technews-2023-W16"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/16|Translations]] are available. '''Recent changes''' * You can now see [[mw:Special:MyLanguage/Help:Extension:Kartographer#Show_nearby_articles|nearby articles on a Kartographer map]] with the button for the new feature "{{int:Kartographer-sidebar-nearbybutton}}". Six wikis have been testing this feature since October. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/Geoinformation/Nearby_articles#Implementation][https://phabricator.wikimedia.org/T334079] * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] The [[m:Special:GlobalWatchlist|Special:GlobalWatchlist]] page now has links for "{{int:globalwatchlist-markpageseen}}" for each entry. This feature request was [[m:Community Wishlist Survey 2023/Notifications, Watchlists and Talk Pages/Button to mark a single change as read in the global watch list|voted #161 in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T334246] '''Problems''' * At Wikimedia Commons, some thumbnails have not been getting replaced correctly after a new version of the image is uploaded. This should be fixed later this week. [https://phabricator.wikimedia.org/T331138][https://phabricator.wikimedia.org/T333042] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] For the last few weeks, some external tools had inconsistent problems with logging-in with OAuth. This has now been fixed. [https://phabricator.wikimedia.org/T332650] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.5|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-04-18|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-04-19|en}}. It will be on all wikis from {{#time:j xg|2023-04-20|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/16|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W16"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:54, 18 April 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24881071 --> == Tech News: 2023-17 == <section begin="technews-2023-W17"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/17|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] The date-selection menu on pages such as [[{{#special:Contributions}}]] will now show year-ranges that are in the current and past decade, instead of the current and future decade. This feature request was [[m:Community Wishlist Survey 2023/Miscellaneous/Change year range shown in date selection popup|voted #145 in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T334316] '''Problems''' * Due to security issues with the [[mw:Special:MyLanguage/Extension:Graph|Graph extension]], graphs have been disabled in all Wikimedia projects. Wikimedia Foundation teams are working to respond to these vulnerabilities. [https://phabricator.wikimedia.org/T334940] * For a few days, it was not possible to save some kinds of edits on the mobile version of a wiki. This has been fixed. [https://phabricator.wikimedia.org/T334797][https://phabricator.wikimedia.org/T334799][https://phabricator.wikimedia.org/T334794] '''Changes later this week''' * All wikis will be read-only for a few minutes on April 26. This is planned for [https://zonestamp.toolforge.org/1682517653 14:00 UTC]. [https://meta.wikimedia.org/wiki/Special:MyLanguage/Tech/Server_switch] * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.6|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-04-25|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-04-26|en}}. It will be on all wikis from {{#time:j xg|2023-04-27|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''Future changes''' * The Editing team plans an A/B test for [[mw:Special:MyLanguage/Talk pages project/Usability|a usability analysis of the Talk page project]]. The [[mw:Special:MyLanguage/Talk pages project/Usability/Analysis|planned measurements are available]]. Your wiki [[phab:T332946|may be invited to participate]]. Please suggest improvements to the measurement plan at [[mw:Talk:Talk pages project/Usability|the discussion page]]. * [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2023-2024|The Wikimedia Foundation annual plan 2023-2024 draft is open for comment and input]] until May 19. The final plan will be published in July 2023 on Meta-wiki. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/17|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W17"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:03, 24 April 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24933592 --> == Tech News: 2023-18 == <section begin="technews-2023-W18"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/18|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] The content attribution tools [[mw:Special:MyLanguage/Who Wrote That?|Who Wrote That?]], [[xtools:authorship|XTools Authorship]], and [[xtools:blame|XTools Blame]] now support the French and Italian Wikipedias. More languages will be added in the near future. This is part of the [[m:Community Wishlist Survey 2023/Reading/Extend "Who Wrote That?" tool to more wikis|#7 wish in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T243711][https://phabricator.wikimedia.org/T270490][https://phabricator.wikimedia.org/T334891] * The [[:commons:Special:MyLanguage/Commons:Video2commons|Video2commons]] tool has been updated. This fixed several bugs related to YouTube uploads. [https://github.com/toolforge/video2commons/pull/162/commits] * The [[{{#special:Preferences}}]] page has been redesigned on mobile web. The new design makes it easier to browse the different categories and settings at low screen widths. You can also now access the page via a link in the Settings menu in the mobile web sidebar. [https://www.mediawiki.org/wiki/Moderator_Tools/Content_moderation_on_mobile_web/Preferences] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.7|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-05-02|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-05-03|en}}. It will be on all wikis from {{#time:j xg|2023-05-04|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/18|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W18"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:45, 2 May 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24966974 --> == Tech News: 2023-19 == <section begin="technews-2023-W19"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/19|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] Last week, Community Tech released the first update for providing [[m:Special:MyLanguage/Community Wishlist Survey 2022/Better diff handling of paragraph splits|better diffs]], the #1 request in the 2022 Community Wishlist Survey. [[phab:T324759|This update]] adds legends and tooltips to inline diffs so that users unfamiliar with the blue and yellow highlights can better understand the type of edits made. * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] When you close an image that is displayed via MediaViewer, it will now return to the wiki page instead of going back in your browser history. This feature request was [[m:Community Wishlist Survey 2023/Reading/Return to the article when closing the MediaViewer|voted #65 in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T236591] * The [[mw:Special:MyLanguage/Extension:SyntaxHighlight|SyntaxHighlight]] extension now supports <bdi lang="en" dir="ltr"><code>wikitext</code></bdi> as a selected language. Old alternatives that were used to highlight wikitext, such as <bdi lang="en" dir="ltr"><code>html5</code></bdi>, <bdi lang="en" dir="ltr"><code>moin</code></bdi>, and <bdi lang="en" dir="ltr"><code>html+handlebars</code></bdi>, can now be replaced. [https://phabricator.wikimedia.org/T29828] * [[mw:Special:MyLanguage/Manual:Creating pages with preloaded text|Preloading text to new pages/sections]] now supports preloading from localized MediaWiki interface messages. [https://cs.wikipedia.org/wiki/User_talk:Martin_Urbanec_(WMF)?action=edit&section=new&preload=MediaWiki:July Here is an example] at the {{int:project-localized-name-cswiki/en}} that uses <bdi lang="zxx" dir="ltr"><code><nowiki>preload=MediaWiki:July</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T330337] '''Problems''' * Graph Extension update: Foundation developers have completed upgrading the visualization software to Vega5. Existing community graphs based on Vega2 are no longer compatible. Communities need to update local graphs and templates, and shared lua modules like <bdi lang="de" dir="ltr">[[:de:Modul:Graph]]</bdi>. The [https://vega.github.io/vega/docs/porting-guide/ Vega Porting guide] provides the most comprehensive detail on migration from Vega2 and [https://www.mediawiki.org/w/index.php?title=Template:Graph:PageViews&action=history here is an example migration]. Vega5 has currently just been enabled on mediawiki.org to provide a test environment for communities. [https://phabricator.wikimedia.org/T334940#8813922] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.8|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-05-09|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-05-10|en}}. It will be on all wikis from {{#time:j xg|2023-05-11|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Until now, all new OAuth apps went through manual review. Starting this week, apps using identification-only or basic authorizations will not require review. [https://phabricator.wikimedia.org/T67750] '''Future changes''' * During the next year, MediaWiki will stop using IP addresses to identify logged-out users, and will start automatically assigning unique temporary usernames. Read more at [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation/Updates|IP Editing: Privacy Enhancement and Abuse Mitigation/Updates]]. You can [[m:Talk:IP Editing: Privacy Enhancement and Abuse Mitigation#What should it look like?|join the discussion]] about the [[m:Special:MyLanguage/IP Editing: Privacy Enhancement and Abuse Mitigation/Updates#What will temporary usernames look like?|format of the temporary usernames]]. [https://phabricator.wikimedia.org/T332805] * There will be an [[:w:en:A/B testing|A/B test]] on 10 Wikipedias where the Vector 2022 skin is the default skin. Half of logged-in desktop users will see an interface where the different parts of the page are more clearly separated. You can [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Updates/2023-05 Zebra9 A/B test|read more]]. [https://phabricator.wikimedia.org/T333180][https://phabricator.wikimedia.org/T335972] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] <code>jquery.tipsy</code> will be removed from the MediaWiki core. This will affect some user scripts. Many lines with <code>.tipsy(</code> can be commented out. <code>OO.ui.PopupWidget</code> can be used to keep things working like they are now. You can [[phab:T336019|read more]] and [[:mw:Help:Locating broken scripts|read about how to find broken scripts]]. [https://phabricator.wikimedia.org/T336019] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/19|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W19"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:36, 9 May 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=24998636 --> == Tech News: 2023-20 == <section begin="technews-2023-W20"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/20|Translations]] are available. '''Problems''' * Citations that are automatically generated based on [[d:Q33057|ISBN]] are currently broken. This affects citations made with the [[mw:Special:MyLanguage/Help:VisualEditor/User_guide/Citations-Full#Automatic|VisualEditor Automatic tab]], and the use of the citoid API in gadgets and user scripts. Work is ongoing to restore this feature. [https://phabricator.wikimedia.org/T336298] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.9|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-05-16|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-05-17|en}}. It will be on all wikis from {{#time:j xg|2023-05-18|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-gorwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hakwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hawwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hifwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hsbwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-htwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-iawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-iewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-igwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ilowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-inhwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-iowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-iswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-iuwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-jamwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-jvwiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T308134] '''Future changes''' * There is a recently formed team at the Wikimedia Foundation which will be focusing on experimenting with new tools. Currently they are building [[m:Wikimedia_Foundation_Annual_Plan/2023-2024/Draft/Future_Audiences#FA2.2_Conversational_AI|a prototype ChatGPT plugin that allows information generated by ChatGPT to be properly attributed]] to the Wikimedia projects. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Gadget and userscript developers should replace <bdi lang="zxx" dir="ltr"><code>jquery.cookie</code></bdi> with <bdi lang="zxx" dir="ltr"><code>mediawiki.cookie</code></bdi>. The <bdi lang="zxx" dir="ltr"><code>jquery.cookie</code></bdi> library will be removed in ~1 month, and staff developers will run a script to replace any remaining uses at that time. [https://phabricator.wikimedia.org/T336018] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/20|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W20"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:45, 15 May 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25011501 --> == Tech News: 2023-21 == <section begin="technews-2023-W21"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/21|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] The "recent edits" time period for page watchers is now 30 days. It used to be 180 days. This was a [[m:Community Wishlist Survey 2023/Notifications, Watchlists and Talk Pages/Change information about the number of watchers on a page|Community Wishlist Survey proposal]]. [https://phabricator.wikimedia.org/T336250] '''Changes later this week''' * An [[mw:special:MyLanguage/Growth/Positive reinforcement#Impact|improved impact module]] will be available at Wikipedias. The impact module is a feature available to newcomers [[mw:Special:MyLanguage/Growth/Feature summary#Newcomer homepage|at their personal homepage]]. It will show their number of edits, how many readers their edited pages have, how many thanks they have received and similar things. It is also accessible by accessing Special:Impact. [https://phabricator.wikimedia.org/T336203] * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.10|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-05-23|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-05-24|en}}. It will be on all wikis from {{#time:j xg|2023-05-25|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/21|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W21"/> 16:55, 22 May 2023 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25028325 --> == Tech News: 2023-22 == <section begin="technews-2023-W22"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/22|Translations]] are available. '''Recent changes''' * Citations can once again be added automatically from ISBNs, thanks to Zotero's ISBN searches. The current data sources are the Library of Congress (United States), the Bibliothèque nationale de France (French National Library), and K10plus ISBN (German repository). Additional data source searches can be [[mw:Citoid/Creating Zotero translators|proposed to Zotero]]. The ISBN labels in the [[mw:Special:MyLanguage/Help:VisualEditor/User_guide/Citations-Full#Automatic|VisualEditor Automatic tab]] will reappear later this week. [https://phabricator.wikimedia.org/T336298#8859917] * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] The page [[{{#special:EditWatchlist}}]] now has "{{int:watchlistedit-normal-check-all}}" options to select all the pages within a namespace. This feature request was [[m:Community Wishlist Survey 2023/Notifications, Watchlists and Talk Pages/Watchlist edit - "check all" checkbox|voted #161 in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T334252] '''Problems''' * For a few days earlier this month, the "Add interlanguage link" item in the Tools menu did not work properly. This has now been fixed. [https://phabricator.wikimedia.org/T337081] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.11|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-05-30|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-05-31|en}}. It will be on all wikis from {{#time:j xg|2023-06-01|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * VisualEditor will be switched to a new backend on [https://phabricator.wikimedia.org/source/mediawiki-config/browse/master/dblists/small.dblist small] and [https://phabricator.wikimedia.org/source/mediawiki-config/browse/master/dblists/medium.dblist medium] wikis this week. Large wikis will follow in the coming weeks. This is part of the effort to move Parsoid into MediaWiki core. The change should have no noticeable effect on users, but if you experience any slow loading or other strangeness when using VisualEditor, please report it on the phabricator ticket linked here. [https://phabricator.wikimedia.org/T320529] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/22|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W22"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:03, 29 May 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25079963 --> == Tech News: 2023-23 == <section begin="technews-2023-W23"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/23|Translations]] are available. '''Recent changes''' * The [[:mw:Special:MyLanguage/Help:Extension:RealMe|RealMe]] extension allows you to mark URLs on your user page as verified for Mastodon and similar software. * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] Citation and footnote editing can now be started from the reference list when using the visual editor. This feature request was [[m:Community Wishlist Survey 2023/Citations/Allow citations to be edited in the references section with VisualEditor|voted #2 in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T54750] * Previously, clicking on someone else's link to Recent Changes with filters applied within the URL could unintentionally change your preference for "{{int:Rcfilters-group-results-by-page}}". This has now been fixed. [https://phabricator.wikimedia.org/T202916#8874081] '''Problems''' * For a few days last week, some tools and bots returned outdated information due to database replication problems, and may have been down entirely while it was being fixed. These issues have now been fixed. [https://phabricator.wikimedia.org/T337446] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.12|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-06-06|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-06-07|en}}. It will be on all wikis from {{#time:j xg|2023-06-08|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Bots will no longer be prevented from making edits because of URLs that match the [[mw:Special:MyLanguage/Extension:SpamBlacklist|spam blacklist]]. [https://phabricator.wikimedia.org/T313107] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/23|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W23"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:52, 5 June 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25114640 --> == Tech News: 2023-24 == <section begin="technews-2023-W24"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/24|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] The content attribution tools [[mw:Special:MyLanguage/Who Wrote That?|Who Wrote That?]], [[xtools:authorship|XTools Authorship]], and [[xtools:blame|XTools Blame]] now support the Dutch, German, Hungarian, Indonesian, Japanese, Polish and Portuguese Wikipedias. This was the [[m:Community Wishlist Survey 2023/Reading/Extend "Who Wrote That?" tool to more wikis|#7 wish in the 2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T334891] * The [[mw:Special:MyLanguage/Structured Data Across Wikimedia/Search Improvements#Search Preview panel|Search Preview panel]] has been deployed on four Wikipedias (Catalan, Dutch, Hungarian and Norwegian). The panel will show an image related to the article (if existing), the top sections of the article, related images (coming from MediaSearch on Commons), and eventually the sister projects associated with the article. [https://phabricator.wikimedia.org/T306341] * The [[:mw:Special:MyLanguage/Help:Extension:RealMe#Verifying_a_link_on_non-user_pages|RealMe]] extension now allows administrators to verify URLs for any page, for Mastodon and similar software. [https://phabricator.wikimedia.org/T324937] * The default project license [https://lists.wikimedia.org/hyperkitty/list/wikimediaannounce-l@lists.wikimedia.org/thread/7G6XPWZPQFLZ2JANN3ZX6RT4DVUI3HZQ/ has been officially upgraded] to CC BY-SA 4.0. The software interface messages have been updated. Communities should feel free to start updating any mentions of the old CC BY-SA 3.0 licensing within policies and related documentation pages. [https://phabricator.wikimedia.org/T319064] '''Problems''' * For three days last month, some Wikipedia pages edited with VisualEditor or DiscussionTools had an unintended <code><nowiki>__TOC__</nowiki></code> (or its localized form) added during an edit. There is [[mw:Parsoid/Deployments/T336101_followup|a listing of affected pages sorted by wiki]], that may still need to be fixed. [https://phabricator.wikimedia.org/T336101] * Currently, the "{{int:Visualeditor-dialog-meta-categories-defaultsort-label}}" feature in VisualEditor is broken. Existing <code><nowiki>{{DEFAULTSORT:...}}</nowiki></code> keywords incorrectly appear as missing templates in VisualEditor. Developers are exploring how to fix this. In the meantime, those wishing to edit the default sortkey of a page are advised to switch to source editing. [https://phabricator.wikimedia.org/T337398] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Last week, an update to the delete form may have broken some gadgets or user scripts. If you need to manipulate (empty) the reason field, replace <bdi lang="zxx" dir="ltr"><code>#wpReason</code></bdi> with <bdi lang="zxx" dir="ltr" style="white-space: nowrap;"><code>#wpReason > input</code></bdi>. See [https://cs.wikipedia.org/w/index.php?title=MediaWiki%3AGadget-CleanDeleteReasons.js&diff=22859956&oldid=12794189 an example fix]. [https://phabricator.wikimedia.org/T337809] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.13|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-06-13|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-06-14|en}}. It will be on all wikis from {{#time:j xg|2023-06-15|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * VisualEditor will be switched to a new backend on English Wikipedia on Monday, and all other [https://phabricator.wikimedia.org/source/mediawiki-config/browse/master/dblists/large.dblist large] wikis on Thursday. The change should have no noticeable effect on users, but if you experience any slow loading or other strangeness when using VisualEditor, please report it on the phabricator ticket linked here. [https://phabricator.wikimedia.org/T320529] '''Future changes''' * From 5 June to 17 July, the Foundation's [[:mw:Wikimedia Security Team|Security team]] is holding a consultation with contributors regarding a draft policy to govern the use of third-party resources in volunteer-developed gadgets and scripts. Feedback and suggestions are warmly welcome at [[m:Special:MyLanguage/Third-party resources policy|Third-party resources policy]] on meta-wiki. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/24|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W24"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 14:51, 12 June 2023 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25133779 --> == Tech News: 2023-25 == <section begin="technews-2023-W25"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/25|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Flame graphs are now available in WikimediaDebug. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/JXNQD3EHG5V5QW5UXFDPSHQG4MJ3FWJQ/][https://techblog.wikimedia.org/2023/06/08/flame-graphs-arrive-in-wikimediadebug/] '''Changes later this week''' * There is no new MediaWiki version this week. * There is now a toolbar search popup in the visual editor. You can trigger it by typing <code>\</code> or pressing <code>ctrl + shift + p</code>. It can help you quickly access most tools in the editor. [https://commons.wikimedia.org/wiki/File:Visual_editor_toolbar_search_feature.png][https://phabricator.wikimedia.org/T66905] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/25|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W25"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:08, 19 June 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25159510 --> == Tech News: 2023-26 == <section begin="technews-2023-W26"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/26|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The Action API modules and Special:LinkSearch will now add a trailing <bdi lang="zxx" dir="ltr"><code>/</code></bdi> to all <bdi lang="zxx" dir="ltr"><code>prop=extlinks</code></bdi> responses for bare domains. This is part of the work to remove duplication in the <code>externallinks</code> database table. [https://phabricator.wikimedia.org/T337994] '''Problems''' * Last week, search was broken on Commons and Wikidata for 23 hours. [https://phabricator.wikimedia.org/T339810][https://wikitech.wikimedia.org/wiki/Incidents/2023-06-18_search_broken_on_wikidata_and_commons] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.15|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-06-27|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-06-28|en}}. It will be on all wikis from {{#time:j xg|2023-06-29|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The Minerva skin now applies more predefined styles to the <bdi lang="zxx" dir="ltr"><code>.mbox-text</code></bdi> CSS class. This enables support for mbox templates that use divs instead of tables. Please make sure that the new styles won't affect other templates in your wiki. [https://gerrit.wikimedia.org/r/c/mediawiki/skins/MinervaNeue/+/930901/][https://phabricator.wikimedia.org/T339040] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Gadgets will now load on both desktop and mobile by default. Previously, gadgets loaded only on desktop by default. Changing this default using the <bdi lang="zxx" dir="ltr"><code>|targets=</code></bdi> parameter is also deprecated and should not be used. You should make gadgets work on mobile or disable them based on the skin (with the <bdi lang="zxx" dir="ltr"><code>|skins=</code></bdi> parameter in <bdi lang="en" dir="ltr">MediaWiki:Gadgets-definition</bdi>) rather than whether the user uses the mobile or the desktop website. Popular gadgets that create errors on mobile will be disabled by developers on the Minerva skin as a temporary solution. [https://phabricator.wikimedia.org/T127268] * All namespace tabs now have the same browser [[m:Special:MyLanguage/Help:Keyboard_shortcuts|access key]] by default. Previously, custom and extension-defined namespaces would have to have their access keys set manually on-wiki, but that is no longer necessary. [https://phabricator.wikimedia.org/T22126] * The review form of the Flagged Revisions extension now uses the standardized [[mw:Special:MyLanguage/Codex|user interface components]]. [https://phabricator.wikimedia.org/T191156] '''Future changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] How media is structured in the parser's HTML output will change in the coming weeks at [[:wikitech:Deployments/Train#Thursday|group2 wikis]]. This change improves the accessibility of content. You may need to update your site-CSS, or userscripts and gadgets. There are [[mw:Special:MyLanguage/Parsoid/Parser_Unification/Media_structure/FAQ|details on what code to check, how to update the code, and where to report any related problems]]. [https://phabricator.wikimedia.org/T314318] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/26|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W26"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:18, 26 June 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25202311 --> == Tech News: 2023-27 == <section begin="technews-2023-W27"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/27|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] As part of the rolling out of the [[m:Community Wishlist Survey 2022/Multimedia and Commons/Audio links that play on click|audio links that play on click]] wishlist proposal, [https://noc.wikimedia.org/conf/highlight.php?file=dblists/small.dblist small wikis] will now be able to use the [[mw:Special:MyLanguage/Help:Extension:Phonos#Inline audio player mode|inline audio player]] that is implemented by the [[mw:Extension:Phonos|Phonos]] extension. [https://phabricator.wikimedia.org/T336763] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] From this week all gadgets automatically load on mobile and desktop sites. If you see any problems with gadgets on your wikis, please adjust the [[mw:Special:MyLanguage/Extension:Gadgets#Options|gadget options]] in your gadget definitions file. [https://phabricator.wikimedia.org/T328610] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.16|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-07-04|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-07-05|en}}. It will be on all wikis from {{#time:j xg|2023-07-06|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/27|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W27"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:51, 3 July 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25231546 --> == Tech News: 2023-28 == <section begin="technews-2023-W28"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/28|Translations]] are available. '''Recent changes''' * The [[:mw:Special:MyLanguage/Structured Data Across Wikimedia/Section-level Image Suggestions|Section-level Image Suggestions feature]] has been deployed on seven Wikipedias (Portuguese, Russian, Indonesian, Catalan, Hungarian, Finnish and Norwegian Bokmål). The feature recommends images for articles on contributors' watchlists that are a good match for individual sections of those articles. * [[:m:Special:MyLanguage/Global AbuseFilter|Global abuse filters]] have been enabled on all Wikimedia projects, except English and Japanese Wikipedias (who opted out). This change was made following a [[:m:Requests for comment/Make global abuse filters opt-out|global request for comments]]. [https://phabricator.wikimedia.org/T341159] * [[{{#special:BlockedExternalDomains}}]] is a new tool for administrators to help fight spam. It provides a clearer interface for blocking plain domains (and their subdomains), is more easily searchable, and is faster for the software to process for each edit on the wiki. It does not support regex (for complex cases), nor URL path-matching, nor the [[MediaWiki:Spam-whitelist|MediaWiki:Spam-whitelist]], but otherwise it replaces most of the functionalities of the existing [[MediaWiki:Spam-blacklist|MediaWiki:Spam-blacklist]]. There is a Python script to help migrate all simple domains into this tool, and more feature details, within [[mw:Special:MyLanguage/Manual:BlockedExternalDomains|the tool's documentation]]. It is available at all wikis except for Meta-wiki, Commons, and Wikidata. [https://phabricator.wikimedia.org/T337431] * The WikiEditor extension was updated. It includes some of the most frequently used features of wikitext editing. In the past, many of its messages could only be translated by administrators, but now all regular translators on translatewiki can translate them. Please check [https://translatewiki.net/wiki/Special:MessageGroupStats?group=ext-wikieditor&messages=&x=D#sortable:0=asc the state of WikiEditor localization into your language], and if the "Completion" for your language shows anything less than 100%, please complete the translation. See [https://lists.wikimedia.org/hyperkitty/list/wikitech-ambassadors@lists.wikimedia.org/thread/D4YELU2DXMZ75PGELUOKXXMFF3FH45XA/ a more detailed explanation]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.17|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-07-11|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-07-12|en}}. It will be on all wikis from {{#time:j xg|2023-07-13|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * The default protocol of [[{{#special:LinkSearch}}]] and API counterparts has changed from http to both http and https. [https://phabricator.wikimedia.org/T14810] * [[{{#special:LinkSearch}}]] and its API counterparts will now search for all of the URL provided in the query. It used to be only the first 60 characters. This feature was requested fifteen years ago. [https://phabricator.wikimedia.org/T17218] '''Future changes''' * There is an experiment with a [[:w:en:ChatGPT|ChatGPT]] plugin. This is to show users where the information is coming from when they read information from Wikipedia. It has been tested by Wikimedia Foundation staff and other Wikimedians. Soon all ChatGPT plugin users can use the Wikipedia plugin. This is the same plugin which was mentioned in [[m:Special:MyLanguage/Tech/News/2023/20|Tech News 2023/20]]. [https://meta.wikimedia.org/wiki/Wikimedia_Foundation_Annual_Plan/2023-2024/Draft/Future_Audiences#FA2.2_Conversational_AI] * There is an ongoing discussion on a [[m:Special:MyLanguage/Third-party resources policy|proposed Third-party resources policy]]. The proposal will impact the use of third-party resources in gadgets and userscripts. Based on the ideas received so far, policy includes some of the risks related to user scripts and gadgets loading third-party resources, some best practices and exemption requirements such as code transparency and inspectability. Your feedback and suggestions are warmly welcome until July 17, 2023 on [[m:Talk:Third-party resources policy|on the policy talk page]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/28|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W28"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:54, 10 July 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25278797 --> == Tech News: 2023-29 == <section begin="technews-2023-W29"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/29|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] We are now serving 1% of all global user traffic from [[w:en:Kubernetes|Kubernetes]] (you can [[wikitech:MediaWiki On Kubernetes|read more technical details]]). We are planning to increment this percentage regularly. You can [[phab:T290536|follow the progress of this work]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.18|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-07-18|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-07-19|en}}. It will be on all wikis from {{#time:j xg|2023-07-20|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] MediaWiki [[mw:Special:MyLanguage/Help:System_message|system messages]] will now look for available local fallbacks, instead of always using the default fallback defined by software. This means wikis no longer need to override each language on the [[mw:Special:MyLanguage/Manual:Language#Fallback_languages|fallback chain]] separately. For example, English Wikipedia doesn't have to create <bdi lang="zxx" dir="ltr"><code>en-ca</code></bdi> and <bdi lang="zxx" dir="ltr"><code>en-gb</code></bdi> subpages with a transclusion of the base pages anymore. This makes it easier to maintain local overrides. [https://phabricator.wikimedia.org/T229992] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The <bdi lang="zxx" dir="ltr"><code>action=growthsetmentorstatus</code></bdi> API will be deprecated with the new MediaWiki version. Bots or scripts calling that API should use the <bdi lang="zxx" dir="ltr"><code>action=growthmanagementorlist</code></bdi> API now. [https://phabricator.wikimedia.org/T321503] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/29|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W29"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:08, 17 July 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25289122 --> == Tech News: 2023-30 == <section begin="technews-2023-W30"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/30|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] On July 18, the Wikimedia Foundation launched a survey about the [[:mw:Technical_decision_making|technical decision making process]] for people who do technical work that relies on software that is maintained by the Foundation or affiliates. If this applies to you, [https://wikimediafoundation.limesurvey.net/885471 please take part in the survey]. The survey will be open for three weeks, until August 7. You can find more information in [[listarchive:list/wikitech-l@lists.wikimedia.org/thread/Q7DUCFA75DXG3G2KHTO7CEWMLCYTSDB2/|the announcement e-mail on wikitech-l]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.19|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-07-25|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-07-26|en}}. It will be on all wikis from {{#time:j xg|2023-07-27|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/30|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W30"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 02:20, 25 July 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25332248 --> == Tech News: 2023-31 == <section begin="technews-2023-W31"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/31|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The [[mw:Synchronizer|Synchronizer]] tool is now available to keep Lua modules synced across Wikimedia wikis, along with [[mw:Multilingual Templates and Modules|updated documentation]] to develop global Lua modules and templates. * The tag filter on [[{{#special:NewPages}}]] and revision history pages can now be inverted. For example, you can hide edits that were made using an automated tool. [https://phabricator.wikimedia.org/T334337][https://phabricator.wikimedia.org/T334338] * The Wikipedia [[:w:en:ChatGPT|ChatGPT]] plugin experiment can now be used by ChatGPT users who can use plugins. You can participate in a [[:m:Talk:Wikimedia Foundation Annual Plan/2023-2024/Draft/Future Audiences#Announcing monthly Future Audiences open "office hours"|video call]] if you want to talk about this experiment or similar work. [https://meta.wikimedia.org/wiki/Wikimedia_Foundation_Annual_Plan/2023-2024/Draft/Future_Audiences#FA2.2_Conversational_AI] '''Problems''' * It was not possible to generate a PDF for pages with non-Latin characters in the title, for the last two weeks. This has now been fixed. [https://phabricator.wikimedia.org/T342442] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.20|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-08-01|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-08-02|en}}. It will be on all wikis from {{#time:j xg|2023-08-03|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Starting on Tuesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-kawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kaawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kabwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kbdwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kbpwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kiwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kkwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kmwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-knwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kshwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kuwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kwwiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T308135] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/31|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W31"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:54, 31 July 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25362228 --> == Tech News: 2023-32 == <section begin="technews-2023-W32"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/32|Translations]] are available. '''Recent changes''' * Mobile Web editors can now [[mw:Special:MyLanguage/Reading/Web/Advanced_mobile_contributions#August_1,_2023_-_Full-page_editing_added_on_mobile|edit a whole page at once]]. To use this feature, turn on "{{int:Mobile-frontend-mobile-option-amc}}" in your settings and use the "{{int:Minerva-page-actions-editfull}}" button in the "{{int:Minerva-page-actions-overflow}}" menu. [https://phabricator.wikimedia.org/T203151] '''Changes later this week''' * There is no new MediaWiki version this week. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/32|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W32"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:20, 7 August 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25420038 --> == Tech News: 2023-33 == <section begin="technews-2023-W33"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/33|Translations]] are available. '''Recent changes''' * The Content translation system is no longer using Youdao's [[mw:Special:MyLanguage/Help:Content_translation/Translating/Initial_machine_translation|machine translation service]]. The service was in place for several years, but due to no usage, and availability of alternatives, it was deprecated to reduce maintenance overheads. Other services which cover the same languages are still available. [https://phabricator.wikimedia.org/T329137] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.22|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-08-15|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-08-16|en}}. It will be on all wikis from {{#time:j xg|2023-08-17|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-lawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ladwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lbwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lbewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lezwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lfnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lgwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-liwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lijwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lmowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ltgwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lvwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-maiwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-map_bmswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mdfwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mgwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kywiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T308136] <!-- TODO replace wiki codes --> '''Future changes''' * A few gadgets/user scripts which add icons to the Minerva skin need to have their CSS updated. There are more details available including a [[phab:T344067|search for all existing instances and how to update them]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/33|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W33"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 05:59, 15 August 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25428668 --> == Tech News: 2023-34 == <section begin="technews-2023-W34"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/34|Translations]] are available. '''Recent changes''' * The [https://gdrive-to-commons.toolforge.org/ GDrive to Commons Uploader] tool is now available. It enables [[m:Special:MyLanguage/GDrive to Commons Uploader|securely selecting and uploading files]] from your Google Drive directly to Wikimedia Commons. [https://phabricator.wikimedia.org/T267868] * From now on, we will announce new Wikimedia wikis in Tech News, so you can update any tools or pages. ** Since the last edition, two new wikis have been created: *** a Wiktionary in [[d:Q7121294|Pa'O]] ([[wikt:blk:|<code>wikt:blk:</code>]]) [https://phabricator.wikimedia.org/T343540] *** a Wikisource in [[d:Q34002|Sundanese]] ([[s:su:|<code>s:su:</code>]]) [https://phabricator.wikimedia.org/T343539] ** To catch up, the next most recent six wikis are: *** Wikifunctions ([[f:|<code>f:</code>]]) [https://phabricator.wikimedia.org/T275945] *** a Wiktionary in [[d:Q2891049|Mandailing]] ([[wikt:btm:|<code>wikt:btm:</code>]]) [https://phabricator.wikimedia.org/T335216] *** a Wikipedia in [[d:Q5555465|Ghanaian Pidgin]] ([[w:gpe:|<code>w:gpe:</code>]]) [https://phabricator.wikimedia.org/T335969] *** a Wikinews in [[d:Q3111668|Gungbe]] ([[n:guw:|<code>n:guw:</code>]]) [https://phabricator.wikimedia.org/T334394] *** a Wiktionary in [[d:Q33522|Kabardian]] ([[wikt:kbd:|<code>wikt:kbd:</code>]]) [https://phabricator.wikimedia.org/T333266] *** a Wikipedia in [[d:Q35570|Fante]] ([[w:fat:|<code>w:fat:</code>]]) [https://phabricator.wikimedia.org/T335016] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.23|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-08-22|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-08-23|en}}. It will be on all wikis from {{#time:j xg|2023-08-24|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] There is an existing [[mw:Stable interface policy|stable interface policy]] for MediaWiki backend code. There is a [[mw:User:Jdlrobson/Stable interface policy/frontend|proposed stable interface policy for frontend code]]. This is relevant for anyone who works on gadgets or Wikimedia frontend code. You can read it, discuss it, and let the proposer know if there are any problems. [https://phabricator.wikimedia.org/T344079] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/34|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W34"/> 15:25, 21 August 2023 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25497111 --> == Tech News: 2023-35 == <section begin="technews-2023-W35"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/35|Translations]] are available. '''Recent changes''' * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] As part of the changes for the [[m:Community Wishlist Survey 2022/Better diff handling of paragraph splits|better diff handling of paragraph splits]], improved detection of splits is being rolled out. Over the last two weeks, we deployed this support to [[wikitech:Deployments/Train#Groups|group0]] and group1 wikis. This week it will be deployed to group2 wikis. [https://phabricator.wikimedia.org/T341754] * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] All [[{{#special:Contributions}}]] pages now show the user's local edit count and the account's creation date. [https://phabricator.wikimedia.org/T324166] * Wikisource users can now use the <bdi lang="zxx" dir="ltr"><code>prpbengalicurrency</code></bdi> label to denote Bengali currency characters as page numbers inside the <bdi lang="zxx" dir="ltr"><code><nowiki><pagelist></nowiki></code></bdi> tag. [https://phabricator.wikimedia.org/T268932] * Two preferences have been relocated. The preference "{{int:visualeditor-preference-visualeditor}}" is now shown on the [[Special:Preferences#mw-prefsection-editing|"{{int:prefs-editing}}" tab]] at all wikis. Previously it was shown on the "{{int:prefs-betafeatures}}" tab at some wikis. The preference "{{int:visualeditor-preference-newwikitexteditor-enable}}" is now also shown on the "{{int:prefs-editing}}" tab at all wikis, instead of the "{{int:prefs-betafeatures}}" tab. [https://phabricator.wikimedia.org/T335056][https://phabricator.wikimedia.org/T344158] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.24|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-08-29|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-08-30|en}}. It will be on all wikis from {{#time:j xg|2023-08-31|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] New signups for a Wikimedia developer account will start being pushed towards <bdi lang="en" dir="ltr">[https://idm.wikimedia.org/ idm.wikimedia.org]</bdi>, rather than going via Wikitech. [[wikitech:IDM|Further information about the new system is available]]. * All right-to-left language wikis, plus Korean, Armenian, Ukrainian, Russian, and Bulgarian Wikipedias, will have a link in the sidebar that provides a short URL of that page, using the [[m:Special:MyLanguage/Wikimedia URL Shortener|Wikimedia URL Shortener]]. This feature will come to more wikis in future weeks. [https://phabricator.wikimedia.org/T267921] '''Future changes''' * The removal of the [[mw:Special:MyLanguage/Extension:DoubleWiki|DoubleWiki extension]] is being discussed. This extension currently allows Wikisource users to view articles from multiple language versions side by side when the <bdi lang="zxx" dir="ltr"><code><=></code></bdi> symbol next to a specific language edition is selected. Comments on this are welcomed at [[phab:T344544|the phabricator task]]. * A proposal has been made to merge the second hidden-categories list (which appears below the wikitext editing form) with the main list of categories (which is further down the page). [[phab:T340606|More information is available on Phabricator]]; feedback is welcome! '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/35|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W35"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 14:00, 28 August 2023 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25510866 --> == Tech News: 2023-36 == <section begin="technews-2023-W36"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/36|Translations]] are available. '''Recent changes''' * [[m:Wikisource_EditInSequence|EditInSequence]], a feature that allows users to edit pages faster on Wikisource has been moved to a Beta Feature based on community feedback. To enable it, you can navigate to the [[Special:Preferences#mw-prefsection-betafeatures|beta features tab in Preferences]]. [https://phabricator.wikimedia.org/T308098] * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] As part of the changes for the [[m:Special:MyLanguage/Community Wishlist Survey 2022/Generate Audio for IPA|Generate Audio for IPA]] and [[m:Community Wishlist Survey 2022/Multimedia and Commons/Audio links that play on click|Audio links that play on click]] wishlist proposals, the [[mw:Special:MyLanguage/Help:Extension:Phonos#Inline_audio_player_mode|inline audio player mode]] of [[mw:Extension:Phonos|Phonos]] has been deployed to all projects. [https://phabricator.wikimedia.org/T336763] * There is a new option for Administrators when they are changing the usergroups for a user, to add the user’s user page to their watchlist. This works both via [[{{#special:UserRights}}]] and via the API. [https://phabricator.wikimedia.org/T272294] * One new wiki has been created: ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q34318|Talysh]] ([[w:tly:|<code>w:tly:</code>]]) [https://phabricator.wikimedia.org/T345166] '''Problems''' * The [[mw:Special:MyLanguage/Extension:LoginNotify|LoginNotify extension]] was not sending notifications since January. It has now been fixed, so going forward, you may see notifications for failed login attempts, and successful login attempts from a new device. [https://phabricator.wikimedia.org/T344785] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.25|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-09-05|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-09-06|en}}. It will be on all wikis from {{#time:j xg|2023-09-07|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-mhrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-miwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-minwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mkwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mrjwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mtwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mwlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-myvwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mznwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nahwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-napwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ndswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nds_nlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-newiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-newwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-novwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nqowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nrmwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nsowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nvwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ocwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-olowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-omwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-orwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-oswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pagwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pamwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-papwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pcdwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pdcwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pflwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pihwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pmswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pnbwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pntwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pswiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T308137][https://phabricator.wikimedia.org/T308138] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/36|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W36"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:33, 4 September 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25566983 --> == Tech News: 2023-37 == <section begin="technews-2023-W37"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/37|Translations]] are available. '''Recent changes''' * [[mw:Special:MyLanguage/ORES|ORES]], the revision evaluation service, is now using a new open-source infrastructure on all wikis except for English Wikipedia and Wikidata. These two will follow this week. If you notice any unusual results from the Recent Changes filters that are related to ORES (for example, "{{int:ores-rcfilters-damaging-title}}" and "{{int:ores-rcfilters-goodfaith-title}}"), please [[mw:Talk:Machine Learning|report them]]. [https://phabricator.wikimedia.org/T342115] * When you are logged in on one Wikimedia wiki and visit a different Wikimedia wiki, the system tries to log you in there automatically. This has been unreliable for a long time. You can now visit the login page to make the system try extra hard. If you feel that made logging in better or worse than it used to be, your feedback is appreciated. [https://phabricator.wikimedia.org/T326281] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.26|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-09-12|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-09-13|en}}. It will be on all wikis from {{#time:j xg|2023-09-14|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The [[mw:Special:MyLanguage/Technical decision making|Technical Decision-Making Forum Retrospective]] team invites anyone involved in the technical field of Wikimedia projects to signup to and join [[mw:Technical decision making/Listening Sessions|one of their listening sessions]] on 13 September. Another date will be scheduled later. The goal is to improve the technical decision-making processes. * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] As part of the changes for the [[m:Special:MyLanguage/Community Wishlist Survey 2022/Better diff handling of paragraph splits|Better diff handling of paragraph splits]] wishlist proposal, the inline switch widget in diff pages is being rolled out this week to all wikis. The inline switch will allow viewers to toggle between a unified inline or two-column diff wikitext format. [https://phabricator.wikimedia.org/T336716] '''Future changes''' * All wikis will be read-only for a few minutes on 20 September. [[m:Special:MyLanguage/Tech/Server switch|This is planned at 14:00 UTC.]] More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T345263] * The Enterprise API is launching a new feature called "[http://breakingnews-beta.enterprise.wikimedia.com/ breaking news]". Currently in BETA, this attempts to identify likely "newsworthy" topics as they are currently being written about in any Wikipedia. Your help is requested to improve the accuracy of its detection model, especially on smaller language editions, by recommending templates or identifiable editing patterns. See more information at [[mw:Special:MyLanguage/Wikimedia Enterprise/Breaking news|the documentation page]] on MediaWiki or [[m:Special:MyLanguage/Wikimedia Enterprise/FAQ#What is Breaking News|the FAQ]] on Meta. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/37|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W37"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:07, 11 September 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25589064 --> == Tech News: 2023-38 == <section begin="technews-2023-W38"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/38|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] MediaWiki now has a [[mw:Stable interface policy/frontend|stable interface policy for frontend code]] that more clearly defines how we deprecate MediaWiki code and wiki-based code (e.g. gadgets and user scripts). Thank you to everyone who contributed to the content and discussions. [https://phabricator.wikimedia.org/T346467][https://phabricator.wikimedia.org/T344079] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.27|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-09-19|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-09-20|en}}. It will be on all wikis from {{#time:j xg|2023-09-21|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * All wikis will be read-only for a few minutes on September 20. [[m:Special:MyLanguage/Tech/Server switch|This is planned at 14:00 UTC.]] [https://phabricator.wikimedia.org/T345263] * All wikis will have a link in the sidebar that provides a short URL of that page, using the [[m:Special:MyLanguage/Wikimedia URL Shortener|Wikimedia URL Shortener]]. [https://phabricator.wikimedia.org/T267921] '''Future changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The team investigating the Graph Extension posted [[mw:Extension:Graph/Plans#Proposal|a proposal for reenabling it]] and they need your input. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/38|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W38"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:19, 18 September 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25623533 --> == Tech News: 2023-39 == <section begin="technews-2023-W39"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/39|Translations]] are available. '''Recent changes''' * The Vector 2022 skin will now remember the pinned/unpinned status for the Table of Contents for all logged-out users. [https://phabricator.wikimedia.org/T316060] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.28|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-09-26|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-09-27|en}}. It will be on all wikis from {{#time:j xg|2023-09-28|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The ResourceLoader <bdi lang="zxx" dir="ltr"><code><nowiki>mediawiki.ui</nowiki></code></bdi> modules are now deprecated as part of the move to Vue.js and Codex. There is a [[mw:Codex/Migrating_from_MediaWiki_UI|guide for migrating from MediaWiki UI to Codex]] for any tools that use it. More [[phab:T346468|details are available in the task]] and your questions are welcome there. * Gadget definitions will have a [[mw:Special:MyLanguage/Extension:Gadgets#Options|new "namespaces" option]]. The option takes a list of namespace IDs. Gadgets that use this option will only load on pages in the given namespaces. '''Future changes''' * New variables will be added to [[mw:Special:MyLanguage/Extension:AbuseFilter|AbuseFilter]]: <code><bdi lang="zxx" dir="ltr">global_account_groups</bdi></code> and <code><bdi lang="zxx" dir="ltr">global_account_editcount</bdi></code>. They are available only when an account is being created. You can use them to prevent blocking automatic creation of accounts when users with many edits elsewhere visit your wiki for the first time. [https://phabricator.wikimedia.org/T345632][https://www.mediawiki.org/wiki/Special:MyLanguage/Extension:AbuseFilter/Rules_format] '''Meetings''' * You can join the next meeting with the Wikipedia mobile apps teams. During the meeting, we will discuss the current features and future roadmap. The meeting will be on [https://zonestamp.toolforge.org/1698426015 27 October at 17:00 (UTC)]. See [[mw:Special:MyLanguage/Wikimedia_Apps/Office_Hours#October_2023|details and how to join]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/39|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W39"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:51, 26 September 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25655264 --> == Tech News: 2023-40 == <section begin="technews-2023-W40"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/40|Translations]] are available. '''Recent changes''' * There is a new [[Special:Preferences#mw-prefsection-rendering-advancedrendering|user preference]] for "{{int:tog-forcesafemode}}". This setting will make pages load without including any on-wiki JavaScript or on-wiki stylesheet pages. It can be useful for debugging broken JavaScript gadgets. [https://phabricator.wikimedia.org/T342347] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Gadget definitions now have a [[mw:Special:MyLanguage/Extension:Gadgets#Options|new "<var>contentModels</var>" option]]. The option takes a list of page content models, like <code><bdi lang="zxx" dir="ltr">wikitext</bdi></code> or <code><bdi lang="zxx" dir="ltr">css</bdi></code>. Gadgets that use this option will only load on pages with the given content models. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.29|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-10-03|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-10-04|en}}. It will be on all wikis from {{#time:j xg|2023-10-05|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''Future changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The Vector 2022 skin will no longer use the custom styles and scripts of Vector legacy (2010). The change will be made later this year or in early 2024. See [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Features/Loading Vector 2010 scripts|how to adjust the CSS and JS pages on your wiki]]. [https://phabricator.wikimedia.org/T331679] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/40|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W40"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:26, 3 October 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25686930 --> == Tech News: 2023-41 == <section begin="technews-2023-W41"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/41|Translations]] are available. '''Recent changes''' * One new wiki has been created: a {{int:project-localized-name-group-wikipedia}} in [[d:Q33291|Fon]] ([[w:fon:|<code>w:fon:</code>]]) [https://phabricator.wikimedia.org/T347935] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.41/wmf.30|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-10-10|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-10-11|en}}. It will be on all wikis from {{#time:j xg|2023-10-12|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-swwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-wawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-warwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-wowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-xalwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-xhwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-xmfwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-yiwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-yowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-zawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-zeawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-zh_min_nanwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-zuwiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T308139] * At some wikis, newcomers are suggested images from Commons to add to articles without any images. Starting on Tuesday, newcomers at these wikis will be able to add images to unillustrated article sections. The specific wikis are listed under "Images recommendations" [[mw:Special:MyLanguage/Growth/Deployment table|at the Growth team deployment table]]. You can [[mw:Special:MyLanguage/Help:Growth/Tools/Add an image|learn more about this feature.]] [https://phabricator.wikimedia.org/T345940] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] In the mobile web skin (Minerva) the CSS ID <bdi lang="zxx" dir="ltr"><code><nowiki>#page-actions</nowiki></code></bdi> will be replaced with <bdi lang="zxx" dir="ltr"><code><nowiki>#p-views</nowiki></code></bdi>. This change is to make it consistent with other skins and to improve support for gadgets and extensions in the mobile skin. A few gadgets may need to be updated; there are [https://phabricator.wikimedia.org/T348267 details and search-links in the task]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/41|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W41"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 14:39, 9 October 2023 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25712895 --> == Tech News: 2023-42 == <section begin="technews-2023-W42"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/42|Translations]] are available. '''Recent changes''' * The [[m:Special:MyLanguage/Help:Unified login|Unified login]] system's edge login should now be fixed for some browsers (Chrome, Edge, Opera). This means that if you visit a new sister project wiki, you should be logged in automatically without the need to click "Log in" or reload the page. Feedback on whether it's working for you is welcome. [https://phabricator.wikimedia.org/T347889] * [[mw:Special:MyLanguage/Manual:Interface/Edit_notice|Edit notices]] are now available within the MobileFrontend/Minerva skin. This feature was inspired by [[w:en:Wikipedia:EditNoticesOnMobile|the gadget on English Wikipedia]]. See more details in [[phab:T316178|T316178]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.1|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-10-17|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-10-18|en}}. It will be on all wikis from {{#time:j xg|2023-10-19|en}} ([[mw:MediaWiki 1.41/Roadmap|calendar]]). '''Future changes''' * In 3 weeks, in the Vector 2022 skin, code related to <bdi lang="zxx" dir="ltr"><code><nowiki>addPortletLink</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>#p-namespaces</nowiki></code></bdi> that was deprecated one year ago will be removed. If you notice tools that should appear next to the "Discussion" tab are then missing, please tell the gadget's maintainers to see [[phab:T347907|instructions in the Phabricator task]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/42|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W42"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:47, 16 October 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25745824 --> == Tech News: 2023-43 == <section begin="technews-2023-W43"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/43|Translations]] are available. '''Recent changes''' * There is a new [[mw:Special:MyLanguage/Wikimedia Language engineering/Newsletter/2023/October|Language and internationalization newsletter]], written quarterly. It contains updates on new feature development, improvements in various language-related technical projects, and related support work. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Source map support has been enabled on all wikis. When you open the debugger in your browser's developer tools, you should be able to see the unminified JavaScript source code. [https://phabricator.wikimedia.org/T47514] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.2|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-10-24|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-10-25|en}}. It will be on all wikis from {{#time:j xg|2023-10-26|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/43|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W43"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:16, 23 October 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25782286 --> == Tech News: 2023-44 == <section begin="technews-2023-W44"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/44|Translations]] are available. '''Recent changes''' * The Structured Content team, as part of its project of [[:commons:Commons:WMF support for Commons/Upload Wizard Improvements|improving UploadWizard on Commons]], made some UX improvements to the upload step of choosing own vs not own work ([[phab:T347590|T347590]]), as well as to the licensing step for own work ([[phab:T347756|T347756]]). * The Design Systems team has released version 1.0.0 of [[wmdoc:codex/latest/|Codex]], the new design system for Wikimedia. See the [[mw:Special:MyLanguage/Design_Systems_Team/Announcing_Codex_1.0|full announcement about the release of Codex 1.0.0]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.3|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-10-31|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-11-01|en}}. It will be on all wikis from {{#time:j xg|2023-11-02|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). * Listings on category pages are sorted on each wiki for that language using a [[:w:en:International Components for Unicode|library]]. For a brief period on 2 November, changes to categories will not be sorted correctly for many languages. This is because the developers are upgrading to a new version of the library. They will then use a script to fix the existing categories. This will take a few hours or a few days depending on how big the wiki is. You can [[mw:Special:MyLanguage/Wikimedia Technical Operations/ICU announcement|read more]]. [https://phabricator.wikimedia.org/T345561][https://phabricator.wikimedia.org/T267145] * Starting November 1, the impact module (Special:Impact) will be upgraded by the Growth team. The new impact module shows newcomers more data regarding their impact on the wiki. It was tested by a few wikis during the last few months. [https://phabricator.wikimedia.org/T336203] '''Future changes''' * There is [[mw:Special:MyLanguage/Extension:Graph/Plans#Roadmap|a proposed plan]] for re-enabling the Graph Extension. You can help by reviewing this proposal and [[mw:Extension_talk:Graph/Plans#c-PPelberg_(WMF)-20231020221600-Update:_20_October|sharing what you think about it]]. * The WMF is working on making it possible for administrators to [[mw:Special:MyLanguage/Community_configuration_2.0|edit MediaWiki configuration directly]]. This is similar to previous work on Special:EditGrowthConfig. [[phab:T349757|A technical RfC is running until November 08, where you can provide feedback.]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/44|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W44"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:21, 30 October 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25801989 --> == Tech News: 2023-45 == <section begin="technews-2023-W45"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/45|Translations]] are available. '''Recent changes''' * In the Vector 2022 skin, the default font-size of a number of navigational elements (tagline, tools menu, navigational links, and more) has been increased slightly to match the font size used in page content. [https://phabricator.wikimedia.org/T346062] '''Problems''' * Last week, there was a problem displaying some recent edits on [https://noc.wikimedia.org/conf/highlight.php?file=dblists/s5.dblist a few wikis], for 1-6 hours. The edits were saved but not immediately shown. This was due to a database problem. [https://phabricator.wikimedia.org/T350443] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.4|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-11-07|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-11-08|en}}. It will be on all wikis from {{#time:j xg|2023-11-09|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). * The Growth team will reassign newcomers from former mentors to [[mw:Special:MyLanguage/Growth/Structured mentor list|the currently active mentors]]. They have also changed the notification language to be more user-friendly. [https://phabricator.wikimedia.org/T330071][https://phabricator.wikimedia.org/T327493] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/45|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W45"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:05, 6 November 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25838105 --> == Tech News: 2023-46 == <section begin="technews-2023-W46"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/46|Translations]] are available. '''Recent changes''' * Four new wikis have been created: ** a Wikipedia in [[d:Q7598268|Moroccan Amazigh]] ([[w:zgh:|<code>w:zgh:</code>]]) [https://phabricator.wikimedia.org/T350216] ** a Wikipedia in [[d:Q35159|Dagaare]] ([[w:dga:|<code>w:dga:</code>]]) [https://phabricator.wikimedia.org/T350218] ** a Wikipedia in [[d:Q33017|Toba Batak]] ([[w:bbc:|<code>w:bbc:</code>]]) [https://phabricator.wikimedia.org/T350320] ** a Wikiquote in [[d:Q33151|Banjar]] ([[q:bjn:|<code>q:bjn:</code>]]) [https://phabricator.wikimedia.org/T350217] '''Problems''' * Last week, users who previously visited Meta-Wiki or Wikimedia Commons and then became logged out on those wikis could not log in again. The problem is now resolved. [https://phabricator.wikimedia.org/T350695] * Last week, some pop-up dialogs and menus were shown with the wrong font size. The problem is now resolved. [https://phabricator.wikimedia.org/T350544] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.5|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-11-14|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-11-15|en}}. It will be on all wikis from {{#time:j xg|2023-11-16|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). '''Future changes''' * Reference Previews are coming to many wikis as a default feature. They are popups for references, similar to the [[mw:Special:MyLanguage/Page Previews|PagePreviews feature]]. [[m:WMDE Technical Wishes/ReferencePreviews#Opt-out feature|You can opt out]] of seeing them. If you are [[Special:Preferences#mw-prefsection-gadgets|using the gadgets]] Reference Tooltips or Navigation Popups, you won’t see Reference Previews. [[phab:T282999|Deployment]] is planned for November 22, 2023. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Canary (also known as heartbeat) events will be produced into [https://stream.wikimedia.org/?doc#/streams Wikimedia event streams] from December 11. Streams users are advised to filter out these events, by discarding all events where <bdi lang="zxx" dir="ltr"><code><nowiki>meta.domain == "canary"</nowiki></code></bdi>. Updates to [[mw:Special:MyLanguage/Manual:Pywikibot|Pywikibot]] or [https://github.com/ChlodAlejandro/wikimedia-streams wikimedia-streams] will discard these events by default. [https://phabricator.wikimedia.org/T266798] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/46|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W46"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:52, 13 November 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25859263 --> == Tech News: 2023-47 == <section begin="technews-2023-W47"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/47|Translations]] are available. '''Changes later this week''' * There is no new MediaWiki version this week. [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * Starting on Wednesday, a new set of Wikipedias will get "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]" ({{int:project-localized-name-quwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-rmwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-rmywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-rnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-roa_rupwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-roa_tarawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ruewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-rwwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sahwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-satwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-scwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-scnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-scowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sdwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sgwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-shwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-siwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-skwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-slwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-smwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sqwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-srwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-srnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-sswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-stwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-stqwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-suwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-szlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tcywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tetwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tgwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-thwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tkwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-towiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tpiwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-trwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ttwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-twwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tyvwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-udmwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ugwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-uzwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-vewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-vecwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-vepwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-vlswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-vowiki/en}}). This is part of the [[phab:T304110|progressive deployment of this tool to more Wikipedias]]. The communities can [[mw:Special:MyLanguage/Growth/Community configuration|configure how this feature works locally]]. [https://phabricator.wikimedia.org/T308141][https://phabricator.wikimedia.org/T308142][https://phabricator.wikimedia.org/T308143] * The Vector 2022 skin will have some minor visual changes to drop-down menus, column widths, and more. These changes were added to four Wikipedias last week. If no issues are found, these changes will proceed to all wikis this week. These changes will make it possible to add new menus for readability and dark mode. [[mw:Special:MyLanguage/Reading/Web/Desktop_Improvements/Updates#November_2023:_Visual_changes,_more_deployments,_and_shifting_focus|Learn more]]. [https://phabricator.wikimedia.org/T347711] '''Future changes''' * There is [[mw:Extension talk:Graph/Plans#Update: 15 November|an update on re-enabling the Graph Extension]]. To speed up the process, Vega 2 will not be supported and only [https://phabricator.wikimedia.org/T335325 some protocols] will be available at launch. You can help by sharing what you think about the plan. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/47|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W47"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:55, 21 November 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25884616 --> == Tech News: 2023-48 == <section begin="technews-2023-W48"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/48|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.7|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-11-28|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-11-29|en}}. It will be on all wikis from {{#time:j xg|2023-11-30|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). There is no new MediaWiki version next week. [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] MediaWiki's JavaScript system will now allow <bdi lang="zxx" dir="ltr"><code>async</code>/<code>await</code></bdi> syntax in gadgets and user scripts. Gadget authors should remember that users' browsers may not support it, so it should be used appropriately. [https://phabricator.wikimedia.org/T343499] * The deployment of "[[mw:Special:MyLanguage/Help:Growth/Tools/Add_a_link|Add a link]]" announced [[m:Special:MyLanguage/Tech/News/2023/47|last week]] was postponed. It will resume this week. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/48|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W48"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:08, 27 November 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25906379 --> == Tech News: 2023-49 == <section begin="technews-2023-W49"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/49|Translations]] are available. '''Recent changes''' * The spacing between paragraphs on Vector 2022 has been changed from 7px to 14px to match the size of the text. This will make it easier to distinguish paragraphs from sentences. [https://phabricator.wikimedia.org/T351754] * The "{{int:Visualeditor-dialog-meta-categories-defaultsort-label}}" feature in VisualEditor is working again. You no longer need to switch to source editing to edit <bdi lang="zxx" dir="ltr"><code><nowiki>{{DEFAULTSORT:...}}</nowiki></code></bdi> keywords. [https://phabricator.wikimedia.org/T337398] '''Changes later this week''' * There is no new MediaWiki version this week. [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * On 6 December, people who have the enabled the preference for "{{int:Discussiontools-preference-visualenhancements}}" will notice the [[mw:Special:MyLanguage/Talk pages project/Usability|talk page usability improvements]] appear on pages that include the <bdi lang="zxx" dir="ltr"><code><nowiki>__NEWSECTIONLINK__</nowiki></code></bdi> magic word. If you notice any issues, please [[phab:T352232|share them with the team on Phabricator]]. '''Future changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The Toolforge [[wikitech:News/Toolforge Grid Engine deprecation|Grid Engine shutdown process]] will start on December 14. Maintainers of [[toolforge:grid-deprecation|tools that still use this old system]] should plan to migrate to Kubernetes, or tell the team your plans on Phabricator in the task about your tool, before that date. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/VIWWQKMSQO2ED3TVUR7KPPWRTOBYBVOA/] * Communities using [[mw:Special:MyLanguage/Structured_Discussions|Structured Discussions]] are being contacted regarding [[mw:Special:MyLanguage/Structured_Discussions/Deprecation|the upcoming deprecation of Structured Discussions]]. You can read more about this project, and share your comments, [[mw:Special:MyLanguage/Structured_Discussions/Deprecation|on the project's page]]. '''Events''' * Registration & Scholarship applications are now open for the [[mw:Special:MyLanguage/Wikimedia Hackathon 2024|Wikimedia Hackathon 2024]] that will take place from 3–5 May in Tallinn, Estonia. Scholarship applications are open until 5 January 2024. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/49|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W49"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:50, 4 December 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25914435 --> == Tech News: 2023-50 == <section begin="technews-2023-W50"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/50|Translations]] are available. '''Recent changes''' * On Wikimedia Commons, there are some minor user-interface improvements for the "choosing own vs not own work" step in the UploadWizard. This is part of the Structured Content team's project of [[:commons:Commons:WMF support for Commons/Upload Wizard Improvements|improving UploadWizard on Commons]]. [https://phabricator.wikimedia.org/T352707][https://phabricator.wikimedia.org/T352709] '''Problems''' * There was a problem showing the [[mw:Special:MyLanguage/Growth/Personalized first day/Newcomer homepage|Newcomer homepage]] feature with the "impact module" and their page-view graphs, for a few days in early December. This has now been fixed. [https://phabricator.wikimedia.org/T352352][https://phabricator.wikimedia.org/T352349] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.9|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-12-12|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-12-13|en}}. It will be on all wikis from {{#time:j xg|2023-12-14|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''Future changes''' * [[File:Octicons-tools.svg|15px|link=]] The [https://wikimediafoundation.limesurvey.net/796964 2023 Developer Satisfaction Survey] is seeking the opinions of the Wikimedia developer community. Please take the survey if you have any role in developing software for the Wikimedia ecosystem. The survey is open until 5 January 2024, and has an associated [[foundation:Legal:December_2023_Developer_Satisfaction_Survey|privacy statement]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/50|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W50"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 02:12, 12 December 2023 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25945501 --> == Tech News: 2023-51 == <section begin="technews-2023-W51"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2023/51|Translations]] are available. '''Tech News''' * The next issue of Tech News will be sent out on 8 January 2024 because of [[w:en:Christmas and holiday season|the holidays]]. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.10|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2023-12-19|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2023-12-20|en}}. It will be on all wikis from {{#time:j xg|2023-12-21|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). There is no new MediaWiki version next week. [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * Starting December 18, it won't be possible to activate Structured Discussions on a user's own talk page using the Beta feature. The Beta feature option remains available for users who want to deactivate Structured Discussions. This is part of [[mw:Structured Discussions/Deprecation|Structured Discussions' deprecation work]]. [https://phabricator.wikimedia.org/T248309] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] There will be full support for redirects in the Module namespace. The "Move Page" feature will leave an appropriate redirect behind, and such redirects will be appropriately recognized by the software (e.g. hidden from [[{{#special:UnconnectedPages}}]]). There will also be support for [[mw:Special:MyLanguage/Extension:Scribunto/Lua reference manual#Renaming or moving modules|manual redirects]]. [https://phabricator.wikimedia.org/T120794] '''Future changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The MediaWiki JavaScript documentation is moving to a new format. During the move, you can read the old docs using [https://doc.wikimedia.org/mediawiki-core/REL1_41/js/ version 1.41]. Feedback about [https://doc.wikimedia.org/mediawiki-core/master/js/ the new site] is welcome on the [[mw:Talk:JSDoc_WMF_theme|project talk page]]. * The Wishathon is a new initiative that encourages collaboration across the Wikimedia community to develop solutions for wishes collected through the [[m:Special:MyLanguage/Community Wishlist Survey|Community Wishlist Survey]]. The first community Wishathon will take place from 15–17 March. If you are interested in a project proposal as a user, developer, designer, or product lead, you can [[m:Special:MyLanguage/Event:WishathonMarch2024|register for the event and read more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2023/51|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2023-W51"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:17, 18 December 2023 (UTC) <!-- Message sent by User:Johan (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=25959059 --> == Tech News: 2024-02 == <section begin="technews-2024-W02"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/02|Translations]] are available. '''Recent changes''' * [https://mediawiki2latex.wmflabs.org/ mediawiki2latex] is a tool that converts wiki content into the formats of LaTeX, PDF, ODT, and EPUB. The code now runs many times faster due to recent improvements. There is also an optional Docker container you can [[b:de:Benutzer:Dirk_Hünniger/wb2pdf/install#Using_Docker|install]] on your local machine. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The way that Random pages are selected has been updated. This will slowly reduce the problem of some pages having a lower chance of appearing. [https://phabricator.wikimedia.org/T309477] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.13|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-01-09|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-01-10|en}}. It will be on all wikis from {{#time:j xg|2024-01-11|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/02|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W02"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:19, 9 January 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26026251 --> == Tech News: 2024-03 == <section begin="technews-2024-W03"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/03|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Pages that use the JSON [[mw:Special:MyLanguage/Manual:ContentHandler|contentmodel]] will now use tabs instead of spaces for auto-indentation. This will significantly reduce the page size. [https://phabricator.wikimedia.org/T326065] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] [[mw:Special:MyLanguage/Extension:Gadgets|Gadgets]] and personal user scripts may now use JavaScript syntax introduced in ES6 (also known as "ES2015") and ES7 ("ES2016"). MediaWiki validates the source code to protect other site functionality from syntax errors, and to ensure scripts are valid in all [[mw:Special:MyLanguage/Compatibility#Browsers|supported browsers]]. Previously, Gadgets could use the <bdi lang="zxx" dir="ltr"><code><nowiki>requiresES6</nowiki></code></bdi> option. This option is no longer needed and will be removed in the future. [https://phabricator.wikimedia.org/T75714] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] [[mw:Special:MyLanguage/Manual:Bot passwords|Bot passwords]] and [[mw:Special:MyLanguage/OAuth/Owner-only consumers|owner-only OAuth consumers]] can now be restricted to allow editing only specific pages. [https://phabricator.wikimedia.org/T349957] * You can now [[mw:Special:MyLanguage/Extension:Thanks|thank]] edits made by bots. [https://phabricator.wikimedia.org/T341388] * An update on the status of the Community Wishlist Survey for 2024 [[m:Special:MyLanguage/Community Wishlist Survey/Future Of The Wishlist/January 4, 2024 Update|has been published]]. Please read and give your feedback. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.14|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-01-16|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-01-17|en}}. It will be on all wikis from {{#time:j xg|2024-01-18|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * Starting on January 17, it will not be possible to login to Wikimedia wikis from some specific old versions of the Chrome browser (versions 51–66, released between 2016 and 2018). Additionally, users of iOS 12, or Safari on Mac OS 10.14, may need to login to each wiki separately. [https://phabricator.wikimedia.org/T344791] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The <bdi lang="zxx" dir="ltr"><code>jquery.cookie</code></bdi> module was deprecated and replaced with the <bdi lang="zxx" dir="ltr"><code>mediawiki.cookie</code></bdi> module last year. A script has now been run to replace any remaining uses, and this week the temporary alias will be removed. [https://phabricator.wikimedia.org/T354966] '''Future changes''' * Wikimedia Deutschland is working to [[m:WMDE Technical Wishes/Reusing references|make reusing references easier]]. They are looking for people who are interested in participating in [https://wikimedia.sslsurvey.de/User-research-into-Reusing-References-Sign-up-Form-2024/en/ individual video calls for user research in January and February]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/03|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W03"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:13, 16 January 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26074460 --> == Tech News: 2024-04 == <section begin="technews-2024-W04"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/04|Translations]] are available. '''Problems''' * A bug in UploadWizard prevented linking to the userpage of the uploader when uploading. It has now been fixed. [https://phabricator.wikimedia.org/T354529] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.15|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-01-23|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-01-24|en}}. It will be on all wikis from {{#time:j xg|2024-01-25|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/04|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W04"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:03, 23 January 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26096197 --> == Tech News: 2024-05 == <section begin="technews-2024-W05"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/05|Translations]] are available. '''Recent changes''' * Starting Monday January 29, all talk pages messages' timestamps will become a link. This link is a permanent link to the comment. It allows users to find the comment they are looking for, even if this comment was moved elsewhere. This will affect all wikis except for the English Wikipedia. You can read more about this change [https://diff.wikimedia.org/2024/01/29/talk-page-permalinks-dont-lose-your-threads/ on Diff] or [[mw:Special:MyLanguage/Help:DiscussionTools#Talk_pages_permalinking|on Mediawiki.org]].<!-- The Diff post will be published on Monday morning UTC--> [https://phabricator.wikimedia.org/T302011] * There are some improvements to the CAPTCHA to make it harder for spam bots and scripts to bypass it. If you have feedback on this change, please comment on [[phab:T141490|the task]]. Staff are monitoring metrics related to the CAPTCHA, as well as secondary metrics such as account creations and edit counts. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.16|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-01-30|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-01-31|en}}. It will be on all wikis from {{#time:j xg|2024-02-01|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] On February 1, a link will be added to the "Tools" menu to download a [[w:en:QR code|QR code]] that links to the page you are viewing. There will also be a new [[{{#special:QrCode}}]] page to create QR codes for any Wikimedia URL. This addresses the [[m:Community Wishlist Survey 2023/Mobile and apps/Add ability to share QR code for a page in any Wikimedia project|#19 most-voted wish]] from the [[m:Community Wishlist Survey 2023/Results|2023 Community Wishlist Survey]]. [https://phabricator.wikimedia.org/T329973] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] [[mw:Special:MyLanguage/Extension:Gadgets|Gadgets]] which only work in some skins have sometimes used the <bdi lang="zxx" dir="ltr"><code>targets</code></bdi> option to limit where you can use them. This will stop working this week. You should use the <bdi lang="zxx" dir="ltr"><code>skins</code></bdi> option instead. [https://phabricator.wikimedia.org/T328497] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/05|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W05"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:31, 29 January 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26137870 --> == Tech News: 2024-06 == <section begin="technews-2024-W06"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/06|Translations]] are available. '''Recent changes''' *The mobile site history pages now use the same HTML as the desktop history pages. If you hear of any problems relating to mobile history usage please point them to [[phab:T353388|the phabricator task]]. *On most wikis, admins can now block users from making specific actions. These actions are: uploading files, creating new pages, moving (renaming) pages, and sending thanks. The goal of this feature is to allow admins to apply blocks that are adequate to the blocked users' activity. [[m:Special:MyLanguage/Community health initiative/Partial blocks#action-blocks|Learn more about "action blocks"]]. [https://phabricator.wikimedia.org/T242541][https://phabricator.wikimedia.org/T280531] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.17|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-02-06|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-02-07|en}}. It will be on all wikis from {{#time:j xg|2024-02-08|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * Talk pages permalinks that included diacritics and non-Latin script were malfunctioning. This issue is fixed. [https://phabricator.wikimedia.org/T356199] '''Future changes''' * [[m:WMDE Technical Wishes/ReferencePreviews#24WPs|24 Wikipedias]] with [[mw:Special:MyLanguage/Reference_Tooltips|Reference Tooltips]] as a default gadget are encouraged to remove that default flag. This would make [[mw:Special:MyLanguage/Help:Reference_Previews|Reference Previews]] the new default for reference popups, leading to a more consistent experience across wikis. For [[m:WMDE Technical Wishes/ReferencePreviews#46WPs|46 Wikipedias]] with less than 4 interface admins, the change is already scheduled for mid-February, [[m:Talk:WMDE Technical Wishes/ReferencePreviews#Reference Previews to become the default for previewing references on more wikis.|unless there are concerns]]. The older Reference Tooltips gadget will still remain usable and will override this feature, if it is available on your wiki and you have enabled it in your settings. [https://meta.wikimedia.org/wiki/WMDE_Technical_Wishes/ReferencePreviews#Reference_Previews_to_become_the_default_for_previewing_references_on_more_wikis][https://phabricator.wikimedia.org/T355312] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/06|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W06"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:22, 5 February 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26180971 --> == Tech News: 2024-07 == <section begin="technews-2024-W07"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/07|Translations]] are available. '''Recent changes''' * The [[d:Wikidata:SPARQL query service/WDQS graph split|WDQS Graph Split experiment]] is working and loaded onto 3 test servers. The team in charge is testing the split's impact and requires feedback from WDQS users through the UI or programmatically in different channels. [https://www.wikidata.org/wiki/Wikidata_talk:SPARQL_query_service/WDQS_graph_split][https://phabricator.wikimedia.org/T356773][https://www.wikidata.org/wiki/User:Sannita_(WMF)] Users' feedback will validate the impact of various use cases and workflows around the Wikidata Query service. [https://www.wikidata.org/wiki/Wikidata:SPARQL_query_service/WDQS_backend_update/October_2023_scaling_update][https://www.mediawiki.org/wiki/Wikidata_Query_Service/User_Manual#Federation] '''Problems''' *There was a bug that affected the appearance of visited links when using mobile device to access wiki sites. It made the links appear black; [[phab:T356928|this issue]] is fixed. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.18|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-02-13|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-02-14|en}}. It will be on all wikis from {{#time:j xg|2024-02-15|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] As work continues on the grid engine deprecation,[https://wikitech.wikimedia.org/wiki/News/Toolforge_Grid_Engine_deprecation] tools on the grid engine will be stopped starting on February 14th, 2024. If you have tools actively migrating you can ask for an extension so they are not stopped. [https://wikitech.wikimedia.org/wiki/Portal:Toolforge/About_Toolforge#Communication_and_support] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/07|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W07"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 05:48, 13 February 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26223994 --> == Tech News: 2024-08 == <section begin="technews-2024-W08"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/08|Translations]] are available. '''Recent changes''' * If you have the "{{int:Tog-enotifwatchlistpages}}" option enabled, edits by bot accounts no longer trigger notification emails. Previously, only minor edits would not trigger the notification emails. [https://phabricator.wikimedia.org/T356984] * There are changes to how user and site scripts load for [[mw:Special:MyLanguage/Skin:Vector/2022| Vector 2022]] on specific wikis. The changes impacted the following Wikis: all projects with [[mw:Special:MyLanguage/Skin:Vector|Vector legacy]] as the default skin, Wikivoyage, and Wikibooks. Other wikis will be affected over the course of the next three months. Gadgets are not impacted. If you have been affected or want to minimize the impact on your project, see [[Phab:T357580| this ticket]]. Please coordinate and take action proactively. *Newly auto-created accounts (the accounts you get when you visit a new wiki) now have the same local notification preferences as users who freshly register on that wiki. It is effected in four notification types listed in the [[phab:T353225|task's description]]. *The maximum file size when using [[c:Special:MyLanguage/Commons:Upload_Wizard|Upload Wizard]] is now 5 GiB. [https://phabricator.wikimedia.org/T191804] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.19|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-02-20|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-02-21|en}}. It will be on all wikis from {{#time:j xg|2024-02-22|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Selected tools on the grid engine have been [[wikitech:News/Toolforge_Grid_Engine_deprecation|stopped]] as we prepare to shut down the grid on March 14th, 2024. The tool's code and data have not been deleted. If you are a maintainer and you want your tool re-enabled reach out to the [[wikitech:Portal:Toolforge/About_Toolforge#Communication_and_support|team]]. Only tools that have asked for extension are still running on the grid. * The CSS <bdi lang="zxx" dir="ltr"><code>[https://developer.mozilla.org/en-US/docs/Web/CSS/filter filter]</code></bdi> property can now be used in HTML <bdi lang="zxx" dir="ltr"><code>style</code></bdi> attributes in wikitext. [https://phabricator.wikimedia.org/T308160] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/08|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W08"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 15:36, 19 February 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26254282 --> == Tech News: 2024-09 == <section begin="technews-2024-W09"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/09|Translations]] are available. '''Recent changes''' * The [[mw:Special:MyLanguage/VisualEditor_on_mobile|mobile visual editor]] is now the default editor for users who never edited before, at a small group of wikis. [[mw:Special:MyLanguage/VisualEditor_on_mobile/VE_mobile_default#A/B_test_results| Research ]] shows that users using this editor are slightly more successful publishing the edits they started, and slightly less successful publishing non-reverted edits. Users who defined the wikitext editor as their default on desktop will get the wikitext editor on mobile for their first edit on mobile as well. [https://phabricator.wikimedia.org/T352127] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The [[mw:Special:MyLanguage/ResourceLoader/Core modules#mw.config|mw.config]] value <code>wgGlobalGroups</code> now only contains groups that are active in the wiki. Scripts no longer have to check whether the group is active on the wiki via an API request. A code example of the above is: <bdi lang="zxx" dir="ltr"><code>if (/globalgroupname/.test(mw.config.get("wgGlobalGroups")))</code></bdi>. [https://phabricator.wikimedia.org/T356008] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.20|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-02-27|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-02-28|en}}. It will be on all wikis from {{#time:j xg|2024-02-29|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''Future changes''' * The right to change [[mw:Special:MyLanguage/Manual:Tags|edit tags]] (<bdi lang="zxx" dir="ltr"><code>changetags</code></bdi>) will be removed from users in Wikimedia sites, keeping it by default for admins and bots only. Your community can ask to retain the old configuration on your wiki before this change happens. Please indicate in [[phab:T355639|this ticket]] to keep it for your community before the end of March 2024. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/09|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W09"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:23, 26 February 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26294125 --> == Tech News: 2024-10 == <section begin="technews-2024-W10"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/10|Translations]] are available. '''Recent changes''' * The <bdi lang="zxx" dir="ltr"><code>Special:Book</code></bdi> page (as well as the associated "Create a book" functionality) provided by the old [[mw:Special:MyLanguage/Extension:Collection|Collection extension]] has been removed from all Wikisource wikis, as it was broken. This does not affect the ability to download normal books, which is provided by the [[mw:Special:MyLanguage/Extension:Wikisource|Wikisource extension]]. [https://phabricator.wikimedia.org/T358437] * [[m:Wikitech|Wikitech]] now uses the next-generation [[mw:Special:MyLanguage/Parsoid|Parsoid]] wikitext parser by default to generate all pages in the Talk namespace. Report any problems on the [[mw:Talk:Parsoid/Parser_Unification/Known_Issues|Known Issues discussion page]]. You can use the [[mw:Special:MyLanguage/Extension:ParserMigration|ParserMigration]] extension to control the use of Parsoid; see the [[mw:Special:MyLanguage/Help:Extension:ParserMigration|ParserMigration help documentation]] for more details. * Maintenance on [https://etherpad.wikimedia.org etherpad] is completed. If you encounter any issues, please indicate in [[phab:T316421|this ticket]]. * [[File:Octicons-tools.svg|12px|link=|alt=| Advanced item]] [[mw:Special:MyLanguage/Extension:Gadgets|Gadgets]] allow interface admins to create custom features with CSS and JavaScript. The <bdi lang="zxx" dir="ltr"><code>Gadget</code></bdi> and <bdi lang="zxx" dir="ltr"><code>Gadget_definition</code></bdi> namespaces and <bdi lang="zxx" dir="ltr"><code>gadgets-definition-edit</code></bdi> user right were reserved for an experiment in 2015, but were never used. These were visible on Special:Search and Special:ListGroupRights. The unused namespaces and user rights are now removed. No pages are moved, and no changes need to be made. [https://phabricator.wikimedia.org/T31272] * A usability improvement to the "Add a citation" in Wikipedia workflow has been made, the insert button was moved to the popup header. [https://phabricator.wikimedia.org/T354847] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.21|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-03-05|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-03-06|en}}. It will be on all wikis from {{#time:j xg|2024-03-07|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''Future changes''' * All wikis will be read-only for a few minutes on March 20. This is planned at 14:00 UTC. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T358233] * The HTML markup of headings and section edit links will be changed later this year to improve accessibility. See [[mw:Special:MyLanguage/Heading_HTML_changes|Heading HTML changes]] for details. The new markup will be the same as in the new Parsoid wikitext parser. You can test your gadget or stylesheet with the new markup if you add <bdi lang="zxx" dir="ltr"><code>?useparsoid=1</code></bdi> to your URL ([[mw:Special:MyLanguage/Help:Extension:ParserMigration#Selecting_a_parser_using_a_URL_query_string|more info]]) or turn on Parsoid read views in your user options ([[mw:Special:MyLanguage/Help:Extension:ParserMigration#Enabling_via_user_preference|more info]]). * '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/10|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W10"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:47, 4 March 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26329807 --> == Tech News: 2024-11 == <section begin="technews-2024-W11"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/11|Translations]] are available. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.22|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-03-12|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-03-13|en}}. It will be on all wikis from {{#time:j xg|2024-03-14|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * After consulting with various communities, the line height of the text on the [[mw:Special:MyLanguage/Skin:Minerva Neue|Minerva skin]] will be increased to its previous value of 1.65. Different options for typography can also be set using the options in the menu, as needed. [https://phabricator.wikimedia.org/T358498] *The active link color in [[mw:Special:MyLanguage/Skin:Minerva Neue|Minerva]] will be changed to provide more consistency with our other platforms and best practices. [https://phabricator.wikimedia.org/T358516] * [[c:Special:MyLanguage/Commons:Structured data|Structured data on Commons]] will no longer ask whether you want to leave the page without saving. This will prevent the “information you’ve entered may not be saved” popups from appearing when no information have been entered. It will also make file pages on Commons load faster in certain cases. However, the popups will be hidden even if information has indeed been entered. If you accidentally close the page before saving the structured data you entered, that data will be lost. [https://phabricator.wikimedia.org/T312315] '''Future changes''' * All wikis will be read-only for a few minutes on March 20. This is planned at 14:00 UTC. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T358233][https://meta.wikimedia.org/wiki/Special:MyLanguage/Tech/Server_switch] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/11|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W11"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:04, 11 March 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26374013 --> == Tech News: 2024-12 == <section begin="technews-2024-W12"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/12|Translations]] are available. '''Recent changes''' * The notice "Language links are at the top of the page" that appears in the [[mw:Special:MyLanguage/Skin:Vector/2022|Vector 2022 skin]] main menu has been removed now that users have learned the new location of the Language switcher. [https://phabricator.wikimedia.org/T353619] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] [[m:Special:MyLanguage/IP_Editing:_Privacy_Enhancement_and_Abuse_Mitigation/IP_Info_feature|IP info feature]] displays data from Spur, an IP addresses database. Previously, the only data source for this feature was MaxMind. Now, IP info is more useful for patrollers. [https://phabricator.wikimedia.org/T341395] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The Toolforge Grid Engine services have been shut down after the final migration process from Grid Engine to Kubernetes. [https://wikitech.wikimedia.org/wiki/Obsolete:Toolforge/Grid][https://wikitech.wikimedia.org/wiki/News/Toolforge_Grid_Engine_deprecation][https://techblog.wikimedia.org/2022/03/14/toolforge-and-grid-engine/] * Communities can now customize the default reasons for undeleting a page by creating [[MediaWiki:Undelete-comment-dropdown]]. [https://phabricator.wikimedia.org/T326746] '''Problems''' * [[m:Special:MyLanguage/WMDE_Technical_Wishes/RevisionSlider|RevisionSlider]] is an interface to interactively browse a page's history. Users in [[mw:Special:MyLanguage/Extension:RevisionSlider/Developing_a_RTL-accessible_feature_in_MediaWiki_-_what_we%27ve_learned_while_creating_the_RevisionSlider|right-to-left]] languages reported RevisionSlider reacting wrong to mouse clicks. This should be fixed now. [https://phabricator.wikimedia.org/T352169] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.23|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-03-19|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-03-20|en}}. It will be on all wikis from {{#time:j xg|2024-03-21|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * All wikis will be read-only for a few minutes on March 20. This is planned at [https://zonestamp.toolforge.org/1710943200 14:00 UTC]. [https://phabricator.wikimedia.org/T358233][https://meta.wikimedia.org/wiki/Special:MyLanguage/Tech/Server_switch] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/12|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W12"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 17:39, 18 March 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26410165 --> == Tech News: 2024-13 == <section begin="technews-2024-W13"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/13|Translations]] are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] An update was made on March 18th 2024 to how various projects load site, user JavaScript and CSS in [[mw:Special:MyLanguage/Skin:Vector/2022|Vector 2022 skin]]. A [[phab:T360384|checklist]] is provided for site admins to follow. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.24|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-03-26|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-03-27|en}}. It will be on all wikis from {{#time:j xg|2024-03-28|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/13|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W13"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:56, 25 March 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26446209 --> == Tech News: 2024-14 == <section begin="technews-2024-W14"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/14|Translations]] are available. '''Recent changes''' * Users of the [[mw:Special:MyLanguage/Reading/Web/Accessibility_for_reading|reading accessibility]] beta feature will notice that the default line height for the standard and large text options has changed. [https://phabricator.wikimedia.org/T359030] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.25|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-04-02|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-04-03|en}}. It will be on all wikis from {{#time:j xg|2024-04-04|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''Future changes''' * The Wikimedia Foundation has an annual plan. The annual plan decides what the Wikimedia Foundation will work on. You can now read [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2024-2025/Product & Technology OKRs#Draft Key Results|the draft key results]] for the Product and Technology department. They are suggestions for what results the Foundation wants from big technical changes from July 2024 to June 2025. You can [[m:Talk:Wikimedia Foundation Annual Plan/2024-2025/Product & Technology OKRs|comment on the talk page]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/14|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W14"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 03:36, 2 April 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26462933 --> == Tech News: 2024-15 == <section begin="technews-2024-W15"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/15|Translations]] are available. '''Recent changes''' * Web browsers can use tools called [[:w:en:Browser extension|extensions]]. There is now a Chrome extension called [[m:Future Audiences/Experiment:Citation Needed|Citation Needed]] which you can use to see if an online statement is supported by a Wikipedia article. This is a small experiment to see if Wikipedia can be used this way. Because it is a small experiment, it can only be used in Chrome in English. * [[File:Octicons-gift.svg|12px|link=|alt=|Wishlist item]] A new [[mw:Special:MyLanguage/Help:Edit Recovery|Edit Recovery]] feature has been added to all wikis, available as a [[Special:Preferences#mw-prefsection-editing|user preference]]. Once you enable it, your in-progress edits will be stored in your web browser, and if you accidentally close an editing window or your browser or computer crashes, you will be prompted to recover the unpublished text. Please leave any feedback on the [[m:Special:MyLanguage/Talk:Community Wishlist Survey 2023/Edit-recovery feature|project talk page]]. This was the #8 wish in the 2023 Community Wishlist Survey. * Initial results of [[mw:Special:MyLanguage/Edit check|Edit check]] experiments [[mw:Special:MyLanguage/Edit_check#4_April_2024|have been published]]. Edit Check is now deployed as a default feature at [[phab:T342930#9538364|the wikis that tested it]]. [[mw:Talk:Edit check|Let us know]] if you want your wiki to be part of the next deployment of Edit check. [https://phabricator.wikimedia.org/T342930][https://phabricator.wikimedia.org/T361727] * Readers using the [[mw:Special:MyLanguage/Skin:Minerva Neue|Minerva skin]] on mobile will notice there has been an improvement in the line height across all typography settings. [https://phabricator.wikimedia.org/T359029] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.42/wmf.26|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-04-09|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-04-10|en}}. It will be on all wikis from {{#time:j xg|2024-04-11|en}} ([[mw:MediaWiki 1.42/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * New accounts and logged-out users will get the [[mw:Special:MyLanguage/VisualEditor|visual editor]] as their default editor on mobile. This deployment is made at all wikis except for the English Wikipedia. [https://phabricator.wikimedia.org/T361134] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/15|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W15"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:37, 8 April 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26564838 --> == Tech News: 2024-16 == <section begin="technews-2024-W16"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/16|Translations]] are available. '''Problems''' * Between 2 April and 8 April, on wikis using [[mw:Special:MyLanguage/Extension:FlaggedRevs|Flagged Revisions]], the "{{Int:tag-mw-reverted}}" tag was not applied to undone edits. In addition, page moves, protections and imports were not autoreviewed. This problem is now fixed. [https://phabricator.wikimedia.org/T361918][https://phabricator.wikimedia.org/T361940] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.1|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-04-16|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-04-17|en}}. It will be on all wikis from {{#time:j xg|2024-04-18|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[mw:Special:MyLanguage/Help:Magic words#DEFAULTSORT|Default category sort keys]] will now affect categories added by templates placed in [[mw:Special:MyLanguage/Help:Cite|footnotes]]. Previously footnotes used the page title as the default sort key even if a different default sort key was specified (category-specific sort keys already worked). [https://phabricator.wikimedia.org/T40435] * A new variable <bdi lang="zxx" dir="ltr"><code>page_last_edit_age</code></bdi> will be added to [[Special:AbuseFilter|abuse filters]]. It tells how many seconds ago the last edit to a page was made. [https://phabricator.wikimedia.org/T269769] '''Future changes''' * Volunteer developers are kindly asked to update the code of their tools and features to handle [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]]. [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/For developers/2024-04 CTA|Learn more]]. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Four database fields will be removed from database replicas (including [[quarry:|Quarry]]). This affects only the <bdi lang="zxx" dir="ltr"><code>abuse_filter</code></bdi> and <bdi lang="zxx" dir="ltr"><code>abuse_filter_history</code></bdi> tables. Some queries might need to be updated. [https://phabricator.wikimedia.org/T361996] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/16|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W16"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:29, 15 April 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26564838 --> == Tech News: 2024-17 == <section begin="technews-2024-W17"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/17|Translations]] are available. '''Recent changes''' * Starting this week, newcomers editing Wikipedia [[mw:Special:MyLanguage/Growth/Positive reinforcement#Leveling up 3|will be encouraged]] to try structured tasks. [[mw:Special:MyLanguage/Growth/Feature summary#Newcomer tasks|Structured tasks]] have been shown to [[mw:Special:MyLanguage/Growth/Personalized first day/Structured tasks/Add a link/Experiment analysis, December 2021|improve newcomer activation and retention]]. [https://phabricator.wikimedia.org/T348086] * You can [[m:Special:MyLanguage/Coolest Tool Award|nominate your favorite tools]] for the fifth edition of the Coolest Tool Award. Nominations will be open until May 10. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.2|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-04-23|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-04-24|en}}. It will be on all wikis from {{#time:j xg|2024-04-25|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''Future changes''' * This is the last warning that by the end of May 2024 the Vector 2022 skin will no longer share site and user scripts/styles with old Vector. For user-scripts that you want to keep using on Vector 2022, copy the contents of [[{{#special:MyPage}}/vector.js]] to [[{{#special:MyPage}}/vector-2022.js]]. There are [[mw:Special:MyLanguage/Reading/Web/Desktop Improvements/Features/Loading Vector 2010 scripts|more technical details]] available. Interface administrators who foresee this leading to lots of technical support questions may wish to send a mass message to your community, as was done on French Wikipedia. [https://phabricator.wikimedia.org/T362701] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/17|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W17"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:28, 22 April 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26647188 --> == Tech News: 2024-18 == <section begin="technews-2024-W18"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/18|Translations]] are available. '''Recent changes''' [[File:Talk_pages_default_look_(April_2023).jpg|thumb|alt=Screenshot of the visual improvements made on talk pages|Example of a talk page with the new design, in French.]] * The appearance of talk pages changed for the following wikis: {{int:project-localized-name-azwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-dewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-fawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hiwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-idwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ptwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-rowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-thwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-trwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ukwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-viwiki/en}}. These wikis participated to a test, where 50% of users got the new design, for one year. As this test [[Mw:Special:MyLanguage/Talk pages project/Usability/Analysis|gave positive results]], the new design is deployed on these wikis as the default design. It is possible to opt-out these changes [[Special:Preferences#mw-prefsection-editing|in user preferences]] ("{{int:discussiontools-preference-visualenhancements}}"). The deployment will happen at all wikis in the coming weeks. [https://phabricator.wikimedia.org/T341491] * Seven new wikis have been created: ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q33014|Betawi]] ([[w:bew:|<code>w:bew:</code>]]) [https://phabricator.wikimedia.org/T357866] ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q35708|Kusaal]] ([[w:kus:|<code>w:kus:</code>]]) [https://phabricator.wikimedia.org/T359757] ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q35513|Igala]] ([[w:igl:|<code>w:igl:</code>]]) [https://phabricator.wikimedia.org/T361644] ** a {{int:project-localized-name-group-wiktionary}} in [[d:Q33541|Karakalpak]] ([[wikt:kaa:|<code>wikt:kaa:</code>]]) [https://phabricator.wikimedia.org/T362135] ** a {{int:project-localized-name-group-wikisource}} in [[d:Q9228|Burmese]] ([[s:my:|<code>s:my:</code>]]) [https://phabricator.wikimedia.org/T361085] ** a {{int:project-localized-name-group-wikisource}} in [[d:Q9237|Malay]] ([[s:ms:|<code>s:ms:</code>]]) [https://phabricator.wikimedia.org/T363039] ** a {{int:project-localized-name-group-wikisource}} in [[d:Q8108|Georgian]] ([[s:ka:|<code>s:ka:</code>]]) [https://phabricator.wikimedia.org/T363085] * You can now [https://translatewiki.net/wiki/Support#Early_access:_Watch_Message_Groups_on_Translatewiki.net watch message groups/projects] on [[m:Special:MyLanguage/translatewiki.net|Translatewiki.net]]. Initially, this feature will notify you of added or deleted messages in these groups. [https://phabricator.wikimedia.org/T348501] * Dark mode is now available on all wikis, on mobile web for logged-in users who opt into the [[Special:MobileOptions|advanced mode]]. This is the early release of the feature. Technical editors are invited to [https://night-mode-checker.wmcloud.org/ check for accessibility issues on wikis]. See [[mw:Special:MyLanguage/Reading/Web/Accessibility for reading/Updates/2024-04|more detailed guidelines]]. '''Problems''' * [[mw:Special:MyLanguage/Help:Extension:Kartographer|Kartographer]] maps can use an alternative visual style without labels, by using <bdi lang="zxx" dir="ltr"><code><nowiki>mapstyle="osm"</nowiki></code></bdi>. This wasn't working in previews, creating the wrong impression that it wasn't supported. This has now been fixed. [https://phabricator.wikimedia.org/T362531] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.3|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-04-30|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-05-01|en}}. It will be on all wikis from {{#time:j xg|2024-05-02|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/18|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W18"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 03:33, 30 April 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26689057 --> == Tech News: 2024-19 == <section begin="technews-2024-W19"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/19|Translations]] are available. '''Recent changes''' [[File:Talk_pages_default_look_(April_2023).jpg|thumb|alt=Screenshot of the visual improvements made on talk pages|Example of a talk page with the new design, in French.]] * The appearance of talk pages changed for all wikis, except for Commons, Wikidata and most Wikipedias ([[m:Special:MyLanguage/Tech/News/2024/18|a few]] have already received this design change). You can read the detail of the changes [[diffblog:2024/05/02/making-talk-pages-better-for-everyone/|on ''Diff'']]. It is possible to opt-out these changes [[Special:Preferences#mw-prefsection-editing|in user preferences]] ("{{int:discussiontools-preference-visualenhancements}}"). The deployment will happen at remaining wikis in the coming weeks. [https://phabricator.wikimedia.org/T352087][https://phabricator.wikimedia.org/T319146] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Interface admins now have greater control over the styling of article components on mobile with the introduction of the <code>SiteAdminHelper</code>. More information on how styles can be disabled can be found [[mw:Special:MyLanguage/Extension:WikimediaMessages#Site_admin_helper|at the extension's page]]. [https://phabricator.wikimedia.org/T363932] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] [[m:Special:MyLanguage/Wikimedia Enterprise|Wikimedia Enterprise]] has added article body sections in JSON format and a curated short description field to the existing parsed Infobox. This expansion to the API is also available via Wikimedia Cloud Services. [https://enterprise.wikimedia.com/blog/article-sections-and-description/] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.4|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-05-07|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-05-08|en}}. It will be on all wikis from {{#time:j xg|2024-05-09|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * When you look at the Special:Log page, the first view is labelled "All public logs", but it only shows some logs. This label will now say "Main public logs". [https://phabricator.wikimedia.org/T237729] '''Future changes''' * A new service will be built to replace [[mw:Special:MyLanguage/Extension:Graph|Extension:Graph]]. Details can be found in [[mw:Special:MyLanguage/Extension:Graph/Plans|the latest update]] regarding this extension. * Starting May 21, English Wikipedia and German Wikipedia will get the possibility to activate "[[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]]". This is part of the [[phab:T304110|progressive deployment of this tool to all Wikipedias]]. These communities can [[mw:Special:MyLanguage/Growth/Community configuration|activate and configure the feature locally]]. [https://phabricator.wikimedia.org/T308144] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/19|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W19"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:44, 6 May 2024 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26729363 --> == Tech News: 2024-20 == <section begin="technews-2024-W20"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/20|Translations]] are available. '''Recent changes''' * On Wikisource there is a special page listing pages of works without corresponding scan images. Now you can use the new magic word <bdi lang="zxx" dir="ltr"><code>__EXPECTWITHOUTSCANS__</code></bdi> to exclude certain pages (list of editions or translations of works) from that list. [https://phabricator.wikimedia.org/T344214] * If you use the [[Special:Preferences#mw-prefsection-editing|user-preference]] "{{int:tog-uselivepreview}}", then the template-page feature "{{int:Templatesandbox-editform-legend}}" will now also work without reloading the page. [https://phabricator.wikimedia.org/T136907] * [[mw:Special:Mylanguage/Extension:Kartographer|Kartographer]] maps can now specify an alternative text via the <bdi lang="zxx" dir="ltr"><code><nowiki>alt=</nowiki></code></bdi> attribute. This is identical in usage to the <bdi lang="zxx" dir="ltr"><code><nowiki>alt=</nowiki></code></bdi> attribute in the [[mw:Special:MyLanguage/Help:Images#Syntax|image and gallery syntax]]. An exception for this feature is wikis like Wikivoyage where the miniature maps are interactive. [https://phabricator.wikimedia.org/T328137] * The old [[mw:Special:MyLanguage/Extension:GuidedTour|Guided Tour]] for the "[[mw:Special:MyLanguage/Edit Review Improvements/New filters for edit review|New Filters for Edit Review]]" feature has been removed. It was created in 2017 to show people with older accounts how the interface had changed, and has now been seen by most of the intended people. [https://phabricator.wikimedia.org/T217451] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.5|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-05-14|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-05-15|en}}. It will be on all wikis from {{#time:j xg|2024-05-16|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The [[{{#special:search}}]] results page will now use CSS flex attributes, for better accessibility, instead of a table. If you have a gadget or script that adjusts search results, you should update your script to the new HTML structure. [https://phabricator.wikimedia.org/T320295] '''Future changes''' * In the Vector 2022 skin, main pages will be displayed at full width (like special pages). The goal is to keep the number of characters per line large enough. This is related to the coming changes to typography in Vector 2022. [[mw:Special:MyLanguage/Reading/Web/Accessibility for reading/Updates|Learn more]]. [https://phabricator.wikimedia.org/T357706] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Two columns of the <bdi lang="zxx" dir="ltr"><code>[[mw:Special:MyLanguage/Manual:pagelinks table|pagelinks]]</code></bdi> database table (<bdi lang="zxx" dir="ltr"><code>pl_namespace</code></bdi> and <bdi lang="zxx" dir="ltr"><code>pl_title</code></bdi>) are being dropped soon. Users must use two columns of the new <bdi lang="zxx" dir="ltr"><code>[[mw:special:MyLanguage/Manual:linktarget table|linktarget]]</code></bdi> table instead (<bdi lang="zxx" dir="ltr"><code>lt_namespace</code></bdi> and <bdi lang="zxx" dir="ltr"><code>lt_title</code></bdi>). In your existing SQL queries: *# Replace <bdi lang="zxx" dir="ltr"><code>JOIN pagelinks</code></bdi> with <bdi lang="zxx" dir="ltr"><code>JOIN linktarget</code></bdi> and <bdi lang="zxx" dir="ltr"><code>pl_</code></bdi> with <bdi lang="zxx" dir="ltr"><code>lt_</code></bdi> in the <bdi lang="zxx" dir="ltr"><code>ON</code></bdi> statement *# Below that add <bdi lang="zxx" dir="ltr"><code>JOIN pagelinks ON lt_id = pl_target_id</code></bdi> ** See <bdi lang="en" dir="ltr">[[phab:T222224]]</bdi> for technical reasoning. [https://phabricator.wikimedia.org/T222224][https://phabricator.wikimedia.org/T299947] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/20|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W20"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:58, 13 May 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26762074 --> == Tech News: 2024-21 == <section begin="technews-2024-W21"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/21|Translations]] are available. '''Recent changes''' * The [[mw:Special:MyLanguage/Extension:Nuke|Nuke]] feature, which enables administrators to mass delete pages, will now correctly delete pages which were moved to another title. [https://phabricator.wikimedia.org/T43351] * New changes have been made to the UploadWizard in Wikimedia Commons: the overall layout has been improved, by following new styling and spacing for the form and its fields; the headers and helper text for each of the fields was changed; the Caption field is now a required field, and there is an option for users to copy their caption into the media description. [https://commons.wikimedia.org/wiki/Commons:WMF_support_for_Commons/Upload_Wizard_Improvements#Changes_to_%22Describe%22_workflow][https://phabricator.wikimedia.org/T361049] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.6|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-05-21|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-05-22|en}}. It will be on all wikis from {{#time:j xg|2024-05-23|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The HTML used to render all headings [[mw:Heading_HTML_changes|is being changed to improve accessibility]]. It will change on 22 May in some skins (Timeless, Modern, CologneBlue, Nostalgia, and Monobook). Please test gadgets on your wiki on these skins and [[phab:T13555|report any related problems]] so that they can be resolved before this change is made in all other skins. The developers are also considering the introduction of a [[phab:T337286|Gadget API for adding buttons to section titles]] if that would be helpful to tool creators, and would appreciate any input you have on that. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/21|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W21"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:04, 20 May 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26786311 --> == Tech News: 2024-22 == <section begin="technews-2024-W22"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/22|Translations]] are available. '''Recent changes''' * Several bugs related to the latest updates to the UploadWizard on Wikimedia Commons have been fixed. For more information, see [[:phab:T365107|T365107]] and [[:phab:T365119|T365119]]. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] In March 2024 a new [[mw:ResourceLoader/Core_modules#addPortlet|addPortlet]] API was added to allow gadgets to create new portlets (menus) in the skin. In certain skins this can be used to create dropdowns. Gadget developers are invited to try it and [[phab:T361661|give feedback]]. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Some CSS in the Minerva skin has been removed to enable easier community configuration. Interface editors should check the rendering on mobile devices for aspects related to the classes: <bdi lang="zxx" dir="ltr"><code>.collapsible</code></bdi>{{int:comma-separator/en}}<bdi lang="zxx" dir="ltr"><code>.multicol</code></bdi>{{int:comma-separator/en}}<bdi lang="zxx" dir="ltr"><code>.reflist</code></bdi>{{int:comma-separator/en}}<bdi lang="zxx" dir="ltr"><code>.coordinates</code></bdi>{{int:comma-separator/en}}<bdi lang="zxx" dir="ltr"><code>.topicon</code></bdi>. [[phab:T361659|Further details are available on replacement CSS]] if it is needed. '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.7|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-05-28|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-05-29|en}}. It will be on all wikis from {{#time:j xg|2024-05-30|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * When you visit a wiki where you don't yet have a local account, local rules such as edit filters can sometimes prevent your account from being created. Starting this week, MediaWiki takes your global rights into account when evaluating whether you can override such local rules. [https://phabricator.wikimedia.org/T316303] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/22|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W22"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:15, 28 May 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26832205 --> == Tech News: 2024-23 == <section begin="technews-2024-W23"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/23|Translations]] are available. '''Recent changes''' * It is now possible for local administrators to add new links to the bottom of the site Tools menu without JavaScript. [[mw:Manual:Interface/Sidebar#Add or remove toolbox sections|Documentation is available]]. [https://phabricator.wikimedia.org/T6086] * The message name for the definition of the tracking category of WikiHiero has changed from "<bdi lang="zxx" dir="ltr"><code>MediaWiki:Wikhiero-usage-tracking-category</code></bdi>" to "<bdi lang="zxx" dir="ltr"><code>MediaWiki:Wikihiero-usage-tracking-category</code></bdi>". [https://gerrit.wikimedia.org/r/c/mediawiki/extensions/wikihiero/+/1035855] * One new wiki has been created: a {{int:project-localized-name-group-wikipedia}} in [[d:Q5317225|Kadazandusun]] ([[w:dtp:|<code>w:dtp:</code>]]) [https://phabricator.wikimedia.org/T365220] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.8|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-06-04|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-06-05|en}}. It will be on all wikis from {{#time:j xg|2024-06-06|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''Future changes''' * Next week, on wikis with the Vector 2022 skin as the default, logged-out desktop users will be able to choose between different font sizes. The default font size will also be increased for them. This is to make Wikimedia projects easier to read. [[mw:Special:MyLanguage/Reading/Web/Accessibility for reading/Updates/2024-06 deployments|Learn more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/23|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W23"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:35, 3 June 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26844397 --> == Tech News: 2024-24 == <section begin="technews-2024-W24"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/24|Translations]] are available. '''Recent changes''' * The software used to render SVG files has been updated to a new version, fixing many longstanding bugs in SVG rendering. [https://phabricator.wikimedia.org/T265549] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The HTML used to render all headings [[mw:Heading HTML changes|is being changed to improve accessibility]]. It was changed last week in some skins (Vector legacy and Minerva). Please test gadgets on your wiki on these skins and [[phab:T13555|report any related problems]] so that they can be resolved before this change is made in Vector-2022. The developers are still considering the introduction of a [[phab:T337286|Gadget API for adding buttons to section titles]] if that would be helpful to tool creators, and would appreciate any input you have on that. * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The HTML markup used for citations by [[mw:Special:MyLanguage/Parsoid|Parsoid]] changed last week. In places where Parsoid previously added the <bdi lang="zxx" dir="ltr"><code>mw-reference-text</code></bdi> class, Parsoid now also adds the <bdi lang="zxx" dir="ltr"><code>reference-text</code></bdi> class for better compatibility with the legacy parser. [[mw:Specs/HTML/2.8.0/Extensions/Cite/Announcement|More details are available]]. [https://gerrit.wikimedia.org/r/1036705] '''Problems''' * There was a bug with the Content Translation interface that caused the tools menus to appear in the wrong location. This has now been fixed. [https://phabricator.wikimedia.org/T366374] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.9|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-06-11|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-06-12|en}}. It will be on all wikis from {{#time:j xg|2024-06-13|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The new version of MediaWiki includes another change to the HTML markup used for citations: [[mw:Special:MyLanguage/Parsoid|Parsoid]] will now generate a <bdi lang="zxx" dir="ltr"><code><nowiki><span class="mw-cite-backlink"></nowiki></code></bdi> wrapper for both named and unnamed references for better compatibility with the legacy parser. Interface administrators should verify that gadgets that interact with citations are compatible with the new markup. [[mw:Specs/HTML/2.8.0/Extensions/Cite/Announcement|More details are available]]. [https://gerrit.wikimedia.org/r/1035809] * On multilingual wikis that use the <bdi lang="zxx" dir="ltr"><code><nowiki><translate></nowiki></code></bdi> system, there is a feature that shows potentially-outdated translations with a pink background until they are updated or confirmed. From this week, confirming translations will be logged, and there is a new user-right that can be required for confirming translations if the community [[m:Special:MyLanguage/Requesting wiki configuration changes|requests it]]. [https://phabricator.wikimedia.org/T49177] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/24|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W24"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:20, 10 June 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26893898 --> == Tech News: 2024-25 == <section begin="technews-2024-W25"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/25|Translations]] are available. '''Recent changes''' * People who attempt to add an external link in the visual editor will now receive immediate feedback if they attempt to link to a domain that a project has decided to block. Please see [[mw:Special:MyLanguage/Edit_check#11_June_2024|Edit check]] for more details. [https://phabricator.wikimedia.org/T366751] * The new [[mw:Special:MyLanguage/Extension:CommunityConfiguration|Community Configuration extension]] is available [[testwiki:Special:CommunityConfiguration|on Test Wikipedia]]. This extension allows communities to customize specific features to meet their local needs. Currently only Growth features are configurable, but the extension will support other [[mw:Special:MyLanguage/Community_configuration#Use_cases|Community Configuration use cases]] in the future. [https://phabricator.wikimedia.org/T323811][https://phabricator.wikimedia.org/T360954] * The dark mode [[Special:Preferences#mw-prefsection-betafeatures|beta feature]] is now available on category and help pages, as well as more special pages. There may be contrast issues. Please report bugs on the [[mw:Talk:Reading/Web/Accessibility_for_reading|project talk page]]. [https://phabricator.wikimedia.org/T366370] '''Problems''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] Cloud Services tools were not available for 25 minutes last week. This was caused by a faulty hardware cable in the data center. [https://wikitech.wikimedia.org/wiki/Incidents/2024-06-11_WMCS_Ceph] * Last week, styling updates were made to the Vector 2022 skin. This caused unforeseen issues with templates, hatnotes, and images. Changes to templates and hatnotes were reverted. Most issues with images were fixed. If you still see any, [[phab:T367463|report them here]]. [https://phabricator.wikimedia.org/T367480] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.10|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-06-18|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-06-19|en}}. It will be on all wikis from {{#time:j xg|2024-06-20|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * Starting June 18, the [[mw:Special:MyLanguage/Help:Edit check#ref|Reference Edit Check]] will be deployed to [[phab:T361843|a new set of Wikipedias]]. This feature is intended to help newcomers and to assist edit-patrollers by inviting people who are adding new content to a Wikipedia article to add a citation when they do not do so themselves. During [[mw:Special:MyLanguage/Edit_check#Reference_Check_A/B_Test|a test at 11 wikis]], the number of citations added [https://diff.wikimedia.org/?p=127553 more than doubled] when Reference Check was shown to people. Reference Check is [[mw:Special:MyLanguage/Edit check/Configuration|community configurable]]. [https://phabricator.wikimedia.org/T361843]<!-- NOTE: THE DIFF BLOG WILL BE PUBLISHED ON MONDAY --> * [[m:Special:MyLanguage/Mailing_lists|Mailing lists]] will be unavailable for roughly two hours on Tuesday 10:00–12:00 UTC. This is to enable migration to a new server and upgrade its software. [https://phabricator.wikimedia.org/T367521] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/25|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W25"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:48, 17 June 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26911987 --> == Tech News: 2024-26 == <section begin="technews-2024-W26"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/26|Translations]] are available. '''Recent changes''' * Editors will notice that there have been some changes to the background color of text in the diff view, and the color of the byte-change numbers, last week. These changes are intended to make text more readable in both light mode and dark mode, and are part of a larger effort to increase accessibility. You can share your comments or questions [[mw:Talk:Reading/Web/Accessibility for reading|on the project talkpage]]. [https://phabricator.wikimedia.org/T361717] * The text colors that are used for visited-links, hovered-links, and active-links, were also slightly changed last week to improve their accessibility in both light mode and dark mode. [https://phabricator.wikimedia.org/T366515] '''Problems''' * You can [[mw:Special:MyLanguage/Help:DiscussionTools#Talk pages permalinking|copy permanent links to talk page comments]] by clicking on a comment's timestamp. [[mw:Talk pages project/Permalinks|This feature]] did not always work when the topic title was very long and the link was used as a wikitext link. This has been fixed. Thanks to Lofhi for submitting the bug. [https://phabricator.wikimedia.org/T356196] '''Changes later this week''' * [[File:Octicons-sync.svg|12px|link=|alt=|Recurrent item]] The [[mw:MediaWiki 1.43/wmf.11|new version]] of MediaWiki will be on test wikis and MediaWiki.org from {{#time:j xg|2024-06-25|en}}. It will be on non-Wikipedia wikis and some Wikipedias from {{#time:j xg|2024-06-26|en}}. It will be on all wikis from {{#time:j xg|2024-06-27|en}} ([[mw:MediaWiki 1.43/Roadmap|calendar]]). [https://wikitech.wikimedia.org/wiki/Deployments/Train][https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] * Starting 26 June, all talk pages messages' timestamps will become a link at English Wikipedia, making this feature available for you to use at all wikis. This link is a permanent link to the comment. It allows users to find the comment they were linked to, even if this comment has since been moved elsewhere. You can read more about this feature [[DiffBlog:/2024/01/29/talk-page-permalinks-dont-lose-your-threads/|on Diff]] or [[mw:Special:MyLanguage/Help:DiscussionTools#Talk pages permalinking|on Mediawiki.org]]. [https://phabricator.wikimedia.org/T365974] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/26|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W26"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:32, 24 June 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=26989424 --> == Tech News: 2024-27 == <section begin="technews-2024-W27"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/27|Translations]] are available. '''Recent changes''' * Over the next three weeks, dark mode will become available for all users, both logged-in and logged-out, starting with the mobile web version. This fulfils one of the [[m:Special:MyLanguage/Community_Wishlist_Survey_2023/Reading/Dark_mode|top-requested community wishes]], and improves low-contrast reading and usage in low-light settings. As part of these changes, dark mode will also work on User-pages and Portals. There is more information in [[mw:Special:MyLanguage/Reading/Web/Accessibility_for_reading/Updates#June_2024:_Typography_and_dark_mode_deployments,_new_global_preferences|the latest Web team update]]. [https://phabricator.wikimedia.org/T366364] * Logged-in users can now set [[m:Special:GlobalPreferences#mw-prefsection-rendering-skin-skin-prefs|global preferences for the text-size and dark-mode]], thanks to a combined effort across Foundation teams. This allows Wikimedians using multiple wikis to set up a consistent reading experience easily, for example by switching between light and dark mode only once for all wikis. [https://phabricator.wikimedia.org/T341278] * If you use a very old web browser some features might not work on the Wikimedia wikis. This affects Internet Explorer 11 and versions of Chrome, Firefox and Safari older than 2016. This change makes it possible to use new [[d:Q46441|CSS]] features and to send less code to all readers. [https://phabricator.wikimedia.org/T288287][https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:How_to_make_a_MediaWiki_skin#Using_CSS_variables_for_supporting_different_themes_e.g._dark_mode] * Wikipedia Admins can customize local wiki configuration options easily using [[mw:Special:MyLanguage/Community Configuration|Community Configuration]]. Community Configuration was created to allow communities to customize how some features work, because each language wiki has unique needs. At the moment, admins can configure [[mw:Special:MyLanguage/Growth/Feature_summary|Growth features]] on their home wikis, in order to better recruit and retain new editors. More options will be provided in the coming months. [https://phabricator.wikimedia.org/T366458] * Editors interested in language issues that are related to [[w:en:Unicode|Unicode standards]], can now discuss those topics at [[mw:Talk:WMF membership with Unicode Consortium|a new conversation space in MediaWiki.org]]. The Wikimedia Foundation is now a [[mw:Special:MyLanguage/WMF membership with Unicode Consortium|member of the Unicode Consortium]], and the coordination group can collaboratively review the issues discussed and, where appropriate, bring them to the attention of the Unicode Consortium. * One new wiki has been created: a {{int:project-localized-name-group-wikipedia}} in [[d:Q2891049|Mandailing]] ([[w:btm:|<code>w:btm:</code>]]) [https://phabricator.wikimedia.org/T368038] '''Problems''' * Editors can once again click on links within the visual editor's citation-preview, thanks to a bug fix by the Editing Team. [https://phabricator.wikimedia.org/T368119] '''Future changes''' * Please [https://wikimediafoundation.limesurvey.net/758713?lang=en help us to improve Tech News by taking this short survey]. The goal is to better meet the needs of the various types of people who read Tech News. The survey will be open for 2 weeks. The survey is covered by [https://foundation.wikimedia.org/wiki/Legal:Tech_News_Survey_2024_Privacy_Statement this privacy statement]. Some translations are available. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/27|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W27"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:59, 1 July 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27038456 --> == Tech News: 2024-28 == <section begin="technews-2024-W28"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/28|Translations]] are available. '''Recent changes''' * At the Wikimedia Foundation a new task force was formed to replace the disabled Graph with [[mw:Special:MyLanguage/Extension:Chart/Project|more secure, easy to use, and extensible Chart]]. You can [[mw:Special:MyLanguage/Newsletter:Chart Project|subscribe to the newsletter]] to get notified about new project updates and other news about Chart. * The [[m:Special:MyLanguage/CampaignEvents|CampaignEvents]] extension is now available on Meta-wiki, Igbo Wikipedia, and Swahili Wikipedia, and can be requested on your wiki. This extension helps in managing and making events more visible, giving Event organizers the ability to use tools like the Event registration tool. To learn more about the deployment status and how to request this extension for your wiki, visit the [[m:Special:MyLanguage/CampaignEvents/Deployment_status|CampaignEvents page on Meta-wiki]]. * Editors using the iOS Wikipedia app who have more than 50 edits can now use the [[mw:Special:MyLanguage/Wikimedia Apps/iOS Suggested edits#Add an image|Add an Image]] feature. This feature presents opportunities for small but useful contributions to Wikipedia. * Thank you to [[mw:MediaWiki Product Insights/Contributor retention and growth/Celebration|all of the authors]] who have contributed to MediaWiki Core. As a result of these contributions, the [[mw:MediaWiki Product Insights/Contributor retention and growth|percentage of authors contributing more than 5 patches has increased by 25% since last year]], which helps ensure the sustainability of the platform for the Wikimedia projects. '''Problems''' * A problem with the color of the talkpage tabs always showing as blue, even for non-existent pages which should have been red, affecting the Vector 2022 skin, [[phab:T367982|has been fixed]]. '''Future changes''' * The Trust and Safety Product team wants to introduce [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] with as little disruption to tools and workflows as possible. Volunteer developers, including gadget and user-script maintainers, are kindly asked to update the code of their tools and features to handle temporary accounts. The team has [[mw:Trust and Safety Product/Temporary Accounts/For developers|created documentation]] explaining how to do the update. [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/For developers/2024-04 CTA|Learn more]]. '''Tech News survey''' * Please [https://wikimediafoundation.limesurvey.net/758713?lang=en help us to improve Tech News by taking this short survey]. The goal is to better meet the needs of the various types of people who read Tech News. The survey will be open for 1 more week. The survey is covered by [https://foundation.wikimedia.org/wiki/Legal:Tech_News_Survey_2024_Privacy_Statement this privacy statement]. Some translations are available. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/28|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W28"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:31, 8 July 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27080357 --> == Tech News: 2024-29 == <section begin="technews-2024-W29"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/29|Translations]] are available. '''Tech News survey''' * Please [https://wikimediafoundation.limesurvey.net/758713?lang=en help us to improve Tech News by taking this short survey]. The goal is to better meet the needs of the various types of people who read Tech News. The survey will be open for 3 more days. The survey is covered by [https://foundation.wikimedia.org/wiki/Legal:Tech_News_Survey_2024_Privacy_Statement this privacy statement]. Some translations are available. '''Recent changes''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Wikimedia developers can now officially continue to use both [[mw:Special:MyLanguage/Gerrit|Gerrit]] and [[mw:Special:MyLanguage/GitLab|GitLab]], due to a June 24 decision by the Wikimedia Foundation to support software development on both platforms. Gerrit and GitLab are both code repositories used by developers to write, review, and deploy the software code that supports the MediaWiki software that the wiki projects are built on, as well as the tools used by editors to create and improve content. This decision will safeguard the productivity of our developers and prevent problems in code review from affecting our users. More details are available in the [[mw:GitLab/Migration status|Migration status]] page. * The Wikimedia Foundation seeks applicants for the [[m:Special:MyLanguage/Product and Technology Advisory Council/Proposal|Product and Technology Advisory Council]] (PTAC). This group will bring technical contributors and Wikimedia Foundation together to co-define a more resilient, future-proof technological platform. Council members will evaluate and consult on the movement's product and technical activities, so that we develop multi-generational projects. We are looking for a range of technical contributors across the globe, from a variety of Wikimedia projects. [[m:Special:MyLanguage/Product and Technology Advisory Council/Proposal#Joining the PTAC as a technical volunteer|Please apply here by August 10]]. * Editors with rollback user-rights who use the Wikipedia App for Android can use the new [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/Anti Vandalism|Edit Patrol]] features. These features include a new feed of Recent Changes, related links such as Undo and Rollback, and the ability to create and save a personal library of user talk messages to use while patrolling. If your wiki wants to make these features available to users who do not have rollback rights but have reached a certain edit threshold, [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android#Contact us|you can contact the team]]. You can [[diffblog:2024/07/10/ِaddressing-vandalism-with-a-tap-the-journey-of-introducing-the-patrolling-feature-in-the-mobile-app/|read more about this project on Diff blog]]. * Editors who have access to [[m:Special:MyLanguage/The_Wikipedia_Library|The Wikipedia Library]] can once again use non-open access content in SpringerLinks, after the Foundation [[phab:T368865|contacted]] them to restore access. You can read more about [[m:Tech/News/Recently_resolved_community_tasks|this and 21 other community-submitted tasks that were completed last week]]. '''Changes later this week''' * This week, [[mw:Special:MyLanguage/Reading/Web/Accessibility for reading/Updates/2024-07 deployments|dark mode will be available on a number of Wikipedias]], both desktop and mobile, for logged-in and logged-out users. Interface admins and user script maintainers are encouraged to check gadgets and user scripts in the dark mode, to find any hard-coded colors and fix them. There are some [[mw:Special:MyLanguage/Recommendations for night mode compatibility on Wikimedia wikis|recommendations for dark mode compatibility]] to help. '''Future changes''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Next week, functionaries, volunteers maintaining tools, and software development teams are invited to test the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] feature on testwiki. Temporary accounts is a feature that will help improve privacy on the wikis. No further temporary account deployments are scheduled yet. Please [[mw:Talk:Trust and Safety Product/Temporary Accounts|share your opinions and questions on the project talk page]]. [https://phabricator.wikimedia.org/T348895] * Editors who upload files cross-wiki, or teach other people how to do so, may wish to join a Wikimedia Commons discussion. The Commons community is discussing limiting who can upload files through the cross-wiki upload/Upload dialog feature to users auto-confirmed on Wikimedia Commons. This is due to the large amount of copyright violations uploaded this way. There is a short summary at [[c:Special:MyLanguage/Commons:Cross-wiki upload|Commons:Cross-wiki upload]] and [[c:Commons:Village pump/Proposals#Deactivate cross-wiki uploads for new users|discussion at Commons:Village Pump]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/29|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' You can also get other news from the [[m:Special:MyLanguage/Wikimedia Foundation Bulletin|Wikimedia Foundation Bulletin]]. </div><section end="technews-2024-W29"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:31, 16 July 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27124561 --> == Tech News: 2024-30 == <section begin="technews-2024-W30"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/30|Translations]] are available. '''Feature News''' * Stewards can now [[:m:Special:MyLanguage/Global_blocks|globally block]] accounts. Before [[phab:T17294|the change]] only IP addresses and IP ranges could be blocked globally. Global account blocks are useful when the blocked user should not be logged out. [[:m:Special:MyLanguage/Global_locks|Global locks]] (a similar tool logging the user out of their account) are unaffected by this change. The new global account block feature is related to the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|Temporary Accounts]] project, which is a new type of user account that replaces IP addresses of unregistered editors that are no longer made public. * Later this week, Wikimedia site users will notice that the Interface of [[mw:Special:MyLanguage/Extension:FlaggedRevs|FlaggedRevs]] (also known as "Pending Changes") is improved and consistent with the rest of the MediaWiki interface and [[mw:Special:MyLanguage/Codex|Wikimedia's design system]]. The FlaggedRevs interface experience on mobile and [[mw:Special:MyLanguage/Skin:MinervaNeue|Minerva skin]] was inconsistent before it was fixed and ported to [[mw:Special:MyLanguage/Codex|Codex]] by the WMF Growth team and some volunteers. [https://phabricator.wikimedia.org/T191156] * Wikimedia site users can now submit account vanishing requests via [[m:Special:GlobalVanishRequest|GlobalVanishRequest]]. This feature is used when a contributor wishes to stop editing forever. It helps you hide your past association and edit to protect your privacy. Once processed, the account will be locked and renamed. [https://phabricator.wikimedia.org/T367329] * Have you tried monitoring and addressing vandalism in Wikipedia using your phone? [https://diff.wikimedia.org/2024/07/10/%d9%90addressing-vandalism-with-a-tap-the-journey-of-introducing-the-patrolling-feature-in-the-mobile-app/ A Diff blog post on Patrolling features in the Mobile App] highlights some of the new capabilities of the feature, including swiping through a feed of recent changes and a personal library of user talk messages for use when patrolling from your phone. * Wikimedia contributors and GLAM (galleries, libraries, archives, and museums) organisations can now learn and measure the impact Wikimedia Commons is having towards creating quality encyclopedic content using the [https://doc.wikimedia.org/generated-data-platform/aqs/analytics-api/reference/commons.html Commons Impact Metrics] analytics dashboard. The dashboard offers organizations analytics on things like monthly edits in a category, the most viewed files, and which Wikimedia articles are using Commons images. As a result of these new data dumps, GLAM organisation can more reliably measure their return on investment for programs bringing content into the digital Commons. [https://diff.wikimedia.org/2024/07/19/commons-impact-metrics-now-available-via-data-dumps-and-api/] '''Project Updates''' * Come share your ideas for improving the wikis on the newly reopened [[m:Special:MyLanguage/Community Wishlist|Community Wishlist]]. The Community Wishlist is Wikimedia’s forum for volunteers to share ideas (called wishes) to improve how the wikis work. The new version of the wishlist is always open, works with both wikitext and Visual Editor, and allows wishes in any language. '''Learn more''' * Have you ever wondered how Wikimedia software works across over 300 languages? This is 253 languages more than the Google Chrome interface, and it's no accident. The Language and Product Localization Team at the Wikimedia Foundation supports your work by adapting all the tools and interfaces in the MediaWiki software so that contributors in our movement who translate pages and strings can translate them and have the sites in all languages. Read more about the team and their upcoming work on [https://diff.wikimedia.org/2024/07/17/building-towards-a-robust-multilingual-knowledge-ecosystem-for-the-wikimedia-movement/ Diff]. * How can Wikimedia build innovative and experimental products while maintaining such heavily used websites? A recent [https://diff.wikimedia.org/2024/07/09/on-the-value-of-experimentation/ blog post] by WMF staff Johan Jönsson highlights the work of the [[m:Future Audiences#Objectives and Key Results|WMF Future Audience initiative]], where the goal is not to build polished products but test out new ideas, such as a [[m:Future_Audiences/Experiments: conversational/generative AI|ChatGPT plugin]] and [[m:Future_Audiences/Experiment:Add a Fact|Add a Fact]], to help take Wikimedia into the future. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/30|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' You can also get other news from the [[m:Special:MyLanguage/Wikimedia Foundation Bulletin|Wikimedia Foundation Bulletin]]. </div><section end="technews-2024-W30"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:04, 23 July 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27142915 --> == Tech News: 2024-31 == <section begin="technews-2024-W31"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/31|Translations]] are available. '''Feature news''' * Editors using the Visual Editor in languages that use non-Latin characters for numbers, such as Hindi, Manipuri and Eastern Arabic, may notice some changes in the formatting of reference numbers. This is a side effect of preparing a new sub-referencing feature, and will also allow fixing some general numbering issues in Visual Editor. If you notice any related problems on your wiki, please share details at the [[m:Talk:WMDE Technical Wishes/Sub-referencing|project talkpage]]. '''Bugs status''' * Some logged-in editors were briefly unable to edit or load pages last week. [[phab:T370304|These errors]] were mainly due to the addition of new [[mw:Special:MyLanguage/Help:Extension:Linter|linter]] rules which led to caching problems. Fixes have been applied and investigations are continuing. * Editors can use the [[mw:Special:MyLanguage/Trust and Safety Product/IP Info|IP Information tool]] to get information about IP addresses. This tool is available as a Beta Feature in your preferences. The tool was not available for a few days last week, but is now working again. Thank you to Shizhao for filing the bug report. You can read about that, and [[m:Tech/News/Recently resolved community tasks#2024-07-25|28 other community-submitted tasks]] that were resolved last week. '''Project updates''' * There are new features and improvements to Phabricator from the Release Engineering and Collaboration Services teams, and some volunteers, including: the search systems, the new task creation system, the login systems, the translation setup which has resulted in support for more languages (thanks to Pppery), and fixes for many edge-case errors. You can [[phab:phame/post/view/316/iterative_improvements/|read details about these and other improvements in this summary]]. * There is an [[mw:Special:MyLanguage/Extension:Chart/Project/Updates|update on the Charts project]]. The team has decided which visualization library to use, which chart types to start focusing on, and where to store chart definitions. * One new wiki has been created: a {{int:project-localized-name-group-wikivoyage}} in [[d:Q9056|Czech]] ([[voy:cs:|<code>voy:cs:</code>]]) [https://phabricator.wikimedia.org/T370905] '''Learn more''' * There is a [[diffblog:2024/07/26/the-journey-to-open-our-first-data-center-in-south-america/|new Wikimedia Foundation data center]] in São Paulo, Brazil which helps to reduce load times. * There is new [[diffblog:2024/07/22/the-perplexing-process-of-uploading-images-to-wikipedia/|user research]] on problems with the process of uploading images. * Commons Impact Metrics are [[diffblog:2024/07/19/commons-impact-metrics-now-available-via-data-dumps-and-api/|now available]] via data dumps and API. * The latest quarterly [[mw:Technical Community Newsletter/2024/July|Technical Community Newsletter]] is now available. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/31|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W31"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:10, 29 July 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27164109 --> == Tech News: 2024-32 == <section begin="technews-2024-W32"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/32|Translations]] are available. '''Feature news''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Two new parser functions will be available this week: <code><nowiki>{{</nowiki>[[mw:Special:MyLanguage/Help:Magic_words#dir|#dir]]<nowiki>}}</nowiki></code> and <code><nowiki>{{</nowiki>[[mw:Special:MyLanguage/Help:Magic_words#bcp47|#bcp47]]<nowiki>}}</nowiki></code>. These will reduce the need for <code>Template:Dir</code> and <code>Template:BCP47</code> on Commons and allow us to [[phab:T343131|drop 100 million rows]] from the "what links here" database. Editors at any wiki that use these templates, can help by replacing the templates with these new functions. The templates at Commons will be updated during the Hackathon at Wikimania. [https://phabricator.wikimedia.org/T359761][https://phabricator.wikimedia.org/T366623] * Communities can request the activation of the visual editor on entire namespaces where discussions sometimes happen (for instance ''Wikipedia:'' or ''Wikisource:'' namespaces) if they understand the [[mw:Special:MyLanguage/Help:VisualEditor/FAQ#WPNS|known limitations]]. For discussions, users can already use [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]] in these namespaces. * The tracking category "Pages using Timeline" has been renamed to "Pages using the EasyTimeline extension" [https://translatewiki.net/wiki/Special:Translations?message=MediaWiki%3ATimeline-tracking-category&namespace=8 in TranslateWiki]. Wikis that have created the category locally should rename their local creation to match. '''Project updates''' * Editors who help to organize WikiProjects and similar on-wiki collaborations, are invited to share ideas and examples of successful collaborations with the Campaigns and Programs teams. You can fill out [[m:Special:MyLanguage/Campaigns/WikiProjects|a brief survey]] or share your thoughts [[m:Talk:Campaigns/WikiProjects|on the talkpage]]. The teams are particularly looking for details about successful collaborations on non-English wikis. * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] The new parser is being rolled out on {{int:project-localized-name-group-wikivoyage}} wikis over the next few months. The {{int:project-localized-name-enwikivoyage}} and {{int:project-localized-name-hewikivoyage}} were [[phab:T365367|switched]] to Parsoid last week. For more information, see [[mw:Parsoid/Parser_Unification|Parsoid/Parser Unification]]. '''Learn more''' * There will be more than 200 sessions at Wikimania this week. Here is a summary of some of the [[diffblog:2024/08/05/interested-in-product-and-tech-here-are-some-wikimania-sessions-you-dont-want-to-miss/|key sessions related to the product and technology area]]. * The latest [[m:Special:MyLanguage/Wikimedia Foundation Bulletin/2024/07-02|Wikimedia Foundation Bulletin]] is available. * The latest quarterly [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Newsletter/2024/July|Language and Internationalization newsletter]] is available. It includes: New design previews for Translatable pages; Updates about MinT for Wiki Readers; the release of Translation dumps; and more. * The latest quarterly [[mw:Special:MyLanguage/Growth/Newsletters/31|Growth newsletter]] is available. * The latest monthly [[mw:Special:MyLanguage/MediaWiki Product Insights/Reports/July 2024|MediaWiki Product Insights newsletter]] is available. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/32|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W32"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:43, 5 August 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27233905 --> == Tech News: 2024-33 == <section begin="technews-2024-W33"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/33|Translations]] are available. '''Feature news''' * [[mw:Special:MyLanguage/Extension:AbuseFilter|AbuseFilter]] editors and maintainers can now [[mw:Special:MyLanguage/Extension:AbuseFilter/Actions#Show a CAPTCHA|make a CAPTCHA show if a filter matches an edit]]. This allows communities to quickly respond to spamming by automated bots. [https://phabricator.wikimedia.org/T20110] * [[m:Special:MyLanguage/Stewards|Stewards]] can now specify if global blocks should prevent account creation. Before [[phab:T17273|this change]] by the [[mw:Special:MyLanguage/Trust and Safety Product|Trust and Safety Product]] Team, all global blocks would prevent account creation. This will allow stewards to reduce the unintended side-effects of global blocks on IP addresses. '''Project updates''' * [[wikitech:Help talk:Toolforge/Toolforge standards committee#August_2024_committee_nominations|Nominations are open on Wikitech]] for new members to refresh the [[wikitech:Help:Toolforge/Toolforge standards committee|Toolforge standards committee]]. The committee oversees the Toolforge [[wikitech:Help:Toolforge/Right to fork policy|Right to fork policy]] and [[wikitech:Help:Toolforge/Abandoned tool policy|Abandoned tool policy]] among other duties. Nominations will remain open until at least 2024-08-26. * One new wiki has been created: a {{int:project-localized-name-group-wikipedia}} in [[d:Q2880037|West Coast Bajau]] ([[w:bdr:|<code>w:bdr:</code>]]) [https://phabricator.wikimedia.org/T371757] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/33|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W33"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:21, 12 August 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27253654 --> == Tech News: 2024-34 == <section begin="technews-2024-W34"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/34|Translations]] are available. '''Feature news''' * Editors who want to re-use references but with different details such as page numbers, will be able to do so by the end of 2024, using a new [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing#Sub-referencing in a nutshell|sub-referencing]] feature. You can read more [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|about the project]] and [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing#Test|how to test the prototype]]. * Editors using tracking categories to identify which pages use specific extensions may notice that six of the categories have been renamed to make them more easily understood and consistent. These categories are automatically added to pages that use specialized MediaWiki extensions. The affected names are for: [https://translatewiki.net/wiki/Special:Translations?message=MediaWiki%3Aintersection-category&namespace=8 DynamicPageList], [https://translatewiki.net/wiki/Special:Translations?message=MediaWiki%3Akartographer-tracking-category&namespace=8 Kartographer], [https://translatewiki.net/wiki/Special:Translations?message=MediaWiki%3Aphonos-tracking-category&namespace=8 Phonos], [https://translatewiki.net/wiki/Special:Translations?message=MediaWiki%3Arss-tracking-category&namespace=8 RSS], [https://translatewiki.net/wiki/Special:Translations?message=MediaWiki%3Ascore-use-category&namespace=8 Score], [https://translatewiki.net/wiki/Special:Translations?message=MediaWiki%3Awikihiero-usage-tracking-category&namespace=8 WikiHiero]. Wikis that have created the category locally should rename their local creation to match. Thanks to Pppery for these improvements. [https://phabricator.wikimedia.org/T347324] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Technical volunteers who edit modules and want to get a list of the categories used on a page, can now do so using the <code><bdi lang="zxx" dir="ltr">categories</bdi></code> property of <code><bdi lang="zxx" dir="ltr">[[mediawikiwiki:Special:MyLanguage/Extension:Scribunto/Lua reference manual#Title objects|mw.title objects]]</bdi></code>. This enables wikis to configure workflows such as category-specific edit notices. Thanks to SD001 for these improvements. [https://phabricator.wikimedia.org/T50175][https://phabricator.wikimedia.org/T85372] '''Bugs status''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Your help is needed to check if any pages need to be moved or deleted. A maintenance script was run to clean up unreachable pages (due to Unicode issues or introduction of new namespaces/namespace aliases). The script tried to find appropriate names for the pages (e.g. by following the Unicode changes or by moving pages whose titles on Wikipedia start with <code>Talk:WP:</code> so that their titles start with <code>Wikipedia talk:</code>), but it may have failed for some pages, and moved them to <bdi lang="zxx" dir="ltr">[[Special:PrefixIndex/T195546/]]</bdi> instead. Your community should check if any pages are listed there, and move them to the correct titles, or delete them if they are no longer needed. A full log (including pages for which appropriate names could be found) is available in [[phab:P67388]]. * Editors who volunteer as [[mw:Special:MyLanguage/Help:Growth/Mentorship|mentors]] to newcomers on their wiki are once again able to access lists of potential mentees who they can connect with to offer help and guidance. This functionality was restored thanks to [[phab:T372164|a bug fix]]. Thank you to Mbch331 for filing the bug report. You can read about that, and 18 other community-submitted tasks that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. '''Project updates''' * The application deadline for the [[m:Special:MyLanguage/Product and Technology Advisory Council/Proposal|Product & Technology Advisory Council]] (PTAC) has been extended to September 16. Members will help by providing advice to Foundation Product and Technology leadership on short and long term plans, on complex strategic problems, and help to get feedback from more contributors and technical communities. Selected members should expect to spend roughly 5 hours per month for the Council, during the one year pilot. Please consider applying, and spread the word to volunteers you think would make a positive contribution to the committee. '''Learn more''' * The [[m:Special:MyLanguage/Coolest Tool Award#2024 Winners|2024 Coolest Tool Awards]] were awarded at Wikimania, in seven categories. For example, one award went to the ISA Tool, used for adding structured data to files on Commons, which was recently improved during the [[m:Event:Wiki Mentor Africa ISA Hackathon 2024|Wiki Mentor Africa Hackathon]]. You can see video demonstrations of each tool at the awards page. Congratulations to this year's recipients, and thank you to all tool creators and maintainers. * The latest [[m:Special:MyLanguage/Wikimedia Foundation Bulletin/2024/08-01|Wikimedia Foundation Bulletin]] is available, and includes some highlights from Wikimania, an upcoming Language community meeting, and other news from the movement. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/34|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W34"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:54, 20 August 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27307284 --> == Tech News: 2024-35 == <section begin="technews-2024-W35"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/35|Translations]] are available. '''Feature news''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Administrators can now test the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] feature on test2wiki. This was done to allow cross-wiki testing of temporary accounts, for when temporary accounts switch between projects. The feature was enabled on testwiki a few weeks ago. No further temporary account deployments are scheduled yet. Temporary Accounts is a project to create a new type of user account that replaces IP addresses of unregistered editors which are no longer made public. Please [[mw:Talk:Trust and Safety Product/Temporary Accounts|share your opinions and questions on the project talk page]]. * Later this week, editors at wikis that use [[mw:Special:MyLanguage/Extension:FlaggedRevs|FlaggedRevs]] (also known as "Pending Changes") may notice that the indicators at the top of articles have changed. This change makes the system more consistent with the rest of the MediaWiki interface. [https://phabricator.wikimedia.org/T191156] '''Bugs status''' * Editors who use the 2010 wikitext editor, and use the Character Insert buttons, will [[phab:T361465|no longer]] experience problems with the buttons adding content into the edit-summary instead of the edit-window. You can read more about that, and 26 other community-submitted tasks that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. '''Project updates''' * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] Please review and vote on [[m:Special:MyLanguage/Community Wishlist/Focus areas|Focus Areas]], which are groups of wishes that share a problem. Focus Areas were created for the newly reopened Community Wishlist, which is now open year-round for submissions. The first batch of focus areas are specific to moderator workflows, around welcoming newcomers, minimizing repetitive tasks, and prioritizing tasks. Once volunteers have reviewed and voted on focus areas, the Foundation will then review and select focus areas for prioritization. * Do you have a project and are willing to provide a three (3) month mentorship for an intern? [[mw:Special:MyLanguage/Outreachy|Outreachy]] is a twice a year program for people to participate in a paid internship that will start in December 2024 and end in early March 2025, and they need mentors and projects to work on. Projects can be focused on coding or non-coding (design, documentation, translation, research). See the Outreachy page for more details, and a list of past projects since 2013. '''Learn more''' * If you're curious about the product and technology improvements made by the Wikimedia Foundation last year, read [[diffblog:2024/08/21/wikimedia-foundation-product-technology-improving-the-user-experience/|this recent highlights summary on Diff]]. * To learn more about the technology behind the Wikimedia projects, you can now watch sessions from the technology track at Wikimania 2024 on Commons. This week, check out: ** [[c:File:Wikimania 2024 - Ohrid - Day 2 - Community Configuration - Shaping On-Wiki Functionality Together.webm|Community Configuration - Shaping On-Wiki Functionality Together]] (55 mins) - about the [[mw:Special:MyLanguage/Community Configuration|Community Configuration]] project. ** [[c:File:Wikimania 2024 - Belgrade - Day 1 - Future of MediaWiki. A sustainable platform to support a collaborative user base and billions of page views.webm|Future of MediaWiki. A sustainable platform to support a collaborative user base and billions of page views]] (30 mins) - an overview for both technical and non technical audiences, covering some of the challenges and open questions, related to the [[mw:MediaWiki Product Insights|platform evolution, stewardship and developer experiences]] research. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/35|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W35"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:33, 26 August 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27341211 --> == Tech News: 2024-36 == <section begin="technews-2024-W36"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/36|Translations]] are available. '''Weekly highlight''' * Editors and volunteer developers interested in data visualisation can now test the new software for charts. Its early version is available on beta Commons and beta Wikipedia. This is an important milestone before making charts available on regular wikis. You can [[mw:Special:MyLanguage/Extension:Chart/Project/Updates|read more about this project update]] and help to test the charts. '''Feature news''' * Editors who use the [[{{#special:Unusedtemplates}}]] page can now filter out pages which are expected to be there permanently, such as sandboxes, test-cases, and templates that are always substituted. Editors can add the new magic word [[mw:Special:MyLanguage/Help:Magic words#EXPECTUNUSEDTEMPLATE|<code dir="ltr"><nowiki>__EXPECTUNUSEDTEMPLATE__</nowiki></code>]] to a template page to hide it from the listing. Thanks to Sophivorus and DannyS712 for these improvements. [https://phabricator.wikimedia.org/T184633] * Editors who use the New Topic tool on discussion pages, will [[phab:T334163|now be reminded]] to add a section header, which should help reduce the quantity of newcomers who add sections without a header. You can read more about that, and {{formatnum:28}} other community-submitted tasks that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. * Last week, some Toolforge tools had occasional connection problems. The cause is still being investigated, but the problems have been resolved for now. [https://phabricator.wikimedia.org/T373243] * Translation administrators at multilingual wikis, when editing multiple translation units, can now easily mark which changes require updates to the translation. This is possible with the [[phab:T298852#10087288|new dropdown menu]]. '''Project updates''' * A new draft text of a policy discussing the use of Wikimedia's APIs [[m:Special:MyLanguage/API Policy Update 2024|has been published on Meta-Wiki]]. The draft text does not reflect a change in policy around the APIs; instead, it is an attempt to codify existing API rules. Comments, questions, and suggestions are welcome on [[m:Talk:API Policy Update 2024|the proposed update’s talk page]] until September 13 or until those discussions have concluded. '''Learn more''' * To learn more about the technology behind the Wikimedia projects, you can now watch sessions from the technology track at Wikimania 2024 on Commons. This week, check out: ** [[c:File:Wikimania 2024 - Ohrid - Day 2 - Charts, the successor of Graphs - A secure and extensible tool for data visualization.webm|Charts, the successor of Graphs - A secure and extensible tool for data visualization]] (25 mins) – about the above-mentioned Charts project. ** [[c:File:Wikimania 2024 - Ohrid - Day 3 - State of Language Technology and Onboarding at Wikimedia.webm|State of Language Technology and Onboarding at Wikimedia]] (90 mins) – about some of the language tools that support Wikimedia sites, such as [[mw:Special:MyLanguage/Content translation|Content]]/[[mw:Special:MyLanguage/Content translation/Section translation|Section Translation]], [[mw:Special:MyLanguage/MinT|MinT]], and LanguageConverter; also the current state and future of languages onboarding. [https://phabricator.wikimedia.org/T368772] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/36|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W36"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:07, 3 September 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27390268 --> == Tech News: 2024-37 == <section begin="technews-2024-W37"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/37|Translations]] are available. '''Feature news''' * Starting this week, the standard [[mw:Special:MyLanguage/Extension:CodeMirror|syntax highlighter]] will receive new colors that make them compatible in dark mode. This is the first of many changes to come as part of a major upgrade to syntax highlighting. You can learn more about what's to come on the [[mw:Special:MyLanguage/Help:Extension:CodeMirror|help page]]. [https://phabricator.wikimedia.org/T365311][https://phabricator.wikimedia.org/T259059] * Editors of wikis using Wikidata will now be notified of only relevant Wikidata changes in their watchlist. This is because the Lua functions <bdi lang="zxx" dir="ltr"><code>entity:getSitelink()</code></bdi> and <bdi lang="zxx" dir="ltr"><code>mw.wikibase.getSitelink(qid)</code></bdi> will have their logic unified for tracking different aspects of sitelinks to reduce junk notifications from [[m:Wikidata For Wikimedia Projects/Projects/Watchlist Wikidata Sitelinks Tracking|inconsistent sitelinks tracking]]. [https://phabricator.wikimedia.org/T295356] '''Project updates''' * Users of all Wikis will have access to Wikimedia sites as read-only for a few minutes on September 25, starting at 15:00 UTC. This is a planned datacenter switchover for maintenance purposes. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T370962] * Contributors of [[phab:T363538#10123348|11 Wikipedias]], including English will have a new <bdi lang="zxx" dir="ltr"><code>MOS</code></bdi> namespace added to their Wikipedias. This improvement ensures that links beginning with <bdi lang="zxx" dir="ltr"><code>MOS:</code></bdi> (usually shortcuts to the [[w:en:Wikipedia:Manual of Style|Manual of Style]]) are not broken by [[w:en:Mooré|Mooré]] Wikipedia (language code <bdi lang="zxx" dir="ltr"><code>mos</code></bdi>). [https://phabricator.wikimedia.org/T363538] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/37|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W37"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:52, 9 September 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27424457 --> == Tech News: 2024-38 == <section begin="technews-2024-W38"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/38|Translations]] are available. '''Improvements and Maintenance''' * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] Editors interested in templates can help by reading the latest Wishlist focus area, [[m:Special:MyLanguage/Community Wishlist/Focus areas/Template recall and discovery|Template recall and discovery]], and share your feedback on the talkpage. This input helps the Community Tech team to decide the right technical approach to build. Everyone is also encouraged to continue adding [[m:Special:MyLanguage/Community Wishlist|new wishes]]. * The new automated [[{{#special:NamespaceInfo}}]] page helps editors understand which [[mw:Special:MyLanguage/Help:Namespaces|namespaces]] exist on each wiki, and some details about how they are configured. Thanks to DannyS712 for these improvements. [https://phabricator.wikimedia.org/T263513] * [[mw:Special:MyLanguage/Help:Edit check#Reference check|References Check]] is a feature that encourages editors to add a citation when they add a new paragraph to a Wikipedia article. For a short time, the corresponding tag "Edit Check (references) activated" was erroneously being applied to some edits outside of the main namespace. This has been fixed. [https://phabricator.wikimedia.org/T373692] * It is now possible for a wiki community to change the order in which a page’s categories are displayed on their wiki. By default, categories are displayed in the order they appear in the wikitext. Now, wikis with a consensus to do so can [[m:Special:MyLanguage/Requesting wiki configuration changes|request]] a configuration change to display them in alphabetical order. [https://phabricator.wikimedia.org/T373480] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Tool authors can now access ToolsDB's [[wikitech:Portal:Data Services#ToolsDB|public databases]] from both [[m:Special:MyLanguage/Research:Quarry|Quarry]] and [[wikitech:Superset|Superset]]. Those databases have always been accessible to every [[wikitech:Portal:Toolforge|Toolforge]] user, but they are now more broadly accessible, as Quarry can be accessed by anyone with a Wikimedia account. In addition, Quarry's internal database can now be [[m:Special:MyLanguage/Research:Quarry#Querying Quarry's own database|queried from Quarry itself]]. This database contains information about all queries that are being run and starred by users in Quarry. This information was already public through the web interface, but you can now query it using SQL. You can read more about that, and {{formatnum:20}} other community-submitted tasks that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. * Any pages or tools that still use the very old CSS classes <bdi lang="zxx" dir="ltr"><code>mw-message-box</code></bdi> need to be updated. These old classes will be removed next week or soon afterwards. Editors can use a [https://global-search.toolforge.org/?q=mw-message-box&regex=1&namespaces=&title= global-search] to determine what needs to be changed. It is possible to use the newer <bdi lang="zxx" dir="ltr"><code>cdx-message</code></bdi> group of classes as a replacement (see [https://doc.wikimedia.org/codex/latest/components/demos/message.html#css-only-version the relevant Codex documentation], and [https://meta.wikimedia.org/w/index.php?title=Tech/Header&diff=prev&oldid=27449042 an example update]), but using locally defined onwiki classes would be best. [https://phabricator.wikimedia.org/T374499] '''Technical project updates''' * Next week, all Wikimedia wikis will be read-only for a few minutes. This will start on September 25 at [https://zonestamp.toolforge.org/1727276400 15:00 UTC]. This is a planned datacenter switchover for maintenance purposes. [[m:Special:MyLanguage/Tech/Server switch|This maintenance process also targets other services.]] The previous switchover took 3 minutes, and the Site Reliability Engineering teams use many tools to make sure that this essential maintenance work happens as quickly as possible. [https://phabricator.wikimedia.org/T370962] '''Tech in depth''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] The latest monthly [[mw:Special:MyLanguage/MediaWiki Product Insights/Reports/August 2024|MediaWiki Product Insights newsletter]] is available. This edition includes details about: research about [[mw:Special:MyLanguage/Manual:Hooks|hook]] handlers to help simplify development, research about performance improvements, work to improve the REST API for end-users, and more. * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] To learn more about the technology behind the Wikimedia projects, you can now watch sessions from the technology track at Wikimania 2024 on Commons. This week, check out: ** [[c:File:Wikimania 2024 - Auditorium Kyiv - Day 4 - Hackathon Showcase.webm|Hackathon Showcase]] (45 mins) - 19 short presentations by some of the Hackathon participants, describing some of the projects they worked on, such as automated testing of maintenance scripts, a video-cutting command line tool, and interface improvements for various tools. There are [[phab:T369234|more details and links available]] in the Phabricator task. ** [[c:File:Co-Creating a Sustainable Future for the Toolforge Ecosystem.webm|Co-Creating a Sustainable Future for the Toolforge Ecosystem]] (40 mins) - a roundtable discussion for tool-maintainers, users, and supporters of Toolforge about how to make the platform sustainable and how to evaluate the tools available there. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/38|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W38"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:02, 17 September 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27460876 --> == Tech News: 2024-39 == <section begin="technews-2024-W39"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/39|Translations]] are available. '''Weekly highlight''' * All wikis will be [[m:Special:MyLanguage/Tech/Server switch|read-only]] for a few minutes on Wednesday September 25 at [https://zonestamp.toolforge.org/1727276400 15:00 UTC]. Reading the wikis will not be interrupted, but editing will be paused. These twice-yearly processes allow WMF's site reliability engineering teams to remain prepared to keep the wikis functioning even in the event of a major interruption to one of our data centers. '''Updates for editors''' [[File:Add alt text from a halfsheet, with the article behind.png|thumb|A screenshot of the interface for the Alt Text suggested-edit feature]] * Editors who use the iOS Wikipedia app in Spanish, Portuguese, French, or Chinese, may see the [[mw:Special:MyLanguage/Wikimedia Apps/iOS Suggested edits project/Alt Text Experiment|Alt Text suggested-edit experiment]] after editing an article, or completing a suggested edit using "[[mw:Special:MyLanguage/Wikimedia Apps/iOS Suggested edits project#Hypothesis 2 Add an Image Suggested Edit|Add an image]]". Alt-text helps people with visual impairments to read Wikipedia articles. The team aims to learn if adding alt-text to images is a task that editors can be successful with. Please share any feedback on [[mw:Talk:Wikimedia Apps/iOS Suggested edits project/Alt Text Experiment|the discussion page]]. * The Codex color palette has been updated with new and revised colors for the MediaWiki user interfaces. The [[mw:Special:MyLanguage/Design System Team/Color/Design documentation#Updates|most noticeable changes]] for editors include updates for: dark mode colors for Links and for quiet Buttons (progressive and destructive), visited Link colors for both light and dark modes, and background colors for system-messages in both light and dark modes. * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] It is now possible to include clickable wikilinks and external links inside code blocks. This includes links that are used within <code><nowiki><syntaxhighlight></nowiki></code> tags and on code pages (JavaScript, CSS, Scribunto and Sanitized CSS). Uses of template syntax <code><nowiki>{{…}}</nowiki></code> are also linked to the template page. Thanks to SD0001 for these improvements. [https://phabricator.wikimedia.org/T368166] * Two bugs were fixed in the [[m:Special:MyLanguage/Account vanishing|GlobalVanishRequest]] system by improving the logging and by removing an incorrect placeholder message. [https://phabricator.wikimedia.org/T370595][https://phabricator.wikimedia.org/T372223] * View all {{formatnum:25}} community-submitted {{PLURAL:25|task|tasks}} that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] From [[m:Special:MyLanguage/Wikimedia Enterprise|Wikimedia Enterprise]]: ** The API now enables 5,000 on-demand API requests per month and twice-monthly HTML snapshots freely (gratis and libre). More information on the updates and also improvements to the software development kits (SDK) are explained on [https://enterprise.wikimedia.com/blog/enhanced-free-api/ the project's blog post]. While Wikimedia Enterprise APIs are designed for high-volume commercial reusers, this change enables many more community use-cases to be built on the service too. ** The Snapshot API (html dumps) have added beta Structured Contents endpoints ([https://enterprise.wikimedia.com/blog/structured-contents-snapshot-api/ blog post on that]) as well as released two beta datasets (English and French Wikipedia) from that endpoint to Hugging Face for public use and feedback ([https://enterprise.wikimedia.com/blog/hugging-face-dataset/ blog post on that]). These pre-parsed data sets enable new options for researchers, developers, and data scientists to use and study the content. '''In depth''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] The Wikidata Query Service (WDQS) is used to get answers to questions using the Wikidata data set. As Wikidata grows, we had to make a major architectural change so that WDQS could remain performant. As part of the [[d:Special:MyLanguage/Wikidata:SPARQL query service/WDQS graph split|WDQS Graph Split project]], we have new SPARQL endpoints available for serving the "[https://query-scholarly.wikidata.org scholarly]" and "[https://query-main.wikidata.org main]" subgraphs of Wikidata. The [http://query.wikidata.org query.wikidata.org endpoint] will continue to serve the full Wikidata graph until March 2025. After this date, it will only serve the main graph. For more information, please see [[d:Special:MyLanguage/Wikidata:SPARQL query service/WDQS backend update/September 2024 scaling update|the announcement on Wikidata]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/39|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W39"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:36, 23 September 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27493779 --> == Tech News: 2024-40 == <section begin="technews-2024-W40"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/40|Translations]] are available. '''Updates for editors''' * Readers of [[phab:T375401|42 more wikis]] can now use Dark Mode. If the option is not yet available for logged-out users of your wiki, this is likely because many templates do not yet display well in Dark Mode. Please use the [https://night-mode-checker.wmcloud.org/ night-mode-checker tool] if you are interested in helping to reduce the number of issues. The [[mw:Special:MyLanguage/Recommendations for night mode compatibility on Wikimedia wikis|recommendations page]] provides guidance on this. Dark Mode is enabled on additional wikis once per month. * Editors using the 2010 wikitext editor as their default can access features from the 2017 wikitext editor by adding <code dir=ltr>?veaction=editsource</code> to the URL. If you would like to enable the 2017 wikitext editor as your default, it can be set in [[Special:Preferences#mw-input-wpvisualeditor-newwikitext|your preferences]]. [https://phabricator.wikimedia.org/T239796] * For logged-out readers using the Vector 2022 skin, the "donate" link has been moved from a collapsible menu next to the content area into a more prominent top menu, next to "Create an account". This restores the link to the level of prominence it had in the Vector 2010 skin. [[mw:Readers/2024 Reader and Donor Experiences#Donor Experiences (Key Result WE 3.2 and the related hypotheses)|Learn more]] about the changes related to donor experiences. [https://phabricator.wikimedia.org/T373585] * The CampaignEvents extension provides tools for organizers to more easily manage events, communicate with participants, and promote their events on the wikis. The extension has been [[m:Special:MyLanguage/CampaignEvents/Deployment status|enabled]] on Arabic Wikipedia, Igbo Wikipedia, Swahili Wikipedia, and Meta-Wiki. [[w:zh:Wikipedia:互助客栈/其他#引進CampaignEvents擴充功能|Chinese Wikipedia has decided]] to enable the extension, and discussions on the extension are in progress [[w:es:Wikipedia:Votaciones/2024/Sobre la política de Organizadores de Eventos|on Spanish Wikipedia]] and [[d:Wikidata:Project chat#Enabling the CampaignEvents Extention on Wikidata|on Wikidata]]. To learn how to enable the extension on your wiki, you can visit [[m:Special:MyLanguage/CampaignEvents|the CampaignEvents page on Meta-Wiki]]. * View all {{formatnum:22}} community-submitted {{PLURAL:22|task|tasks}} that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Developers with an account on Wikitech-wiki should [[wikitech:Wikitech/SUL-migration|check if any action is required]] for their accounts. The wiki is being changed to use the single-user-login (SUL) system, and other configuration changes. This change will help reduce the overall complexity for the weekly software updates across all our wikis. '''In depth''' * The [[m:Special:MyLanguage/Tech/Server switch|server switch]] was completed successfully last week with a read-only time of [[wikitech:Switch Datacenter#Past Switches|only 2 minutes 46 seconds]]. This periodic process makes sure that engineers can switch data centers and keep all of the wikis available for readers, even if there are major technical issues. It also gives engineers a chance to do maintenance and upgrades on systems that normally run 24 hours a day, and often helps to reveal weaknesses in the infrastructure. The process involves dozens of software services and hundreds of hardware servers, and requires multiple teams working together. Work over the past few years has reduced the time from 17 minutes down to 2–3 minutes. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/66ZW7B2MG63AESQVTXDIFQBDBS766JGW/] '''Meetings and events''' * October 4–6: [[m:Special:MyLanguage/WikiIndaba conference 2024|WikiIndaba Conference's Hackathon]] in Johannesburg, South Africa * November 4–6: [[mw:Special:MyLanguage/MediaWiki Users and Developers Conference Fall 2024|MediaWiki Users and Developers Conference Fall 2024]] in Vienna, Austria '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/40|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W40"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:20, 30 September 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27530062 --> == Tech News: 2024-41 == <section begin="technews-2024-W41"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/41|Translations]] are available. '''Weekly highlight''' * Communities can now request installation of [[mw:Special:MyLanguage/Moderator Tools/Automoderator|Automoderator]] on their wiki. Automoderator is an automated anti-vandalism tool that reverts bad edits based on scores from the new "Revert Risk" machine learning model. You can [[mw:Special:MyLanguage/Extension:AutoModerator/Deploying|read details about the necessary steps]] for installation and configuration. [https://phabricator.wikimedia.org/T336934] '''Updates for editors''' * Translators in wikis where [[mw:Special:MyLanguage/Content translation/Section translation#Try the tool|the mobile experience of Content Translation is available]], can now customize their articles suggestion list from 41 filtering options when using the tool. This topic-based article suggestion feature makes it easy for translators to self-discover relevant articles based on their area of interest and translate them. You can [https://test.wikipedia.org/w/index.php?title=Special:ContentTranslation&active-list=suggestions try it with your mobile device]. [https://phabricator.wikimedia.org/T368422] * View all {{formatnum:12}} community-submitted {{PLURAL:12|task|tasks}} that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * It is now possible for <bdi lang="zxx" dir="ltr"><code><nowiki><syntaxhighlight></nowiki></code></bdi> code blocks to offer readers a "Copy" button if the <bdi lang="zxx" dir="ltr"><code><nowiki>copy=1</nowiki></code></bdi> attribute is [[mw:Special:MyLanguage/Extension:SyntaxHighlight#copy|set on the tag]]. Thanks to SD0001 for these improvements. [https://phabricator.wikimedia.org/T40932] * Customized copyright footer messages on all wikis will be updated. The new versions will use wikitext markup instead of requiring editing raw HTML. [https://phabricator.wikimedia.org/T375789] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Later this month, [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] will be rolled out on several pilot wikis. The final list of the wikis will be published in the second half of the month. If you maintain any tools, bots, or gadgets on [[phab:T376499|these 11 wikis]], and your software is using data about IP addresses or is available for logged-out users, please check if it needs to be updated to work with temporary accounts. [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/For developers|Guidance on how to update the code is available]]. * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Rate limiting has been enabled for the code review tools [[Wikitech:Gerrit|Gerrit]] and [[Wikitech:GitLab|GitLab]] to address ongoing issues caused by malicious traffic and scraping. Clients that open too many concurrent connections will be restricted for a few minutes. This rate limiting is managed through [[Wikitech:nftables|nftables]] firewall rules. For more details, see Wikitech's pages on [[Wikitech:Firewall#Throttling with nftables|Firewall]], [[Wikitech:GitLab/Abuse and rate limiting|GitLab limits]] and [[Wikitech:Gerrit/Operations#Throttling IPs|Gerrit operations]]. * Five new wikis have been created: ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q49224|Komering]] ([[w:kge:|<code>w:kge:</code>]]) [https://phabricator.wikimedia.org/T374813] ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q36096|Mooré]] ([[m:mos:|<code>m:mos:</code>]]) [https://phabricator.wikimedia.org/T374641] ** a {{int:project-localized-name-group-wiktionary}} in [[d:Q36213|Madurese]] ([[wikt:mad:|<code>wikt:mad:</code>]]) [https://phabricator.wikimedia.org/T374968] ** a {{int:project-localized-name-group-wikiquote}} in [[d:Q2501174|Gorontalo]] ([[q:gor:|<code>q:gor:</code>]]) [https://phabricator.wikimedia.org/T375088] ** a {{int:project-localized-name-group-wikinews}} in [[d:Q56482|Shan]] ([[n:shn:|<code>n:shn:</code>]]) [https://phabricator.wikimedia.org/T375430] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/41|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W41"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:42, 7 October 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27557422 --> == Tech News: 2024-42 == <section begin="technews-2024-W42"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/42|Translations]] are available. '''Updates for editors''' * The Structured Discussion extension (also known as Flow) is starting to be removed. This extension is unmaintained and causes issues. It will be replaced by [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]], which is used on any regular talk page. [[mw:Special:MyLanguage/Structured Discussions/Deprecation#Deprecation timeline|A first set of wikis]] are being contacted. These wikis are invited to stop using Flow, and to move all Flow boards to sub-pages, as archives. At these wikis, a script will move all Flow pages that aren't a sub-page to a sub-page automatically, starting on 22 October 2024. On 28 October 2024, all Flow boards at these wikis will be set in read-only mode. [https://www.mediawiki.org/wiki/Structured_Discussions/Deprecation][https://phabricator.wikimedia.org/T370722] * WMF's Search Platform team is working on making it easier for readers to perform text searches in their language. A [[phab:T332342|change last week]] on over 30 languages makes it easier to find words with accents and other diacritics. This applies to both full-text search and to types of advanced search such as the <bdi lang="en" dir="ltr">''hastemplate''</bdi> and <bdi lang="en" dir="ltr">''incategory''</bdi> keywords. More technical details (including a few other minor search upgrades) are available. [https://www.mediawiki.org/wiki/User:TJones_%28WMF%29/Notes/Language_Analyzer_Harmonization_Notes#ASCII-folding/ICU-folding_%28T332342%29] * View all {{formatnum:20}} community-submitted {{PLURAL:20|task|tasks}} that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. For example, [[mw:Special:MyLanguage/Help:Edit check|EditCheck]] was installed at Russian Wikipedia, and fixes were made for some missing user interface styles. '''Updates for technical contributors''' * Editors who use the Toolforge tool [[toolforge:copyvios|Earwig's Copyright Violation Detector]] will now be required to log in with their Wikimedia account before running checks using the "search engine" option. This change is needed to help prevent external bots from misusing the system. Thanks to Chlod for these improvements. [https://en.wikipedia.org/wiki/Wikipedia_talk:New_pages_patrol/Reviewers#Authentication_is_now_required_for_search_engine_checks_on_Earwig's_Copyvio_Tool] * [[m:Special:MyLanguage/Phabricator|Phabricator]] users can create tickets and add comments on existing tickets via Email again. [[mw:Special:MyLanguage/Phabricator/Help#Using email|Sending email to Phabricator]] has been fixed. [https://phabricator.wikimedia.org/T356077] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Some HTML elements in the interface are now wrapped with a <code><nowiki><bdi></nowiki></code> element, to make our HTML output more aligned with Web standards. More changes like this will be coming in future weeks. This change might break some tools that rely on the previous HTML structure of the interface. Note that relying on the HTML structure of the interface is [[mw:Special:MyLanguage/Stable interface policy/Frontend#What is not stable?|not recommended]] and might break at any time. [https://phabricator.wikimedia.org/T375975] '''In depth''' * The latest monthly [[mw:Special:MyLanguage/MediaWiki Product Insights/Reports/September 2024|MediaWiki Product Insights newsletter]] is available. This edition includes: updates on Wikimedia's authentication system, research to simplify feature development in the MediaWiki platform, updates on Parser Unification and MathML rollout, and more. * The latest quarterly [[mw:Technical Community Newsletter/2024/October|Technical Community Newsletter]] is now available. This edition include: research about improving topic suggestions related to countries, improvements to PHPUnit tests, and more. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/42|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W42"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:21, 14 October 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27597254 --> == Tech News: 2024-43 == <section begin="technews-2024-W43"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/43|Translations]] are available. '''Weekly highlight''' * The Mobile Apps team has released an [[mw:Special:MyLanguage/Wikimedia Apps/Team/iOS/Navigation Refresh#Phase 1: Creating a user Profile Menu (T373714)|update]] to the iOS app's navigation, and it is now available in the latest App store version. The team added a new Profile menu that allows for easy access to editor features like Notifications and Watchlist from the Article view, and brings the "Donate" button into a more accessible place for users who are reading an article. This is the first phase of a larger planned [[mw:Special:MyLanguage/Wikimedia Apps/Team/iOS/Navigation Refresh|navigation refresh]] to help the iOS app transition from a primarily reader-focused app, to an app that fully supports reading and editing. The Wikimedia Foundation has added more editing features and support for on-wiki communication based on volunteer requests in recent years. [[File:IOS App Navigation refresh first phase 05.png|thumb|iOS Wikipedia App's profile menu and contents]] '''Updates for editors''' * Wikipedia readers can now download a browser extension to experiment with some early ideas on potential features that recommend articles for further reading, automatically summarize articles, and improve search functionality. For more details and to stay updated, check out the Web team's [[mw:Special:MyLanguage/Reading/Web/Content Discovery Experiments|Content Discovery Experiments page]] and [[mw:Special:MyLanguage/Newsletter:Web team's projects|subscribe to their newsletter]]. * Later this month, logged-out editors of [[phab:T376499|these 12 wikis]] will start to have [[mw:Special:Mylanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] created. The list may slightly change - some wikis may be removed but none will be added. Temporary account is a new [[mw:Special:MyLanguage/User account types|type of user account]]. It enhances the logged-out editors' privacy and makes it easier for community members to communicate with them. If you maintain any tools, bots, or gadgets on these 12 wikis, and your software is using data about IP addresses or is available for logged-out users, please check if it needs to be updated to work with temporary accounts. [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/For developers|Guidance on how to update the code is available]]. Read more about the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/Updates|deployment plan across all wikis]]. * View all {{formatnum:33}} community-submitted {{PLURAL:33|task|tasks}} that were [[m:Tech/News/Recently resolved community tasks|resolved last week]]. For example, the [[w:nr:Main Page|South Ndebele]], [[w:rsk:Главни бок|Pannonian Rusyn]], [[w:ann:Uwu|Obolo]], [[w:iba:Lambar Keterubah|Iban]] and [[w:tdd:ᥞᥨᥝᥴ ᥘᥣᥲ ᥖᥥᥰ|Tai Nüa]] Wikipedia languages were created last week. [https://www.wikidata.org/wiki/Q36785][https://www.wikidata.org/wiki/Q35660][https://www.wikidata.org/wiki/Q36614][https://www.wikidata.org/wiki/Q33424][https://www.wikidata.org/wiki/Q36556] * It is now possible to create functions on Wikifunctions using Wikidata lexemes, through the new [[f:Z6005|Wikidata lexeme type]] launched last week. When you go to one of these functions, the user interface provides a lexeme selector that helps you pick a lexeme from Wikidata that matches the word you type. After hitting run, your selected lexeme is retrieved from Wikidata, transformed into a Wikidata lexeme type, and passed into the selected function. Read more about this in [[f:Special:MyLanguage/Wikifunctions:Status updates/2024-10-17#Function of the Week: select representation from lexeme|the latest Wikifunctions newsletter]]. '''Updates for technical contributors''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Users of the Wikimedia sites can now format dates more easily in different languages with the new <code dir="ltr">{{[[mw:Special:MyLanguage/Help:Extension:ParserFunctions##timef|#timef]]:…}}</code> parser function. For example, <code dir="ltr"><nowiki>{{#timef:now|date|en}}</nowiki></code> will show as "<bdi lang="en" dir="ltr">{{#timef:now|date|en}}</bdi>". Previously, <code dir="ltr"><nowiki>{{#time:…}}</nowiki></code> could be used to format dates, but this required knowledge of the order of the time and date components and their intervening punctuation. <code dir="ltr">#timef</code> (or <code dir="ltr">#timefl</code> for local time) provides access to the standard date formats that MediaWiki uses in its user interface. This may help to simplify some templates on multi-lingual wikis like Commons and Meta. [https://phabricator.wikimedia.org/T223772][https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Extension:ParserFunctions##timef] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Commons and Meta users can now efficiently [[mw:Special:MyLanguage/Help:Magic words#Localization|retrieve the user's language]] using <code dir="ltr"><nowiki>{{USERLANGUAGE}}</nowiki></code> instead of using <code dir="ltr"><nowiki>{{int:lang}}</nowiki></code>. [https://phabricator.wikimedia.org/T4085] * The [[m:Special:MyLanguage/Product and Technology Advisory Council|Product and Tech Advisory Council]] (PTAC) now has its pilot members with representation across Africa, Asia, Europe, North America and South America. They will work to address the [[Special:MyLanguage/Movement Strategy/Initiatives/Technology Council|Movement Strategy's Technology Council]] initiative of having a co-defined and more resilient technological platform. [https://meta.wikimedia.org/wiki/Movement_Strategy/Initiatives/Technology_Council] '''In depth''' * The latest quarterly [[mw:Special:MyLanguage/Growth/Newsletters/32|Growth newsletter]] is available. It includes: an upcoming Newcomer Homepage Community Updates module, new Community Configuration options, and details on new projects. * The Wikimedia Foundation is [[mw:Special:MyLanguage/Wikimedia Security Team#CNA Partnership|now an official partner of the CVE program]], which is an international effort to catalog publicly disclosed cybersecurity vulnerabilities. This partnership will allow the Security Team to instantly publish [[w:en:Common Vulnerabilities and Exposures|common vulnerabilities and exposures]] (CVE) records that are affecting MediaWiki core, extensions, and skins, along with any other code the Foundation is a steward of. * The [[m:Special:MyLanguage/Community Wishlist|Community Wishlist]] is now [[m:Community Wishlist/Updates#October 16, 2024: Conversations Made Easier: Machine-Translated Wishes Are Here!|testing machine translations]] for Wishlist content. Volunteers can now read machine-translated versions of wishes and dive into discussions even before translators arrive to translate content. '''Meetings and events''' * 24 October - Wiki Education Speaker Series Webinar - [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/N4XTB4G55BUY3M3PNGUAKQWJ7A4UOPAK/ Open Source Tech: Building the Wiki Education Dashboard], featuring Wikimedia interns and a Web developer in the panel. * 20–22 December 2024 - [[m:Special:MyLanguage/Indic Wikimedia Hackathon Bhubaneswar 2024|Indic Wikimedia Hackathon Bhubaneswar 2024]] in Odisha, India. A hackathon for community members, including developers, designers and content editors, to build technical solutions that improve contributors' experiences. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/43|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W43"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:52, 21 October 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27634672 --> == Tech News: 2024-44 == <section begin="technews-2024-W44"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/44|Translations]] are available. '''Updates for editors''' * Later in November, the Charts extension will be deployed to the test wikis in order to help identify and fix any issue. A security review is underway to then enable deployment to pilot wikis for broader testing. You can read [[mw:Special:MyLanguage/Extension:Chart/Project/Updates#October 2024: Working towards production deployment|the October project update]] and see the [https://en.wikipedia.beta.wmflabs.org/wiki/Charts latest documentation and examples on Beta Wikipedia]. * View all {{formatnum:32}} community-submitted {{PLURAL:32|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, [[w:en:PediaPress|Pediapress.com]], an external service that creates books from Wikipedia, can now use [[mw:Special:MyLanguage/Wikimedia Maps|Wikimedia Maps]] to include existing pre-rendered infobox map images in their printed books on Wikipedia. [https://phabricator.wikimedia.org/T375761] '''Updates for technical contributors''' * Wikis can use [[:mw:Special:MyLanguage/Extension:GuidedTour|the Guided Tour extension]] to help newcomers understand how to edit. The Guided Tours extension now works with [[mw:Special:MyLanguage/Manual:Dark mode|dark mode]]. Guided Tour maintainers can check their tours to see that nothing looks odd. They can also set <code>emitTransitionOnStep</code> to <code>true</code> to fix an old bug. They can use the new flag <code>allowAutomaticBack</code> to avoid back-buttons they don't want. [https://phabricator.wikimedia.org/T73927#10241528] * Administrators in the Wikimedia projects who use the [[mw:Special:MyLanguage/Help:Extension:Nuke|Nuke Extension]] will notice that mass deletions done with this tool have the "Nuke" tag. This change will make reviewing and analyzing deletions performed with the tool easier. [https://phabricator.wikimedia.org/T366068] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/44|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W44"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:56, 28 October 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27668811 --> == Tech News: 2024-45 == <section begin="technews-2024-W45"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/45|Translations]] are available. '''Updates for editors''' * Stewards can now make [[m:Special:MyLanguage/Global blocks|global account blocks]] cause global [[mw:Special:MyLanguage/Autoblock|autoblocks]]. This will assist stewards in preventing abuse from users who have been globally blocked. This includes preventing globally blocked temporary accounts from exiting their session or switching browsers to make subsequent edits for 24 hours. Previously, temporary accounts could exit their current session or switch browsers to continue editing. This is an anti-abuse tool improvement for the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|Temporary Accounts]] project. You can read more about the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/Updates|progress on key features for temporary accounts]]. [https://phabricator.wikimedia.org/T368949] * Wikis that have the [[m:Special:MyLanguage/CampaignEvents/Deployment status|CampaignEvents extension enabled]] can now use the [[m:Special:MyLanguage/Campaigns/Foundation Product Team/Event list#October 29, 2024: Collaboration List launched|Collaboration List]] feature. This list provides a new, easy way for contributors to learn about WikiProjects on their wikis. Thanks to the Campaign team for this work that is part of [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2024-2025/Product %26 Technology OKRs#WE KRs|the 2024/25 annual plan]]. If you are interested in bringing the CampaignEvents extension to your wiki, you can [[m:Special:MyLanguage/CampaignEvents/Deployment status#How to Request the CampaignEvents Extension for your wiki|follow these steps]] or you can reach out to User:Udehb-WMF for help. * The text color for red links will be slightly changed later this week to improve their contrast in light mode. [https://phabricator.wikimedia.org/T370446] * View all {{formatnum:32}} community-submitted {{PLURAL:32|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, on multilingual wikis, users [[phab:T216368|can now]] hide translations from the WhatLinksHere special page. '''Updates for technical contributors''' * XML [[m:Special:MyLanguage/Data dumps|data dumps]] have been temporarily paused whilst a bug is investigated. [https://lists.wikimedia.org/hyperkitty/list/xmldatadumps-l@lists.wikimedia.org/message/BXWJDPO5QI2QMBCY7HO36ELDCRO6HRM4/] '''In depth''' * Temporary Accounts have been deployed to six wikis; thanks to the Trust and Safety Product team for [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|this work]], you can read about [[phab:T340001|the deployment plans]]. Beginning next week, Temporary Accounts will also be enabled on [[phab:T378336|seven other projects]]. If you are active on these wikis and need help migrating your tools, please reach out to [[m:User:Udehb-WMF|User:Udehb-WMF]] for assistance. * The latest quarterly [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Newsletter/2024/October|Language and Internationalization newsletter]] is available. It includes: New languages supported in translatewiki or in MediaWiki; New keyboard input methods for some languages; details about recent and upcoming meetings, and more. '''Meetings and events''' * [[mw:Special:MyLanguage/MediaWiki Users and Developers Conference Fall 2024|MediaWiki Users and Developers Conference Fall 2024]] is happening in Vienna, Austria and online from 4 to 6 November 2024. The conference will feature discussions around the usage of MediaWiki software by and within companies in different industries and will inspire and onboard new users. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/45|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W45"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:50, 4 November 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27693917 --> == Tech News: 2024-46 == <section begin="technews-2024-W46"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/46|Translations]] are available. '''Updates for editors''' * On wikis with the [[mw:Special:MyLanguage/Help:Extension:Translate|Translate extension]] enabled, users will notice that the FuzzyBot will now automatically create translated versions of categories used on translated pages. [https://phabricator.wikimedia.org/T285463] * View all {{formatnum:29}} community-submitted {{PLURAL:29|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the submitted task to use the [[mw:Special:MyLanguage/Extension:SecurePoll|SecurePoll extension]] for English Wikipedia's special [[w:en:Wikipedia:Administrator elections|administrator election]] was resolved on time. [https://phabricator.wikimedia.org/T371454] '''Updates for technical contributors''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] In <code dir="ltr">[[mw:MediaWiki_1.44/wmf.2|1.44.0-wmf-2]]</code>, the logic of Wikibase function <code>getAllStatements</code> changed to behave like <code>getBestStatements</code>. Invoking the function now returns a copy of values which are immutable. [https://phabricator.wikimedia.org/T270851] * [https://en.wikipedia.org/api/rest_v1/ Wikimedia REST API] users, such as bot operators and tool maintainers, may be affected by ongoing upgrades. The API will be rerouting some page content endpoints from RESTbase to the newer [[mw:Special:MyLanguage/API:REST API|MediaWiki REST API]] endpoints. The [[phab:T374683|impacted endpoints]] include getting page/revision metadata and rendered HTML content. These changes will be available on testwiki later this week, with other projects to follow. This change should not affect existing functionality, but active users of the impacted endpoints should verify behavior on testwiki, and raise any concerns on the related [[phab:T374683|Phabricator ticket]]. '''In depth''' * Admins and users of the Wikimedia projects [[mw:Special:MyLanguage/Moderator_Tools/Automoderator#Usage|where Automoderator is enabled]] can now monitor and evaluate important metrics related to Automoderator's actions. [https://superset.wmcloud.org/superset/dashboard/unified-automoderator-activity-dashboard/ This Superset dashboard] calculates and aggregates metrics about Automoderator's behaviour on the projects in which it is deployed. Thanks to the Moderator Tools team for this Dashboard; you can visit [[mw:Special:MyLanguage/Moderator Tools/Automoderator/Unified Activity Dashboard|the documentation page]] for more information about this work. [https://phabricator.wikimedia.org/T369488] '''Meetings and events''' * 21 November 2024 ([[m:Special:MyLanguage/Event:Commons community discussion - 21 November 2024 8:00 UTC|8:00 UTC]] & [[m:Special:MyLanguage/Event:Commons community discussion - 21 November 2024 16:00 UTC|16:00 UTC]]) - [[c:Commons:WMF support for Commons/Commons community calls|Community call]] with Wikimedia Commons volunteers and stakeholders to help prioritize support efforts for 2025-2026 Fiscal Year. The theme of this call is how content should be organised on Wikimedia Commons. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/46|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W46"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:07, 12 November 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27732268 --> == Tech News: 2024-47 == <section begin="technews-2024-W47"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/47|Translations]] are available. '''Updates for editors''' * Users of Wikimedia sites will now be warned when they create a [[mw:Special:MyLanguage/Help:Redirects|redirect]] to a page that doesn't exist. This will reduce the number of broken redirects to red links in our projects. [https://phabricator.wikimedia.org/T326057] * View all {{formatnum:42}} community-submitted {{PLURAL:42|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, [[mw:Special:MyLanguage/Manual:Pywikibot/Overview|Pywikibot]], which automates work on MediaWiki sites, was upgraded to 9.5.0 on Toolforge. [https://phabricator.wikimedia.org/T378676] '''Updates for technical contributors''' * On wikis that use the [[mw:Special:MyLanguage/Extension:FlaggedRevs|FlaggedRevs extension]], pages created or moved by users with the appropriate permissions are marked as flagged automatically. This feature has not been working recently, and changes fixing it should be deployed this week. Thanks to Daniel and Wargo for working on this. [https://phabricator.wikimedia.org/T379218][https://phabricator.wikimedia.org/T368380] '''In depth''' * There is a new [https://diff.wikimedia.org/2024/11/05/say-hi-to-temporary-accounts-easier-collaboration-with-logged-out-editors-with-better-privacy-protection Diff post] about Temporary Accounts, available in more than 15 languages. Read it to learn about what Temporary Accounts are, their impact on different groups of users, and the plan to introduce the change on all wikis. '''Meetings and events''' * Technical volunteers can now register for the [[mw:Special:MyLanguage/Wikimedia Hackathon 2025|2025 Wikimedia Hackathon]], which will take place in Istanbul, Turkey. [https://pretix.eu/wikimedia/hackathon2025/ Application for travel and accommodation scholarships] is open from '''November 12 to December 10 2024'''. The registration for the event will close in mid-April 2025. The Wikimedia Hackathon is an annual gathering that unites the global technical community to collaborate on existing projects and explore new ideas. * Join the [[C:Special:MyLanguage/Commons:WMF%20support%20for%20Commons/Commons%20community%20calls|Wikimedia Commons community calls]] this week to help prioritize support for Commons which will be planned for 2025–2026. The theme will be how content should be organised on Wikimedia Commons. This is an opportunity for volunteers who work on different things to come together and talk about what matters for the future of the project. The calls will take place '''November 21, 2024, [[m:Special:MyLanguage/Event:Commons community discussion - 21 November 2024 8:00 UTC|8:00 UTC]] and [[m:Special:MyLanguage/Event:Commons community discussion - 21 November 2024 16:00 UTC|16:00 UTC]]'''. * A [[mw:Special:MyLanguage/Wikimedia_Language_and_Product_Localization/Community meetings#29 November 2024|Language community meeting]] will take place '''November 29, 16:00 UTC''' to discuss updates and technical problem-solving. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/47|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W47"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 02:00, 19 November 2024 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27806858 --> == Tech News: 2024-48 == <section begin="technews-2024-W48"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/48|Translations]] are available. '''Updates for editors''' * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] A new version of the standard wikitext editor-mode [[mw:Special:MyLanguage/Extension:CodeMirror|syntax highlighter]] will be available as a [[Special:Preferences#mw-prefsection-betafeatures|beta feature]] later this week. This brings many new features and bug fixes, including right-to-left support, [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Template folding|template folding]], [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Autocompletion|autocompletion]], and an improved search panel. You can learn more on the [[mw:Special:MyLanguage/Help:Extension:CodeMirror|help page]]. * The 2010 wikitext editor now supports common keyboard shortcuts such <bdi lang="zxx" dir="ltr"><code>Ctrl</code>+<code>B</code></bdi> for bold and <bdi lang="zxx" dir="ltr"><code>Ctrl</code>+<code>I</code></bdi> for italics. A full [[mw:Help:Extension:WikiEditor#Keyboard shortcuts|list of all six shortcuts]] is available. Thanks to SD0001 for this improvement. [https://phabricator.wikimedia.org/T62928] * Starting November 28, Flow/Structured Discussions pages will be automatically archived and set to read-only at the following wikis: <bdi>bswiki</bdi>{{int:comma-separator/en}}<bdi>elwiki</bdi>{{int:comma-separator/en}}<bdi>euwiki</bdi>{{int:comma-separator/en}}<bdi>fawiki</bdi>{{int:comma-separator/en}}<bdi>fiwiki</bdi>{{int:comma-separator/en}}<bdi>frwikiquote</bdi>{{int:comma-separator/en}}<bdi>frwikisource</bdi>{{int:comma-separator/en}}<bdi>frwikiversity</bdi>{{int:comma-separator/en}}<bdi>frwikivoyage</bdi>{{int:comma-separator/en}}<bdi>idwiki</bdi>{{int:comma-separator/en}}<bdi>lvwiki</bdi>{{int:comma-separator/en}}<bdi>plwiki</bdi>{{int:comma-separator/en}}<bdi>ptwiki</bdi>{{int:comma-separator/en}}<bdi>urwiki</bdi>{{int:comma-separator/en}}<bdi>viwikisource</bdi>{{int:comma-separator/en}}<bdi>zhwikisource</bdi>. This is done as part of [[mw:Special:MyLanguage/Structured_Discussions/Deprecation|StructuredDiscussions deprecation work]]. If you need any assistance to archive your page in advance, please contact [[m:User:Trizek (WMF)|Trizek (WMF)]]. * View all {{formatnum:25}} community-submitted {{PLURAL:25|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a user creating a new AbuseFilter can now only set the filter to "protected" [[phab:T377765|if it includes a protected variable]]. '''Updates for technical contributors''' * The [[mw:Special:MyLanguage/Extension:CodeEditor|CodeEditor]], which can be used in JavaScript, CSS, JSON, and Lua pages, [[phab:T377663|now offers]] live autocompletion. Thanks to SD0001 for this improvement. The feature can be temporarily disabled on a page by pressing <bdi lang="zxx" dir="ltr"><code>Ctrl</code>+<code>,</code></bdi> and un-selecting "<bdi lang="en" dir="ltr">Live Autocompletion</bdi>". * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Tool-maintainers who use the Graphite system for tracking metrics, need to migrate to the newer Prometheus system. They can check [https://grafana.wikimedia.org/d/K6DEOo5Ik/grafana-graphite-datasource-utilization?orgId=1 this dashboard] and the list in the Description of the [[phab:T350592|task T350592]] to see if their tools are listed, and they should claim metrics and dashboards connected to their tools. They can then disable or migrate all existing metrics by following the instructions in the task. The Graphite service will become read-only in April. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/KLUV4IOLRYXPQFWD6WKKJUHMWE77BMSZ/] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] The [[mw:Special:MyLanguage/NewPP parser report|New PreProcessor parser performance report]] has been fixed to give an accurate count for the number of Wikibase entities accessed. It had previously been resetting after 400 entities. [https://phabricator.wikimedia.org/T279069] '''Meetings and events''' * A [[mw:Special:MyLanguage/Wikimedia_Language_and_Product_Localization/Community meetings#29 November 2024|Language community meeting]] will take place November 29 at [https://zonestamp.toolforge.org/1732896000 16:00 UTC]. There will be presentations on topics like developing language keyboards, the creation of the Mooré Wikipedia, the language support track at [[m:Wiki Indaba|Wiki Indaba]], and a report from the Wayuunaiki community on their experiences with the Incubator and as a new community over the last 3 years. This meeting will be in English and will also have Spanish interpretation. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/48|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W48"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:42, 25 November 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27847039 --> == Tech News: 2024-49 == <section begin="technews-2024-W49"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/49|Translations]] are available. '''Updates for editors''' * Two new parser functions were added this week. The <code dir="ltr"><nowiki>{{</nowiki>[[mw:Special:MyLanguage/Help:Magic words#interwikilink|#interwikilink]]<nowiki>}}</nowiki></code> function adds an [[mw:Special:MyLanguage/Help:Links#Interwiki links|interwiki link]] and the <code dir="ltr"><nowiki>{{</nowiki>[[mw:Special:MyLanguage/Help:Magic words#interlanguagelink|#interlanguagelink]]<nowiki>}}</nowiki></code> function adds an [[mw:Special:MyLanguage/Help:Links#Interlanguage links|interlanguage link]]. These parser functions are useful on wikis where namespaces conflict with interwiki prefixes. For example, links beginning with <bdi lang="zxx" dir="ltr"><code>MOS:</code></bdi> on English Wikipedia [[phab:T363538|conflict with the <code>mos</code> language code prefix of Mooré Wikipedia]]. * Starting this week, Wikimedia wikis no longer support connections using old RSA-based HTTPS certificates, specifically rsa-2048. This change is to improve security for all users. Some older, unsupported browser or smartphone devices will be unable to connect; Instead, they will display a connectivity error. See the [[wikitech:HTTPS/Browser_Recommendations|HTTPS Browser Recommendations page]] for more-detailed information. All modern operating systems and browsers are always able to reach Wikimedia projects. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/CTYEHVNSXUD3NFAAMG3BLZVTVQWJXJAH/] * Starting December 16, Flow/Structured Discussions pages will be automatically archived and set to read-only at the following wikis: <bdi>arwiki</bdi>{{int:comma-separator/en}}<bdi>cawiki</bdi>{{int:comma-separator/en}}<bdi>frwiki</bdi>{{int:comma-separator/en}}<bdi>mediawikiwiki</bdi>{{int:comma-separator/en}}<bdi>orwiki</bdi>{{int:comma-separator/en}}<bdi>wawiki</bdi>{{int:comma-separator/en}}<bdi>wawiktionary</bdi>{{int:comma-separator/en}}<bdi>wikidatawiki</bdi>{{int:comma-separator/en}}<bdi>zhwiki</bdi>. This is done as part of [[mw:Special:MyLanguage/Structured_Discussions/Deprecation|StructuredDiscussions deprecation work]]. If you need any assistance to archive your page in advance, please contact [[m:User:Trizek (WMF)|Trizek (WMF)]]. [https://phabricator.wikimedia.org/T380910] * This month the Chart extension was deployed to production and is now available on Commons and Testwiki. With the security review complete, pilot wiki deployment is expected to start in the first week of December. You can see a working version [[testwiki:Charts|on Testwiki]] and read [[mw:Special:MyLanguage/Extension:Chart/Project/Updates|the November project update]] for more details. * View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug with the "Download as PDF" system was fixed. [https://phabricator.wikimedia.org/T376438] '''Updates for technical contributors''' * In late February, temporary accounts will be rolled out on at least 10 large wikis. This deployment will have a significant effect on the community-maintained code. This is about Toolforge tools, bots, gadgets, and user scripts that use IP address data or that are available for logged-out users. The Trust and Safety Product team wants to identify this code, monitor it, and assist in updating it ahead of the deployment to minimize disruption to workflows. The team asks technical editors and volunteer developers to help identify such tools by adding them to [[mw:Trust and Safety Product/Temporary Accounts/For developers/Impacted tools|this list]]. In addition, review the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/For developers|updated documentation]] to learn how to adjust the tools. Join the discussions on the [[mw:Talk:Trust and Safety Product/Temporary Accounts|project talk page]] or in the [[discord:channels/221049808784326656/1227616742340034722|dedicated thread]] on the [[w:Wikipedia:Discord|Wikimedia Community Discord server (in English)]] for support and to share feedback. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/49|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W49"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:22, 2 December 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27873992 --> == Tech News: 2024-50 == <section begin="technews-2024-W50"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/50|Translations]] are available. '''Weekly highlight''' * Technical documentation contributors can find updated resources, and new ways to connect with each other and the Wikimedia Technical Documentation Team, at the [[mw:Special:MyLanguage/Documentation|Documentation hub]] on MediaWiki.org. This page links to: resources for writing and improving documentation, a new <bdi lang="zxx" dir="ltr">#wikimedia-techdocs</bdi> IRC channel on libera.chat, a listing of past and upcoming documentation events, and ways to request a documentation consultation or review. If you have any feedback or ideas for improvements to the documentation ecosystem, please [[mw:Wikimedia Technical Documentation Team#Contact us|contact the Technical Documentation Team]]. '''Updates for editors''' [[File:Edit Check on Desktop.png|thumb|Layout change for the Edit Check feature]] * Later this week, [[mw:Special:MyLanguage/Edit check|Edit Check]] will be relocated to a sidebar on desktop. Edit check is the feature for new editors to help them follow policies and guidelines. This layout change creates space to present people with [[mw:Edit check#1 November 2024|new Checks]] that appear ''while'' they are typing. The [[mw:Special:MyLanguage/Edit check#Reference Check A/B Test|initial results]] show newcomers encountering Edit Check are 2.2 times more likely to publish a new content edit that includes a reference and is not reverted. * The Chart extension, which enables editors to create data visualizations, was successfully made available on MediaWiki.org and three pilot wikis (Italian, Swedish, and Hebrew Wikipedias). You can see a working examples [[testwiki:Charts|on Testwiki]] and read [[mw:Special:MyLanguage/Extension:Chart/Project/Updates|the November project update]] for more details. * Translators in wikis where the [[mw:Special:MyLanguage/Content translation/Section translation#Try the tool|mobile experience of Content Translation is available]], can now discover articles in Wikiproject campaigns of their interest from the "[https://test.wikipedia.org/w/index.php?title=Special:ContentTranslation&campaign=specialcx&filter-type=automatic&filter-id=collections&active-list=suggestions&from=es&to=en All collection]" category in the articles suggestion feature. Wikiproject Campaign organizers can use this feature, to help translators to discover articles of interest, by adding the <code dir=ltr><nowiki><page-collection> </page-collection></nowiki></code> tag to their campaign article list page on Meta-wiki. This will make those articles discoverable in the Content Translation tool. For more detailed information on how to use the tool and tag, please refer to [[mw:Special:MyLanguage/Translation suggestions: Topic-based & Community-defined lists/How to use the features|the step-by-step guide]]. [https://phabricator.wikimedia.org/T378958] * The [[mw:Special:MyLanguage/Extension:Nuke|Nuke]] feature, which enables administrators to mass delete pages, now has a [[phab:T376379#10310998|multiselect filter for namespace selection]]. This enables users to select multiple specific namespaces, instead of only one or all, when fetching pages for deletion. * The Nuke feature also now [[phab:T364225#10371365|provides links]] to the userpage of the user whose pages were deleted, and to the pages which were not selected for deletion, after page deletions are queued. This enables easier follow-up admin-actions. Thanks to Chlod and the Moderator Tools team for both of these improvements. [https://phabricator.wikimedia.org/T364225#10371365] * The Editing Team is working on making it easier to populate citations from archive.org using the [[mw:Special:MyLanguage/Citoid/Enabling Citoid on your wiki|Citoid]] tool, the auto-filled citation generator. They are asking communities to add two parameters preemptively, <code dir=ltr>archiveUrl</code> and <code dir=ltr>archiveDate</code>, within the TemplateData for each citation template using Citoid. You can see an [https://en.wikipedia.org/w/index.php?title=Template%3ACite_web%2Fdoc&diff=1261320172&oldid=1260788022 example of a change in a template], and a [https://global-search.toolforge.org/?namespaces=10&q=%5C%22citoid%5C%22%3A%20%5C%7B&regex=1&title= list of all relevant templates]. [https://phabricator.wikimedia.org/T374831] * One new wiki has been created: a {{int:project-localized-name-group-wikivoyage}} in [[d:Q9240|Indonesian]] ([[voy:id:|<code>voy:id:</code>]]) [https://phabricator.wikimedia.org/T380726] * Last week, all wikis had problems serving pages to logged-in users and some logged-out users for 30–45 minutes. This was caused by a database problem, and investigation is ongoing. [https://www.wikimediastatus.net/incidents/3g2ckc7bp6l9] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:19}} community-submitted {{PLURAL:19|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug in the [[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add Link]] feature has been fixed. Previously, the list of sections which are excluded from Add Link was partially ignored in certain cases. [https://phabricator.wikimedia.org/T380455][https://phabricator.wikimedia.org/T380329] '''Updates for technical contributors''' * [[mw:Special:MyLanguage/Codex|Codex]], the design system for Wikimedia, now has an early-stage [[gitiles:design/codex-php|implementation in PHP]]. It is available for general use in MediaWiki extensions and Toolforge apps through [https://packagist.org/packages/wikimedia/codex Composer], with use in MediaWiki core coming soon. More information is available in [[wmdoc:design-codex-php/main/index.html|the documentation]]. Thanks to Doğu for the inspiration and many contributions to the library. [https://phabricator.wikimedia.org/T379662] * [https://en.wikipedia.org/api/rest_v1/ Wikimedia REST API] users, such as bot operators and tool maintainers, may be affected by ongoing upgrades. On December 4, the MediaWiki Interfaces team began rerouting page/revision metadata and rendered HTML content endpoints on [[testwiki:|testwiki]] from RESTbase to comparable MediaWiki REST API endpoints. The team encourages active users of these endpoints to verify their tool's behavior on testwiki and raise any concerns on the related [[phab:T374683|Phabricator ticket]] before the end of the year, as they intend to roll out the same change across all Wikimedia projects in early January. These changes are part of the work to replace the outdated [[mw:RESTBase/deprecation|RESTBase]] system. * The [https://wikimediafoundation.limesurvey.net/986172 2024 Developer Satisfaction Survey] is seeking the opinions of the Wikimedia developer community. Please take the survey if you have any role in developing software for the Wikimedia ecosystem. The survey is open until 3 January 2025, and has an associated [[foundation:Legal:Developer Satisfaction Survey 2024 Privacy Statement|privacy statement]]. * There is no new MediaWiki version this week. [https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar] '''Meetings and events''' * The next meeting in the series of [[c:Commons:WMF support for Commons/Commons community calls|Wikimedia Foundation discussions with the Wikimedia Commons community]] will take place on [[m:Event:Commons community discussion - 12 December 2024 08:00 UTC|December 12 at 8:00 UTC]] and [[m:Event:Commons community discussion - 12_December 2024 16:00 UTC|at 16:00 UTC]]. The topic of this call is new media and new contributors. Contributors from all wikis are welcome to attend. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/50|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W50"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:16, 9 December 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27919424 --> == Tech News: 2024-51 == <section begin="technews-2024-W51"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2024/51|Translations]] are available. '''Weekly highlight''' * Interested in improving event management on your home wiki? The [[m:Special:MyLanguage/CampaignEvents|CampaignEvents extension]] offers organizers features like event registration management, event/wikiproject promotion, finding potential participants, and more - all directly on-wiki. If you are an organizer or think your community would benefit from this extension, start a discussion to enable it on your wiki today. To learn more about how to enable this extension on your wiki, visit the [[m:CampaignEvents/Deployment status#How to Request the CampaignEvents Extension for your wiki|deployment status page]]. '''Updates for editors''' * Users of the iOS Wikipedia App in Italy and Mexico on the Italian, Spanish, and English Wikipedias, can see a [[mw:Special:MyLanguage/Wikimedia Apps/Team/iOS/Personalized Wikipedia Year in Review|personalized Year in Review]] with insights based on their reading and editing history. * Users of the Android Wikipedia App in Sub-Saharan Africa and South Asia can see the new [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/Rabbit Holes|Rabbit Holes]] feature. This feature shows a suggested search term in the Search bar based on the current article being viewed, and a suggested reading list generated from the user’s last two visited articles. * The [[m:Special:MyLanguage/Global reminder bot|global reminder bot]] is now active and running on nearly 800 wikis. This service reminds most users holding temporary rights when they are about to expire, so that they can renew should they want to. See [[m:Global reminder bot/Technical details|the technical details page]] for more information. * The next issue of Tech News will be sent out on 13 January 2025 because of the end of year holidays. Thank you to all of the translators, and people who submitted content or feedback, this year. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug was [[phab:T374988|fixed]] in the Android Wikipedia App which had caused translatable SVG images to show the wrong language when they were tapped. '''Updates for technical contributors''' * There is no new MediaWiki version next week. The next deployments will start on 14 January. [https://wikitech.wikimedia.org/wiki/Deployments/Yearly_calendar/2025] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2024/51|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2024-W51"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:24, 16 December 2024 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=27942374 --> == Tech News: 2025-03 == <section begin="technews-2025-W03"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/03|Translations]] are available. '''Weekly highlight''' * The Single User Login system is being updated over the next few months. This is the system which allows users to fill out the login form on one Wikimedia site and get logged in on all others at the same time. It needs to be updated because of the ways that browsers are increasingly restricting cross-domain cookies. To accommodate these restrictions, login and account creation pages will move to a central domain, but it will still appear to the user as if they are on the originating wiki. The updated code will be enabled this week for users on test wikis. This change is planned to roll out to all users during February and March. See [[mw:Special:MyLanguage/MediaWiki Platform Team/SUL3#Deployment|the SUL3 project page]] for more details and a timeline. '''Updates for editors''' * On wikis with [[mw:Special:MyLanguage/Extension:PageAssessments|PageAssessments]] installed, you can now [[mw:Special:MyLanguage/Extension:PageAssessments#Search|filter search results]] to pages in a given WikiProject by using the <code dir=ltr>inproject:</code> keyword. (These wikis: {{int:project-localized-name-arwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-enwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-enwikivoyage/en}}{{int:comma-separator/en}}{{int:project-localized-name-frwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-huwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-newiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-trwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-zhwiki/en}}) [https://phabricator.wikimedia.org/T378868] * One new wiki has been created: a {{int:project-localized-name-group-wikipedia}} in [[d:Q34129|Tigre]] ([[w:tig:|<code>w:tig:</code>]]) [https://phabricator.wikimedia.org/T381377] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:35}} community-submitted {{PLURAL:35|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, there was a bug with updating a user's edit-count after making a rollback edit, which is now fixed. [https://phabricator.wikimedia.org/T382592] '''Updates for technical contributors''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Wikimedia REST API users, such as bot operators and tool maintainers, may be affected by ongoing upgrades. Starting the week of January 13, we will begin rerouting [[phab:T374683|some page content endpoints]] from RESTbase to the newer MediaWiki REST API endpoints for all wiki projects. This change was previously available on testwiki and should not affect existing functionality, but active users of the impacted endpoints may raise issues directly to the [[phab:project/view/6931/|MediaWiki Interfaces Team]] in Phabricator if they arise. * Toolforge tool maintainers can now share their feedback on Toolforge UI, an initiative to provide a web platform that allows creating and managing Toolforge tools through a graphic interface, in addition to existing command-line workflows. This project aims to streamline active maintainers’ tasks, as well as make registration and deployment processes more accessible for new tool creators. The initiative is still at a very early stage, and the Cloud Services team is in the process of collecting feedback from the Toolforge community to help shape the solution to their needs. [[wikitech:Wikimedia Cloud Services team/EnhancementProposals/Toolforge UI|Read more and share your thoughts about Toolforge UI]]. * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] For tool and library developers who use the OAuth system: The identity endpoint used for [[mw:Special:MyLanguage/OAuth/For Developers#Identifying the user|OAuth 1]] and [[mw:Special:MyLanguage/OAuth/For Developers#Identifying the user 2|OAuth 2]] returned a JSON object with an integer in its <code>sub</code> field, which was incorrect (the field must always be a string). This has been fixed; the fix will be deployed to Wikimedia wikis on the week of January 13. [https://phabricator.wikimedia.org/T382139] * Many wikis currently use [[:mw:Parsoid/Parser Unification/Cite CSS|Cite CSS]] to render custom footnote markers in Parsoid output. Starting January 20 these rules will be disabled, but the developers ask you to ''not'' clean up your <bdi lang="en" dir="ltr">[[MediaWiki:Common.css]]</bdi> until February 20 to avoid issues during the migration. Your wikis might experience some small changes to footnote markers in Visual Editor and when using experimental Parsoid read mode, but if there are changes these are expected to bring the rendering in line with the legacy parser output. [https://phabricator.wikimedia.org/T370027] '''Meetings and events''' * The next meeting in the series of [[c:Special:MyLanguage/Commons:WMF support for Commons/Commons community calls|Wikimedia Foundation Community Conversations with the Wikimedia Commons community]] will take place on [[m:Special:MyLanguage/Event:Commons community discussion - 15 January 2025 08:00 UTC|January 15 at 8:00 UTC]] and [[m:Special:MyLanguage/Event:Commons community discussion - 15 January 2025 16:00 UTC|at 16:00 UTC]]. The topic of this call is defining the priorities in tool investment for Commons. Contributors from all wikis, especially users who are maintaining tools for Commons, are welcome to attend. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/03|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W03"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:42, 14 January 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28048614 --> == Tech News: 2025-04 == <section begin="technews-2025-W04"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/04|Translations]] are available. '''Updates for editors''' * Administrators can mass-delete multiple pages created by a user or IP address using [[mw:Special:MyLanguage/Extension:Nuke|Extension:Nuke]]. It previously only allowed deletion of pages created in the last 30 days. It can now delete pages from the last 90 days, provided it is targeting a specific user or IP address. [https://phabricator.wikimedia.org/T380846] * On [[phab:P72148|wikis that use]] the [[mw:Special:MyLanguage/Help:Patrolled edits|Patrolled edits]] feature, when the rollback feature is used to revert an unpatrolled page revision, that revision will now be marked as "manually patrolled" instead of "autopatrolled", which is more accurate. Some editors that use [[mw:Special:MyLanguage/Help:New filters for edit review/Filtering|filters]] on Recent Changes may need to update their filter settings. [https://phabricator.wikimedia.org/T302140] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:31}} community-submitted {{PLURAL:31|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the Visual Editor's "Insert link" feature did not always suggest existing pages properly when an editor started typing, which has now been [[phab:T383497|fixed]]. '''Updates for technical contributors''' * The Structured Discussion extension (also known as Flow) is being progressively removed from the wikis. This extension is unmaintained and causes issues. It will be replaced by [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]], which is used on any regular talk page. [[mw:Special:MyLanguage/Structured Discussions/Deprecation#Deprecation timeline|The last group of wikis]] ({{int:project-localized-name-cawikiquote/en}}{{int:comma-separator/en}}{{int:project-localized-name-fiwikimedia/en}}{{int:comma-separator/en}}{{int:project-localized-name-gomwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kabwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ptwikibooks/en}}{{int:comma-separator/en}}{{int:project-localized-name-sewikimedia/en}}) will soon be contacted. If you have questions about this process, please ping [[m:User:Trizek (WMF)|Trizek (WMF)]] at your wiki. [https://phabricator.wikimedia.org/T380912] * The latest quarterly [[mw:Technical_Community_Newsletter/2025/January|Technical Community Newsletter]] is now available. This edition includes: updates about services from the Data Platform Engineering teams, information about Codex from the Design System team, and more. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/04|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W04"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:36, 21 January 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28129769 --> == Tech News: 2025-05 == <section begin="technews-2025-W05"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/05|Translations]] are available. '''Weekly highlight''' * Patrollers and admins - what information or context about edits or users could help you to make patroller or admin decisions more quickly or easily? The Wikimedia Foundation wants to hear from you to help guide its upcoming annual plan. Please consider sharing your thoughts on this and [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Product & Technology OKRs|13 other questions]] to shape the technical direction for next year. '''Updates for editors''' * iOS Wikipedia App users worldwide can now access a [[mw:Special:MyLanguage/Wikimedia Apps/Team/iOS/Personalized Wikipedia Year in Review/How your data is used|personalized Year in Review]] feature, which provides insights based on their reading and editing history on Wikipedia. This project is part of a broader effort to help welcome new readers as they discover and interact with encyclopedic content. * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] Edit patrollers now have a new feature available that can highlight potentially problematic new pages. When a page is created with the same title as a page which was previously deleted, a tag ('Recreated') will now be added, which users can filter for in [[{{#special:RecentChanges}}]] and [[{{#special:NewPages}}]]. [https://phabricator.wikimedia.org/T56145] * Later this week, there will be a new warning for editors if they attempt to create a redirect that links to another redirect (a [[mw:Special:MyLanguage/Help:Redirects#Double redirects|double redirect]]). The feature will recommend that they link directly to the second redirect's target page. Thanks to the user SomeRandomDeveloper for this improvement. [https://phabricator.wikimedia.org/T326056] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Wikimedia wikis allow [[w:en:WebAuthn|WebAuthn]]-based second factor checks (such as hardware tokens) during login, but the feature is [[m:Community Wishlist Survey 2023/Miscellaneous/Fix security key (WebAuthn) support|fragile]] and has very few users. The MediaWiki Platform team is temporarily disabling adding new WebAuthn keys, to avoid interfering with the rollout of [[mw:MediaWiki Platform Team/SUL3|SUL3]] (single user login version 3). Existing keys are unaffected. [https://phabricator.wikimedia.org/T378402] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * For developers that use the [[wikitech:Data Platform/Data Lake/Edits/MediaWiki history dumps|MediaWiki History dumps]]: The Data Platform Engineering team has added a couple of new fields to these dumps, to support the [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|Temporary Accounts]] initiative. If you maintain software that reads those dumps, please review your code and the updated documentation, since the order of the fields in the row will change. There will also be one field rename: in the <bdi lang="zxx" dir="ltr"><code>mediawiki_user_history</code></bdi> dump, the <bdi lang="zxx" dir="ltr"><code>anonymous</code></bdi> field will be renamed to <bdi lang="zxx" dir="ltr"><code>is_anonymous</code></bdi>. The changes will take effect with the next release of the dumps in February. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/LKMFDS62TXGDN6L56F4ABXYLN7CSCQDI/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/05|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W05"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:14, 27 January 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28149374 --> == Tech News: 2025-06 == <section begin="technews-2025-W06"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/06|Translations]] are available. '''Updates for editors''' * Editors who use the "Special characters" editing-toolbar menu can now see the 32 special characters you have used most recently, across editing sessions on that wiki. This change should help make it easier to find the characters you use most often. The feature is in both the 2010 wikitext editor and VisualEditor. [https://phabricator.wikimedia.org/T110722] * Editors using the 2010 wikitext editor can now create sublists with correct indentation by selecting the line(s) you want to indent and then clicking the toolbar buttons.[https://phabricator.wikimedia.org/T380438] You can now also insert <code><nowiki><code></nowiki></code> tags using a new toolbar button.[https://phabricator.wikimedia.org/T383010] Thanks to user stjn for these improvements. * Help is needed to ensure the [[mw:Special:MyLanguage/Citoid/Enabling Citoid on your wiki|citation generator]] works properly on each wiki. ** (1) Administrators should update the local versions of the page <code dir=ltr>MediaWiki:Citoid-template-type-map.json</code> to include entries for <code dir=ltr>preprint</code>, <code dir=ltr>standard</code>, and <code dir=ltr>dataset</code>; Here are example diffs to replicate [https://en.wikipedia.org/w/index.php?title=MediaWiki%3ACitoid-template-type-map.json&diff=1189164774&oldid=1165783565 for 'preprint'] and [https://en.wikipedia.org/w/index.php?title=MediaWiki%3ACitoid-template-type-map.json&diff=1270832208&oldid=1270828390 for 'standard' and 'dataset']. ** (2.1) If the citoid map in the citation template used for these types of references is missing, [[mediawikiwiki:Citoid/Enabling Citoid on your wiki#Step 2.a: Create a 'citoid' maps value for each citation template|one will need to be added]]. (2.2) If the citoid map does exist, the TemplateData will need to be updated to include new field names. Here are example updates [https://en.wikipedia.org/w/index.php?title=Template%3ACitation%2Fdoc&diff=1270829051&oldid=1262470053 for 'preprint'] and [https://en.wikipedia.org/w/index.php?title=Template%3ACitation%2Fdoc&diff=1270831369&oldid=1270829480 for 'standard' and 'dataset']. The new fields that may need to be supported are <code dir=ltr>archiveID</code>, <code dir=ltr>identifier</code>, <code dir=ltr>repository</code>, <code dir=ltr>organization</code>, <code dir=ltr>repositoryLocation</code>, <code dir=ltr>committee</code>, and <code dir=ltr>versionNumber</code>. [https://phabricator.wikimedia.org/T383666] * One new wiki has been created: a {{int:project-localized-name-group-wikipedia/en}} in [[d:Q15637215|Central Kanuri]] ([[w:knc:|<code>w:knc:</code>]]) [https://phabricator.wikimedia.org/T385181] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the [[mediawikiwiki:Special:MyLanguage/Help:Extension:Wikisource/Wikimedia OCR|OCR (optical character recognition) tool]] used for Wikisource now supports a new language, Church Slavonic. [https://phabricator.wikimedia.org/T384782] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/06|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W06"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:09, 4 February 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28203495 --> == Tech News: 2025-07 == <section begin="technews-2025-W07"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/07|Translations]] are available. '''Weekly highlight''' * The Product and Technology Advisory Council (PTAC) has published [[m:Special:MyLanguage/Product and Technology Advisory Council/February 2025 draft PTAC recommendation for feedback|a draft of their recommendations]] for the Wikimedia Foundation's Product and Technology department. They have recommended focusing on [[m:Special:MyLanguage/Product and Technology Advisory Council/February 2025 draft PTAC recommendation for feedback/Mobile experiences|mobile experiences]], particularly contributions. They request community [[m:Talk:Product and Technology Advisory Council/February 2025 draft PTAC recommendation for feedback|feedback at the talk page]] by 21 February. '''Updates for editors''' * The "Special pages" portlet link will be moved from the "Toolbox" into the "Navigation" section of the main menu's sidebar by default. This change is because the Toolbox is intended for tools relating to the current page, not tools relating to the site, so the link will be more logically and consistently located. To modify this behavior and update CSS styling, administrators can follow the instructions at [[phab:T385346|T385346]]. [https://phabricator.wikimedia.org/T333211] * As part of this year's work around improving the ways readers discover content on the wikis, the Web team will be running an experiment with a small number of readers that displays some suggestions for related or interesting articles within the search bar. Please check out [[mw:Special:MyLanguage/Reading/Web/Content Discovery Experiments#Experiment 1: Display article recommendations in more prominent locations, search|the project page]] for more information. * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Template editors who use TemplateStyles can now customize output for users with specific accessibility needs by using accessibility related media queries (<code dir=ltr>[https://developer.mozilla.org/en-US/docs/Web/CSS/@media/prefers-reduced-motion prefers-reduced-motion]</code>, <code dir=ltr>[https://developer.mozilla.org/en-US/docs/Web/CSS/@media/prefers-reduced-transparency prefers-reduced-transparency]</code>, <code dir=ltr>[https://developer.mozilla.org/en-US/docs/Web/CSS/@media/prefers-contrast prefers-contrast]</code>, and <code dir=ltr>[https://developer.mozilla.org/en-US/docs/Web/CSS/@media/forced-colors forced-colors]</code>). Thanks to user Bawolff for these improvements. [https://phabricator.wikimedia.org/T384175] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:22}} community-submitted {{PLURAL:22|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the global blocks log will now be shown directly on the {{#special:CentralAuth}} page, similarly to global locks, to simplify the workflows for stewards. [https://phabricator.wikimedia.org/T377024] '''Updates for technical contributors''' * Wikidata [[d:Special:MyLanguage/Help:Default values for labels and aliases|now supports a special language as a "default for all languages"]] for labels and aliases. This is to avoid excessive duplication of the same information across many languages. If your Wikidata queries use labels, you may need to update them as some existing labels are getting removed. [https://phabricator.wikimedia.org/T312511] * The function <code dir="ltr">getDescription</code> was invoked on every Wiki page read and accounts for ~2.5% of a page's total load time. The calculated value will now be cached, reducing load on Wikimedia servers. [https://phabricator.wikimedia.org/T383660] * As part of the RESTBase deprecation [[mw:RESTBase/deprecation|effort]], the <code dir="ltr">/page/related</code> endpoint has been blocked as of February 6, 2025, and will be removed soon. This timeline was chosen to align with the deprecation schedules for older Android and iOS versions. The stable alternative is the "<code dir="ltr">morelike</code>" action API in MediaWiki, and [[gerrit:c/mediawiki/services/mobileapps/+/982154/13/pagelib/src/transform/FooterReadMore.js|a migration example]] is available. The MediaWiki Interfaces team [[phab:T376297|can be contacted]] for any questions. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/GFC2IJO7L4BWO3YTM7C5HF4MCCBE2RJ2/] '''In depth''' * The latest quarterly [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Newsletter/2025/January|Language and Internationalization newsletter]] is available. It includes: Updates about the "Contribute" menu; details on some of the newest language editions of Wikipedia; details on new languages supported by the MediaWiki interface; updates on the Community-defined lists feature; and more. * The latest [[mw:Extension:Chart/Project/Updates#January 2025: Better visibility into charts and tabular data usage|Chart Project newsletter]] is available. It includes updates on the progress towards bringing better visibility into global charts usage and support for categorizing pages in the Data namespace on Commons. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/07|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W07"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:12, 11 February 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28231022 --> == Tech News: 2025-08 == <section begin="technews-2025-W08"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/08|Translations]] are available. '''Weekly highlight''' * Communities using growth tools can now showcase one event on the <code>{{#special:Homepage}}</code> for newcomers. This feature will help newcomers to be informed about editing activities they can participate in. Administrators can create a new event to showcase at <code>{{#special:CommunityConfiguration}}</code>. To learn more about this feature, please read [[diffblog:2025/02/12/community-updates-module-connecting-newcomers-to-your-initiatives/|the Diff post]], have a look [[mw:Special:MyLanguage/Help:Growth/Tools/Community updates module|at the documentation]], or contact [[mw:Talk:Growth|the Growth team]]. '''Updates for editors''' [[File:Page Frame Features on desktop.png|thumb|Highlighted talk pages improvements]] * Starting next week, talk pages at these wikis – {{int:project-localized-name-eswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-frwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-itwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-jawiki/en}} – will get [[diffblog:2024/05/02/making-talk-pages-better-for-everyone/|a new design]]. This change was extensively tested as a Beta feature and is the last step of [[mw:Special:MyLanguage/Talk pages project/Feature summary|talk pages improvements]]. [https://phabricator.wikimedia.org/T379102] * You can now navigate to view a redirect page directly from its action pages, such as the history page. Previously, you were forced to first go to the redirect target. This change should help editors who work with redirects a lot. Thanks to user stjn for this improvement. [https://phabricator.wikimedia.org/T5324] * When a Cite reference is reused many times, wikis currently show either numbers like "1.23" or localized alphabetic markers like "a b c" in the reference list. Previously, if there were so many reuses that the alphabetic markers were all used, [[MediaWiki:Cite error references no backlink label|an error message]] was displayed. As part of the work to [[phab:T383036|modernize Cite customization]], these errors will no longer be shown and instead the backlinks will fall back to showing numeric markers like "1.23" once the alphabetic markers are all used. * The log entries for each change to an editor's user-groups are now clearer by specifying exactly what has changed, instead of the plain before and after listings. Translators can [[phab:T369466|help to update the localized versions]]. Thanks to user Msz2001 for these improvements. * A new filter has been added to the [[{{#special:Nuke}}]] tool, which allows administrators to mass delete pages, to enable users to filter for pages in a range of page sizes (in bytes). This allows, for example, deleting pages only of a certain size or below. [https://phabricator.wikimedia.org/T378488] * Non-administrators can now check which pages are able to be deleted using the [[{{#special:Nuke}}]] tool. Thanks to user MolecularPilot for this and the previous improvements. [https://phabricator.wikimedia.org/T376378] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:25}} community-submitted {{PLURAL:25|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug was fixed in the configuration for the AV1 video file format, which enables these files to play again. [https://phabricator.wikimedia.org/T382193] '''Updates for technical contributors''' * Parsoid Read Views is going to be rolling out to most Wiktionaries over the next few weeks, following the successful transition of Wikivoyage to Parsoid Read Views last year. For more information, see the [[mw:Special:MyLanguage/Parsoid/Parser Unification|Parsoid/Parser Unification]] project page. [https://phabricator.wikimedia.org/T385923][https://phabricator.wikimedia.org/T371640] * Developers of tools that run on-wiki should note that <code dir=ltr>mw.Uri</code> is deprecated. Tools requiring <code dir=ltr>mw.Uri</code> must explicitly declare <code dir=ltr>mediawiki.Uri</code> as a ResourceLoader dependency, and should migrate to the browser native <code dir=ltr>URL</code> API soon. [https://phabricator.wikimedia.org/T384515] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/08|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W08"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:16, 17 February 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28275610 --> == Tech News: 2025-09 == <section begin="technews-2025-W09"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/09|Translations]] are available. '''Updates for editors''' * Administrators can now customize how the [[m:Special:MyLanguage/User language|Babel feature]] creates categories using [[{{#special:CommunityConfiguration/Babel}}]]. They can rename language categories, choose whether they should be auto-created, and adjust other settings. [https://phabricator.wikimedia.org/T374348] * The <bdi lang="en" dir="ltr">[https://www.wikimedia.org/ wikimedia.org]</bdi> portal has been updated – and is receiving some ongoing improvements – to modernize and improve the accessibility of our portal pages. It now has better support for mobile layouts, updated wording and links, and better language support. Additionally, all of the Wikimedia project portals, such as <bdi lang="en" dir="ltr">[https://wikibooks.org wikibooks.org]</bdi>, now support dark mode when a reader is using that system setting. [https://phabricator.wikimedia.org/T373204][https://phabricator.wikimedia.org/T368221][https://meta.wikimedia.org/wiki/Project_portals] * One new wiki has been created: a {{int:project-localized-name-group-wiktionary/en}} in [[d:Q33965|Santali]] ([[wikt:sat:|<code>wikt:sat:</code>]]) [https://phabricator.wikimedia.org/T386619] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug was fixed that prevented clicking on search results in the web-interface for some Firefox for Android phone configurations. [https://phabricator.wikimedia.org/T381289] '''Meetings and events''' * The next Language Community Meeting is happening soon, February 28th at [https://zonestamp.toolforge.org/1740751200 14:00 UTC]. This week's meeting will cover: highlights and technical updates on keyboard and tools for the Sámi languages, Translatewiki.net contributions from the Bahasa Lampung community in Indonesia, and technical Q&A. If you'd like to join, simply [[mw:Wikimedia Language and Product Localization/Community meetings#28 February 2025|sign up on the wiki page]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/09|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W09"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:41, 25 February 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28296129 --> == Tech News: 2025-10 == <section begin="technews-2025-W10"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/10|Translations]] are available. '''Updates for editors''' * All logged-in editors using the mobile view can now edit a full page. The "{{int:Minerva-page-actions-editfull}}" link is accessible from the "{{int:minerva-page-actions-overflow}}" menu in the toolbar. This was previously only available to editors using the [[mw:Special:MyLanguage/Reading/Web/Advanced mobile contributions|Advanced mobile contributions]] setting. [https://phabricator.wikimedia.org/T387180] * Interface administrators can now help to remove the deprecated Cite CSS code matching "<code dir="ltr">mw-ref</code>" from their local <bdi lang="en" dir="ltr">[[MediaWiki:Common.css]]</bdi>. The list of wikis in need of cleanup, and the code to remove, [https://global-search.toolforge.org/?q=mw-ref%5B%5E-a-z%5D&regex=1&namespaces=8&title=.*css can be found with this global search] and in [https://ace.wikipedia.org/w/index.php?title=MediaWiki:Common.css&oldid=145662#L-139--L-144 this example], and you can learn more about how to help on the [[mw:Parsoid/Parser Unification/Cite CSS|CSS migration project page]]. The Cite footnote markers ("<code dir="ltr">[1]</code>") are now rendered by [[mw:Special:MyLanguage/Parsoid|Parsoid]], and the deprecated CSS is no longer needed. The CSS for backlinks ("<code dir="ltr">mw:referencedBy</code>") should remain in place for now. This cleanup is expected to cause no visible changes for readers. Please help to remove this code before March 20, after which the development team will do it for you. * When editors embed a file (e.g. <code><nowiki>[[File:MediaWiki.png]]</nowiki></code>) on a page that is protected with cascading protection, the software will no longer restrict edits to the file description page, only to new file uploads.[https://phabricator.wikimedia.org/T24521] In contrast, transcluding a file description page (e.g. <code><nowiki>{{:File:MediaWiki.png}}</nowiki></code>) will now restrict edits to the page.[https://phabricator.wikimedia.org/T62109] * When editors revert a file to an earlier version it will now require the same permissions as ordinarily uploading a new version of the file. The software now checks for 'reupload' or 'reupload-own' rights,[https://phabricator.wikimedia.org/T304474] and respects cascading protection.[https://phabricator.wikimedia.org/T140010] * When administrators are listing pages for deletion with the Nuke tool, they can now also list associated talk pages and redirects for deletion, alongside pages created by the target, rather than needing to manually delete these pages afterwards. [https://phabricator.wikimedia.org/T95797] * The [[m:Special:MyLanguage/Tech/News/2025/03|previously noted]] update to Single User Login, which will accommodate browser restrictions on cross-domain cookies by moving login and account creation to a central domain, will now roll out to all users during March and April. The team plans to enable it for all new account creation on [[wikitech:Deployments/Train#Tuesday|Group0]] wikis this week. See [[mw:Special:MyLanguage/MediaWiki Platform Team/SUL3#Deployment|the SUL3 project page]] for more details and an updated timeline. * Since last week there has been a bug that shows some interface icons as black squares until the page has fully loaded. It will be fixed this week. [https://phabricator.wikimedia.org/T387351] * One new wiki has been created: a {{int:project-localized-name-group-wikipedia/en}} in [[d:Q2044560|Sylheti]] ([[w:syl:|<code>w:syl:</code>]]) [https://phabricator.wikimedia.org/T386441] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug was fixed with loading images in very old versions of the Firefox browser on mobile. [https://phabricator.wikimedia.org/T386400] '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.19|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/10|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W10"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 02:30, 4 March 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28334563 --> == Tech News: 2025-11 == <section begin="technews-2025-W11"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/11|Translations]] are available. '''Updates for editors''' * Editors who use password managers at multiple wikis may notice changes in the future. The way that our wikis provide information to password managers about reusing passwords across domains has recently been updated, so some password managers might now offer you login credentials that you saved for a different Wikimedia site. Some password managers already did this, and are now doing it for more Wikimedia domains. This is part of the [[mw:Special:MyLanguage/MediaWiki Platform Team/SUL3|SUL3 project]] which aims to improve how our unified login works, and to keep it compatible with ongoing changes to the web-browsers we use. [https://phabricator.wikimedia.org/T385520][https://phabricator.wikimedia.org/T384844] * The Wikipedia Apps Team is inviting interested users to help improve Wikipedia’s offline and limited internet use. After discussions in [[m:Afrika Baraza|Afrika Baraza]] and the last [[m:Special:MyLanguage/ESEAP Hub/Meetings|ESEAP call]], key challenges like search, editing, and offline access are being explored, with upcoming focus groups to dive deeper into these topics. All languages are welcome, and interpretation will be available. Want to share your thoughts? [[mw:Special:MyLanguage/Wikimedia Apps/Improving Wikipedia Mobile Apps for Offline & Limited Internet Use|Join the discussion]] or email <bdi lang="en" dir="ltr">aramadan@wikimedia.org</bdi>! * All wikis will be read-only for a few minutes on March 19. This is planned at [https://zonestamp.toolforge.org/1742392800 14:00 UTC]. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.20|MediaWiki]] '''In depth''' * The latest quarterly [[mw:Special:MyLanguage/Growth/Newsletters/33|Growth newsletter]] is available. It includes: the launch of the Community Updates module, the most recent changes in Community Configuration, and the upcoming test of in-article suggestions for first-time editors. * An old API that was previously used in the Android Wikipedia app is being removed at the end of March. There are no current software uses, but users of the app with a version that is older than 6 months by the time of removal (2025-03-31), will no longer have access to the Suggested Edits feature, until they update their app. You can [[diffblog:2025/02/24/sunset-of-wikimedia-recommendation-api/|read more details about this change]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/11|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W11"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:09, 10 March 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28372257 --> == Tech News: 2025-12 == <section begin="technews-2025-W12"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/12|Translations]] are available. '''Weekly highlight''' * Twice a year, around the equinoxes, the Wikimedia Foundation's Site Reliability Engineering (SRE) team performs [[m:Special:MyLanguage/Tech/Server switch|a datacenter server switchover]], redirecting all traffic from one primary server to its backup. This provides reliability in case of a crisis, as we can always fall back on the other datacenter. [http://listen.hatnote.com/ Thanks to the Listen to Wikipedia] tool, you can hear the switchover take place: Before it begins, you'll hear the steady stream of edits; Then, as the system enters a brief read-only phase, the sound stops for a couple of minutes, before resuming after the switchover. You can [[diffblog:2025/03/12/hear-that-the-wikis-go-silent-twice-a-year/|read more about the background and details of this process on the Diff blog]]. If you want to keep an ear out for the next server switchover, listen to the wikis on [https://zonestamp.toolforge.org/1742392800 March 19 at 14:00 UTC]. '''Updates for editors''' * The [https://test.wikipedia.org/w/index.php?title=Special:ContentTranslation&filter-type=automatic&filter-id=previous-edits&active-list=suggestions&from=en&to=es improved Content Translation tool dashboard] is now available in [[phab:T387820|10 Wikipedias]] and will be available for all Wikipedias [[phab:T387821|soon]]. With [[mw:Special:MyLanguage/Content translation#Improved translation experience|the unified dashboard]], desktop users can now: Translate new sections of an article; Discover and access topic-based [https://ig.m.wikipedia.org/w/index.php?title=Special:ContentTranslation&active-list=suggestions&from=en&to=ig&filter-type=automatic&filter-id=previous-edits article suggestion filters] (initially available only for mobile device users); Discover and access the [[mw:Special:MyLanguage/Translation suggestions: Topic-based & Community-defined lists|Community-defined lists]] filter, also known as "Collections", from wiki-projects and campaigns. * On Wikimedia Commons, a [[c:Commons:WMF support for Commons/Upload Wizard Improvements#Improve category selection|new system to select the appropriate file categories]] has been introduced: if a category has one or more subcategories, users will be able to click on an arrow that will open the subcategories directly within the form, and choose the correct one. The parent category name will always be shown on top, and it will always be possible to come back to it. This should decrease the amount of work for volunteers in fixing/creating new categories. The change is also available on mobile. These changes are part of planned improvements to the UploadWizard. * The Community Tech team is seeking wikis to join a pilot for the [[m:Special:MyLanguage/Community Wishlist Survey 2023/Multiblocks|Multiblocks]] feature and a refreshed Special:Block page in late March. Multiblocks enables administrators to impose multiple different types of blocks on the same user at the same time. If you are an admin or steward and would like us to discuss joining the pilot with your community, please leave a message on the [[m:Talk:Community Wishlist Survey 2023/Multiblocks|project talk page]]. * Starting March 25, the Editing team will test a new feature for Edit Check at [[phab:T384372|12 Wikipedias]]: [[mw:Special:MyLanguage/Help:Edit check#Multi-check|Multi-Check]]. Half of the newcomers on these wikis will see all [[mw:Special:MyLanguage/Help:Edit check#ref|Reference Checks]] during their edit session, while the other half will continue seeing only one. The goal of this test is to see if users are confused or discouraged when shown multiple Reference Checks (when relevant) within a single editing session. At these wikis, the tags used on edits that show References Check will be simplified, as multiple tags could be shown within a single edit. Changes to the tags are documented [[phab:T373949|on Phabricator]]. [https://phabricator.wikimedia.org/T379131] * The [[m:Special:MyLanguage/Global reminder bot|Global reminder bot]], which is a service for notifying users that their temporary user-rights are about to expire, now supports using the localized name of the user-rights group in the message heading. Translators can see the [[m:Global reminder bot/Translation|listing of existing translations and documentation]] to check if their language needs updating or creation. * The [[Special:GlobalPreferences|GlobalPreferences]] gender setting, which is used for how the software should refer to you in interface messages, now works as expected by overriding the local defaults. [https://phabricator.wikimedia.org/T386584] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:26}} community-submitted {{PLURAL:26|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the Wikipedia App for Android had a bug fixed for when a user is browsing and searching in multiple languages. [https://phabricator.wikimedia.org/T379777] '''Updates for technical contributors''' * Later this week, the way that Codex styles are loaded will be changing. There is a small risk that this may result in unstyled interface message boxes on certain pages. User generated content (e.g. templates) is not impacted. Gadgets may be impacted. If you see any issues [[phab:T388847|please report them]]. See the linked task for details, screenshots, and documentation on how to fix any affected gadgets. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.21|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/12|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W12"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:48, 17 March 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28412594 --> == Tech News: 2025-13 == <section begin="technews-2025-W13"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/13|Translations]] are available. '''Weekly highlight''' * The Wikimedia Foundation is seeking your feedback on the [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Product & Technology OKRs|drafts of the objectives and key results that will shape the Foundation's Product and Technology priorities]] for the next fiscal year (starting in July). The objectives are broad high-level areas, and the key-results are measurable ways to track the success of their objectives. Please share your feedback on the talkpage, in any language, ideally before the end of April. '''Updates for editors''' * The [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|CampaignEvents extension]] will be released to multiple wikis (see [[m:Special:MyLanguage/CampaignEvents/Deployment status#Global Deployment Plan|deployment plan]] for details) in April 2025, and the team has begun the process of engaging communities on the identified wikis. The extension provides tools to organize, manage, and promote collaborative activities (like events, edit-a-thons, and WikiProjects) on the wikis. The extension has three tools: [[m:Special:MyLanguage/Event Center/Registration|Event Registration]], [[m:Special:MyLanguage/CampaignEvents/Collaboration list|Collaboration List]], and [[m:Special:MyLanguage/Campaigns/Foundation Product Team/Invitation list|Invitation Lists]]. It is currently on 13 Wikipedias, including English Wikipedia, French Wikipedia, and Spanish Wikipedia, as well as Wikidata. Questions or requests can be directed to the [[mw:Help talk:Extension:CampaignEvents|extension talk page]] or in Phabricator (with <bdi lang="en" dir="ltr" style="white-space: nowrap;">#campaigns-product-team</bdi> tag). * Starting the week of March 31st, wikis will be able to set which user groups can view private registrants in [[m:Special:MyLanguage/Event Center/Registration|Event Registration]], as part of the [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|CampaignEvents]] extension. By default, event organizers and the local wiki admins will be able to see private registrants. This is a change from the current behavior, in which only event organizers can see private registrants. Wikis can change the default setup by [[m:Special:MyLanguage/Requesting wiki configuration changes|requesting a configuration change]] in Phabricator (and adding the <bdi lang="en" dir="ltr" style="white-space: nowrap;">#campaigns-product-team</bdi> tag). Participants of past events can cancel their registration at any time. * Administrators at wikis that have a customized <bdi lang="en" dir="ltr">[[MediaWiki:Sidebar]]</bdi> should check that it contains an entry for the {{int:specialpages}} listing. If it does not, they should add it using <code dir=ltr style="white-space: nowrap;">* specialpages-url|specialpages</code>. Wikis with a default sidebar will see the link moved from the page toolbox into the sidebar menu in April. [https://phabricator.wikimedia.org/T388927] * The Minerva skin (mobile web) combines both Notice and Alert notifications within the bell icon ([[File:OOjs UI icon bell.svg|16px|link=|class=skin-invert]]). There was a long-standing bug where an indication for new notifications was only shown if you had unseen Alerts. This bug is now fixed. In the future, Minerva users will notice a counter atop the bell icon when you have 1 or more unseen Notices and/or Alerts. [https://phabricator.wikimedia.org/T344029] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * VisualEditor has introduced a [[mw:VisualEditor/Hooks|new client-side hook]] for developers to use when integrating with the VisualEditor target lifecycle. This hook should replace the existing lifecycle-related hooks, and be more consistent between different platforms. In addition, the new hook will apply to uses of VisualEditor outside of just full article editing, allowing gadgets to interact with the editor in DiscussionTools as well. The Editing Team intends to deprecate and eventually remove the old lifecycle hooks, so any use cases that this new hook does not cover would be of interest to them and can be [[phab:T355555|shared in the task]]. * Developers who use the <code dir=ltr>mw.Api</code> JavaScript library, can now identify the tool using it with the <code dir=ltr>userAgent</code> parameter: <code dir=ltr>var api = new mw.Api( { userAgent: 'GadgetNameHere/1.0.1' } );</code>. If you maintain a gadget or user script, please set a user agent, because it helps with library and server maintenance and with differentiating between legitimate and illegitimate traffic. [https://phabricator.wikimedia.org/T373874][https://foundation.wikimedia.org/wiki/Policy:Wikimedia_Foundation_User-Agent_Policy] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.22|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/13|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W13"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:42, 24 March 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28443127 --> == Tech News: 2025-14 == <section begin="technews-2025-W14"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/14|Translations]] are available. '''Updates for editors''' * The Editing team is working on a new [[mw:Special:MyLanguage/Edit Check|Edit check]]: [[mw:Special:MyLanguage/Edit check#26 March 2025|Peacock check]]. This check's goal is to identify non-neutral terms while a user is editing a wikipage, so that they can be informed that their edit should perhaps be changed before they publish it. This project is at the early stages, and the team is looking for communities' input: [[phab:T389445|in this Phabricator task]], they are gathering on-wiki policies, templates used to tag non-neutral articles, and the terms (jargon and keywords) used in edit summaries for the languages they are currently researching. You can participate by editing the table on Phabricator, commenting on the task, or directly messaging [[m:user:Trizek (WMF)|Trizek (WMF)]]. * [[mw:Special:MyLanguage/MediaWiki Platform Team/SUL3|Single User Login]] has now been updated on all wikis to move login and account creation to a central domain. This makes user login compatible with browser restrictions on cross-domain cookies, which have prevented users of some browsers from staying logged in. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:35}} community-submitted {{PLURAL:35|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Starting on March 31st, the MediaWiki Interfaces team will begin a limited release of generated OpenAPI specs and a SwaggerUI-based sandbox experience for [[mw:Special:MyLanguage/API:REST API|MediaWiki REST APIs]]. They invite developers from a limited group of non-English Wikipedia communities (Arabic, German, French, Hebrew, Interlingua, Dutch, Chinese) to review the documentation and experiment with the sandbox in their preferred language. In addition to these specific Wikipedia projects, the sandbox and OpenAPI spec will be available on the [[testwiki:Special:RestSandbox|on the test wiki REST Sandbox special page]] for developers with English as their preferred language. During the preview period, the MediaWiki Interfaces Team also invites developers to [[mw:MediaWiki Interfaces Team/Feature Feedback/REST Sandbox|share feedback about your experience]]. The preview will last for approximately 2 weeks, after which the sandbox and OpenAPI specs will be made available across all wiki projects. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.23|MediaWiki]] '''In depth''' * Sometimes a small, [[gerrit:c/operations/cookbooks/+/1129184|one line code change]] can have great significance: in this case, it means that for the first time in years we're able to run all of the stack serving <bdi lang="en" dir="ltr">[http://maps.wikimedia.org/ maps.wikimedia.org]</bdi> - a host dedicated to serving our wikis and their multi-lingual maps needs - from a single core datacenter, something we test every time we perform a [[m:Special:MyLanguage/Tech/Server switch|datacenter switchover]]. This is important because it means that in case one of our datacenters is affected by a catastrophe, we'll still be able to serve the site. This change is the result of [[phab:T216826|extensive work]] by two developers on porting the last component of the maps stack over to [[w:en:Kubernetes|kubernetes]], where we can allocate resources more efficiently than before, thus we're able to withstand more traffic in a single datacenter. This work involved a lot of complicated steps because this software, and the software libraries it uses, required many long overdue upgrades. This type of work makes the Wikimedia infrastructure more sustainable. '''Meetings and events''' * [[mw:Special:MyLanguage/MediaWiki Users and Developers Workshop Spring 2025|MediaWiki Users and Developers Workshop Spring 2025]] is happening in Sandusky, USA, and online, from 14–16 May 2025. The workshop will feature discussions around the usage of MediaWiki software by and within companies in different industries and will inspire and onboard new users. Registration and presentation signup is now available at the workshop's website. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/14|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W14"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:05, 1 April 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28473566 --> == Tech News: 2025-15 == <section begin="technews-2025-W15"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/15|Translations]] are available. '''Updates for editors''' * From now on, [[m:Special:MyLanguage/Interface administrators|interface admins]] and [[m:Special:MyLanguage/Central notice administrators|centralnotice admins]] are technically required to enable [[m:Special:MyLanguage/Help:Two-factor authentication|two-factor authentication]] before they can use their privileges. In the future this might be expanded to more groups with advanced user-rights. [https://phabricator.wikimedia.org/T150898] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:20}} community-submitted {{PLURAL:20|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * The Design System Team is preparing to release the next major version of Codex (v2.0.0) on April 29. Editors and developers who use CSS from Codex should see the [[mw:Codex/Release Timeline/2.0|2.0 overview documentation]], which includes guidance related to a few of the breaking changes such as <code dir=ltr style="white-space: nowrap;">font-size</code>, <code dir=ltr style="white-space: nowrap;">line-height</code>, and <code dir=ltr style="white-space: nowrap;">size-icon</code>. * The results of the [[mw:Developer Satisfaction Survey/2025|Developer Satisfaction Survey (2025)]]  are now available. Thank you to all participants. These results help the Foundation decide what to work on next and to review what they recently worked on. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.24|MediaWiki]] '''Meetings and events''' * The [[mw:Special:MyLanguage/Wikimedia Hackathon 2025|2025 Wikimedia Hackathon]] will take place in Istanbul, Turkey, between 2–4 May. Registration for attending the in-person event will close on 13 April. Before registering, please note the potential need for a [https://www.mfa.gov.tr/turkish-representations.en.mfa visa] or [https://www.mfa.gov.tr/visa-information-for-foreigners.en.mfa e-visa] to enter the country. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/15|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W15"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:52, 7 April 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28507470 --> == Tech News: 2025-16 == <section begin="technews-2025-W16"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/16|Translations]] are available. '''Weekly highlight''' * Later this week, the default thumbnail size will be increased from 220px to 250px. This changes how pages are shown in all wikis and has been requested by some communities for many years, but wasn't previously possible due to technical limitations. [https://phabricator.wikimedia.org/T355914] * File thumbnails are now stored in discrete sizes. If a page specifies a thumbnail size that's not among the standard sizes (20, 40, 60, 120, 250, 330, 500, 960), then MediaWiki will pick the closest larger thumbnail size but will tell the browser to downscale it to the requested size. In these cases, nothing will change visually but users might load slightly larger images. If it doesn't matter which thumbnail size is used in a page, please pick one of the standard sizes to avoid the extra in-browser down-scaling step. [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Images#Thumbnail_sizes][https://phabricator.wikimedia.org/T355914] '''Updates for editors''' * The Wikimedia Foundation are working on a system called [[m:Edge Uniques|Edge Uniques]] which will enable [[:w:en:A/B testing|A/B testing]], help protect against [[:w:en:Denial-of-service attack|Distributed denial-of-service attacks]] (DDoS attacks), and make it easier to understand how many visitors the Wikimedia sites have. This is so that they can more efficiently build tools which help readers, and make it easier for readers to find what they are looking for. * To improve security for users, a small percentage of logins will now require that the account owner input a one-time password [[mw:Special:MyLanguage/Help:Extension:EmailAuth|emailed to their account]]. It is recommended that you [[Special:Preferences#mw-prefsection-personal-email|check]] that the email address on your account is set correctly, and that it has been confirmed, and that you have an email set for this purpose. [https://phabricator.wikimedia.org/T390662] * "Are you interested in taking a short survey to improve tools used for reviewing or reverting edits on your Wiki?" This question will be [[phab:T389401|asked at 7 wikis starting next week]], on Recent Changes and Watchlist pages. The [[mw:Special:MyLanguage/Moderator Tools|Moderator Tools team]] wants to know more about activities that involve looking at new edits made to your Wikimedia project, and determining whether they adhere to your project's policies. * On April 15, the full Wikidata graph will no longer be supported on <bdi lang="zxx" dir="ltr">[https://query.wikidata.org/ query.wikidata.org]</bdi>. After this date, scholarly articles will be available through <bdi lang="zxx" dir="ltr" style="white-space:nowrap;">[https://query-scholarly.wikidata.org/ query-scholarly.wikidata.org]</bdi>, while the rest of the data hosted on Wikidata will be available through the <bdi lang="zxx" dir="ltr">[https://query.wikidata.org/ query.wikidata.org]</bdi> endpoint. This is part of the scheduled split of the Wikidata Graph, which was [[d:Special:MyLanguage/Wikidata:SPARQL query service/WDQS backend update/September 2024 scaling update|announced in September 2024]]. More information is [[d:Wikidata:SPARQL query service/WDQS graph split|available on Wikidata]]. * The latest quarterly [[m:Special:MyLanguage/Wikimedia Apps/Newsletter/First quarter of 2025|Wikimedia Apps Newsletter]] is now available. It covers updates, experiments, and improvements made to the Wikipedia mobile apps. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * The latest quarterly [[mw:Technical Community Newsletter/2025/April|Technical Community Newsletter]] is now available. This edition includes: an invitation for tool maintainers to attend the Toolforge UI Community Feedback Session on April 15th; recent community metrics; and recent technical blog posts. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.25|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/16|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W16"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:24, 15 April 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28540654 --> == Tech News: 2025-17 == <section begin="technews-2025-W17"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/17|Translations]] are available. '''Updates for editors''' * [[f:Special:MyLanguage/Wikifunctions:Main Page|Wikifunctions]] is now integrated with [[w:dag:Solɔɣu|Dagbani Wikipedia]] since April 15. It is the first project that will be able to call [[f:Special:MyLanguage/Wikifunctions:Introduction|functions from Wikifunctions]] and integrate them in articles. A function is something that takes one or more inputs and transforms them into a desired output, such as adding up two numbers, converting miles into metres, calculating how much time has passed since an event, or declining a word into a case. Wikifunctions will allow users to do that through a simple call of [[f:Special:MyLanguage/Wikifunctions:Catalogue|a stable and global function]], rather than via a local template. [https://www.wikifunctions.org/wiki/Special:MyLanguage/Wikifunctions:Status_updates/2025-04-16] * A new type of lint error has been created: [[Special:LintErrors/empty-heading|{{int:linter-category-empty-heading}}]] ([[mw:Special:MyLanguage/Help:Lint errors/empty-heading|documentation]]). The [[mw:Special:MyLanguage/Help:Extension:Linter|Linter extension]]'s purpose is to identify wikitext patterns that must or can be fixed in pages and provide some guidance about what the problems are with those patterns and how to fix them. [https://phabricator.wikimedia.org/T368722] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:37}} community-submitted {{PLURAL:37|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Following its publication on HuggingFace, the "Structured Contents" dataset, developed by Wikimedia Enterprise, is [https://enterprise.wikimedia.com/blog/kaggle-dataset/ now also available on Kaggle]. This Beta initiative is focused on making Wikimedia data more machine-readable for high-volume reusers. They are releasing this beta version in a location that open dataset communities already use, in order to seek feedback, to help improve the product for a future wider release. You can read more about the overall [https://enterprise.wikimedia.com/blog/structured-contents-snapshot-api/#open-datasets Structured Contents project], and about the [https://enterprise.wikimedia.com/blog/structured-contents-wikipedia-infobox/ first release that's freely usable]. * There is no new MediaWiki version this week. '''Meetings and events''' * The Editing and Machine Learning Teams invite interested volunteers to a video meeting to discuss [[mw:Special:MyLanguage/Edit check/Peacock check|Peacock check]], which is the latest [[mw:Special:MyLanguage/Edit check|Edit check]] that will detect "peacock" or "overly-promotional" or "non-neutral" language whilst an editor is typing. Editors who work with newcomers, or help to fix this kind of writing, or are interested in how we use artificial intelligence in our projects are encouraged to attend. The [[mw:Special:MyLanguage/Editing team/Community Conversations#Next Conversation|meeting will be on April 28, 2025]] at [https://zonestamp.toolforge.org/1745863200 18:00–19:00 UTC] and hosted on Zoom. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/17|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W17"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:00, 21 April 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28578245 --> == Tech News: 2025-18 == <section begin="technews-2025-W18"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/18|Translations]] are available. '''Updates for editors''' * Event organizers who host collaborative activities on [[m:Special:MyLanguage/CampaignEvents/Deployment status#Global Deployment Plan|multiple wikis]], including Bengali, Japanese, and Korean Wikipedias, will have access to the [[mw:Special:MyLanguage/Extension:CampaignEvents|CampaignEvents extension]] this week. Also, admins in the Wikipedia where the extension is enabled will automatically be granted the event organizer right soon. They won't have to manually grant themselves the right before they can manage events as [[phab:T386861|requested by a community]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:19}} community-submitted {{PLURAL:19|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * The release of the next major version of [[mw:Special:MyLanguage/Codex|Codex]], the design system for Wikimedia, is scheduled for 29 April 2025. Technical editors will have access to the release by the week of 5 May 2025. This update will include a number of [[mw:Special:MyLanguage/Codex/Release_Timeline/2.0#Breaking_changes|breaking changes]] and minor [[mw:Special:MyLanguage/Codex/Release_Timeline/2.0#Visual_changes|visual changes]]. Instructions on handling the breaking and visual changes are documented on [[mw:Special:MyLanguage/Codex/Release Timeline/2.0#|this page]]. Pre-release testing is reported in [[phab:T386298|T386298]], with post-release issues tracked in [[phab:T392379|T392379]] and [[phab:T392390|T392390]]. * Users of [[wikitech:Special:MyLanguage/Help:Wiki_Replicas|Wiki Replicas]] will notice that the database views of <code dir="ltr">ipblocks</code>, <code dir="ltr">ipblocks_ipindex</code>, and <code dir="ltr">ipblocks_compat</code> are [[phab:T390767|now deprecated]]. Users can query the <code dir="ltr">[[mw:Special:MyLanguage/Manual:Block_table|block]]</code> and <code dir="ltr">[[mw:Special:MyLanguage/Manual:Block_target_table|block_target]]</code> new views that mirror the new tables in the production database instead. The deprecated views will be removed entirely from Wiki Replicas in June, 2025. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.27|MediaWiki]] '''In depth''' * The latest quarterly [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Newsletter/2025/April|Language and Internationalization Newsletter]] is now available. This edition includes an overview of the improved [https://test.wikipedia.org/w/index.php?title=Special:ContentTranslation&campaign=contributionsmenu&to=es&filter-type=automatic&filter-id=previous-edits&active-list=suggestions&from=en#/ Content Translation Dashboard Tool], [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Newsletter/2025/April#Language Support for New and Existing Languages|support for new languages]], [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Newsletter/2025/April#Wiki Loves Ramadan Articles Made In Content Translation Mobile Workflow|highlights from the Wiki Loves Ramadan campaign]], [[m:Special:MyLanguage/Research:Languages Onboarding Experiment 2024 - Executive Summary|results from the Language Onboarding Experiment]], an analysis of topic diversity in articles, and information on upcoming community meetings and events. '''Meetings and events''' * The [[Special:MyLanguage/Grants:Knowledge_Sharing/Connect/Calendar|Let's Connect Learning Clinic]] will take place on [https://zonestamp.toolforge.org/1745937000 April 29 at 14:30 UTC]. This edition will focus on "Understanding and Navigating Conflict in Wikimedia Projects". You can [[m:Special:MyLanguage/Event:Learning Clinic %E2%80%93 Understanding and Navigating Conflict in Wikimedia Projects (Part_1)|register now]] to attend. * The [[mw:Special:MyLanguage/Wikimedia Hackathon 2025|2025 Wikimedia Hackathon]], which brings the global technical community together to connect, brainstorm, and hack existing projects, will take place from May 2 to 4th, 2025, at Istanbul, Turkey. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/18|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W18"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:31, 28 April 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28585685 --> == Tech News: 2025-19 == <section begin="technews-2025-W19"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/19|Translations]] are available. '''Weekly highlight''' * The Wikimedia Foundation has shared the latest draft update to their [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026|annual plan]] for next year (July 2025–June 2026). This includes an [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026|executive summary]] (also on [[diffblog:2025/04/25/sharing-the-wikimedia-foundations-2025-2026-draft-annual-plan/|Diff]]), details about the three main [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Goals|goals]] ([[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Product & Technology OKRs|Infrastructure]], [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Goals/Volunteer Support|Volunteer Support]], and [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Goals/Effectiveness|Effectiveness]]), [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Global Trends|global trends]], and the [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Budget Overview|budget]] and [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026/Financial Model|financial model]]. Feedback and questions are welcome on the [[m:Talk:Wikimedia Foundation Annual Plan/2025-2026|talk page]] until the end of May. '''Updates for editors''' * For wikis that have the [[m:Special:MyLanguage/CampaignEvents/Deployment status|CampaignEvents extension enabled]], two new feature improvements have been released: ** Admins can now choose which namespaces are permitted for [[m:Special:MyLanguage/Event Center/Registration|Event Registration]] via [[mw:Special:MyLanguage/Community Configuration|Community Configuration]] ([[mw:Special:MyLanguage/Help:Extension:CampaignEvents/Registration/Permitted namespaces|documentation]]). The default setup is for event registration to be permitted in the Event namespace, but other namespaces (such as the project namespace or WikiProject namespace) can now be added. With this change, communities like WikiProjects can now more easily use Event Registration for their collaborative activities. ** Editors can now [[mw:Special:MyLanguage/Transclusion|transclude]] the Collaboration List on a wiki page ([[mw:Special:MyLanguage/Help:Extension:CampaignEvents/Collaboration list/Transclusion|documentation]]). The Collaboration List is an automated list of events and WikiProjects on the wikis, accessed via {{#special:AllEvents}} ([[w:en:Special:AllEvents|example]]). Now, the Collaboration List can be added to all sorts of wiki pages, such as: a wiki mainpage, a WikiProject page, an affiliate page, an event page, or even a user page. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Developers who use the <code dir=ltr>moment</code> library in gadgets and user scripts should revise their code to use alternatives like the <code dir=ltr>Intl</code> library or the new <code dir=ltr>mediawiki.DateFormatter</code> library. The <code dir=ltr>moment</code> library has been deprecated and will begin to log messages in the developer console. You can see a global search for current uses, and [[phab:T392532|ask related questions in this Phabricator task]]. * Developers who maintain a tool that queries the Wikidata term store tables (<code dir=ltr style="white-space: nowrap;">wbt_*</code>) need to update their code to connect to a separate database cluster. These tables are being split into a separate database cluster. Tools that query those tables via the wiki replicas must be adapted to connect to the new cluster instead. [[wikitech:News/2025 Wikidata term store database split|Documentation and related links are available]]. [https://phabricator.wikimedia.org/T390954] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.44/wmf.28|MediaWiki]] '''In depth''' * The latest [[mw:Special:MyLanguage/Extension:Chart/Project/Updates|Chart Project newsletter]] is available. It includes updates on preparing to expand the deployment to additional wikis as soon as this week (starting May 6) and scaling up over the following weeks, plus exploring filtering and transforming source data. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/19|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W19"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:14, 6 May 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28665011 --> == Tech News: 2025-20 == <section begin="technews-2025-W20"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/20|Translations]] are available. '''Weekly highlight''' * The [[m:Special:MyLanguage/Wikimedia URL Shortener|"Get shortened URL"]] link on the sidebar now includes a [[phab:T393309|QR code]]. Wikimedia site users can now use it by scanning or downloading it to quickly share and access shared content from Wikimedia sites, conveniently. '''Updates for editors''' * The Wikimedia Foundation is working on a system called [[m:Edge Uniques|Edge Uniques]], which will enable [[w:en:A/B testing|A/B testing]], help protect against [[w:en:Denial-of-service attack|distributed denial-of-service attacks]] (DDoS attacks), and make it easier to understand how many visitors the Wikimedia sites have. This is to help more efficiently build tools which help readers, and make it easier for readers to find what they are looking for. Tech News has [[m:Special:MyLanguage/Tech/News/2025/16|previously written about this]]. The deployment will be gradual. Some might see the Edge Uniques cookie the week of 19 May. You can discuss this on the [[m:Talk:Edge Uniques|talk page]]. * Starting May 19, 2025, Event organisers in wikis with the [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|CampaignEvents extension]] enabled can use [[m:Special:MyLanguage/Event Center/Registration|Event Registration]] in the project namespace (e.g., Wikipedia namespace, Wikidata namespace). With this change, communities don't need admins to use the feature. However, wikis that don't want this change can remove and add the permitted namespaces at [[Special:CommunityConfiguration/CampaignEvents]]. * The Wikipedia project now has a {{int:project-localized-name-group-wikipedia/en}} in [[d:Q36720|Nupe]] ([[w:nup:|<code>w:nup:</code>]]). This is a language primarily spoken in the North Central region of Nigeria. Speakers of this language are invited to contribute to [[w:nup:Tatacin feregi|new Wikipedia]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Developers can now access pre-parsed Dutch Wikipedia, amongst others (English, German, French, Spanish, Italian, and Portuguese) through the [https://enterprise.wikimedia.com/docs/snapshot/#structured-contents-snapshot-bundle-info-beta Structured Contents snapshots (beta)]. The content includes parsed Wikipedia abstracts, descriptions, main images, infoboxes, article sections, and references. * The <code dir="ltr">/page/data-parsoid</code> REST API endpoint is no longer in use and will be deprecated. It is [[phab:T393557|scheduled to be turned off]] on June 7, 2025. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.1|MediaWiki]] '''In depth''' * The [https://wikitech.wikimedia.org/wiki/News/2025_Cloud_VPS_VXLAN_IPv6_migration IPv6 support] is a newly introduced Cloud virtual network that significantly boosts Wikimedia platforms' scalability, security, and readiness for the future. If you are a technical contributor eager to learn more, check out [https://techblog.wikimedia.org/2025/05/06/wikimedia-cloud-vps-ipv6-support/ this blog post] for an in-depth look at the journey to IPv6. '''Meetings and events''' * The 2nd edition of 2025 of [[m:Special:MyLanguage/Afrika Baraza|Afrika Baraza]], a virtual platform for African Wikimedians to connect, will take place on [https://zonestamp.toolforge.org/1747328400 May 15 at 17:00 UTC]. This edition will focus on discussions regarding [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2025-2026|Wikimedia Annual planning and progress]]. * The [[m:Special:MyLanguage/MENA Connect Community Call|MENA Connect Community Call]], a virtual meeting for [[w:en:Middle East and North Africa|MENA]] Wikimedians to connect, will take place on [https://zonestamp.toolforge.org/1747501200 May 17 at 17:00 UTC]. You can [[m:Event:MENA Connect (Wiki_Diwan) APP Call|register now]] to attend. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/20|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W20"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:37, 12 May 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28714188 --> == Tech News: 2025-21 == <section begin="technews-2025-W21"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/21|Translations]] are available. '''Weekly highlight''' * The Editing Team and the Machine Learning Team are working on a new check for newcomers: [[mw:Edit check/Peacock check|Peacock check]]. Using a prediction model, this check will encourage editors to improve the tone of their edits, using artificial intelligence. We invite volunteers to review the first version of the Peacock language model for the following languages: Arabic, Spanish, Portuguese, English, and Japanese. Users from these wikis interested in reviewing this model are [[mw:Edit check/Peacock check/model test|invited to sign up at MediaWiki.org]]. The deadline to sign up is on May 23, which will be the start date of the test. '''Updates for editors''' * From May 20, 2025, [[m:Special:MyLanguage/Oversight policy|oversighters]] and [[m:Special:MyLanguage/Meta:CheckUsers|checkusers]] will need to have their accounts secured with two-factor authentication (2FA) to be able to use their advanced rights. All users who belong to these two groups and do not have 2FA enabled have been informed. In the future, this requirement may be extended to other users with advanced rights. [[m:Special:MyLanguage/Mandatory two-factor authentication for users with some extended rights|Learn more]]. * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] [[m:Special:MyLanguage/Community Wishlist Survey 2023/Multiblocks|Multiblocks]] will begin mass deployment by the end of the month: all non-Wikipedia projects plus Catalan Wikipedia will adopt Multiblocks in the week of May 26, while all other Wikipedias will adopt it in the week of June 2. Please [[m:Talk:Community Wishlist Survey 2023/Multiblocks|contact the team]] if you have concerns. Administrators can test the new user interface now on your own wiki by browsing to [{{fullurl:Special:Block|usecodex=1}} {{#special:Block}}?usecodex=1], and can test the full multiblocks functionality [[testwiki:Special:Block|on testwiki]]. Multiblocks is the feature that makes it possible for administrators to impose different types of blocks on the same user at the same time. See the [[mw:Special:MyLanguage/Help:Manage blocks|help page]] for more information. [https://phabricator.wikimedia.org/T377121] * Later this week, the [[{{#special:SpecialPages}}]] listing of almost all special pages will be updated with a new design. This page has been [[phab:T219543|redesigned]] to improve the user experience in a few ways, including: The ability to search for names and aliases of the special pages, sorting, more visible marking of restricted special pages, and a more mobile-friendly look. The new version can be [https://meta.wikimedia.beta.wmflabs.org/wiki/Special:SpecialPages previewed] at Beta Cluster now, and feedback shared in the task. [https://phabricator.wikimedia.org/T219543] * The [[mw:Special:MyLanguage/Extension:Chart|Chart extension]] is being enabled on more wikis. For a detailed list of when the extension will be enabled on your wiki, please read the [[mw:Special:MyLanguage/Extension:Chart/Project#Deployment Timeline|deployment timeline]]. * [[f:Special:MyLanguage/Wikifunctions:Main Page|Wikifunctions]] will be deployed on May 27 on five Wiktionaries: [[wikt:ha:|Hausa]], [[wikt:ig:|Igbo]], [[wikt:bn:|Bengali]], [[wikt:ml:|Malayalam]], and [[wikt:dv:|Dhivehi/Maldivian]]. This is the second batch of deployment planned for the project. After deployment, the projects will be able to call [[f:Special:MyLanguage/Wikifunctions:Introduction|functions from Wikifunctions]] and integrate them in their pages. A function is something that takes one or more inputs and transforms them into a desired output, such as adding up two numbers, converting miles into metres, calculating how much time has passed since an event, or declining a word into a case. Wikifunctions will allow users to do that through a simple call of [[f:Special:MyLanguage/Wikifunctions:Catalogue|a stable and global function]], rather than via a local template. * Later this week, the Wikimedia Foundation will publish a hub for [[diffblog:2024/07/09/on-the-value-of-experimentation/|experiments]]. This is to showcase and get user feedback on product experiments. The experiments help the Wikimedia movement [[diffblog:2023/07/13/exploring-paths-for-the-future-of-free-knowledge-new-wikipedia-chatgpt-plugin-leveraging-rich-media-social-apps-and-other-experiments/|understand new users]], how they interact with the internet and how it could affect the Wikimedia movement. Some examples are [[m:Special:MyLanguage/Future Audiences/Generated Video|generated video]], the [[m:Special:MyLanguage/Future Audiences/Roblox game|Wikipedia Roblox speedrun game]] and [[m:Special:MyLanguage/Future Audiences/Discord bot|the Discord bot]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:29}} community-submitted {{PLURAL:29|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, there was a bug with creating an account using the API, which has now been fixed. [https://phabricator.wikimedia.org/T390751] '''Updates for technical contributors''' * Gadgets and user scripts that interact with [[{{#special:Block}}]] may need to be updated to work with the new [[mw:Special:MyLanguage/Help:Manage blocks|manage blocks interface]]. Please review the [[mw:Help:Manage blocks/Developers|developer guide]] for more information. If you need help or are unable to adapt your script to the new interface, please let the team know on the [[mw:Help talk:Manage blocks/Developers|talk page]]. [https://phabricator.wikimedia.org/T377121] * The <code dir=ltr>mw.title</code> object allows you to get information about a specific wiki page in the [[w:en:Wikipedia:Lua|Lua]] programming language. Starting this week, a new property will be added to the object, named <code dir=ltr>isDisambiguationPage</code>. This property allows you to check if a page is a disambiguation page, without the need to write a custom function. [https://phabricator.wikimedia.org/T71441] * [[File:Octicons-tools.svg|15px|link=|class=skin-invert|Advanced item]] User script developers can use a [[toolforge:gitlab-content|new reverse proxy tool]] to load javascript and css from [[gitlab:|gitlab.wikimedia.org]] with <code dir=ltr>mw.loader.load</code>. The tool's author hopes this will enable collaborative development workflows for user scripts including linting, unit tests, code generation, and code review on <bdi lang="zxx" dir="ltr">gitlab.wikimedia.org</bdi> without a separate copy-and-paste step to publish scripts to a Wikimedia wiki for integration and acceptance testing. See [[wikitech:Tool:Gitlab-content|Tool:Gitlab-content on Wikitech]] for more information. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.2|MediaWiki]] '''Meetings and events''' * The 12th edition of [[m:Special:MyLanguage/Wiki Workshop 2025|Wiki Workshop 2025]], a forum that brings together researchers that explore all aspects of Wikimedia projects, will be held virtually on 21-22 May. Researchers can [https://pretix.eu/wikimedia/wikiworkshop2025/ register now]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/21|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W21"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:12, 19 May 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28724712 --> == Tech News: 2025-22 == <section begin="technews-2025-W22"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/22|Translations]] are available. '''Weekly highlight''' * A community-wide discussion about a very delicate issue for the development of [[m:Special:MyLanguage/Abstract Wikipedia|Abstract Wikipedia]] is now open on Meta: where to store the abstract content that will be developed through functions from Wikifunctions and data from Wikidata. The discussion is open until June 12 at [[m:Special:MyLanguage/Abstract Wikipedia/Location of Abstract Content|Abstract Wikipedia/Location of Abstract Content]], and every opinion is welcomed. The decision will be made and communicated after the consultation period by the Foundation. '''Updates for editors''' * Since last week, on all wikis except [[phab:T388604|the largest 20]], people using the mobile visual editor will have [[phab:T385851|additional tools in the menu bar]], accessed using the new <code>+</code> toolbar button. To start, the new menu will include options to add: citations, hieroglyphs, and code blocks. Deployment to the remaining wikis is [[phab:T388605|scheduled]] to happen in June. * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] The <code dir=ltr>[[mw:Special:MyLanguage/Help:Extension:ParserFunctions##ifexist|#ifexist]]</code> parser function will no longer register a link to its target page. This will improve the usefulness of [[{{#special:WantedPages}}]], which will eventually only list pages that are the target of an actual red link. This change will happen gradually as the source pages are updated. [https://phabricator.wikimedia.org/T14019] * This week, the Moderator Tools team will launch [[mw:Special:MyLanguage/2025 RecentChanges Language Agnostic Revert Risk Filtering|a new filter to Recent Changes]], starting at Indonesian Wikipedia. This new filter highlights edits that are likely to be reverted. The goal is to help Recent Changes patrollers identify potentially problematic edits. Other wikis will benefit from this filter in the future. * Upon clicking an empty search bar, logged-out users will see suggestions of articles for further reading. The feature will be available on both desktop and mobile. Readers of Catalan, Hebrew, and Italian Wikipedias and some sister projects will receive the change between May 21 and mid-June. Readers of other wikis will receive the change later. The goal is to encourage users to read the wikis more. [[mw:Special:MyLanguage/Reading/Web/Content Discovery Experiments/Search Suggestions|Learn more]]. * Some users of the Wikipedia Android app can use a new feature for readers, [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/TrivaGame|WikiGames]], a daily trivia game based on real historical events. The release has started as an A/B test, available to 50% of users in the following languages: English, French, Portuguese, Russian, Spanish, Arabic, Chinese, and Turkish. * The [[mw:Special:MyLanguage/Extension:Newsletter|Newsletter extension]] that is available on MediaWiki.org allows the creation of [[mw:Special:Newsletters|various newsletters]] for global users. The extension can now publish new issues as section links on an existing page, instead of requiring a new page for each issue. [https://phabricator.wikimedia.org/T393844] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:32}} community-submitted {{PLURAL:32|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * The previously deprecated <code dir=ltr>[[mw:Special:MyLanguage/Manual:Ipblocks table|ipblocks]]</code> views in [[wikitech:Help:Wiki Replicas|Wiki Replicas]] will be removed in the beginning of June. Users are encouraged to query the new <code dir=ltr>[[mw:Special:MyLanguage/Manual:Block table|block]]</code> and <code dir=ltr>[[mw:Special:MyLanguage/Manual:Block target table|block_target]]</code> views instead. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.3|MediaWiki]] '''Meetings and events''' * [[d:Special:MyLanguage/Event:Wikidata and Sister Projects|Wikidata and Sister Projects]] is a multi-day online event that will focus on how Wikidata is integrated to Wikipedia and the other Wikimedia projects. The event runs from May 29 – June 1. You can [[d:Special:MyLanguage/Event:Wikidata and Sister Projects#Sessions|read the Program schedule]] and [[d:Special:RegisterForEvent/1291|register]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/22|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W22"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:04, 26 May 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28788673 --> == Tech News: 2025-23 == <section begin="technews-2025-W23"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/23|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Extension:Chart|Chart extension]] is now available on all Wikimedia wikis. Editors can use this new extension to create interactive data visualizations like bar, line, area, and pie charts. Charts are designed to replace many of the uses of the legacy [[mw:Special:MyLanguage/Extension:Graph|Graph extension]]. '''Updates for editors''' * It is now easier to configure automatic citations for your wiki within the visual editor's [[mw:Special:MyLanguage/Citoid/Enabling Citoid on your wiki|citation generator]]. Administrators can now set a default template by using the <code dir=ltr>_default</code> key in the local <bdi lang="en" dir="ltr">[[MediaWiki:Citoid-template-type-map.json]]</bdi> page ([[mw:Special:Diff/6969653/7646386|example diff]]). Setting this default will also help to future-proof your existing configurations when [[phab:T347823|new item types]] are added in the future. You can still set templates for individual item types as they will be preferred to the default template. [https://phabricator.wikimedia.org/T384709] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:20}} community-submitted {{PLURAL:20|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Starting the week of June 2, bots logging in using <code dir=ltr>action=login</code> or <code dir=ltr>action=clientlogin</code> will fail more often. This is because of stronger protections against suspicious logins. Bots using [[mw:Special:MyLanguage/Manual:Bot passwords|bot passwords]] or using a loginless authentication method such as [[mw:Special:MyLanguage/OAuth/Owner-only consumers|OAuth]] are not affected. If your bot is not using one of those, you should update it; using <code dir=ltr>action=login</code> without a bot password was deprecated [[listarchive:list/wikitech-l@lists.wikimedia.org/message/3EEMN7VQX5G7WMQI5K2GP5JC2336DPTD/|in 2016]]. For most bots, this only requires changing what password the bot uses. [https://phabricator.wikimedia.org/T395205] * From this week, Wikimedia wikis will allow ES2017 features in JavaScript code for official code, gadgets, and user scripts. The most visible feature of ES2017 is <bdi lang="zxx" dir="ltr"><code>async</code>/<code>await</code></bdi> syntax, allowing for easier-to-read code. Until this week, the platform only allowed up to ES2016, and a few months before that, up to ES2015. [https://phabricator.wikimedia.org/T381537] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.4|MediaWiki]] '''Meetings and events''' * Scholarship applications to participate in the [[m:Special:MyLanguage/GLAM Wiki 2025|GLAM Wiki Conference 2025]] are now open. The conference will take place from 30 October to 1 November, in Lisbon, Portugal. GLAM contributors who lack the means to support their participation can [[m:Special:MyLanguage/GLAM Wiki 2025/Scholarships|apply here]]. Scholarship applications close on June 7th. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/23|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W23"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:55, 2 June 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28819186 --> == Tech News: 2025-24 == <section begin="technews-2025-W24"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/24|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Trust and Safety Product|Trust and Safety Product team]] is finalizing work needed to roll out [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] on large Wikipedias later this month. The team has worked with stewards and other users with extended rights to predict and address many use cases that may arise on larger wikis, so that community members can continue to effectively moderate and patrol temporary accounts. This will be the second of three phases of deployment – the last one will take place in September at the earliest. For more information about the recent developments on the project, [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/Updates|see this update]]. If you have any comments or questions, write on the [[mw:Talk:Trust and Safety Product/Temporary Accounts|talk page]], and [[m:Event:CEE Catch up Nr. 10 (June 2025)|join a CEE Catch Up]] this Tuesday. '''Updates for editors''' * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] The [[mw:Special:MyLanguage/Help:Watchlist expiry|watchlist expiry]] feature allows editors to watch pages for a limited period of time. After that period, the page is automatically removed from your watchlist. Starting this week, you can set a preference for the default period of time to watch pages. The [[Special:Preferences#mw-prefsection-watchlist-pageswatchlist|preferences]] also allow you to set different default watch periods for editing existing pages, pages you create, and when using rollback. [https://phabricator.wikimedia.org/T265716] [[File:Talk pages default look (April 2023).jpg|thumb|alt=Screenshot of the visual improvements made on talk pages|Example of a talk page with the new design, in French.]] * The appearance of talk pages will change at almost all Wikipedias ([[m:Special:MyLanguage/Tech/News/2024/19|some]] have already received this design change, [[phab:T379264|a few]] will get these changes later). You can read details about the changes [[diffblog:2024/05/02/making-talk-pages-better-for-everyone/|on ''Diff'']]. It is possible to opt out of these changes [[Special:Preferences#mw-prefsection-editing-discussion|in user preferences]] ("{{int:discussiontools-preference-visualenhancements}}"). [https://phabricator.wikimedia.org/T319146][https://phabricator.wikimedia.org/T392121] * Users with specific extended rights (including administrators, bureaucrats, checkusers, oversighters, and stewards) can now have IP addresses of all temporary accounts [[phab:T358853|revealed automatically]] during time-limited periods where they need to combat high-speed account-hopping vandalism. This feature was requested by stewards. [https://phabricator.wikimedia.org/T386492] * This week, the Moderator Tools and Machine Learning teams will continue the rollout of [[mw:Special:MyLanguage/2025 RecentChanges Language Agnostic Revert Risk Filtering|a new filter to Recent Changes]], releasing it to several more Wikipedias. This filter utilizes the Revert Risk model, which was created by the Research team, to highlight edits that are likely to be reverted and help Recent Changes patrollers identify potentially problematic contributions. The feature will be rolled out to the following Wikipedias: {{int:project-localized-name-afwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-bnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cywiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hawwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-iswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kkwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-simplewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-trwiki/en}}. The rollout will continue in the coming weeks to include [[mw:Special:MyLanguage/2025 RecentChanges Language Agnostic Revert Risk Filtering|the rest of the Wikipedias in this project]]. [https://phabricator.wikimedia.org/T391964] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * AbuseFilter editors active on Meta-Wiki and large Wikipedias are kindly asked to update AbuseFilter to make it compatible with temporary accounts. A link to the instructions and the private lists of filters needing verification are [[phab:T369611|available on Phabricator]]. * Lua modules now have access to the name of a page's associated thumbnail image, and on [https://gerrit.wikimedia.org/g/operations/mediawiki-config/+/2e4ab14aa15bb95568f9c07dd777065901eb2126/wmf-config/InitialiseSettings.php#10849 some wikis] to the WikiProject assessment information. This is possible using two new properties on [[mw:Special:MyLanguage/Extension:Scribunto/Lua reference manual#added-by-extensions|mw.title objects]], named <code dir=ltr>pageImage</code> and <code dir=ltr>pageAssessments</code>. [https://phabricator.wikimedia.org/T131911][https://phabricator.wikimedia.org/T380122] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.5|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/24|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W24"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:16, 10 June 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28846858 --> == Tech News: 2025-25 == <section begin="technews-2025-W25"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/25|Translations]] are available. '''Updates for editors''' * You can [https://wikimediafoundation.limesurvey.net/359761?lang=en nominate your favorite tools] for the sixth edition of the [[m:Special:MyLanguage/Coolest Tool Award|Coolest Tool Award]]. Nominations are anonymous and will be open until June 25. You can re-use the survey to nominate multiple tools. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:33}} community-submitted {{PLURAL:33|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.6|MediaWiki]] '''In depth''' * Foundation staff and technical volunteers use Wikimedia APIs to build the tools, applications, features, and integrations that enhance user experiences. Over the coming years, the MediaWiki Interfaces team will be investing in Wikimedia web (HTTP) APIs to better serve technical volunteer needs and protect Wikimedia infrastructure from potential abuse. You can [https://techblog.wikimedia.org/2025/06/12/apis-as-a-product-investing-in-the-current-and-next-generation-of-technical-contributors/ read more about their plans to evolve the APIs in this Techblog post]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/25|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W25"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:38, 16 June 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28870688 --> == Tech News: 2025-26 == <section begin="technews-2025-W26"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/26|Translations]] are available. '''Weekly highlight''' * This week, the Moderator Tools and Machine Learning teams will continue the rollout of [[mw:Special:MyLanguage/2025 RecentChanges Language Agnostic Revert Risk Filtering|a new filter to Recent Changes]], releasing it to the third and last batch of Wikipedias. This filter utilizes the Revert Risk model, which was created by the Research team, to highlight edits that are likely to be reverted and help Recent Changes patrollers identify potentially problematic contributions. The feature will be rolled out to the following Wikipedias: {{int:project-localized-name-azwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-lawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mkwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-mrwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nnwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-pawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-swwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-tlwiki/en}}. The rollout will continue in the coming weeks to include [[mw:Special:MyLanguage/2025 RecentChanges Language Agnostic Revert Risk Filtering|the rest of the Wikipedias in this project]]. [https://phabricator.wikimedia.org/T391964] '''Updates for editors''' * Last week, [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] were rolled out on Czech, Korean, and Turkish Wikipedias. This and next week, deployments on larger Wikipedias will follow. [[mw:Talk:Trust and Safety Product/Temporary Accounts|Share your thoughts]] about the project. [https://phabricator.wikimedia.org/T340001] * Later this week, the Editing team will release [[mw:Special:MyLanguage/Help:Edit check#Multi check|Multi Check]] to all Wikipedias (except English Wikipedia). This feature shows multiple [[mw:Special:MyLanguage/Help:Edit check#Reference check|Reference checks]] within the editing experience. This encourages users to add citations when they add multiple new paragraphs to a Wikipedia article. This feature was previously available as an A/B test. [https://analytics.wikimedia.org/published/reports/editing/multi_check_ab_test_report_final.html#summary-of-results The test shows] that users who are shown multiple checks are 1.3 times more likely to add a reference to their edit, and their edit is less likely to be reverted (-34.7%). [https://phabricator.wikimedia.org/T395519] * A few pages need to be renamed due to software updates and to match more recent Unicode standards. All of these changes are related to title-casing changes. Approximately 71 pages and 3 files will be renamed, across 15 wikis; the complete list is in [[phab:T396903|the task]]. The developers will rename these pages next week, and they will fix redirects and embedded file links a few minutes later via a system settings update. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:24}} community-submitted {{PLURAL:24|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug was fixed that had caused pages to scroll upwards when text near the top was selected. [https://phabricator.wikimedia.org/T364023] '''Updates for technical contributors''' * Editors can now use Lua modules to filter and transform tabular data for use with [[mw:Special:MyLanguage/Extension:Chart|Extension:Chart]]. This can be used for things like selecting a subset of rows or columns from the source data, converting between units, statistical processing, and many other useful transformations. [[mw:Special:MyLanguage/Extension:Chart/Transforms|Information on how to use transforms is available]]. [https://www.mediawiki.org/wiki/Special:MyLanguage/Extension:Chart/Project/Updates] * The <code dir=ltr>all_links</code> variable in [[Special:AbuseFilter|AbuseFilter]] is now renamed to <code dir=ltr>new_links</code> for consistency with other variables. Old usages will still continue to work. [https://phabricator.wikimedia.org/T391811] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.7|MediaWiki]] '''In depth''' * The latest quarterly [[mw:Special:MyLanguage/Growth/Newsletters/34|Growth newsletter]] is available. It includes: the recent updates for the "Add a Link" Task, two new Newcomer Engagement Features, and updates to Community Configuration. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/26|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W26"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:21, 23 June 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28870688 --> == Tech News: 2025-27 == <section begin="technews-2025-W27"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/27|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|CampaignEvents extension]] has been enabled on all Wikipedias. The extension makes it easier to organize and participate in collaborative activities, like edit-a-thons and WikiProjects, on the wikis. The extension has three features: [[m:Special:MyLanguage/Event Center/Registration|Event Registration]], [[m:Special:MyLanguage/CampaignEvents/Collaboration list|Collaboration List]], and [[m:Campaigns/Foundation Product Team/Invitation list|Invitation List]]. To request the extension for your wiki, visit the [[m:Special:MyLanguage/CampaignEvents/Deployment status#How to Request the CampaignEvents Extension for your wiki|Deployment information page]]. '''Updates for editors''' * AbuseFilter maintainers can now [[mw:Special:MyLanguage/Extension:IPReputation/AbuseFilter variables|match against IP reputation data]] in [[mw:Special:MyLanguage/Extension:AbuseFilter|AbuseFilters]]. IP reputation data is information about the proxies and VPNs associated with the user's IP address. This data is not shown publicly and is not generated for actions performed by registered accounts. [https://phabricator.wikimedia.org/T354599] * Hidden content that is within [[mw:Special:MyLanguage/Manual:Collapsible elements|collapsible parts of wikipages]] will now be revealed when someone searches the page using the web browser's "Find in page" function (Ctrl+F or ⌘F) in supporting browsers. [https://phabricator.wikimedia.org/T327893][https://developer.mozilla.org/en-US/docs/Web/HTML/Reference/Global_attributes/hidden#browser_compatibility] * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] A new feature, called [[mw:Special:MyLanguage/Help:TemplateData/Template discovery|Favourite Templates]], will be deployed later this week on all projects (except English Wikipedia, which will receive the feature next week), following a piloting phase on Polish and Arabic Wikipedia, and Italian and English Wikisource. The feature will provide a better way for new and experienced contributors to recall and discover templates via the template dialog, by allowing users to put templates on a special "favourite list". The feature works with both the visual editor and the wikitext editor. The feature is a [[m:Special:MyLanguage/Community Wishlist/Focus areas/Template recall and discovery|community wishlist focus area]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:31}} community-submitted {{PLURAL:31|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug was fixed that had caused some Notifications to be sent multiple times. [https://phabricator.wikimedia.org/T397103] '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.8|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/27|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W27"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:40, 30 June 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28917415 --> == Tech News: 2025-28 == <section begin="technews-2025-W28"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/28|Translations]] are available. '''Weekly highlight''' * [[mw:Special:MyLanguage/Help:Temporary accounts|Temporary accounts]] have been rolled out on 18 large and medium-sized Wikipedias, including German, Japanese, French, and Chinese. Now, about 1/3 of all logged-out activity across wikis is coming from temporary accounts. Users involved in patrolling may be interested in two new documentation pages: [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/Access to IP|Access to IP]], explaining everything related to access to temporary account IP addresses, and [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts/Repository|Repository]] with a list of new gadgets and user scripts. '''Updates for editors''' * Anyone can play an experimental new game, [[mw:Special:MyLanguage/New Engagement Experiments/WikiRun|WikiRun]], that lets you race through Wikipedia by clicking from one article to another, aiming to reach a target page in as few steps and in as little time as possible. The project's goal is to explore new ways of engaging readers. [https://wikirun-game.toolforge.org/ Try playing the game] and let the team know what you think [[mw:Talk:New Engagement Experiments/WikiRun|on the talk page]]. * Users of the Wikipedia Android app in some languages can now play the new [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/TrivaGame|trivia game]]. ''Which came first?'' is a simple history game where you guess which of two events happened earlier on today's date. It was previously available as an A/B test. It is now available to all users in English, German, French, Spanish, Portuguese, Russian, Arabic, Turkish, and Chinese. The goal of the feature is to help engage with new generations of readers. [https://meta.wikimedia.org/wiki/Special:MyLanguage/Tech/News/2025/22] * Users of the iOS Wikipedia App in some languages may see a new tabbed browsing feature that enables you to open multiple tabs while reading. This feature makes it easier to explore related topics and switch between articles. The A/B test is currently running in Arabic, English, and Japanese in selected regions. More details are available on the [[mw:Special:MyLanguage/Wikimedia Apps/Team/iOS/Tabbed Browsing (Tabs)|Tabbed Browsing project page]]. * Bureaucrats on Wikimedia wikis can now use [[{{#special:VerifyOATHForUser}}]] to check if users have enabled [[mw:Special:MyLanguage/Help:Two-factor authentication|two-factor authentication]]. [https://phabricator.wikimedia.org/T265726] * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] A new feature related to [[m:Special:MyLanguage/Community Wishlist/Focus areas/Template recall and discovery|Template Recall and Discovery]] will be deployed later this week to all Wikimedia projects: a [[mw:Special:MyLanguage/Help:TemplateData/Template discovery#Template categories|template category browser]] will be introduced to assist users in finding templates to put in their “favourite” list. The browser will allow users to browse a list of templates which have been organised into a given category tree. The feature has been requested by the community [[m:Special:MyLanguage/Community Wishlist/Wishes/Select templates by categories|through the Community Wishlist]]. * It is now possible to access watchlist preferences from the watchlist page. Also the redundant button to edit the watchlist has been removed. [https://www.mediawiki.org/wiki/Moderator_Tools/Watchlist] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * As part of [[mw:MediaWiki_1.44|MediaWiki 1.44]] there is now a unified built-in Notifications system that makes it easier for developers to send, manage, and customize notifications. Check out the updated documentation at [[mw:Manual:Notifications|Manual:Notifications]], information about migration in [[phab:T388663|T388663]] and details on deprecated hooks in [[phab:T389624|T389624]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.9|MediaWiki]] '''Meetings and events''' * [[d:Special:MyLanguage/Event:WikidataCon 2025|WikidataCon 2025]], the conference dedicated to Wikidata is now open for [https://pretalx.com/wikidatacon-2025/cfp session proposals] and for [[d:Special:RegisterForEvent/1340|registration]]. This year's event will be held online from October 31 – November 02 and will explore on the theme of "Connecting People through Linked Open Data". '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/28|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W28"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:05, 8 July 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28930584 --> == Tech News: 2025-29 == <section begin="technews-2025-W29"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/29|Translations]] are available. '''Updates for editors''' * [[mw:Special:MyLanguage/Help:TemplateData/Template discovery#Featured templates|Featured templates]], a new feature related to [[m:Special:MyLanguage/Community Wishlist/Focus areas/Template recall and discovery|Template Recall and Discovery]] will be deployed this week to all Wikimedia projects: With this feature, editors will be able to quickly access a list of templates that are likely to be useful. These templates will be displayed in a list, under the "featured" tab of the template discovery interface. Administrators can define the list via the Community Configuration interface. The feature fulfills a request by the community [[m:Special:MyLanguage/Community Wishlist/Wishes/Easy access Templates|through the Community Wishlist]]. [https://phabricator.wikimedia.org/T367428][https://phabricator.wikimedia.org/T392896] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:31}} community-submitted {{PLURAL:31|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the request to add Malayalam fonts in the [[oldWikisource:Special:MyLanguage/Wikisource:WS Export|Wikisource Book Export Tool]] was resolved and now, the rendering of Malayalam letters in exported Wikisource books are accurate. [https://phabricator.wikimedia.org/T374457] '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.10|MediaWiki]] '''In depth''' * Developers, designers, and all Wikimedians are invited to [https://phabricator.wikimedia.org/project/board/7953/ submit a project idea] for the Wikimania Hackathon 2025. Read [https://diff.wikimedia.org/2025/06/30/call-for-projects-wikimania-hackathon-2025-is-coming-to-nairobi/ this Diff blog post] for more details. '''Meetings and events''' * [[m:WikiIndaba conference 2025|WikiIndaba 2025]] scholarship application and program submission is open until 23:59 GMT on July 20. WikiIndaba is a regional conference for African Wikimedians both on the continent and in the diaspora to unite and grow together. Submit [https://docs.google.com/forms/d/e/1FAIpQLSdJTv68R1OPASXXDfpIl8EWiMLTM-TDwh6_5gNVvFuWccFZ2Q/viewform your scholarship application] and [https://ee.kobotoolbox.org/x/BI3omIfH program proposal] now! * [https://br.wikimedia.org/wiki/WikiCon_Brasil_2025 WikiCon Brasil 2025] will take place on July 19-20 in Salvador, Bahia, Brazil. The Brazilian community members are encouraged to register and attend! '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/29|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W29"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:09, 14 July 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=28980963 --> == Tech News: 2025-30 == <section begin="technews-2025-W30"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/30|Translations]] are available. '''Updates for editors''' * The Translation Suggestions feature in the [[mw:Special:MyLanguage/Content translation|Content Translation tool]] now has another level of article filters added to the "[https://en.wikipedia.org/w/index.php?title=Special:ContentTranslation&filter-type=automatic&filter-id=previous-edits&active-list=suggestions&from=en&to=fi#/ ... More]" category. Translators who use the Suggestions feature can now select and receive article suggestions that are customized to geographical locations of their interest using the new "{{int:Cx-sx-suggestions-filters-tab-regions}}" filter. [https://phabricator.wikimedia.org/T113257] * Administrators can now limit "Add a Link" to newcomers. The [[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|"Add a Link"]] Structured Task [[mw:Special:MyLanguage/Growth/Constructive activation experimentation#Enwiki A/B test & "Add a Link" Improvements (Wiki Experiences 1.2.11 & 1.2.16)|helps new account holders start editing]], but some communities have requested the ability to restrict it to its intended audience: newcomers. Administrators can configure this setting within the [[Special:CommunityConfiguration/GrowthSuggestedEdits|Community Configuration]] feature. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:29}} community-submitted {{PLURAL:29|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * For AbuseFilter editors on [[phab:T392144|some wikis]], it is now possible to filter edits based on the RevertRisk score of the edit being attempted. It is only populated if the action being evaluated is an edit. For more information, please see the [[mw:Special:MyLanguage/Extension:ORES/AbuseFilter variables#What variables are available for use|ORES/AbuseFilter variables]] documentation. * The [[mw:Special:MyLanguage/Beta Cluster|Beta Cluster]] wikis have [[listarchive:list/wikitech-l@lists.wikimedia.org/thread/YDABPV75LADRQCXMJAFWUP256N4EQ25B/|been moved]] from <code dir=ltr>beta.wmflabs.org</code> to <code dir=ltr>beta.wmcloud.org</code>. Users may need to update URLs in any tools, or in their password managers. Any related issues can be [[phab:T289318|reported in the task]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.11|MediaWiki]] '''Meetings and events''' * [[m:Special:MyLanguage/WikiCite 2025|WikiCite 2025]] will take place from 29–31 August, both online and in-person in Bern, Switzerland. The event's goals are to reconnect communities, institutions, and individuals working with open citations, bibliographic data, and the Wikidata/Wikibase ecosystem. Registration is open and the call for proposals will be announced soon. [https://lists.wikimedia.org/hyperkitty/list/wikidata@lists.wikimedia.org/message/KQZUG3ETKLBWPBYSB2YAWZIRPWHS24TG/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/30|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W30"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:42, 21 July 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29005283 --> == Tech News: 2025-31 == <section begin="technews-2025-W31"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/31|Translations]] are available. '''Weekly highlight''' * The Community Tech team will be focusing on wishes related to Watchlists and Recent Changes pages, over the next few months. They are looking for feedback. Please [[m:Special:MyLanguage/Community Wishlist/Updates#July 24, 2025: Watchlists and Recent Changes pages|read the latest update]], and if you have ideas, please [[m:Special:MyLanguage/Community Wishlist|submit a wish]] on the topic. '''Updates for editors''' * The Wikimedia Commons community has decided to block [[:mw:Special:MyLanguage/Upload dialog|cross-wiki uploads]] to Wikimedia Commons, for all users without autoconfirmed rights on that wiki, starting on August 16. This is because of [[:c:Commons:Cross-wiki media upload tool/History|widespread problems]] related to files that are uploaded by newcomers. Users who are affected by this will get an error message with a link to the less restrictive UploadWizard on Commons. Please help translating the [[:c:Special:MyLanguage/MediaWiki:Abusefilter-disallowed-cross-wiki-upload|message]] or give feedback on the message text. Please also update your local help pages to explain this restriction. [https://phabricator.wikimedia.org/T370598] * On wikis with temporary accounts enabled and Meta-Wiki, administrators may now set up a footer for the Special:Contributions pages of temporary accounts, similar to those which can be shown on IP and user-account pages. They may do it by creating the page named <code dir=ltr>MediaWiki:Sp-contributions-footer-temp</code>. [https://phabricator.wikimedia.org/T398347] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:21}} community-submitted {{PLURAL:21|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.12|MediaWiki]] '''Meetings and events''' * [[wmania:Special:MyLanguage/2025:Wikimania|Wikimania 2025]] will run from August 6–9. The [https://wikimedia.eventyay.com/talk/wikimania2025/schedule/ program is available] for you to plan which sessions you want to attend. Most sessions will be live-streamed, with exceptions for those that show the "no camera" icon. If you are joining online to watch live-streams and use the interactive features, please [[wmania:Special:MyLanguage/2025:Registration|register]] for a free virtual ticket. For example, you may be interested in technical sessions such as: ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/KFEFVG/ Temporary Accounts: Enhancing privacy for our unregistered editors] ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/TVCVAB/ Building a Sustainable Future for Wikimedia Contributors] ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/WTRQCJ/ A dozen visions for wikitext!] ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/8YKKP9/ Coordinate Across Stakeholders with the Product and Technology Advisory Council] * The [[mw:Special:MyLanguage/MediaWiki Users and Developers Conference Fall 2025|MediaWiki Users and Developers Conference, Fall 2025]] will be held 28–30 October 2025 in Hanover, Germany. This event is organized by and for the third-party MediaWiki community. You can propose sessions and register to attend. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/31|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W31"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:26, 29 July 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29051727 --> == Tech News: 2025-32 == <section begin="technews-2025-W32"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/32|Translations]] are available. '''Updates for editors''' * Editors can now enable the [[mw:Special:MyLanguage/Product Safety and Integrity/Anti-abuse signals/User Info|User Info card]]. This feature adds an icon next to usernames on history pages and similar user-contribution log pages. When you tap or click on the icon, it displays data related to that user account such as the number of edits, reverted edits, blocks, and more. It's part of a broader project to make it easier for moderators to evaluate account trustworthiness. The feature can be enabled in [[testwiki:Special:GlobalPreferences#mw-prefsection-rendering|your global preferences]], and later this week it will be available in local preferences. [https://phabricator.wikimedia.org/T386439] * Everybody is invited to share comments on [[m:Special:MyLanguage/CampaignEvents/Collaborative contributions|Collaborative Contributions]], a project recently launched by the [[m:Special:MyLanguage/Connection Team|Connection team]]. The project aims to create a new way to display the impact of collaborative editing activities (such as edit-a-thons, backlog drives, and WikiProjects) on the wikis. Post your comments on the [[m:Talk:CampaignEvents/Collaborative contributions|project talk page]]. [https://phabricator.wikimedia.org/T378035] * Administrators can now define the default block duration for temporary accounts. To do that, they need to create a page named <code dir=ltr>MediaWiki:Ipb-default-expiry-temporary-account</code> and use a value defined in <code dir=ltr>MediaWiki:Ipboptions</code>. This allows administrators to easily block temporary accounts for 90 days, which is functionally equivalent to an indefinite block. The advantage of this solution is that it does not clutter Special:BlockList. [[mw:Special:MyLanguage/Manual:Block and unblock#Default block duration options|More documentation]] is available. [https://phabricator.wikimedia.org/T398626] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Gadgets can now include <code dir=ltr>.vue</code> files. This makes it easier to develop modern user interfaces using [[mw:Vue.js|Vue.js]], in particular using [[mw:Special:MyLanguage/Codex|Codex]], the official design system of Wikimedia. [[wmdoc:codex/latest/icons/overview.html|Codex icons]] can be loaded through the gadget definition. [[mw:Special:MyLanguage/Extension:Gadgets#Pages|The documentation]] has examples. For user scripts that use Vue.js, an [[mw:API:CodexIcons|API module]] now exists to load Codex icons. [https://phabricator.wikimedia.org/T340460][https://phabricator.wikimedia.org/T311099] * Module developers can now use a [[mw:Help:Extension:Translate/Message Bundles/Lua reference|Lua interface]] to simplify the preparation of Lua modules for translation on Meta-Wiki. This improvement makes it easier for translators to find and edit module strings without dealing with raw Lua code. It helps prevent mistakes that could break the module during translation. Module developers and translators are invited to [[commons:File:Translatable modules video demo July 2025.webm|watch the demo video]], read more about [[mw:Special:MyLanguage/Translatable modules|translatable modules]] to understand how it works, refer to Meta-Wiki's [[m:Module:User Wikimedia project|Module:User Wikimedia project]] for example usage, and [[mw:Talk:Translatable modules|share their feedback]] on how well it addresses the challenges in their workflow. The interface still has some performance issues, so it should not be used in widely used modules yet. [https://phabricator.wikimedia.org/T359918] * Developers of external tools that connect to Wikimedia pages must set a user-agent that complies with [[foundation:Special:MyLanguage/Policy:Wikimedia Foundation User-Agent Policy|the user-agent policy]]. This policy will start to be more strongly enforced in August because of external crawlers that are [[diffblog:2025/04/01/how-crawlers-impact-the-operations-of-the-wikimedia-projects/|overusing]] Wikimedia's resources. Tools that are hosted on Wikimedia's Toolforge or Cloud VPS will not be affected by this for now, but should still set a user-agent. [[phab:T400119|More technical details are available]], and related questions are welcome in that task. * Parsoid Read Views is going to be rolling out to some smaller Wikipedias over the next few weeks, following the successful transition of Wikivoyages and Wiktionaries to Parsoid Read Views. For more information, see the [[mw:Special:MyLanguage/Parsoid/Parser Unification|Parsoid/Parser Unification]] project page. [https://phabricator.wikimedia.org/project/profile/7694/] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.13|MediaWiki]] '''Meetings and events''' * [[wmania:Special:MyLanguage/2025:Wikimania|Wikimania 2025]] will run from August 6–9. The [https://wikimedia.eventyay.com/talk/wikimania2025/schedule/ program is available] for you to plan which sessions you want to attend. Most sessions will be live-streamed, with exceptions for those that show the "no camera" icon. If you are joining online to watch live-streams and use the interactive features, please [[wmania:Special:MyLanguage/2025:Registration|register]] for a free virtual ticket. For example, you may be interested in technical sessions such as: ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/GEH9DH/ Wikimedia’s knowledge infrastructure in a changing internet: Establishing sustainable pathways for content reuse] ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/7ELN9Q/ Wikifunctions is coming soon to a wiki near you!] ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/ZMGVJV/ Shaping the Future of Wikipedia’s Reader Experience] ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/KCKTFZ/ Making Wikipedia More Readable: What Comes Next] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/32|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W32"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 03:40, 5 August 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29083927 --> == Tech News: 2025-33 == <section begin="technews-2025-W33"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/33|Translations]] are available. '''Updates for editors''' * The WikiEditor toolbar now includes [[mw:Special:MyLanguage/Help:Extension:WikiEditor#Keyboard shortcuts|its keyboard shortcuts]] in the tooltips for its buttons. This will help to improve the discoverability of this feature. [https://phabricator.wikimedia.org/T400583] * The [[m:Special:MyLanguage/Product and Technology Advisory Council|Product and Technology Advisory Council]] published a set of [[m:Special:MyLanguage/Product and Technology Advisory Council/August 2025 draft PTAC proposals for feedback|proposed experiments]] the Wikimedia Foundation can try to improve communication with community. Feedback on the proposals are welcomed until August 22 on [[m:Talk:Product and Technology Advisory Council/August 2025 draft PTAC proposals for feedback|this talk page]]. * The search bar on the Minerva skin (mobile) has been updated to use the same type-ahead search component that is used on the Vector 2022 skin. There are no changes in search functionality but there are minor visual changes. Specifically, the close-search button has been changed from an "X" to a back arrow. This helps to distinguish it from the other "X" button that is used to clear any text. [https://phabricator.wikimedia.org/T393944] * Editors on some wikis will see a new toggle for "Group results by page" on watchlist, related changes, and recent changes pages. This is [[mw:Special:MyLanguage/Moderator Tools/Watchlist/Experiment|an A/B experiment]] that is planned to start on August 11, and will run for 3–6 weeks on the Bengali, Chinese, Czech, French, Greek, Portuguese, and Urdu Wikipedias. The experiment will examine how making this feature more discoverable might affect editors' ability to find the edits they are looking for. [https://phabricator.wikimedia.org/T396789] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:31}} community-submitted {{PLURAL:31|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * The multiwiki datasets of [[:wikt:en:Module:Unicode data|Unicode data]] have been moved to [[c:Category:Unicode Module Datasets|Category:Unicode Module Datasets]] on Wikimedia Commons, to follow the idea of "One common data source, multiple local wikis". Most wikis have been updated to use the Commons version. You can ask questions at [[c:Category talk:Unicode Module Datasets|the talkpage]]. [https://en.wiktionary.org/wiki/Module_talk:Unicode_data#Data_from_commons] * Lua code can add warnings when something is wrong, by using the <code dir=ltr>mw.addWarning()</code> function. It is now possible to add more than one warning, instead of new warnings replacing old ones. If you maintain a Lua module that used warnings, you should check it still works as expected. [https://phabricator.wikimedia.org/T398390] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.14|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/33|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W33"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:29, 11 August 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29106516 --> == Tech News: 2025-34 == <section begin="technews-2025-W34"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/34|Translations]] are available. '''Updates for editors''' * Later this week, people who are logged-in and have the "[[mw:Special:MyLanguage/Talk pages project/Feature summary|Discussion tools]]" [[Special:Preferences#mw-prefsection-betafeatures|Beta Feature]] enabled will gain the ability to "Thank" individual comments directly from talk pages, rather than needing to navigate to page history. [[mw:Special:MyLanguage/Talk pages project/Feature summary#Comment actions|Learn more about this feature]]. [https://phabricator.wikimedia.org/T400849] * An A/B test comparing two versions of the desktop donate link launched on testwiki on 12 August and on English Wikipedia 14 August for 0.1% of logged out users on the desktop site. The experiment will run for three weeks, ending on 12 September. [https://phabricator.wikimedia.org/T395716] * An A/A test to measure the baseline for reader retention was launched 12 August using [[wikitech:Experimentation Lab|Experimentation Lab]]. This measures the percentage of users who revisit a wiki after their initial visit over a 14-day period. No visual changes are expected. The experiment will run through 31 August. [https://phabricator.wikimedia.org/T399227] * Five new wikis have been created: ** a {{int:project-localized-name-group-wikisource/en}} in [[d:Q34057|Tagalog]] ([[s:tl:|<code>s:tl:</code>]]) [https://phabricator.wikimedia.org/T388639] ** a {{int:project-localized-name-group-wikisource/en}} in [[d:Q36213|Madurese]] ([[s:mad:|<code>s:mad:</code>]]) [https://phabricator.wikimedia.org/T391747] ** a {{int:project-localized-name-group-wikipedia/en}} in [[d:Q3450749|Rakhine]] ([[w:rki:|<code>w:rki:</code>]]) [https://phabricator.wikimedia.org/T392490] ** a {{int:project-localized-name-group-wikibooks/en}} in [[d:Q13324|Minangkabau]] ([[b:min:|<code>b:min:</code>]]) [https://phabricator.wikimedia.org/T395452] ** a {{int:project-localized-name-group-wiktionary/en}} in [[d:Q7598268|Standard Moroccan Amazigh]] ([[wikt:zgh:|<code>wikt:zgh:</code>]]) [https://phabricator.wikimedia.org/T399684] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:46}} community-submitted {{PLURAL:46|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.15|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/34|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W34"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:38, 19 August 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29127690 --> == Tech News: 2025-35 == <section begin="technews-2025-W35"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/35|Translations]] are available. '''Updates for editors''' * [[File:Octicons-gift.svg|12px|link=|class=skin-invert|Wishlist item]] [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Template authors can now use additional CSS properties, since the CSS sanitizer used by [[mw:Special:MyLanguage/Help:TemplateStyles|TemplateStyles]] was updated. For example: <code>width: fit-content</code>; <code>ruby-align</code>; relative units such as <code>lh</code>; and custom strings in <code>list-style-type</code>. These improvements are a [[m:Special:MyLanguage/Community Wishlist/Wishes/Allow use of modern CSS in templates by updating the TemplateStyles CSS sanitizer|Community Wishlist wish]]. [https://phabricator.wikimedia.org/T271958][https://phabricator.wikimedia.org/T277755][https://phabricator.wikimedia.org/T293633][https://phabricator.wikimedia.org/T295088][https://phabricator.wikimedia.org/T326906][https://phabricator.wikimedia.org/T340057][https://phabricator.wikimedia.org/T360725][https://phabricator.wikimedia.org/T371809][https://phabricator.wikimedia.org/T375344][https://phabricator.wikimedia.org/T394619] * On large wikis, the default time period to display edits from, within the Special:RecentChanges page, has been changed from 7 days to 1 day. This is part of a performance improvement project. This should have no user-facing impact due to the quantity of edits on these wikis. [https://phabricator.wikimedia.org/T399455] * Administrators can now access the [[{{#special:BlockedExternalDomains}}]] page from the [[{{#special:CommunityConfiguration}}]] list page. This makes it easier to find. [https://phabricator.wikimedia.org/T393240] * Wikimedia Commons videos were not shown in the Videos tab in Google Search. The problem was investigated and reported to Google who have now fixed the issue. [https://phabricator.wikimedia.org/T396168][https://meta.wikimedia.org/wiki/Community_Wishlist/Wishes/Do_something_about_Google_%26_DuckDuckGo_search_not_indexing_media_files_and_categories_on_Commons] * One new wiki has been created: a {{int:project-localized-name-group-wiktionary/en}} in [[d:Q33014|Betawi]] ([[wikt:bew:|<code>wikt:bew:</code>]]) [https://phabricator.wikimedia.org/T402130] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:39}} community-submitted {{PLURAL:39|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Two fields of the [[mw:Special:MyLanguage/Manual:Recentchanges table|recentchanges database table]] are being removed. <code>rc_new</code> and <code>rc_type</code> are being removed in favor of <code>rc_source</code>. Queries to these older fields will start to fail starting this week and developers should use <code>rc_source</code> instead. These older fields were deprecated over 10 years ago and should not be in use. This is part of work to improve the performance and stability of queries to the recentchanges table. [https://phabricator.wikimedia.org/T400696] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.16|MediaWiki]] '''In depth''' * The latest quarterly [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Newsletter/2025/July|Language and Internationalization Newsletter]] is now available. This edition includes: support for new languages in MediaWiki and translatewiki; the start of the Language Onboarding and Development project to help support the growth of new and small wikis; updates on research projects; and more. '''Meetings and events''' * The next [[mw:Special:MyLanguage/Wikimedia Language and Product Localization/Community meetings#29 August 2025|Language Community Meeting]] is happening soon, August 29th at [https://zonestamp.toolforge.org/1756479600 15:00 UTC]. This week's meeting will cover: the Avro keyboard developers from Wikimedia Bangladesh, who were recently awarded a national award for their contributions to this keyboard; and other topics. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/35|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W35"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 00:12, 26 August 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29175124 --> == Tech News: 2025-36 == <section begin="technews-2025-W36"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/36|Translations]] are available. '''Weekly highlight''' * The Editing team wants to compile a list of templates, jargon terms, and policies used in edit summaries when a copyright violation is removed. This will help them identify the number of edits reverted due to copyright issues. We invite community members from the following Wikis to list these terms in [[Phab:T402601|T402601]], or to share their list with [[User:Trizek (WMF)|Trizek_(WMF)]]: {{int:project-localized-name-arwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-cswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-dewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-enwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-eswiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-fawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-frwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-hewiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-idwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-itwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-jawiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-kowiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-nlwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-plwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ptwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-trwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-ukwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-viwiki/en}}{{int:comma-separator/en}}{{int:project-localized-name-zhwiki/en}}. This project is open until September 9th 2025. '''Updates for editors''' * The [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|CampaignEvents extension]] has been enabled for all Wikisources. The extension makes it easier to organize and participate in collaborative activities, like edit-a-thons and WikiProjects, on the wikis. The extension has three features: [[m:Special:MyLanguage/Event Center/Registration|Event Registration]], [[m:Special:MyLanguage/CampaignEvents/Collaboration list|Collaboration List]], and [[m:Special:MyLanguage/Connection Team/Invitation list|Invitation List]]. To request the extension for your wiki, visit the Deployment information page. [https://meta.wikimedia.org/wiki/CampaignEvents/Deployment_status#How_to_Request_the_CampaignEvents_Extension_for_your_wiki] * The lists in the footer of the editing interface, such as "Templates used on this page," will now be organized into columns when there is enough space. This enhancement minimizes scrolling when editing lengthy articles on Wikipedia. [https://phabricator.wikimedia.org/T401066] * On September 3rd, 2025 we will increase the sampling percentages of our [[mw:Special:MyLanguage/Moderator Tools/Watchlist/Experiment#Scope of the experiment|group by toggle experiment]] of the <code>Special:RecentChanges</code>, <code>Special:Watchlist</code>, and <code>Special:RelatedChanges</code> pages on the Chinese, French, and Portuguese Wikipedias to 100 percent, allowing more editors to be part of this experiment. This adjustment is intended to ensure we have sufficient data to make informed decisions when evaluating the experiment results. [https://phabricator.wikimedia.org/T402958][https://phabricator.wikimedia.org/T396789] * Upon clicking an empty search bar, logged-out users will see suggestions of articles for further reading on English Wikipedia beginning the week of September 22. The feature will be available on both desktop and mobile. All non-English wikis received this change in June and July. The goal is to make it easier for users to find articles. [[mw:Special:MyLanguage/Reading/Web/Content Discovery Experiments/Search Suggestions|Learn more]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:37}} community-submitted {{PLURAL:37|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.17|MediaWiki]] '''In depth''' * Wikifunctions now has a new capability called "lightweight enumeration types", an enumeration type is simply a fixed set of values that's in the type's definition. This capability makes it quick and easy to define such a type, and allows for the reuse of values that are already present in Wikidata. Here is [[f:Special:MyLanguage/Wikifunctions:Status updates/2025-07-19|a newsletter]] to learn more. * The latest [[mw:Special:MyLanguage/Readers/Newsletter updates#August 2025: Newsletter #1|Readers Newsletter]] is now available. This edition includes: the formation of two new teams — Reader Growth and Reader Experience; insights into declining pageviews and account creations; highlights from the Wikimania Nairobi panel on improving the reading experience; upcoming experiments to engage new and existing readers; and more. '''Meetings and events''' * Spotlight on some Wikimania 2025 Sessions: ** Identifying AI-generated text by searching for ISBNs whose checksums fail: Mathias Schindler of WMDE [https://www.youtube.com/watch?v=Dw9o8Lsl974&t=15910s shared tools to help communities search for these]. ** [https://wikimedia.eventyay.com/talk/wikimania2025/talk/TCHZKH/ La durabilité du mouvement Wikimedia face aux défis actuels et futurs]: This session explored how Wikimedia can stay a trusted source of knowledge in the age of generative AI, information overload, and disinformation. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/36|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W36"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:50, 1 September 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29196010 --> == Tech News: 2025-37 == <section begin="technews-2025-W37"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/37|Translations]] are available. '''Weekly highlight''' * The Editing team is working on a new check: [[mw:Special:MyLanguage/Paste check|Paste check]]. This check informs newcomers who paste text into Wikipedia that the content might not be accepted. This check is an effort to increase the likelihood that the new content people are adding to Wikipedia is aligned with the Movement's commitment to offering information under a free content license. This check will soon be tested at a few wikis. If your community is interested in this test, please [[phab:T403680|tell us in this task]], or [[mw:Talk:Edit check|contact the team]]. '''Updates for editors''' * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] Later this week, users of the "{{int:codemirror-beta-feature-title}}" [[Special:Preferences#mw-prefsection-betafeatures|beta feature]] will be able to use a [[w:en:Lint (software)|linting tool]] to see errors or other potential problems in wikitext in real time. See the [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Linting|help page for more information]]. [https://phabricator.wikimedia.org/T381577] * [[File:Octicons-tools.svg|12px|link=|class=skin-invert|Advanced item]] When browsing a wiki (like <code dir=ltr>en.wikipedia.org</code>), the software responds in one of two ways: a desktop page, or a redirect to a mobile version on an "m" domain (like <code dir=ltr>en.m.wikipedia.org</code>). Over the next three weeks, MediaWiki will start displaying the mobile version to mobile devices directly on the standard domain, without this redirect. This change does not affect existing m-dot URLs, or the "Desktop view" opt-out. [[mw:Requests for comment/Mobile domain sunsetting/2025 Announcement|Learn more]]. [https://phabricator.wikimedia.org/T214998] * When an edit changes the categories of a page, the changes to the category membership counts are now happening asynchronously. This improves the speed of saving edits, especially when moving many pages to or from the same category, and reduces the risk of site outages, but it means that the counts can show outdated information for a few minutes. [https://phabricator.wikimedia.org/T365303] * Edits on Wikidata to qualifiers (properties and values) and references (properties and values) in a Wikidata item statement will now not add entries to the RecentChanges or Watchlist pages on all other Wikis. This is a temporary change to improve performance while other solutions are created. Wikidata's own pages remain unchanged. [[m:Wikidata For Wikimedia Projects/Reduce change propagation noise#Phase 1: Turn off (temporarily) Qualifiers and References Wikidata edits to the Recent Changes tables|Learn more]]. [https://phabricator.wikimedia.org/T401286][https://phabricator.wikimedia.org/T400698] * Japanese-language wikis have had a major upgrade to the way that search works. The new search should generally give more accurate and more relevant search results. [https://phabricator.wikimedia.org/T318269] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:31}} community-submitted {{PLURAL:31|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.18|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/37|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W37"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 01:14, 9 September 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29238161 --> == Tech News: 2025-38 == <section begin="technews-2025-W38"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/38|Translations]] are available. '''Updates for editors''' * References lists that are made using the <code dir=ltr><nowiki><references/></nowiki></code> [[mw:Special:MyLanguage/Help:Cite#references-tag|tag]] will now automatically display with columns in Vector 2022 when readers are using its 'standard' settings for text-size and page-width. [https://phabricator.wikimedia.org/T334941] * Starting in the week of October 6, on [[gitiles:operations/mediawiki-config/+/a2d2aaab9ace84280dd2f4c70a33bb69cd73850f/dblists/small.dblist|small wikis]] and [[gitiles:operations/mediawiki-config/+/a2d2aaab9ace84280dd2f4c70a33bb69cd73850f/dblists/medium.dblist|medium wikis]] that have the [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|CampaignEvents extension]] enabled, all autoconfirmed users will be able to use [[m:Special:MyLanguage/Event Center/Registration|Event Registration]] as an organizer. No changes will be made for [[gitiles:operations/mediawiki-config/+/a2d2aaab9ace84280dd2f4c70a33bb69cd73850f/dblists/large.dblist|large wikis]] unless requested in Phabricator. This change is being made to make it easier for more people to use Event Registration, especially on wikis that are less likely to have policies related to the Event Organizer right. [[m:Special:MyLanguage/CampaignEvents/Proposal to grant autoconfirmed users on small and medium wikis the organizer access to the event registration tool|Learn more]]. * Users that search using regular expressions (regex) can now use additional features including: ** for the <code dir=ltr>intitle:</code> keyword: [[mw:Special:MyLanguage/Help:CirrusSearch#Metacharacters|metacharacters]] for start-of-line (<code dir=ltr>^</code>) and end-of-line (<code dir=ltr>$</code>) anchors [https://phabricator.wikimedia.org/T317599] ** for both <code dir=ltr>intitle:</code> and <code dir=ltr>insource:</code> keywords: shorthand [[mw:Special:MyLanguage/Help:CirrusSearch#Character_Classes|character classes]] for digits (<code dir=ltr>\d</code>), whitespace (<code dir=ltr>\s</code>), and word characters (<code dir=ltr>\w</code>); and [[mw:Special:MyLanguage/Help:CirrusSearch#Escape codes|escape codes]] for line feed (<code dir=ltr>\r</code>), newline (<code dir=ltr>\n</code>), tab (<code dir=ltr>\t</code>), and unicode (e.g. <code dir=ltr>\uHHHH</code>). [https://phabricator.wikimedia.org/T403212] * When you search for text that looks like an IP, the system will now show search results. It used to take you to the contributions for that IP instead of showing search results. [https://phabricator.wikimedia.org/T306325] * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on September 24. This is planned at [https://zonestamp.toolforge.org/1758726000 15:00 UTC]. This is for the datacenter server switchover backup tests which happen twice a year. You can [[diffblog:2025/03/12/hear-that-the-wikis-go-silent-twice-a-year/|read more about the background and details of this process on the Diff blog]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:24}} community-submitted {{PLURAL:24|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug was fixed that affected users who used the page-tabs to switch from wikitext editing of a section into the visualeditor. [https://phabricator.wikimedia.org/T401043] '''Updates for technical contributors''' * The MediaWiki Interfaces team is redesigning the Wikimedia REST API Sandbox with Codex. If you have feedback on improvements for the API documentation or what makes developer experiences smooth (or frustrating), you’re invited to [https://calendar.google.com/calendar/u/0/appointments/schedules/AcZssZ2aZzbXeQvjOF7gB1fJXiwAYemQjKf4sXNaRODPA7_obFyNBwkzNkoVCoTF-aeov89kIjXHbCQm join an upcoming discovery interview], or [[mw:MediaWiki Interfaces Team/Developer Feedback/Wikimedia Web APIs|leave feedback onwiki]]. [[listarchive:list/wikitech-l@lists.wikimedia.org/thread/C4FBAOA57PH6G5ORVMAUF5TGYBLZDU5Q/|Learn more]]. * Edits to Wikidata aliases (an alternative name for an item or a property) will now be shown in RecentChanges and Watchlist entries on other wikis less often, reducing unnecessary notifications. This will reduce the overall quantity of 'noisy' entries. Wikidata's own pages remain unchanged. [[m:Wikidata For Wikimedia Projects/Reduce change propagation noise#Phase 1: More granular Alias tracking|Learn more]]. [https://phabricator.wikimedia.org/T401288] * The new [https://www.unicode.org/versions/Unicode17.0.0/ Unicode 17.0] version has been released. The [[:c:Category:Unicode Module Datasets|datasets on Commons]] for the [[:d:Q39301585|Module:Unicode data]] have been updated. Wikipedias that do not use the Commons datasets should either update their own data or switch to the Commons datasets. * Users of the [[m:Special:MyLanguage/Wikimedia Enterprise|Wikimedia Enterprise]] Structured Contents endpoints can now access [https://enterprise.wikimedia.com/blog/parsed-wikipedia-tables/ Parsed Tables]. The new Parsed Tables feature extracts and represents Wikipedia tables in structured JSON. This improves machine accessibility as part of the [https://enterprise.wikimedia.com/api/structured-contents/ Structured Contents initiative]. Structured Contents output is freely available through the [https://enterprise.wikimedia.com/docs/on-demand/#article-structured-contents-beta On-demand API], or through Wikimedia Cloud Services. * A [https://www.kaggle.com/datasets/wikimedia-foundation/english-wikipedia-people-dataset dataset of English Wikipedia biographical information] from [[m:Special:MyLanguage/Wikimedia Enterprise|Wikimedia Enterprise]] has been published on Kaggle, for evaluation and research. This provides structured data from more than 1.5 million biographies, including birth and death dates, education, affiliations, careers, awards, and more (from a June 2024 snapshot). * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.19|MediaWiki]] '''Meetings and events''' * [[wmania:Special:MyLanguage/2026:Scholarships|Scholarship applications]] for Wikimania 2026 in Paris, France, are open until October 31. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/38|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W38"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 17:07, 15 September 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29263921 --> == Tech News: 2025-39 == <section begin="technews-2025-W39"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/39|Translations]] are available. '''Weekly highlight''' * [https://zonestamp.toolforge.org/1758726000 On September 24th at 15:00 UTC], all Wikimedia sites users will experience a brief read-only period due to a scheduled [[m:Special:MyLanguage/Tech/Server switch|datacenter server switchover]]. The Wikimedia Foundation's Site Reliability Engineering (SRE) team will redirect all traffic from one primary server to its backup. You can listen to the switchover using the [http://listen.hatnote.com/ "Listen to Wikipedia"] tool, where you will hear edits stop for a few minutes during the read-only phase, then resume. This twice-yearly datacenter server switchover ensures reliability by testing the backup datacenter, so that our sites can stay online even if the primary datacenter fails. You can [[diffblog:2025/03/12/hear-that-the-wikis-go-silent-twice-a-year/|read more about the process on the Diff blog]]. '''Updates for editors''' * Editors of [[f:Special:Mylanguage/Wikifunctions:Status updates/2025-09-12#Next round of Wiktionaries to receive embedded Wikifunctions calls|60 more Wiktionaries]] will soon be able to call [[f:Special:MyLanguage/Wikifunctions:Introduction|functions from Wikifunctions]] and integrate them into their pages. A function takes one or more inputs and transforms them into a desired output, like adding numbers, converting miles to meters, calculating elapsed time, or declining a word into a case. They will join the other [[f:Special:MyLanguage/Wikifunctions:Status updates/2025-08-29#Wikifunctions available on 65 Wiktionaries|65 Wiktionary language editions]], which already have access to embedded Wikifunctions calls. Later this year, plans are in place to expand to more Wiktionaries and the Incubator. * A new [[mw:Special:MyLanguage/Help:Magic words#Technical metadata of another page|parser function]] has been added: <code><nowiki>{{#contentmodel}}</nowiki></code>. Template editors and admins can use it to get the localized or canonical name of the [[mw:Special:MyLanguage/Help:ChangeContentModel|content model]] of a specific page. The function makes it easier to create and edit system messages, such as ''MediaWiki:editinginterface'', even when you switch types of pages, like wiki, JavaScript, CSS or JSON page. [https://phabricator.wikimedia.org/T328254] * Adding or editing a <code>DISPLAYTITLE</code> for an article using VisualEditor will no longer be broken. Editors who use VisualEditor mode to modify the <code><nowiki>{{DISPLAYTITLE}}</nowiki></code> would no longer have the literal text "DISPLAYTITLE" or its localized variant added to their articles. A list of pages that may have been affected and might need cleanup is documented in [[phab:P83438|this ticket]]. * Beta users of the Wikipedia Android app can now try the redesigned [[mw:Special:MyLanguage/Wikimedia Apps/Team/Android/Activity Tab Experiment|Activity tab]], which replaces the Edits tab. The new tab offers personalized insights into reading, editing, and donation activity, while simplifying navigation and making app use more engaging. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:12}} community-submitted {{PLURAL:12|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.20|MediaWiki]] '''In depth''' * Wikifunctions users can now import many essential facts involving [[f:Special:MyLanguage/Z6011|geo-coordinates]], [[f:Special:MyLanguage/Z6010|quantities]] and [[f:Special:MyLanguage/Z6064|time]] values from Wikidata. This is made possible by the creation of Wikifunctions types for these values, which makes them available for use by functions in Wikifunctions. Learn more about how this works in [[c:File:ImportingWikidataDatatypesIntoWikifunctions.webm|this video]] and Wikifunctions' [[f:Special:MyLanguage/Wikifunctions:Status updates/2025-08-01#News in Types I: Wikidata quantity|August 1 newsletter]] (for quantities) and [[f:Special:MyLanguage/Wikifunctions:Status updates/2025-08-22#News in Types: Wikidata geo-coordinate|August 22 newsletter]] (for geo-coordinates). '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/39|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W39"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 22:55, 22 September 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29305556 --> == Tech News: 2025-40 == <section begin="technews-2025-W40"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/40|Translations]] are available. '''Weekly highlight''' * A major software upgrade has been made to [[phab:|Phabricator]]. The update introduces performance improvements, a refreshed search interface, enhancements to Maniphest task search, updates to user profile pages and project workboards, new Herald automation features, as well as general text input, mobile experience improvements and more. [https://phabricator.wikimedia.org/phame/post/view/321/iterative_improvements_september_2025/] '''Updates for editors''' * The Community Tech team will release the new Community Wishlist extension on October 1, that will improve the way wishes will be submitted. The new extension will allow users to add tags to their wishes to better categorise them, and (in a future iteration) to filter them by status, tags and focus areas. It will also be possible to support individual wishes again, as requested by the community in many instances. The old system will be retired. There will be a brief period of downtime while the extension is deployed and wishes are migrated to the new system. You can read more about this [[:m:Special:MyLanguage/Community Wishlist/Updates|in the latest update]] or you can consult the [[:mw:Special:MyLanguage/Help:Extension:CommunityRequests|current documentation on MediaWiki]]. * As announced [[diffblog:2025/09/02/better-detecting-bots-and-replacing-our-captcha/|on Diff blog]], the production trial of the [[mw:Special:MyLanguage/Product Safety and Integrity/Anti-abuse signals/hCaptcha|hCaptcha]] service for bot detection has begun. The trial is currently using hCaptcha to protect account creation on Chinese, Persian, Portuguese, Indonesian, Japanese, and Turkish Wikipedias, where it will replace our existing [[mw:Special:MyLanguage/Extension:ConfirmEdit#FancyCaptcha|CAPTCHA]] (FancyCaptcha). The goal with the trial is to better block bots while also improving usability and accessibility for users who encounter CAPTCHA challenges. * The [[mw:Special:MyLanguage/Extension:CampaignEvents|CampaignEvents]] extension has been [[m:Special:MyLanguage/CampaignEvents/Deployment status|deployed]] to Wikimedia Commons. The extension makes it easier to organize and participate in collaborative activities, like edit-a-thons and WikiProjects, on the wikis. On Commons, anyone who is a registered user can use it as an event participant. To use it as an organizer, someone needs to have the [[c:Special:MyLanguage/Commons:Event organizers|event organizer right]]. * [[:m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|Sub-referencing]], a new feature to re-use references with different details has been released to German Wikipedia. You can [[:m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing#test|test the feature]] on testwiki or [https://en.wikipedia.beta.wmcloud.org/wiki/Sub-referencing on betawiki] as well. Please share your thoughts on [[:m:Talk:WMDE Technical Wishes/Sub-referencing#Templates used in sub-references|using templates in sub-references]] or [[:m:Talk:WMDE Technical Wishes/Sub-referencing#Pilot wikis|volunteer to become a pilot wiki]]. * On wikis using the [[mw:Special:MyLanguage/Help:Growth/Mentorship|Mentorship]] system, communities can now opt experienced editors out of Mentorship through [[{{#special:CommunityConfiguration/Mentorship}}]]. Within this setting, communities may define thresholds, based on edit count and account age, to decide when an editor is considered experienced enough to no longer receive Mentorship. [https://phabricator.wikimedia.org/T403563] * The Editing Team and the Machine Learning Team are working on a new check for newcomers: [[mw:Special:MyLanguage/Edit check/Tone Check|Tone check]]. Using a prediction model, this check will encourage editors to improve the tone of their edits, using artificial intelligence. We invite volunteers to review the first version of the Tone language model for the following languages: Arabic, Czech, German, Hebrew, Indonesian, Dutch, Polish, Russian, Turkish, Chinese, Farsi, Italian, Norwegian, Romanian and Latvian. Users from these wikis interested in reviewing this model are [[mw:Special:MyLanguage/Edit_check/Tone_Check/Model_evaluation|invited to sign up at MediaWiki.org]]. The deadline to sign up is on October 3, which will be the start date of the test. * The rollout of [[:mw:Special:MyLanguage/Help:Manage blocks|multiblocks]] had the side effect that non-active block logs may have been shown on {{#special:Contributions}} and on blocked users' user and user_talk pages. This issue will be fully resolved in a few days. As part of the fix, [{{fullurl:Special:Allmessages|prefix=sp-contributions-blocked-notice}} messages prefixed with <code>sp-contributions-blocked-notice</code>] will be removed and replaced with [{{fullurl:Special:Allmessages|prefix=blocked-notice-logextract}} those prefixed with <code>blocked-notice-logextract</code>] in a few weeks. Please help translate the new messages and update any local overrides if needed. * There was a bug with links added using visual editor if they included characters such as <code dir=ltr><nowiki>[ ] |</nowiki></code> after the fragment identifier (<code><nowiki>#</nowiki></code>). They were not encoded properly creating an incorrect link. This has been fixed. [https://phabricator.wikimedia.org/T404823] * One new wiki has been created: a {{int:project-localized-name-group-wikiquote/en}} in [[d:Q9237|Malay]] ([[q:ms:|<code>q:ms:</code>]]) [https://phabricator.wikimedia.org/T404698] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:21}} community-submitted {{PLURAL:21|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the [[mw:Special:MyLanguage/Product Safety and Integrity/Anti-abuse signals/User Info|User Info Card]] now displays currently active global lock/blocks. [https://phabricator.wikimedia.org/T401128] '''Updates for technical contributors''' * Later this week, editors using Lua modules will be able to use the <code>[[mw:Special:MyLanguage/Extension:Scribunto/Lua reference manual#mw.title.newBatch|mw.title.newBatch]]</code> function to look up the existence of up to 25 pages at once, in a way that only increases the [[mw:Special:MyLanguage/Manual:Parser functions#Expensive parser functions|expensive function]] count once. * A new [[m:Special:MyLanguage/Product and Technology Advisory Council/Unsupported Tools Working Group|Unsupported Tools Working Group]] has been formed as part of ongoing efforts to collectively determine technical work priorities, similar to the [[m:Special:MyLanguage/Product and Technology Advisory Council|Product & Technology Advisory Council]] (PTAC). The working group will help prioritize and review requests for support of unmaintained extensions, gadgets, bots, and tools. For the first cycle, the group will be prioritizing an unsupported Wikimedia Commons tool. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.21|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/40|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W40"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:52, 29 September 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29355230 --> == Tech News: 2025-41 == <section begin="technews-2025-W41"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/41|Translations]] are available. '''Weekly highlight''' * [[mw:Special:MyLanguage/Help:Edit check#paste|Paste Check]] is a new Edit Check feature to help avoid and fight copyright violations. When editors paste text into an article, Paste Check prompts them to confirm the origin and licensing of the content. Starting Wednesday, 8 October, [[phab:T403680|22 wikis will test Paste Check]]. Paste Check will help new volunteers understand and follow the policies and guidelines necessary to make constructive contributions to Wikipedia projects. '''Updates for editors''' * Mobile devices will receive mobile articles directly on the standard domain (like <code>en.wikipedia.org</code>), instead of via a redirect to an "m" domain (like <code>en.m.wikipedia.org</code>). This change improves performance. This week it will be enabled on Wikipedias. The existing mobile URLs and the "Desktop view" opt-out remain available. [[mw:Requests for comment/Mobile domain sunsetting/2025 Announcement|Learn more]]. [https://phabricator.wikimedia.org/T214998] * New [[mw:Special:MyLanguage/Help:CirrusSearch#creationdate and lasteditdate|date filters]], <code dir=ltr>creationdate:</code> and <code dir=ltr>lasteditdate:</code>, are now available in the wiki search engine. This allows users to filter search results by a page's first or last revision date. The filters support comparison operators (e.g. <code dir=ltr>>2024</code>) and relative dates (e.g. <code dir=ltr>today-1d</code>), making it easier to find recently updated content or pages within specific age ranges. [https://phabricator.wikimedia.org/T403593] * [[f:|Wikifunctions]] now supports rich text in embedded calls across the 150 wikis where it's enabled. To showcase this, the team created a [[f:Z26333|Latin declination table]] that Wiktionary editors can use to automatically generate noun forms, producing clear, formatted results — see an [[f:Wikifunctions:Embedded function calls/Wiktionary tables demonstration|example output]]. If you need any help or have any feedback, please [[f:Wikifunctions:Project chat|contact the Wikifunctions Team]]. [https://phabricator.wikimedia.org/T397402] * An edit link will now appear inside the categories box on article pages for logged in users, which will directly launch the VisualEditor category dialog. [https://phabricator.wikimedia.org/T291691] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:34}} community-submitted {{PLURAL:34|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, there was a problem downloading pdf files last week and that has been resolved. [https://phabricator.wikimedia.org/T405957] '''Updates for technical contributors''' * The field <code dir=ltr>rev_sha1</code> in the revision database table is being removed in favor of <code dir=ltr>content_sha1</code> in the content database table. See [https://lists.wikimedia.org/hyperkitty/list/cloud@lists.wikimedia.org/thread/2D2M3SP4WHR6BXXKTZ2PBLZQYR3EGQVR/ the announcement] for more information. * The [[mw:Special:MyLanguage/Reading/Web|Reader Experience team]] will roll out [[w:en:Light-on-dark color scheme|Dark Mode]] user interface on all Wikimedia sites on October 29, 2025. All anonymous users of Wikimedia sites will have the option to activate a color scheme that features light-colored text on a dark background. This is designed to provide a more comfortable reading experience, especially in low-light situations. Template authors and technical contributors are encouraged to [[mw:Special:MyLanguage/Reading/Web/Accessibility for reading/Updates/2024-04|learn how to make pages ready for Dark mode]] and address any compatibility issues found in templates in their wiki before the enablement. Please contact the Web team for questions or any support on [[mw:Talk:Reading/Web/Accessibility for reading#|this talk page]] before the enablement. [https://phabricator.wikimedia.org/T395628] * Starting on Monday, October 6, API endpoints under the <code>rest.php</code> path will be rerouted through a new internal API Gateway. Individual wikis will be updated based on the standard release groups, with total traffic increased over time. This change is expected to be non-breaking and non-disruptive. If any issues are observed, please file a Phabricator ticket to the [[phab:tag/serviceops/|Service Ops team board]]. [https://phabricator.wikimedia.org/T400130] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.22|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/41|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W41"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 17:23, 6 October 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29400897 --> == Tech News: 2025-42 == <section begin="technews-2025-W42"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/42|Translations]] are available. '''Weekly highlight''' * Last week, improvements to account security and two-factor authentication (2FA) features were enabled across all wikis. These changes include user interface improvements for [https://auth.wikimedia.org/metawiki/wiki/Special:AccountSecurity Special:AccountSecurity], the support of multiple 2FA methods via authenticator apps and portable security keys (previously users could only enable one method), and a new Recovery Codes module which facilitates fewer account lockouts due to lost two-factor apps and devices. As part of the [[mw:Special:MyLanguage/Product Safety and Integrity/Account Security|Account Security]] project, work is continuing through the rest of 2025 on further user experience improvements, and support for passkeys as an alternate second factor. '''Updates for editors''' * Another part of the Account security project is making 2FA generally available to all users. Along with editors with advanced privileges, such as administrators and bureaucrats, 40% of editors now have access to 2FA. You can check if you have access at [https://auth.wikimedia.org/metawiki/wiki/Special:AccountSecurity Special:AccountSecurity]. Instructions for activation are on the linked page. The plan is to continue increasing availability if it is determined that the user support capabilities are able to support global usage. [https://phabricator.wikimedia.org/T400579] * This week, users at wikis where talk page [[mw:Special:MyLanguage/Talk pages project/Usability|Usability Improvements]] are already available by default (everywhere ''except'' the 12 wikis listed in [[phab:T379264|T379264]]) will gain the ability to Thank a comment directly from the talk page it appears on. Before this change, Thanking could only be done by visiting the revision history of the talk page. You can [[diffblog:2025/10/13/revolutionizing-gratitude-a-new-era-of-thanking-comments/|learn more about this change]]. [https://phabricator.wikimedia.org/T366095] * Users who have not [[Special:Preferences#mw-prefsection-personal-email|verified their email address]] will soon be receiving monthly Notification reminders to do so. This is because users who have verified their email can more easily recover their account. These reminders will not be sent if the user is inactive or removes the unverified email from their account. [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Email_confirmation][https://phabricator.wikimedia.org/T58074] * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:21}} community-submitted {{PLURAL:21|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a fix was made for an occasional error with saving translated paragraphs in the Content Translation tool, and the related error messages are now easier to see. [https://phabricator.wikimedia.org/T376531] '''Updates for technical contributors''' * The Unsupported Tools Working Group has chosen [[c:Special:MyLanguage/Commons:Video2commons|Video2Commons]] as the first tool for its pilot cycle. The group will explore ways to improve and sustain the tool over the coming months. [[m:Special:MyLanguage/Product and Technology Advisory Council/Unsupported Tools Working Group|Learn more on Meta]]. * [[File:Octicons-sync.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.23|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/42|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W42"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:59, 13 October 2025 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29434481 --> == Tech News: 2025-43 == <section begin="technews-2025-W43"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/43|Translations]] are available. '''Updates for editors''' * To optimize how user data is stored in our databases, the saved preferences of users who haven't logged in for over five years and have fewer than 100 edits will be cleared. When those users return, default settings will apply. [https://phabricator.wikimedia.org/T406724] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:20}} community-submitted {{PLURAL:20|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, there was a broken link from the GlobalContributions interface message to the XTools GlobalContributions page which has now been fixed. [https://phabricator.wikimedia.org/T406415] '''Updates for technical contributors''' * The work to reroute all traffic to API endpoints under the <code dir=ltr><nowiki>rest.php</nowiki></code> route through a common API gateway is now complete. If any issues are observed, please file a phabricator ticket to the [[phab:tag/serviceops/|Service Ops team board]]. * Edits to Wikidata references or qualifiers will now be shown in RecentChanges and Watchlist entries on other wikis less often, reducing unnecessary notifications. This will reduce the overall quantity of 'noisy' entries. Wikidata's own pages remain unchanged. [https://phabricator.wikimedia.org/T401290] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.24|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/43|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W43"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:36, 20 October 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29478670 --> == Tech News: 2025-44 == <section begin="technews-2025-W44"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/44|Translations]] are available. '''Updates for editors''' * The Wikipedia iOS app has launched an A/B/C test of improvements made to the tabbed browsing feature for select regions and languages. The test, named “More dynamic tabs”, explores new tab experiences and includes “Did you know” and “Because you read” article recommendations. You can [[mw:Special:MyLanguage/Wikimedia Apps/Team/iOS/Tabbed Browsing (Tabs)/New Tab Experience and Recommendations Experiment|read more on the project page]]. * Autoconfirmed users on [[gitiles:operations/mediawiki-config/+/a2d2aaab9ace84280dd2f4c70a33bb69cd73850f/dblists/small.dblist|small]] and [[gitiles:operations/mediawiki-config/+/a2d2aaab9ace84280dd2f4c70a33bb69cd73850f/dblists/medium.dblist|medium wikis]] with the CampaignEvents extension can now use [[m:Special:MyLanguage/Event Center/Registration|Event Registration]] without the Event Organizer right. This feature lets organizers enable registration, manage participants, and lets users register with one click instead of signing event pages. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:31}} community-submitted {{PLURAL:31|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue of flashing colors when holding or pressing the arrow keys under the dark mode settings in Vector 2022 has been fixed. [https://phabricator.wikimedia.org/T402285] '''Updates for technical contributors''' * The CampaignEvents extension will be deployed to all remaining wikis during the week of 17 November 2025. The extension currently includes three features: Event Registration, Collaboration List, and Invitation List. For this rollout, Invitation List will not be enabled on Wikifunctions and MediaWiki unless requested by those communities. [[m:Special:MyLanguage/CampaignEvents/Deployment status|Visit the deployment page to learn more]]. * The SwaggerUI-based REST sandbox experience is now live on all wiki projects. The sandbox can be accessed through the [[{{#special:RestSandbox}}]] page. Please report any issues to the MediaWiki Interfaces team board, or join the discussion on the [[mw:Special:MyLanguage/MediaWiki Interfaces Team/Feature Feedback/REST Sandbox|project launch]] page. [https://phabricator.wikimedia.org/project/board/6931/] * Transform endpoints with a trailing slash path in the MediaWiki REST API are now marked as deprecated. They will remain functional during this time, but removal is expected by the end of January 2026. All API users currently calling them are encouraged to transition to the non-trailing slash versions. Both endpoint variations can be found and tested using the [https://test.wikipedia.org/w/index.php?api=mw-extra&title=Special%3ARestSandbox REST Sandbox]. See the [[mw:API/Deprecation|MediaWiki REST API Deprecation]] page for more detailed information about the API deprecation policies and procedures. * A dedicated [[mw:API:REST API/Changelog|changelog now exists for the MediaWiki REST API]]. The changelog provides an overview of these changes, making it easier for developers to keep track of improvements and iterations. Announcements will also continue to flow through the standard communication channels, including Tech News and email distribution lists, but can now be more easily referenced from a central location. If you have feedback about the style, structure, or content of this changelog, please [[mw:API talk:REST API/Changelog|join the discussion]]. * Administrators can delete the tracking category which was previously added by the JsonConfig extension, as it is no longer used. See the categories linked from [[d:Q130635582#sitelinks-wikipedia|Q130635582]]. It is OK if there are still pages listed in the category as that is just a caching issue, and they will be automatically cleared out the next time each page is edited. [https://phabricator.wikimedia.org/T378352] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.25|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/44|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W44"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:31, 27 October 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29513638 --> == Tech News: 2025-45 == <section begin="technews-2025-W45"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/45|Translations]] are available. '''Updates for editors''' * Administrators will now find that [[{{#special:MergeHistory}}]] is now significantly more flexible about what it can merge. It can now merge sections taken from the middle of the history of the source (rather than only the start) and insert revisions anywhere in the history of the destination page (rather than only the start). [https://phabricator.wikimedia.org/T382958] * For users with "{{int:discussiontools-preference-autotopicsub}}" [[Special:Preferences#mw-prefsection-editing|enabled in their preferences]], starting a new topic or adding a reply to an existing topic will now subscribe them to replies to that topic. Previously, this would only happen if the DiscussionTools "{{int:Skin-action-addsection}}" or "{{int:Discussiontools-replybutton}}" widgets were used. When DiscussionTools was originally launched existing accounts were not opted in to automatic topic subscriptions, so this change should primarily affect newer accounts and users who have deliberately changed their preferences since that time. [https://phabricator.wikimedia.org/T290778] * Scribunto modules can now be used to [[mw:Special:MyLanguage/Extension:Scribunto/Lua reference manual#SVG library|generate SVG images]]. This can be used to build charts, graphics and other visualizations dynamically through Lua, reducing the need to compose them externally and upload them as files. [https://phabricator.wikimedia.org/T405861] * Wikimedia sites now provide all anonymous users with the option to enable a dark mode color scheme, featuring light-colored text on a dark background. This enhancement aims to deliver a more enjoyable reading experience, especially in dimly lit environments. [https://phabricator.wikimedia.org/T395628] * Users with large watchlists have long faced timeouts when editing [[Special:EditWatchlist|Special:EditWatchlist]]. The page now loads entries in smaller sections instead of all at once due to a paging update, allowing everyone to edit their watchlists smoothly. As part of the database update, sorting by expiry has been removed because it was over 100× slower than sorting by title. A [https://meta.wikimedia.org/wiki/Community_Wishlist/W454 community wish] has been created to explore alternative ways to restore sort-by-expiry. If this feature is important to you, please support the wish! [https://phabricator.wikimedia.org/T41510] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:31}} community-submitted {{PLURAL:31|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the fixing of the persisting highlighting when using VisualEditor find and replace during a query. [https://phabricator.wikimedia.org/T407318] '''Updates for technical contributors''' * Since 2019 the [[m:Special:MyLanguage/Wikimedia URL Shortener|Wikimedia URL Shortener]] at https://w.wiki is available for all Wikimedia wikis to create short links to articles, permalinks, diffs, etc. It is available in the sidebar as "Get shortened URL". There are 30 wikis that also install an older "ShortUrl" extension. The old extension will soon be removed. This means <code>/s/</code> URLs will not be advertised under article titles via HTML <code dir=ltr>class="title-shortlink"</code>. The <code>/s/</code> URLs will keep working. [https://phabricator.wikimedia.org/T107188] * On Thursday, October 30, the [[:mw:Special:MyLanguage/MediaWiki Interfaces Team|MediaWiki Interfaces]] and [[:mw:Special:MyLanguage/Wikimedia Site Reliability Engineering|SRE Service Operations]] teams began rerouting Action API traffic through a common API gateway. Individual wikis will be updated based on the standard release groups, with total traffic increased over time. This change is expected to be non-breaking and non-disruptive. If any issues are observed, please file a Phabricator ticket to the [https://phabricator.wikimedia.org/tag/serviceops/ Service Ops team] board. * MediaWiki Train deployments will pause for the final two weeks of 2025: 22 December and 29 December. Backport windows will also pause between Monday, 22 December 2025 and Thursday, 2 January 2026. A backport window is a scheduled time to add things like bug fixes and configuration changes. There are seven deployment trains remaining for 2025. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/SMWTEAES4SDLDUSK4HMWNBSKNCXZAWYN/] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.45/wmf.26|MediaWiki]] '''In depth''' * In 2025, the Wikimedia Foundation reported that AI systems and search engines increasingly use Wikipedia content without driving users to the site, contributing to an 8% drop in human pageviews compared to 2024. After detecting bots disguised as humans, Wikimedia updated its traffic data to reflect this shift. Read more about current user trends on Wikipedia in [[diffblog:2025/10/17/new-user-trends-on-wikipedia/|a Diff blog post]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/45|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W45"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:34, 3 November 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29552512 --> == Tech News: 2025-46 == <section begin="technews-2025-W46"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/46|Translations]] are available. '''Updates for editors''' [[File:Talk pages default look (April 2023).jpg|thumb|alt=Screenshot of the visual improvements made on talk pages|Example of a talk page with the new design, in French.]] * Starting November 12, users will see a change in the [[m:Special:MyLanguage/Talk pages project/Feature summary#Usability improvements|appearance of talk pages]] on [[Phab:T379264|some Wikipedias]]. Almost [[phab:T392121|all wikis]] have received this design change; [[phab:T409297|English Wikipedia]] will get these changes later. You can read more [[diffblog:2024/05/02/making-talk-pages-better-for-everyone/|on ''Diff'']]. Users can opt out of these changes [[Special:Preferences#mw-prefsection-editing|in their user preferences]] in "{{int:discussiontools-preference-visualenhancements}}". [https://phabricator.wikimedia.org/T379264] * MediaWiki can now display a [[mw:Special:MyLanguage/Help:Protection indicators|page indicator]] automatically while a page is protected. This feature is disabled by default. It can be enabled by [[m:Special:MyLanguage/Requesting wiki configuration changes|community request]]. [https://phabricator.wikimedia.org/T12347] * Using the "{{int:showpreview}}" or "{{int:showdiff}}" buttons in the wikitext editor will now carry over certain URL parameters like '[[mw:Special:MyLanguage/Manual:Parameters to index.php#useskin|useskin]]', '[[mw:Special:MyLanguage/Manual:Parameters to index.php#uselang|uselang]]' and '[[mw:Special:MyLanguage/Help:Section#Editing sections|section]]'. This update also fixes an issue where, if the browser crashed while previewing an edit to a single section, saving this edit could overwrite the entire page with just that section’s content. [https://phabricator.wikimedia.org/T62744][https://phabricator.wikimedia.org/T24029][https://phabricator.wikimedia.org/T155097] * Wikivoyage wikis can use [[mw:Special:MyLanguage/Help:Extension:Kartographer#Markers and counters|colored map markers in the article text]]. The text of these markers will now be shown in contrasting black or white color, instead of always being white. Local workarounds for the problem can be removed. [https://phabricator.wikimedia.org/T369454] * The Activity tab in the Wikipedia Android app is now available for all users. The new tab offers personalized insights into reading, editing, and donation activity, while simplifying navigation and making app use more engaging. [https://www.mediawiki.org/wiki/Wikimedia_Apps/Team/Android/Activity_Tab_Experiment] * The Reader Growth team is launching an experiment called "Image browsing" to test how to make it easier for readers to browse and discover images on Wikipedia articles. This experiment, a mobile-only A/B test, will go live on English Wikipedia in the week of November 17 and will run for four weeks, affecting 0.05% of users on English wiki. The test launched on November 3 on Arabic, Chinese, French, Indonesian, and Vietnamese wikis, affecting up to 10% of users on those wikis. [https://www.mediawiki.org/wiki/Readers/Reader_Growth/WE3.1.3_Image_Browsing] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example the inability to lock accounts on mobile sites has been fixed. [https://phabricator.wikimedia.org/T256185] '''Updates for technical contributors''' * [[wikitech:Help talk:Toolforge/Toolforge standards committee#November 2025 committee nominations|Nominations are open on Wikitech]] for new [[wikitech:Help:Toolforge/Toolforge standards committee|Toolforge standards committee]] members. The committee oversees the Toolforge [[wikitech:Help:Toolforge/Right to fork policy|Right to fork policy]] and [[wikitech:Help:Toolforge/Abandoned tool policy|Abandoned tool policy]] among other duties. Nominations will remain open through 2025-11-28. * The [[w:JSON Web Token#Standard fields|JWT issuer field]] in [[mw:Special:MyLanguage/OAuth/For Developers#OAuth 2|OAuth 2 access tokens]] for [[m:Special:MyLanguage/Help:Unified login|SUL wikis]] has been changed to <code><nowiki>https://meta.wikimedia.org</nowiki></code>. Old access tokens will still work. [https://phabricator.wikimedia.org/T399199] * The [[w:JSON Web Token#Standard fields|JWT subject field]] in [[mw:Special:MyLanguage/OAuth/For Developers#OAuth 2|OAuth 2 access tokens]] will soon change from <code><user id></code> to <code dir=ltr style="white-space:nowrap">mw:<identity type>:<user id></code>, where <code><identity type></code> is typically <code dir=ltr>CentralAuth:</code><!-- not a typo --> (for [[m:Special:MyLanguage/Help:Unified login|SUL wikis]]) or <code dir=ltr style="white-space:nowrap">local:<wiki id></code> (for other wikis). This is to avoid conflicts between different user ID types, and to make OAuth 2 access tokens and the <code>sessionJwt</code> cookie more similar. Old access tokens will still work. [https://phabricator.wikimedia.org/T399199] * MediaWiki's block messages ([[MediaWiki:Blockedtext|blockedtext]], [[MediaWiki:Blockedtext-partial|blockedtext-partial]], [[MediaWiki:Autoblockedtext|autoblockedtext]], [[MediaWiki:Systemblockedtext|systemblockedtext]], [[MediaWiki:Blockedtext-tempuser|blockedtext-tempuser]], [[MediaWiki:Autoblockedtext-tempuser|autoblockedtext-tempuser]]) now support additional parameters indicating whether the user is blocked from editing their own user talk page <code><nowiki>$9</nowiki></code> or emailing other users <code><nowiki>$</nowiki><nowiki>10</nowiki></code>. [https://phabricator.wikimedia.org/T285612] * A <code>REL1_45</code> branch for MediaWiki core and each of the extensions and skins in Wikimedia git has been created. This is the first step in the release process for MediaWiki 1.45.0, scheduled for late November 2025. If you are working on a critical bug fix or working on a new feature, you may need to take note of this change. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/ZUY7TY3Z6XPZWZVAZV63OPO5OW52Q6GE/] * The process for generating CirrusSearch dumps has been updated due to slowing performance. If you encounter any issues migrating to the replacement dumps, please contact the Search Platform Team for support. [https://phabricator.wikimedia.org/T366248][https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/3KQPOR6ACVN6OVLMLZPIBXQSWQKW4E3K/] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.2|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/46|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W46"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:38, 10 November 2025 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29606150 --> == Tech News: 2025-47 == <section begin="technews-2025-W47"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/47|Translations]] are available. '''Updates for editors''' * The [[mw:Special:MyLanguage/Readers/Reader Experience|Reader Experience team]] is experimenting with [[mw:Special:MyLanguage/Readers/Reader Experience/WE3.3.4_Reading lists|reading lists on mobile web]], allowing logged-in readers with no edits to save private lists of articles for later. The experiment is running on Arabic, Chinese, French, Indonesian, and Vietnamese Wikipedias since the week of 10 November, and will begin on English Wikipedia the week of 17 November. * Users who can’t receive their email verification code during login can now get help by submitting a form on a new special page. This update is part of the [[mw:Special:MyLanguage/Product Safety and Integrity/Account Security|Account Security]] initiative. If your account has an email address, please make sure you still have access to it. When logging in from a new device or location without 2FA, you may be asked to enter a 6-digit code sent by email to finish logging in. [[mw:Special:MyLanguage/Product Safety and Integrity/Account Security#Why are you requiring me to enter a code from my email to log in? Can I opt out of this?|Learn more]]. * One new wiki has been created: a {{int:project-localized-name-group-wikisource}} in [[d:Q13324|Minangkabau]] ([[s:min:|<code>s:min:</code>]]) [https://phabricator.wikimedia.org/T408317] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * As part of the [[mw:Special:MyLanguage/Parsoid/Parser Unification|Parser Unification]] project, the Content Transform Team rolled out Parsoid as the default parser to many low-traffic Wikipedias and is preparing the next step to high traffic ones. This message is an invitation for you to opt-in to Parsoid, as described in the [[mw:Special:MyLanguage/Help:Extension:ParserMigration|Extension:ParserMigration]] documentation, and identify any issues you might encounter with your own workflow using bots, gadgets, or user scripts. Please, let us know through the ''"Report Visual Bug"'' link in the Tools sidebar or create a phab ticket and tag the [[phab:project/view/5846|Content Transform Team in Phabricator]]. * Unsupported Tools: Several issues with [[:c:Special:MyLanguage/Commons:Video2commons|Video2Commons]] have been fixed, including filename-related upload failures, black-video imports, and retry handling. AV1 support has also been added. Ongoing work focuses on backend stability, ffmpeg errors, subtitle imports, metadata handling, and playlist uploads. To track specific tasks, check the [[phab:tag/video2commons/|Phabricator board]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.3|MediaWiki]] '''Meetings and events''' * Save the date for the next Wikimedia Hackathon happening in Milan, Italy from May 1–3, 2026. Registration will open in January 2026. [https://pretix.eu/wikimedia/Hackathon-2026/ Scholarship applications are currently open], and will close on November 28, 2025. If you have any questions, please email <bdi lang="en" dir="ltr">hackathon@wikimedia.org</bdi>. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/47|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W47"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 17:26, 17 November 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29627455 --> == Tech News: 2025-48 == <section begin="technews-2025-W48"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/48|Translations]] are available. '''Updates for editors''' * Last week, the [[mw:Special:MyLanguage/Wikimedia Search Platform|Wikimedia Search Team]] recreated the "DWIM" (Do What I Mean) gadget functionality server-side, for Russian and Hebrew Wikipedias. This feature adds cross-keyboard suggestions to the standard search-box suggestions. For example, searching for ''<span lang="und" dir="ltr">cxfcnmt</span>'' on Russian Wikipedia will now add suggestions for ''<span lang="ru" dir="ltr">счастье</span>'' ("happiness") that the user probably intended. They plan to enable this feature for other Russian and Hebrew wikis this week. [https://phabricator.wikimedia.org/T408734] * Later this week, users of the "{{int:codemirror-beta-feature-title}}" [[Special:Preferences#mw-prefsection-betafeatures|beta feature]] will have syntax highlighting available in [[mw:Special:MyLanguage/Help:DiscussionTools|DiscussionTools]]. This requires that the "{{int:discussiontools-preference-sourcemodetoolbar}}" preference be set. [https://phabricator.wikimedia.org/T407918] * [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|Campaign events extension]] – the set of tools for coordinating events and other on-wiki collaborations has now been deployed to all Wikimedia wikis. A new feature known as [[m:Special:MyLanguage/CampaignEvents/Collaborative contributions|Collaborative contribution]] to help organizers and participants see the impact of activities has also been added. Join the upcoming [[m:Special:MyLanguage/Event:Connection learning session 3|learning session]] to see the new feature in action and share your feedback. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:24}} community-submitted {{PLURAL:24|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the bug which stopped CodeReviewBot from working, has now been fixed. [https://phabricator.wikimedia.org/T410417] '''Updates for technical contributors''' * Users of Wikimedia API can join a usability study to help validate the new design of Wikimedia REST API sandboxes. Interested participants should fill the [https://wikimediafoundation.limesurvey.net/487662 recruitment survey]. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/IREJRRWTZTGCYWQHDMSNJFTQAEPOOAE3/] * The MediaWiki Interfaces team is deprecating XSLT stylesheets within the Action API. Support for <code dir=ltr>format=xml'''&xlst={stylesheet}'''</code> will be removed from Wikimedia projects by the end of November, 2025. In addition, it will soon be disabled by default in MediaWiki release versions: v1.43 (LTS), v1.44, and v1.45. Support for XSLT stylesheets will be fully removed from MediaWiki v1.46 (expected to release between April and May 2026). [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/5AX7UWAVVUNUSBOIRHMNOKWOZ5EZI3JX/] * The WDQS legacy endpoint ([https://query-legacy-full.wikidata.org/ query-legacy-full.wikidata.org]) will be decommissioned at the end of December 2025, and finally closed down on 7th January 2026. After this date, users should expect requests to query.wikidata.org that require the full graph to fail or return invalid results if they are not rewritten to use SPARQL federation. The team encourages users to ensure that tools and workflows use the supported WDQS endpoints (<span dir=ltr><nowiki>https://query.wikidata.org/</nowiki></span> - Main graph or <span dir=ltr><nowiki>https://query-scholarly.wikidata.org/</nowiki></span> - Scholarly graph). For support with migrating use cases, please review the [[d:Special:MyLanguage/Wikidata:Data_access|Data Access]] and [[d:Wikidata:Request_a_query|Request a Query]] pages for details and assistance on alternative access methods. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.4|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/48|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W48"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 15:56, 24 November 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29702226 --> == Tech News: 2025-49 == <section begin="technews-2025-W49"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/49|Translations]] are available. '''Updates for editors''' * The Wikipedia Year in Review 2025 will be available on December 2 for users of iOS and Android Wikipedia apps, featuring new personalized insights, updated reading highlights, and refreshed designs. Learn more on the review's [[mw:Special:MyLanguage/Wikimedia Apps/Team/Wikipedia Year in Review/Updates|project page]]. * The Growth team is working on improving the text and presentation of the Verification Email sent to new users to make them more welcoming, useful and informative. Some new text have been drafted for A/B testing and you can help by translating them. See [[phab:T396155|Phabricator]]. * [[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]] will now be deployed at Japanese, Urdu and Chinese Wikipedias on December 2. Add a link is based on a prediction model that suggests links to be added to articles. While this feature has already been available on most Wikipedias, the prediction model could not support certain languages. A new model has now been developed to handle these languages, and it will be gradually rolled out to other Wikipedias over time. If you would like to know more, please contact [[mw:user:Trizek (WMF)|Trizek (WMF)]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:34}} community-submitted {{PLURAL:34|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where search boxes on some Commons pages showed no results due to switch from SpecialSearch to MediaSearch, has now been fixed. [https://phabricator.wikimedia.org/T399476] * Two new wikis have been created: ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q36846|Toki Pona]] ([[w:tok:|<code>w:tok:</code>]]) [https://phabricator.wikimedia.org/T404457] ** a {{int:project-localized-name-group-wikiquote}} in [[d:Q33655|Nigerian Pidgin]] ([[q:pcm:|<code>q:pcm:</code>]]) [https://phabricator.wikimedia.org/T408318] '''Updates for technical contributors''' * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.5|MediaWiki]] '''In depth''' * The Wikimedia Foundation is in the early stages of exploring approaches to '''Article guidance'''. The initiative aims to identify interventions that could help new editors easily understand and apply existing Wikipedia practices and policies when creating an article. The project is in the exploration and early experimental design phase. All community members are encouraged to [[mw:Special:MyLanguage/Article guidance|learn more]] about the project, and share their thoughts on [[mw:Special:MyLanguage/Talk:Article guidance|the talk page]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/49|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W49"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:57, 1 December 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29732328 --> == Tech News: 2025-50 == <section begin="technews-2025-W50"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/50|Translations]] are available. '''Weekly highlight''' * Anybody who wishes to secure their user account can now use [[m:Special:MyLanguage/Help:Two-factor authentication|two-factor authentication]] (2FA). This is available to all registered users of all Wikimedia projects. This is part of the [[mw:Special:MyLanguage/Product Safety and Integrity/Account Security|Account Security]] initiative. Later, 2FA will be required for all users who can take security- or privacy-sensitive actions. '''Updates for editors''' * Following last week's deployments, the [[mw:Special:MyLanguage/Help:Growth/Tools/Add a link|Add a link]] feature, which allows editors to add suggested links during editing, will be available to an additional [[Phab:T410469|33 Wikipedias]] starting on 9 December. This expansion is possible thanks to the new prediction model that now supports all languages, including those that were previously not covered. While the feature has been available on most Wikipedias for some time, this rollout brings us closer to using the improved model everywhere. If you have any questions or would like more details please contact [[mw:user:Trizek (WMF)|Trizek (WMF)]]. * Last week, the [[mw:Special:MyLanguage/Wikimedia Search Platform|Search Platform team]] added [[w:en:Transliteration|transliterated]] as-you-type search suggestions to Georgian wikis. If there are only a few regular search suggestions, then queries in Latin or Cyrillic script [[phab:T127003|are now rewritten into Georgian script]] to look for more matches. For example, searching for either <bdi lang="ka-Latn" dir="ltr">''bedniereba''</bdi> or <bdi lang="ka-Cyrl" dir="ltr">''бедниереба''</bdi> will now suggest the existing article about <bdi lang="ka" dir="ltr">ბედნიერება</bdi> ("happiness"). You can recommend other languages where transliterated suggestions would be useful [[phab:T375215|on Phabricator]] for future development. * Later this week, a controlled experiment will begin for editors on the 100 largest Wikipedias who are editing a section in the mobile web visual editor. 50% of these editors will notice a new "Edit full page" button that will enable them to expand their editing session to the whole page. This feature is intended to make it easier for people on mobile web to edit any article section, regardless of which section-edit icon they tapped to begin. The experiment will last ~4 weeks. You can find [[phab:T409112|more details]] about the project. * Later this week, the [[mw:Special:MyLanguage/Readers/Reader Growth|Reader Growth team]] will launch a [[mw:Special:MyLanguage/Readers/Reader Growth/WE3.1.14 Expanded Mobile Sections|mobile web experiment]] to expand all article sections by default (currently they are collapsed by default) and pin the section header the user is currently reading to the top of the page. The experiment will affect 10% of users on Arabic, Chinese, French, Indonesian, and Vietnamese Wikipedias. [https://phabricator.wikimedia.org/T409485] * The [[mw:Special:MyLanguage/Wikimedia Apps/Team/Wikipedia Year in Review/2025 Year in Review|Wikipedia Year in Review 2025]], a feature in the Wikipedia mobile apps (iOS and Android) that provides users with a personalised summary of their engagement with Wikipedia over the year, is now available on the iOS and Android apps. This edition includes expanded personalised insights, improved reading highlights, new donor messaging, and updated designs. Open the app to view your Year in Review and explore your reading journey from 2025. * A recent software bug caused edits made with VisualEditor to make unintended changes to wikitext, including removing whitespace and replacing spaces with underscores in wikilinks inside citations. This was partially fixed last week, and further fixes are in progress. Editors who used VisualEditor between November 28 and December 2 should review their edits for unexpected modifications. [https://phabricator.wikimedia.org/T411238] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the incorrect handling of URLs copied from the address bar of Microsoft Edge users, has been resolved. [https://phabricator.wikimedia.org/T341281] '''Updates for technical contributors''' * Starting this week, users of the "{{int:codemirror-beta-feature-title}}" [[Special:Preferences#mw-prefsection-betafeatures|beta feature]] will have [[mw:Special:MyLanguage/Help:Extension:CodeMirror|CodeMirror]] as the editor for Lua, JavaScript, CSS, JSON and Vue content models, instead of [[mw:Special:MyLanguage/Extension:CodeEditor|CodeEditor]]. With this, the [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Linting|linters]] will be upgraded. This is part of a larger effort to eventually replace CodeEditor and provide a consistent code editing experience. [https://phabricator.wikimedia.org/T373711] * Developers are encouraged to take the [https://wikimediafoundation.limesurvey.net/552643 2025 Developer Satisfaction Survey], which remains open until 5 January 2026. If you build software for the Wikimedia ecosystem and would like to share your experiences or feedback, your participation is greatly appreciated. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/W4WBKO6Q55UWWCCSFWQATKEXBEHP3QNR/] * There is no new MediaWiki version this week. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/50|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W50"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 17:45, 8 December 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29738112 --> == Tech News: 2025-51 == <section begin="technews-2025-W51"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/51|Translations]] are available. '''Updates for editors''' * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:18}} community-submitted {{PLURAL:18|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, one of the fixes addressed an issue for temporary accounts adding an external URL, which triggered an hCaptcha request in more cases than intended, and did not display the required popup on the first attempt to publish the edit. [https://phabricator.wikimedia.org/T411927] '''Updates for technical contributors''' * To improve database and site performance, external links to Wikimedia projects will no longer be stored in the database. This means they will not be searchable in [[{{#special:LinkSearch}}]], will not be checked by the Spam Blacklist or AbuseFilter as new links, and will not be in the <code dir=ltr>externallinks</code> table on database replicas. In the future this may be extended to other highly-linked trusted websites on a per-wiki basis, such as Creative Commons links on Wikimedia Commons. [https://phabricator.wikimedia.org/T405005] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.7|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/51|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W51"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:03, 15 December 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29796010 --> == Tech News: 2025-52 == <section begin="technews-2025-W52"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2025/52|Translations]] are available. '''Updates for editors''' * From January, edit filters [[mw:Special:MyLanguage/Extension:AbuseFilter/Access flags|can be set]] to automatically suppress their details such as rules and list of attempted edits and actions. This will help oversighters use edit filters to prevent doxxing or other suppressible material. [https://phabricator.wikimedia.org/T290324] * The next issue of Tech News will be sent out on 12 January 2026 because of the end of year holidays. Thank you to all of the translators, and people who submitted content or feedback, this year. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:16}} community-submitted {{PLURAL:16|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the crash that occurred when tapping "First Steps" in the Wikipedia Android Year in Review has now been fixed, and the feature opens as expected. [https://phabricator.wikimedia.org/T411546] '''Updates for technical contributors''' * Interface elements such as diffs and categories generated by MediaWiki used to have the attribute <code dir=ltr>data-mw="interface"</code> to distinguish from wiki content. The attribute has been replaced with <code dir=ltr>data-mw-interface=""</code>, to avoid potential conflicts with other <code dir=ltr>data-mw</code> attributes, which are generated by Parsoid. [https://phabricator.wikimedia.org/T409187] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] There is no new MediaWiki version this week or next week. '''Meetings and events''' * The [[mw:Wikimedia Hackathon Northwestern Europe 2026|Wikimedia Hackathon Northwestern Europe 2026]] will take place on 13-14 March 2026 in Arnhem, the Netherlands. Applications just opened mid-December and will close in mid-January or earlier if capacity is reached. With space for approximately 100 participants, early application is encouraged. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2025/52|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2025-W52"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:45, 22 December 2025 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29831856 --> == Tech News: 2026-03 == <section begin="technews-2026-W03"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/03|Translations]] are available. '''Weekly highlight''' * The Wikimedia Foundation has shared some guiding questions for the July 2026–June 2027 Annual Plan on [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2026-2027/Product & Technology OKRs|Meta]] and ''[[diffblog:2025/12/10/shaping-wikimedia-foundations-2026-2027-annual-goals-key-questions-for-the-wikimedia-movement/|Diff]]''. These focus on global trends, faster and healthier experimentation, better support for newcomers, strengthening editors and advanced users, improving collaboration across projects, and growing and retaining readership. Feedback and ideas are welcome on the [[m:Talk:Wikimedia Foundation Annual Plan/2026-2027|talk page]]. '''Updates for editors''' * As part of the current work of Community Tech team on the [[m:Special:MyLanguage/Community Wishlist/W372|Multiple watchlists]] project, the display of [[Special:EditWatchlist|EditWatchlist]] will be updated as a first step towards multiple watchlists. Additionally, the pagination on [[Special:Search|Search]] will be updated too, as a part of the work on the [[m:Special:MyLanguage/Community Wishlist/W186|Revamp pagination / page navigation]] wish. [https://phabricator.wikimedia.org/T411596] * [[m:Special:GlobalWatchlist|The Global Watchlist]] is a MediaWiki [[mw:Special:MyLanguage/Extension:GlobalWatchlist|extension]] that lets you see your watchlists from different wikis on the same page. It was recently updated to look more like the regular [[Special:Watchlist|Watchlist]], such as preparing it for temporary accounts in IP masking (including rerouting user links to contributions pages), making page titles bold, and opening links in edit summaries and tags in new browser tabs. [https://phabricator.wikimedia.org/T398361][https://phabricator.wikimedia.org/T298919][https://phabricator.wikimedia.org/T273526][https://phabricator.wikimedia.org/T286309] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where global blocks did not have the option to disable sending emails, has now been fixed, and will be available for use in the week of January 13. [https://phabricator.wikimedia.org/T401293] '''Updates for technical contributors''' * The [[mw:Special:MyLanguage/VisualEditor/Citation tool|VisualEditor citation tool]] and [[mw:Special:MyLanguage/Help:Reference Previews|Reference Previews]] now support "map" as a reference type. [https://phabricator.wikimedia.org/T411083] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.10|MediaWiki]]/[[mw:MediaWiki 1.46/wmf.11|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/03|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W03"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:33, 12 January 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29907192 --> == Tech News: 2026-04 == <section begin="technews-2026-W04"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/04|Translations]] are available. '''Updates for editors''' * The tray shown on [[Special:Diff|Special:Diff]] in mobile view has been redesigned. It is now collapsed by default, and incorporates a link to undo the edit being viewed, making it easier for mobile editors and reviewers to take action while keeping the interface uncluttered. [https://phabricator.wikimedia.org/T402297] * [[m:Special:GlobalWatchlist|The Global Watchlist]] lets you view your watchlists from multiple wikis on one page. The [[mw:Special:MyLanguage/Extension:GlobalWatchlist|extension]] continues to improve — it now automatically determines the text direction (ensuring correct display of sites with unusual domain names) and shows detailed descriptions for log actions. Later this week, a new permanent link for page creations and CSS classes for each entry element will be added. [https://phabricator.wikimedia.org/T412505][https://phabricator.wikimedia.org/T287929][https://phabricator.wikimedia.org/T262768][https://phabricator.wikimedia.org/T414135] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:32}} community-submitted {{PLURAL:32|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the previously observed issue in Vector 2022, where anchor link targets were obscured by the sticky header, has now been addressed. [https://phabricator.wikimedia.org/T406114] '''Updates for technical contributors''' * As mentioned in the [[m:Special:MyLanguage/Tech/News/2025/44|October 2025 deprecation announcement]], MediaWiki Interfaces team will begin sunsetting all transform endpoints containing a trailing slash from the MediaWiki REST API the week of January 26. Changes are expected to roll out to all wikis on or before January 30th. All API users currently calling them are encouraged to transition to the non-trailing slash versions. Both endpoint variations can be found, compared, and tested using the [https://test.wikipedia.org/wiki/Special:RestSandbox REST Sandbox]. If you have questions or encounter any problems, please file a ticket in Phabricator to the [https://phabricator.wikimedia.org/project/view/6931/ #MW-Interfaces-Team board]. * Interactive reference documentation for the [[mw:Special:MyLanguage/Wikimedia REST API|Wikimedia REST API]] has moved. Requests to API docs previously hosted through [[mw:Special:MyLanguage/RESTBase|RESTBase]] (e.g.: <code dir=ltr>https://en.wikipedia.org/api/rest_v1/</code>) are now redirected to the [[w:en:Special:RestSandbox|REST Sandbox]]. * The [[mw:Special:MyLanguage/Wikidata Platform|WMF Wikidata Platform team]] (WDP) has published its [[d:Special:MyLanguage/Wikidata:Wikidata Platform team/Newsletter|January 2026 newsletter]]. It includes updates on the legacy full-graph endpoint decommissioning, the User-Agent policy change, the monthly Blazegraph migration office hours, and efforts to reduce regressions caused by the legacy endpoint shutdown. As a reminder, you can [[m:Special:MyLanguage/Global message delivery/Targets/WDP team updates|subscribe to the WDP newsletter]]! * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.12|MediaWiki]] '''Meetings and events''' * The [[mw:Wikimedia Hackathon Northwestern Europe 2026|Wikimedia Hackathon Northwestern Europe 2026]] will take place on 13-14 March 2026 in Arnhem, the Netherlands. Applications opened mid-December and will close soon or when capacity is reached. It's a two-day, technically oriented hackathon bringing together Wikimedians from the region. Hope to see you there! '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/04|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W04"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:29, 19 January 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29943403 --> == Tech News: 2026-05 == <section begin="technews-2026-W05"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/05|Translations]] are available. '''Updates for editors''' * Wikimedia Foundation invites comments on [[m:Special:MyLanguage/Product and Technology Advisory Council/Year1 Reflections and Proposed Way Forward 2026 Update|proposed future]] of the [[:m:Special:MyLanguage/Product and Technology Advisory Council|Product and Technology Advisory Council]] until 28 February. * All users with registered accounts can now use passkeys for [[m:Special:MyLanguage/Help:Two-factor authentication|two-factor authentication]] (2FA). Passkeys are a simple way to log in without using a second device. They verify the user's identity using a fingerprint, face scan, or a PIN code. To set up a passkey, first set up a regular 2FA method. Currently, to log in with a passkey, users must also use a password. Later this quarter, passwordless login will allow users to log in with a single click and a passkey. Users with advanced rights will also be required to have 2FA enabled. This is part of the [[mw:Special:MyLanguage/Product Safety and Integrity/Account Security|Account Security]] project. * Unregistered contributors on blocked IPs or blocked IP ranges can now interact on-wiki to appeal a block by creating a temporary account to appeal a block on the user talk page, unless the "prevent this user from editing their own talk page" is enabled. This solves the problem of logged-out users unable to use the default unblock process via user talk page. [https://phabricator.wikimedia.org/T398673] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:20}} community-submitted {{PLURAL:20|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the Two-Factor Authentication (2FA) methods description on the management page has been updated. It is now clearer and easier for users to understand and make use of. [https://phabricator.wikimedia.org/T332385] '''Updates for technical contributors''' * A new AbuseFilter variable, <code>account_type</code>, has been added to provide a reliable way to determine the account type being created in the <code>createaccount</code> and <code>autocreateaccount</code> actions. As part of this change, the variable <code>accountname</code> has been renamed to <code>account_name</code>, and <code>accountname</code> is now deprecated. Edit filter managers should update any filters that use hardcoded account type checks or the deprecated variable. [https://phabricator.wikimedia.org/T414049] * Image thumbnails that are requested in non-standard sizes, and using non-standard methods such as direct requests to <code dir=ltr><nowiki>upload.wikimedia.org/…</nowiki></code> will stop working in the near future. This change is to prevent ongoing external abuse by web-scrapers and bots. Some users with custom CSS/JS, Interface Admins who can fix gadgets and local skins, and Tool-authors, will need to update their code to use standard thumbnail sizes. [[phab:T414805|Details, search-links, and examples of how to fix them, are available in the task]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.13|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/05|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W05"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:17, 26 January 2026 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=29969530 --> == Tech News: 2026-06 == <section begin="technews-2026-W06"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/06|Translations]] are available. '''Updates for editors''' * The "{{int:pageinfo-toolboxlink}}" feature, which gives validating information about a page ([{{fullurl:{{FULLPAGENAME}}|action=info}} example]), now automatically includes a table of contents. If there is a local [[{{ns:8}}:Pageinfo-header]] page created by individual users, it can now be removed. [https://phabricator.wikimedia.org/T363726] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:21}} community-submitted {{PLURAL:21|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, VisualEditor previously added bold or italic formatting inside link descriptions, making the wikicode complex. This has now been fixed. [https://phabricator.wikimedia.org/T409669] '''Updates for technical contributors''' * There was no XML dump on 20 January. Additionally, from now on, dumps will be generated once per month only. [https://phabricator.wikimedia.org/T414389] * The MediaWiki Interfaces team removed support for all transform endpoints containing a trailing slash from the [https://www.mediawiki.org/wiki/Special:MyLanguage/API:REST%20API MediaWiki REST API]. All API users currently calling those endpoints are encouraged to transition to the non-trailing slash versions. If you have questions or encounter any problems, please file a ticket in phabricator to the [https://phabricator.wikimedia.org/project/view/6931/ #MW-Interfaces-Team board]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.14|MediaWiki]] '''Weekly highlight''' * Users are reminded that the Wikimedia Foundation has shared some guiding questions for the July 2026–June 2027 Annual Plan on [[m:Special:MyLanguage/Wikimedia Foundation Annual Plan/2026-2027/Product & Technology OKRs|Meta]] and ''[[diffblog:2025/12/10/shaping-wikimedia-foundations-2026-2027-annual-goals-key-questions-for-the-wikimedia-movement/|Diff]]''. These focus on global trends, faster and healthier experimentation, better support for newcomers, strengthening editors and advanced users, improving collaboration across projects, and growing and retaining readership. Feedback and ideas are welcome on the [[m:Talk:Wikimedia Foundation Annual Plan/2026-2027|talk page]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/06|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W06"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 17:43, 2 February 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30000986 --> == Tech News: 2026-07 == <section begin="technews-2026-W07"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/07|Translations]] are available. '''Updates for editors''' * [[File:Maki-gift-15.svg|12px|link=|class=skin-invert|Wishlist item]] Logged-in contributors who manage large or complex watchlists can now organise and filter watched pages in ways that improve their workflows with the new [[mw:Special:MyLanguage/Help:Watchlist labels|Watchlist labels]] feature. By adding custom labels (for example: pages you created, pages being monitored for vandalism, or discussion pages) users can more quickly identify what needs attention, reduce cognitive load, and respond more efficiently. This improves watchlist usability, especially for highly active editors. * A new feature available on [[Special:Contributions|Special:Contributions]] shows [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts|temporary accounts]] that are likely operated by the same person, and so makes patrolling less time-consuming. Upon checking contributions of a temporary account, users with access to temporary account IP addresses can now see a view of contributions from the related temporary accounts. The feature looks up all the IPs associated with a given temporary account within the data retention period and shows all the contributions of all temporary accounts that have used these IPs. [[mw:Special:MyLanguage/Trust and Safety Product/Temporary Accounts#February 2026: Improvements to the patroller tooling|Learn more]]. [https://phabricator.wikimedia.org/T415674] * When editors preview a wikitext edit, the reminder box that they are only seeing a preview (which is shown at the top), now has a grey/neutral background instead of a yellow/warning background. This makes it easier to distinguish preview notes from actual warnings (for example, edit conflicts or problematic redirect targets), which will now be shown in separate warning or error boxes. [https://phabricator.wikimedia.org/T414742] * The [[m:Special:GlobalWatchlist|Global Watchlist]] lets you view your watchlists from multiple wikis on one page. The [[mw:Special:MyLanguage/Extension:GlobalWatchlist|extension]] continues to improve — it now properly supports more than one Wikibase site, for example both [[d:|Wikidata]] and [[testwikidata:|testwikidata]]. In addition, issues regarding text direction have been fixed for users who prefer Wikidata or other Wikibase sites in right-to-left (RTL) languages. [https://phabricator.wikimedia.org/T415440][https://phabricator.wikimedia.org/T415458] * The automatic "magic links" for ISBN, RFC, and PMID numbers have been [[mw:Special:MyLanguage/Help:Magic links|deprecated in wikitext since 2021]] due to inflexibility and difficulties with localization. Several wikis have successfully replaced RFC and PMID magic links with equivalent external links, but a template was often required to replace the functionality of the ISBN magic link. There is now a new [[mw:Special:MyLanguage/Help:Magic words#isbn|built-in parser function]] <code dir=ltr><nowiki>{{#isbn}}</nowiki></code> available to replace the basic functionality of the ISBN magic link. This makes it easier for wikis who wish to migrate off of the deprecated magic link functionality to do so. [https://phabricator.wikimedia.org/T145604] * Two new wikis have been created: ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q35401|Jju]] ([[w:kaj:|<code>w:kaj:</code>]]) [https://phabricator.wikimedia.org/T413283] ** a {{int:project-localized-name-group-wikipedia}} in [[d:Q1186896|Nawat]] ([[w:ppl:|<code>w:ppl:</code>]]) [https://phabricator.wikimedia.org/T413273] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * A new global user group has been created: [[{{int:grouppage-local-bot}}|{{int:group-local-bot}}]]. It will be used internally by the software to allow community bots to bypass rate limits that are applied to abusive [[w:en:Web scraping|web scrapers]]. Accounts that are approved as bots on at least one Wikimedia wiki will be automatically added to this group. It will not change what user permissions the bot has. [https://phabricator.wikimedia.org/T415588] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.15|MediaWiki]] '''Meetings and events''' * The [[mw:Special:MyLanguage/MediaWiki Users and Developers Conference Spring 2026|MediaWiki Users and Developers Conference, Spring 2026]] will be held March 25–27 in Salt Lake City, USA. This event is organized by and for the third-party MediaWiki community. You can propose sessions and register to attend. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/AZBWVI46SDEB65PGR5J6E4TYOQQEZXM7/] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/07|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W07"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 23:30, 9 February 2026 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30026671 --> == Tech News: 2026-08 == <section begin="technews-2026-W08"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/08|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Wikimedia Site Reliability Engineering|SRE Team]] will be performing a cleanup of Wikimedia's [[m:Special:MyLanguage/Etherpad|Etherpad]] instance, the web-based editor for real-time collaborative document editing. All pads will be permanently deleted after 30 April, 2026 – if there are still migration projects in progress at that point the team can revisit the date on a case by case basis. Please create local backups of any content you wish to keep, as deleted data cannot be recovered. This cleanup helps reduce database size and minimize infrastructure footprint. Etherpad will continue to support real-time collaboration, but long-term storage should not be expected. Additional cleanups may occur in the future without prior notice. [https://phabricator.wikimedia.org/T415237] '''Updates for editors''' * The Information Retrieval team will be launching an [[mw:Special:MyLanguage/Readers/Information Retrieval/Phase 1|Android mobile app experiment]] that tests hybrid search capabilities which can handle both semantic and keyword queries. The improvement of on-platform search will enable readers to find what they’re looking for directly on Wikipedia more easily. The experiment will first be launched on Greek Wikipedia in late February, followed by English, French, and Portuguese in March. [https://diff.wikimedia.org/2026/01/08/semantic-search-making-it-easier-to-find-the-information-readers-want/ Read more] on Diff blog. [https://www.mediawiki.org/wiki/Readers/Information_Retrieval] * The Reader Growth team will run [[mw:Special:MyLanguage/Readers/Reader Growth/WE3.10.2 Mobile Table of Contents|an experiment]] for mobile web users, that adds a table of contents and automatically expands all article sections, to learn more about navigation issues they face. The test will be available on Arabic, Chinese, English, French, Indonesian, and Vietnamese Wikipedias. * Previously, site notices ([[{{ns:8}}:Sitenotice]] and [[{{ns:8}}:Anonnotice]]) would only render on the desktop site. Now, they will render on all platforms. Users on mobile web will now see these notices and be informed. Site administrators should be prepared to test and fix notices on mobile devices to avoid interference with articles. To opt out, interface admins can add <code dir="ltr">#siteNotice { display: none; }</code> to [[{{ns:8}}:Minerva.css]]. [https://phabricator.wikimedia.org/T138572][https://phabricator.wikimedia.org/T416644] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:19}} community-submitted {{PLURAL:19|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue on [[Special:RecentChanges|Special:RecentChanges]] has been fixed. Previously, clicking hide in the active filters caused the "view new changes since…" button to disappear, though it should have remained visible. The button now behaves as expected. [https://phabricator.wikimedia.org/T406339] '''Updates for technical contributors''' * New documentation is now available to help editors debug on-site search features. It supports troubleshooting when pages do not appear in results, when ranking seems unexpected, and when you need to inspect what content is being indexed, helping make search behavior easier to understand and analyze. [[mw:Help:CirrusSearch/Debug|Learn more]]. [https://phabricator.wikimedia.org/T411169] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.16|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/08|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W08"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:17, 16 February 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30086330 --> == Tech News: 2026-09 == <section begin="technews-2026-W09"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/09|Translations]] are available. '''Weekly highlight''' * [[mw:Special:MyLanguage/Edit check/Reference Check|Reference Check]] has been deployed to English Wikipedia, completing its rollout across all Wikipedias. The feature prompts newcomers to add a citation before publishing new content, helping reduce common citation-related reverts and improve verifiability. In A/B testing, the impact was substantial: newcomers shown Reference Check were approximately 2.2 times more likely to include a reference on desktop and about 17.5 times more likely on mobile web. [https://analytics.wikimedia.org/published/reports/editing/reference_check_ab_test_report_final_2025.html] '''Updates for editors''' * The [[mw:Special:MyLanguage/Extension:InterwikiSorting|InterwikiSorting extension]], which allowed for the [[m:Special:MyLanguage/Interwiki sorting order|sorting of interwiki links]], has been undeployed from Wikipedia. As a result, editors who had enabled interwiki link sorting in non-compact mode (full list format) will now see links reordered. The links moving forward will be listed in the alphabetical order of language code. [https://phabricator.wikimedia.org/T253764] * Later this week, people who are editing a page-section using the mobile visual editor, will notice a new "Edit full page" button. When tapped, you will be able to edit the entire article. This helps when the change you want to make is outside the section you initially opened. [https://phabricator.wikimedia.org/T387175][https://phabricator.wikimedia.org/T409112] * [[mw:Special:MyLanguage/Readers/Reader Experience|The Reader Experience team]] is inviting editors to assess whether dark mode should still be considered "beta" on their wiki, based on their experience of how well it functions on desktop and mobile. If the feature is deemed mature, editors can update the interface messages in <code dir=ltr>MediaWiki:skin-theme-description</code> and <code dir=ltr>MediaWiki:Vector-night-mode-beta-tag</code> to indicate that dark mode is ready and no longer considered beta. * The improved [[mw:Wikimedia_Apps/Team/iOS/Activity_Tab|Activity tab]] which displays user-insights is now available to all users of the Wikipedia iOS app (version 7.9.0 and later). Following earlier A/B testing that showed higher account creation among users with access to the feature, it has been rolled out to 100% of users along with some updates. The Activity tab now shows your edited articles in the timeline, offers editing impact insights like contribution counts and article view trends, and customization options to improve in-app experience for users. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:21}} community-submitted {{PLURAL:21|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, a bug that prevented [[mw:Special:MyLanguage/Extension:DiscussionTools|DiscussionTools]] from working on mobile has now been fixed, restoring full functionality. [https://phabricator.wikimedia.org/T415303] '''Updates for technical contributors''' * The [[m:Special:GlobalWatchlist|Global Watchlist]] lets you view your watchlists from multiple wikis on one page. The [[mw:Special:MyLanguage/Extension:GlobalWatchlist|extension]] that makes this possible continues to improve. The latest upgrade is the inclusion of a [[mw:Extension:GlobalWatchlist#hook|new hook]], <code dir=ltr>ext.globalwatchlist.rebuild</code>, which fires after each watchlist rebuild. This allows you to run gadgets and user scripts for the Special page. [https://phabricator.wikimedia.org/T275159] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.17|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/09|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W09"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:03, 23 February 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30119102 --> == Tech News: 2026-10 == <section begin="technews-2026-W10"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/10|Translations]] are available. '''Weekly highlight''' * Wikipedia 25 [[m:Special:MyLanguage/Wikipedia 25/Easter egg experiments|Birthday mode]] is now live on Betawi, Breton, Chinese, Czech, Dutch, English, French, Gorontalo, Indonesian, Italian, Luxembourgish, Madurese, Sicilian, Spanish, Thai, and Vietnamese Wikipedias! This limited-time campaign feature celebrates 25 years of Wikipedia with a birthday mascot, Baby Globe. When turned on, Baby Globe is shown on [[m:Special:MyLanguage/Wikipedia 25/Easter egg experiments/article configuration|~2,500 articles]], waiting to be discovered by readers. Communities can choose to turn Birthday mode on by getting consensus from their community and asking an admin to enable the feature and customize it via [[m:Special:MyLanguage/Wikipedia 25/Easter egg experiments#Community Configuration Demo|community configuration]] on the local wiki. '''Updates for editors''' * [[:m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|Sub-referencing]], a new feature to re-use references with different details has been released to Swedish Wikipedia, Polish Wikipedia and [[:phab:T418209|a couple of other wikis]]. You can [[:m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing#test|try the feature]] on these projects or on testwiki and [https://en.wikipedia.beta.wmcloud.org/wiki/Sub-referencing betawiki]. Learnings from the first pilot wiki German Wikipedia have been [[:m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing/Learnings|published in a report]]. Reach out to the Wikimedia Deutschland team if you are [[:m:Talk:WMDE Technical Wishes/Sub-referencing#Pilot wikis|interested in becoming a pilot wiki]]. * [[mw:Special:MyLanguage/Help:Edit check#Paste check|Paste Check]] will become available at all Wikipedias this week. The feature prompts newcomers who are pasting text they are not likely to have written into VisualEditor to consider whether doing so risks a copyright violation. Paste Check [[mw:Special:MyLanguage/Edit check/Tags|tags]] all edits where it is shown for potential review. Local administrators can configure various aspects of the feature via [[{{#special:EditChecks}}]]. [[mw:Special:MyLanguage/Edit check/Paste Check#A/B Experiment|Research]] across 22 wikis found that Paste Check resulted in an 18% decrease in relative reverted-edits compared to the control group. Translators can [https://translatewiki.net/w/i.php?title=Special%3ATranslate&group=ext-visualeditor-ve-mw-editcheck&filter=&optional=1&action=translate help to localize] this and related features. * The [[mw:Special:MyLanguage/Readers/Reader Experience|Reader Experience team]] will be standardizing the user menu in the top right for all mobile users so that it is closer to the desktop experience. Currently this user menu is only visible to users with Advanced Mobile Controls (AMC) turned on. The only change is that a couple buttons previously in the left-side menu will move to the top right for users who do not have AMC turned on. This change is expected to go out March 9 and seeks to improve the user interface. [https://phabricator.wikimedia.org/T413912] * Starting in the week of March 2, the emails sent out when an email address was added, removed, or changed for an account will switch to a substantially nicer and clearer HTML email from the prior plaintext one. [https://phabricator.wikimedia.org/T410807] * Notifications are currently limited to 2,000 historic entries per user, and extend back to 2013 when the feature was released. This is going to be changed to only store Notifications from the last 5 years, but up to 10,000 of them. This will help with long-term infrastructure health and help to prevent more recent notifications from disappearing too soon. [https://phabricator.wikimedia.org/T383948] * The [[m:Special:GlobalWatchlist|Global Watchlist]] which lets you view your watchlists from multiple wikis on a single page continues to see improvements. The latest update improves label usage experience. The [[mw:Special:MyLanguage/Extension:GlobalWatchlist|extension]] now allows activating the [[mw:Special:MyLanguage/Manual:Language#Fallback languages|language fallback system]] for Wikidata items without labels in the viewed language, and showing those labels in the user’s preferred Wikidata language if no <code dir=ltr>uselang=</code> URL parameter is provided. [https://phabricator.wikimedia.org/T373686][https://phabricator.wikimedia.org/T416111] * The Wikipedia Android team has started a beta test of [[mw:Special:MyLanguage/Readers/Information Retrieval/Phase 1|hybrid search]] on Greek Wikipedia. Hybrid search capabilities can handle both semantic and keyword queries enabling readers to find what they’re looking for directly on Wikipedia more easily. * For security reasons, members of certain user groups are [[m:Special:MyLanguage/Mandatory two-factor authentication for users with some extended rights|required to have two-factor authentication]] (2FA) enabled. Currently, 2FA is required to use the group, but not to be a member of it. Given that this model still has some vulnerabilities, the situation will [[phab:T418580|gradually change in March]]. Members of these groups will be unable to disable last 2FA method on their account, and it will be impossible to add users without 2FA to these groups. Users will still be able to add new authentication methods or remove them, as long as at least one method is continuously enabled. In the second half of March, users without 2FA will be removed from these groups. This applies to: CentralNotice administrators, checkusers, interface administrators, suppressors, Wikidata staff, Wikifunctions staff, WMF Office IT and WMF Trust & Safety. Nothing will change for other users. See the linked task for deployment schedule. [https://phabricator.wikimedia.org/T418580] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue preventing users from creating an instance in [https://www.wikibase.cloud/ Wikibase.cloud] has now been fixed. [https://phabricator.wikimedia.org/T416807] '''Updates for technical contributors''' * To help ensure [[mw:Special:MyLanguage/MediaWiki Product Insights/Responsible Reuse|fair use of infrastructure]], over the next month the Wikimedia Foundation will implement global API rate limits across our APIs. In early March, stricter limits will be applied to unidentified requests from outside Toolforge/WMCS and API requests that are made from web browsers. In April, higher limits will be applied to identified traffic. These limits are intentionally set as high as possible to minimise impact on the community. Bots running in Toolforge/WMCS or with the bot user right on any wiki should not be affected for now. However, all developers are advised to follow updated best practices. For more information, see [[mw:Special:MyLanguage/Wikimedia APIs/Rate limits|Wikimedia APIs/Rate limits]]. * The Wikidata Query Service Linked Data Fragment (LDF) endpoint will be decommissioned in February. This endpoint served limited traffic, which was successfully migrated to other data access methods that were better suited to support existing use cases. The hardware used to support the LDF endpoint will be reallocated to support the ongoing backend migration efforts. [https://phabricator.wikimedia.org/T415696] * The new Parsoid parser [[mw:Special:MyLanguage/Parsoid/Parser Unification/Updates|continues to be deployed to additional wikis]], improving platform sustainability and making it easier to introduce new reading and editing features. Parsoid is now the default parser on 488 WMF wikis (268 Wikipedias), now covering more than 10% of all Wikipedia page views. * The process and criteria for [[Special:MyLanguage/Wikimedia Enterprise#Access|requesting exceptional access]] to the high volume feed of the ''Wikimedia Enterprise'' APIs (at no cost for mission-aligned usecases), [[m:Talk:Wikimedia Enterprise#Exceptional access criteria|have now been published]]. This is to provide more thorough and clearer documentation for users. * [https://techblog.wikimedia.org/ Tech Blog], the blog dedicated to the Wikimedia technical community [https://techblog.wikimedia.org/2026/02/24/a-tech-blog-diff/ will be migrating] to [[diffblog:|Diff]], the community news and event blog. The migration should be complete in April 2026, after which new posts will be accepted for publishing. Readers will be able to access posts – old and new – on the landing page at https://diff.wikimedia.org/techblog. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.18|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/10|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W10"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 17:51, 2 March 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30137798 --> == Tech News: 2026-11 == <section begin="technews-2026-W11"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/11|Translations]] are available. '''Weekly highlight''' * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on Wednesday, 25 March 2026 at [https://zonestamp.toolforge.org/1774450800 15:00 UTC]. This is for the datacenter server switchover backup tests, [[wikitech:Deployments/Yearly calendar|which happen twice a year]]. During the switchover, all Wikimedia website traffic is shifted from one primary data center to the backup data center to test availability and prevent service disruption even in emergencies. * Last week, all wikis had 2 hours of read-only time, and extended unavailability for user-scripts and gadgets. This was due to a security incident which has since been resolved. Work is ongoing to prevent re-occurrences. For current information please see the [[m:Steward's noticeboard#Statement on Meta about today's user script security incident|post on the Stewards' noticeboard]] ([[m:Special:MyLanguage/Wikimedia Foundation/Product and Technology/Product Safety and Integrity/March 2026 User Script Incident|translations]]). '''Updates for editors''' * Users facing multiple blocks on mobile will now see the reasons for each block separately, instead of a generic message. This helps them understand why they are blocked and what steps they can take to resolve the issue. For example, users affected for using common VPNs (such as [[Special:MyLanguage/Apple iCloud Private Relay|iCloud Private Relay]]) will receive clearer guidance on what they need to do to start editing again. [https://phabricator.wikimedia.org/T357118] * Later this week, [[mw:Special:MyLanguage/VisualEditor/Suggestion Mode|Suggestion Mode]] will become available as a beta feature within the visual editor at all Wikipedias. This feature proactively suggests various types of actions that people can consider taking to improve Wikipedia articles, and learn about related guidelines. The feature is locally configurable, and can also be locally expanded with custom Suggestions. Current settings can be seen at [[Special:EditChecks]] and there are [[mw:Special:MyLanguage/Help:Suggestion mode#For administrators %E2%80%93 local customization|instructions for how administrators can customize]] the links to point to local guidelines. The feature is connected to [[mw:Special:MyLanguage/Help:Edit check|Edit check]] which suggests improvements while someone is writing new content. In the future, the Editing team plans to evaluate the feature's impact with newcomers through a controlled experiment. [https://phabricator.wikimedia.org/T404600] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where the cursor became misaligned during the use of CodeMirror’s syntax highlighting, which makes wikitext and code easier to read, has now been fixed. This problem specifically affected users who defined a font rule in a custom stylesheet while creating a new topic with DiscussionTools. [https://phabricator.wikimedia.org/T418793] '''Updates for technical contributors''' * API rate limiting update: To help ensure [[mw:Special:MyLanguage/MediaWiki Product Insights/Responsible Reuse|fair use of infrastructure]], global API rate limits will be applied this week to requests without a compliant User-Agent that originate from outside Toolforge/WMCS and to unauthenticated requests made from web browsers. Higher limits will be applied to identified traffic in April. Bots running in Toolforge/WMCS or with the bot user right on any wiki should not be affected for now. However, all developers are advised to follow updated best practices. For more information, see [[mw:Special:MyLanguage/Wikimedia APIs/Rate limits|Wikimedia APIs/Rate limits]]. * The new GraphQL API has been released. The API was developed as a flexible alternative to select features of the Wikidata Query Service (WDQS), to improve developer experience and foster adaptability, and efficient data access. Try it out and [[d:Wikidata:Wikibase GraphQL#Feedback and development|give feedback]]. You can also [https://greatquestion.co/wikimediadeutschland/GraphQLAPI/apply sign up for usability tests]. * The [[m:Special:MyLanguage/Product and Technology Advisory Council/Unsupported Tools Working Group|PTAC Unsupported Tools Working Group]] continued improvements to [[commons:Special:MyLanguage/Commons:Video2commons#|Video2Commons]] in February, with fixes addressing authentication errors, large-file handling, task queue visibility, and clearer upload behavior. Work is still ongoing in some areas, including changes related to deprecated server-side uploads. Read [[m:Special:MyLanguage/Product and Technology Advisory Council/Unsupported Tools Working Group#February 2026|this update]] to learn more. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.19|MediaWiki]] '''In depth''' * The Article Guidance team invites experienced Wikipedia editors from selected [[mw:Special:MyLanguage/Article guidance/Pilot wikis and collaborators#Collaborators|pilot wikis]] and interested contributors from other Wikipedias to fill out this questionnaire which is available in [https://docs.google.com/forms/d/e/1FAIpQLSfmLeVWnxmsCbPoI_UF2jyRcn73WRGWCVPHzerXb4Cz97X_Ag/viewform English], [https://docs.google.com/forms/d/e/1FAIpQLSd6rzr4XXQw8r4024fE3geTPFe13M_6w7Mitj-YJi0sOlWTAw/viewform?usp=header Arabic], [https://docs.google.com/forms/d/e/1FAIpQLSdok3-RfB18lcugYTUMGkpwmqG_8p760Wv4dCXitOXOszjUDw/viewform?usp=header Bengali], [https://docs.google.com/forms/d/e/1FAIpQLSfjTfYp4jEo0akA4B1e-Nfg3QZPCudUjhJzHzzDi6AHyAaMGA/viewform?usp=header Japanese], [https://docs.google.com/forms/d/e/1FAIpQLScteVoI29Aue4xc72dekk-6RYtvmMgQxzMI900UOawrFrSTWg/viewform?usp=header Portuguese], [https://docs.google.com/forms/d/e/1FAIpQLSetdxnYwL3ub2vqA7awCg5hJZPMIYcDPaiTe12rY9h0GYnVlw/viewform?usp=header Persian], and [https://docs.google.com/forms/d/e/1FAIpQLScNvfJF-Ot-4pzA4qAN771_0QDJ4Li19YcUsaTgSKW8Nc7U_Q/viewform?usp=header Turkish]. Your answers will help the team customize guidance for less experienced editors and help them learn community policies and practices while creating an article. Learn more [[mw:Special:MyLanguage/Article guidance|on the project page]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/11|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W11"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:53, 9 March 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30213008 --> == Tech News: 2026-12 == <section begin="technews-2026-W12"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/12|Translations]] are available. '''Updates for editors''' * The [[mw:Special:MyLanguage/Help:Extension:CodeMirror|{{int:codemirror-beta-feature-title}}]] beta feature, also known as [[mw:Special:MyLanguage/Extension:CodeMirror|CodeMirror 6]], has been used for wikitext syntax highlighting since November 2024. It will be promoted out of beta by May 2026 in order to bring improvements and new [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Features|features]] to all editors who use the standard syntax highlighter. If you have any questions or concerns about promoting the feature out of beta, [[mw:Special:MyLanguage/Help talk:Extension:CodeMirror|please share]]. [https://phabricator.wikimedia.org/T259059] * Some changes to local user groups are performed by stewards on Meta-Wiki and logged there only. Now, interwiki rights changes will be logged both on Meta-Wiki and the wiki of the target user to make it easier to access a full record of user's rights changes on a local wiki. Past log entries for such changes will be backfilled in the coming weeks. [https://phabricator.wikimedia.org/T6055] * On wikis using [[m:Special:MyLanguage/Flagged Revisions|Flagged Revisions]], the number of pending changes shown on [[{{#Special:PendingChanges}}]] previously counted pages which were no longer pending review, because they have been removed from the system without being reviewed, e.g. due to being deleted, moved to a different namespace, or due to wiki configuration changes. The count will be correct now. On some wikis the number shown will be much smaller than before. There should be no change to the list of pages itself. [https://phabricator.wikimedia.org/T413016] * Wikifunctions composition language has been rewritten, resulting in a new version of the language. This change aims to increase service stability by reducing the orchestrator's memory consumption. This rewrite also enables substantial latency reduction, code simplification, and better abstractions, which will open the door to later feature additions. Read more about [[f:Special:MyLanguage/Wikifunctions:Status updates/2026-03-11|the changes]]. * Users can now sort search results alphabetically by page title. The update gives an additional option to finding pages more easily and quickly. Previously, results could be sorted by Edit date, Creation date, or Relevance. To use the new option, open 'Advanced Search' on the search results page and select 'Alphabetically' under 'Sorting Order'. [https://phabricator.wikimedia.org/T403775] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the bug that prevented UploadWizard on Wikimedia Commons from importing files from Flickr has now been fixed. [https://phabricator.wikimedia.org/T419263] '''Updates for technical contributors''' * A new special page, [[{{#special:LintTemplateErrors}}]], has been created to list transcluded pages that are flagged as containing lint errors to help users discover them easily. The list is sorted by the number of transclusions with errors. For example: [[{{#special:LintTemplateErrors}}/night-mode-unaware-background-color]]. [https://phabricator.wikimedia.org/T170874] * Users of the [[mw:Special:MyLanguage/Help:Extension:CodeMirror|{{int:codemirror-beta-feature-title}}]] beta feature have been using [[mw:Special:MyLanguage/Extension:CodeMirror|CodeMirror]] instead of [[mw:Special:MyLanguage/Extension:CodeEditor|CodeEditor]] for syntax highlighting when editing JavaScript, CSS, JSON, Vue and Lua content pages, for some time now. Along with promoting CodeMirror 6 out of beta, the plan is to replace CodeEditor as the standard editor for these content models by May 2026. [[mw:Special:MyLanguage/Help talk:Extension:CodeMirror|Feedback or concerns are welcome]]. [https://phabricator.wikimedia.org/T419332] * The [[mw:Special:MyLanguage/Extension:CodeMirror|CodeMirror]] JavaScript modules will soon be upgraded to CodeMirror 6. Leading up to the upgrade, loading the <code dir=ltr>ext.CodeMirror</code> or <code dir=ltr>ext.CodeMirror.lib</code> modules from gadgets and user scripts was deprecated in July 2025. The use of the <code dir=ltr>ext.CodeMirror.switch</code> hook was also deprecated in March 2025. Contributors can now make their scripts or gadgets compatible with CodeMirror 6. See the [[mw:Special:MyLanguage/Extension:CodeMirror#Gadgets and user scripts|migration guide]] for more information. [https://phabricator.wikimedia.org/T373720] * The MediaWiki Interfaces team is expanding coverage of REST API module definitions to include [[mw:Special:MyLanguage/API:REST API/Extensions|extension APIs]]. REST API modules are groups of related endpoints that can be independently managed and versioned. Modules now exist for [https://phabricator.wikimedia.org/T414470 GrowthExperiments] and [https://phabricator.wikimedia.org/T419053 Wikifunctions] APIs. As we migrate extension APIs to this structure, documentation will move out of the main MediaWiki OpenAPI spec and REST Sandbox view, and will instead be accessible via module-specific options in the dropdown on the [https://test.wikipedia.org/wiki/Special:RestSandbox REST Sandbox] (i.e., [[{{#Special:RestSandbox}}]], available on all wiki projects). * The [[mw:Special:MyLanguage/Extension:Scribunto|Scribunto]] extension provides different pieces of information about the wiki where the module is being used via the [[mw:Special:MyLanguage/Extension:Scribunto/Lua reference manual|mw.site]] library. Starting last week, the library also provides a [[mw:Special:MyLanguage/Extension:Scribunto/Lua reference manual#mw.site.wikiId|way]] of accessing the [[mw:Special:MyLanguage/Manual:Wiki ID|wiki ID]] that can be used to facilitate cross-wiki module maintenance. [https://phabricator.wikimedia.org/T146616] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.20|MediaWiki]] '''In depth''' * The [[m:Special:MyLanguage/Coolest Tool Award|2026 Coolest Tool Award]] celebrating outstanding community tools, is now open for nominations! Nominate your favorite tool using the [https://wikimediafoundation.limesurvey.net/435684?lang=en nomination survey] form by 23 March 2026. For more information on privacy and data handling, please see the [[foundation:Special:MyLanguage/Legal:Coolest_Tool_Award_2026_Survey_Privacy_Statement|survey privacy statement]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/12|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W12"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:35, 16 March 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30260505 --> == Tech News: 2026-13 == <section begin="technews-2026-W13"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/13|Translations]] are available. '''Weekly highlight''' * Wikimedia site users can now log in without a password using passkeys. This is a secure method supported by fingerprint, facial recognition, or PIN. With this change, all users who opt for passwordless login will find it easier, faster, and more secure to log in to their accounts using any device. The new passkey login option currently appears as an autofill suggestion in the username field. An additional [[phab:T417120|"Log in with passkey" button]] will soon be available for users who have already registered a passkey. This update will improve security and user experience. The [[c:File:Passwordless_login_screencast.webm|screen recording]] demonstrates the passwordless login process step by step. * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on Wednesday, 25 March 2026 at [https://zonestamp.toolforge.org/1774450800 15:00 UTC]. This is for the datacenter server switchover backup tests, [[wikitech:Deployments/Yearly calendar|which happen twice a year]]. During the switchover, all Wikimedia website traffic is shifted from one primary data center to the backup data center to test availability and prevent service disruption even in emergencies. '''Updates for editors''' * Wikimedia site users can now export their notifications older than 5 years using a [[toolforge:echo-chamber|new Toolforge tool]]. This will ensure that users retain their important notifications and avoid them being lost based on the planned change to delete notifications older than 5 years, as previously announced. [https://phabricator.wikimedia.org/T383948] * Wikipedia editors in Indonesian, Thai, Turkish, and Simple English now have access to Special:PersonalDashboard. This is an [[mw:Special:MyLanguage/Moderator Tools/Dashboard|early version of an experience]] that introduces newer editors to patrolling workflows, making it easier for them to move from making edits to participating in more advanced moderation work on their project. [https://phabricator.wikimedia.org/T402647] * The [[Special:Block]] now has two minor interface changes. Administrators can now easily perform indefinite blocks through a dedicated radio button in the expiry section. Also, choosing an indefinite expiry provides a different set of common reasons to select from, which can be changed at: [[MediaWiki:Ipbreason-indef-dropdown]]. [https://phabricator.wikimedia.org/T401823] * Mobile editors [[mw:Special:MyLanguage/Contributors/Account Creation Experiments#Logged-out|at several wikis]] can now see an improved logged-out edit warning, thanks to the recent updates from the Growth team. These changes released last week are part of ongoing efforts and tests to enhance [[mw:Special:MyLanguage/Contributors/Account Creation Experiments|account creation experience on mobile]] and then increase participation. [https://phabricator.wikimedia.org/T408484] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:36}} community-submitted {{PLURAL:36|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the bug that prevented mobile web users from seeing the block information when affected by multiple blocks has been fixed. They can now see messages of all the blocks currently affecting them when they access Wikipedia. '''Updates for technical contributors''' * Images built using Toolforge will soon get the upgraded buildpacks version, bringing support for newer language versions and other upstream improvements and fixes. If you use Toolforge Build Service, review the recent [https://lists.wikimedia.org/hyperkitty/list/cloud-announce@lists.wikimedia.org/thread/EMYTA32EV2V5SQ2JIEOD2CL66YFIZEKV/ cloud-announce email] and update your build configuration as necessary to ensure your tools are compatible. [https://wikitech.wikimedia.org/w/index.php?title=Help:Toolforge/Building_container_images&oldid=2392097#Buildpack_environment_upgrade_process][https://phabricator.wikimedia.org/T380127] * The [https://api.wikimedia.org/wiki/Main_Page API Portal] documentation wiki will shut down in June 2026. API keys created on the API Portal will continue to work normally. api.wikimedia.org endpoints will be deprecated gradually starting in July 2026. Documentation on the API Portal is moving to [[mw:Wikimedia APIs|mediawiki.org]]. Learn more on the [[wikitech:API Portal/Deprecation|project page]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.21|MediaWiki]] '''In depth''' * [[m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]] is considering improvements to [[m:WMDE Technical Wishes/References/VisualEditor automatic reference names|automatically generated reference names in VisualEditor]]. Please check out the [[m:WMDE Technical Wishes/References/VisualEditor automatic reference names#Proposed solutions|proposed solutions]] and participate in the [[m:Talk:WMDE Technical Wishes/References/VisualEditor automatic reference names#Request for comment|request for comment]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/13|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W13"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:51, 23 March 2026 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30268305 --> == Tech News: 2026-14 == <section begin="technews-2026-W14"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/14|Translations]] are available. '''Weekly highlight''' * The Beta version of [[abstract:|Abstract Wikipedia]] a new Wikimedia project which is language-independent, was launched last week. The project allows communities to build Wikipedia articles in their native language, which can be readily accessed by other users in their own languages. The wiki is powered by instructions from Wikifunctions and also based on structured content from Wikidata. [[:f:Special:MyLanguage/Wikifunctions:Status updates/2026-03-26|Read more]]. '''Updates for editors''' * The Growth team is running an A/B test to evaluate a clearer, more user-friendly message that promotes account creation on wikis. Currently when logged-out mobile users begin editing, they see a jarring warning message that can feel abrupt and discouraging. This also presents temporary account editing as the default rather than encouraging account creation. The test is running on ten Wikipedias, including Arabic, French, Spanish and German. [[mw:Special:MyLanguage/Contributors/Account Creation Experiments#2. Improve logged-out warning message (T415160)|Read more]]. * The Wikimedia Apps team is inviting feedback on [[mw:Special:MyLanguage/Wikimedia Apps/Team/Future of Editing on the Mobile Apps|how editing should work on the Wikipedia mobile apps]]. The discussion focuses on improving how users access editing tools when they tap "Edit". This is part of a broader effort to convert readers who develop an interest in editing, to access a more user-friendly pathway to start contributing. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:45}} community-submitted {{PLURAL:45|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where citation fetching from the large newspaper archive [https://www.newspapers.com Newspapers.com] was no longer working, due to a block in [[mw:Special:MyLanguage/Citoid|Citoid]] requests, has now been fixed. [https://phabricator.wikimedia.org/T419903] '''Updates for technical contributors''' * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.22|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/14|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W14"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:25, 30 March 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30329462 --> == Tech News: 2026-15 == <section begin="technews-2026-W15"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/15|Translations]] are available. '''Updates for editors''' * The [[mw:Special:MyLanguage/Help:Extension:CampaignEvents|CampaignEvents extension]] now includes a new group goal-setting feature, enabling organizers to set and track event goals such as the number of articles created and participating contributors in real time. Similarly, participants can work toward shared targets and see their collective impact as the event unfolds. The feature is now available on all Wikimedia wikis. Learn more in [[mw:Special:MyLanguage/Help:Extension:CampaignEvents/Registration/Collaborative contributions#Goal setting|the documentation]]. * [[File:Maki-gift-15.svg|12px|link=|class=skin-invert|Wishlist item]] The new [[mw:Special:MyLanguage/Help:Watchlist labels|watchlist labels]] feature (announced in [[m:Special:MyLanguage/Tech/News/2026/07|Tech News 2026-07]]) is now available via VisualEditor, the source editor, and the 'watchstar' (or watch link, for skins that don't have a star icon). Previously it was only possible to assign labels via [[Special:EditWatchlist|EditWatchlist]]. In all three places it is a new field following the expiry field. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where talk pages on mobile with Parsoid are unusable after empty section headers, has now been fixed. [https://phabricator.wikimedia.org/T419171] '''Updates for technical contributors''' * The [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|sub-referencing feature]], which lets editors add details to an existing reference without duplicating it, will be gradually rolled out to [[phab:T414094|more wikis]] later this year. Wikis using the [[mw:Special:MyLanguage/Reference Tooltips|Reference Tooltips]] gadget are encouraged to update their version (typically at [[m:MediaWiki:Gadget-ReferenceTooltips.js|MediaWiki:Gadget-ReferenceTooltips.js]] as shown [https://en.wikipedia.org/w/index.php?diff=1344408362 here]) to ensure compatibility. Other reference-related gadgets may also be affected. [https://phabricator.wikimedia.org/T416304] * All Wikinews editions will be closed and switched to read-only mode on 4 May 2026. Content will remain accessible, but no new edits or articles can be added. This closure was approved by the Board of Trustees of the Wikimedia Foundation following extended discussions. [[m:Wikimedia Foundation Board noticeboard#Board of Trustees Approves Closure of Wikinews|Read more]]. * The [[:mw:Special:MyLanguage/API:Action API|Action API]] has had several formats for requested output. One of them, <bdi lang="zxx" dir="ltr"><code><nowiki>format=php</nowiki></code></bdi>, is being removed soon. Please ensure your scripts or bots use the [[mw:Special:MyLanguage/API:Data formats#Output|JSON format]]. This removal should affect very few scripts and bots. [https://phabricator.wikimedia.org/T118538] * The [[Special:NamespaceInfo|Special:NamespaceInfo]] page now includes namespace aliases. For example "WP" for the "Project" ("Wikipedia") namespace on the German Wikipedia. [https://phabricator.wikimedia.org/T381455] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.23|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/15|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W15"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:19, 6 April 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30362761 --> == Tech News: 2026-16 == <section begin="technews-2026-W16"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/16|Translations]] are available. '''Weekly highlight''' * Experienced editors are invited to [https://b24e11a4f1.catalyst.wmcloud.org/wiki/Main_Page test] the [[mw:Special:MyLanguage/Article guidance|Article guidance]] feature, designed to help less-experienced editors create well-structured, policy-compliant Wikipedia articles. Testing instructions are [[mw:Special:MyLanguage/Article guidance/Test feature guide|available]]. Also, after reviewing [https://b24e11a4f1.catalyst.wmcloud.org/wiki/Category:Pages_using_article_guidance the outlines], please provide feedback on the [[mw:Talk:Article guidance|project talk page]]. Based on your input, the feature will be refined and transferred to the pilot Wikipedias to translate and adapt. Check out [[c:File:Article Guidance workflow demo - April 2026.webm|the video]] explaining the feature. '''Updates for editors''' * On most wikis, all autoconfirmed users can now use [[Special:ChangeContentModel|Special:ChangeContentModel]] page to [[mw:Special:MyLanguage/Help:ChangeContentModel|create new pages with custom content models]], such as mass message lists, making custom page formats more accessible. Check [[Special:ListGroupRights|Special:ListGroupRights]] for the status of your wiki. [https://phabricator.wikimedia.org/T248294] * The Growth team has launched an [[mw:Special:MyLanguage/Contributors/Account_Creation_Experiments|account creation experiment]] to evaluate whether adding an account creation button to the mobile web header increases new account registrations and encourages more mobile users to contribute to the wikis. The experiment is currently live on Hindi, Indonesian, Bengali, Thai, and Hebrew Wikipedia, and targets 10% of logged-out mobile web users. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where VisualEditor could get stuck loading on Windows devices with animations turned off, has now been fixed. [https://phabricator.wikimedia.org/T382856] '''Updates for technical contributors''' * Starting later this week, {{int:group-abusefilter}} who have the [[mw:Special:MyLanguage/Help:Extension:CodeMirror|{{int:codemirror-beta-feature-title}}]] beta feature enabled will have [[mw:Special:MyLanguage/Extension:CodeMirror|CodeMirror]] instead of [[mw:Special:MyLanguage/Extension:CodeEditor|CodeEditor]] as the editor at [[Special:AbuseFilter|Special:AbuseFilter]]. This is part of the broader effort to make the user experience more consistent across all editors. [https://phabricator.wikimedia.org/T399673][https://phabricator.wikimedia.org/T419332] * Tools and bots that access the [[mw:Special:MyLanguage/Notifications/API|Notifications API]] (<bdi lang="zxx" dir="ltr"><code><nowiki>action=query&meta=notifications</nowiki></code></bdi>) will need to update their OAuth or BotPassword grants to also include access to private notifications. [https://phabricator.wikimedia.org/T421991] * Due to a library upgrade, listings on category pages may be displayed out of order starting on Monday, 20th April. A migration script will be run to correct this, and will take hours to days depending on the size of the wiki (up to a week for English Wikipedia). [https://phabricator.wikimedia.org/T422544] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.24|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/16|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W16"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 15:19, 13 April 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30380527 --> == Tech News: 2026-17 == <section begin="technews-2026-W17"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/17|Translations]] are available. '''Weekly highlight''' * After two years of development, [[mw:Special:MyLanguage/Help:Extension:CodeMirror|{{int:codemirror-beta-feature-title}}]], also known as [[mw:Special:MyLanguage/Extension:CodeMirror|CodeMirror 6]], is to be promoted out of beta on Tuesday, April 21. It brings better code and wikitext readability, reduction in typing errors, and other [[mw:Special:MyLanguage/Help:Extension:CodeMirror|benefits]] to all users of the standard syntax highlighter. A huge thank you to volunteer [https://phabricator.wikimedia.org/p/Bhsd/ Bhsd] who developed many of the new features, including [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Code folding|code folding]], [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Autocompletion|autocompletion]], and [[mw:Special:MyLanguage/Help:Extension:CodeMirror#Linting|linting]]. [https://phabricator.wikimedia.org/T259059] * A major update to the Wikipedia app for iOS is now rolling out, redesigning the interface to align with Apple's latest "Liquid Glass" visual design. [https://apps.apple.com/us/app/wikipedia/id324715238 Download the latest version] and explore the update. '''Updates for editors''' * [[mw:Special:MyLanguage/Readers/Reader Experience/WE3.3.4 Reading lists|Reading lists]] is a feature which allows readers to save articles to a list for reading later. This feature is now in beta on Arabic, French, Indonesian, Vietnamese, and Chinese Wikipedias and by default for all new accounts on all Wikipedias. * An experiment which explores extending [[mw:Special:MyLanguage/Readers/Reader Growth/Mobile page previews|Page Previews to mobile web]] will be launched in the week of April 20 on Arabic, English, French, Italian, Polish, and Vietnamese Wikipedias. Page Previews are pop-ups that display a thumbnail, lead paragraph, and a link to open the full article of a blue link, thereby improving content discovery. The feature is already available on desktop and in the apps. [[m:Special:MyLanguage/List of experiments in Product and Technology#Template|Read more about this experiment and others]]. * On several wikis, logged-in editors who haven't [[mw:Special:MyLanguage/Help:Email confirmation|confirmed their email addresses]] can now see a banner encouraging them to do so. Having the email address confirmed allows a user to restore access to the account if they lose it. [[mw:Special:MyLanguage/Product Safety and Integrity/Account Security#Encouraging users to confirm their email addresses|Learn more]]. [https://phabricator.wikimedia.org/T421366] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:15}} community-submitted {{PLURAL:15|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where editing very large wiki pages in the 2017 wikitext editor caused slow loading, preview and scrolling lag, and performance issues when selecting, cutting, or pasting content, has now been fixed. [https://phabricator.wikimedia.org/T184857] '''Updates for technical contributors''' * As part of the promotion of [[mw:Special:MyLanguage/Help:Extension:CodeMirror|CodeMirror]] from a beta feature, all users will use [[mw:Special:MyLanguage/Extension:CodeMirror|CodeMirror]] instead of [[mw:Special:MyLanguage/Extension:CodeEditor|CodeEditor]] for syntax highlighting when editing JavaScript, CSS, JSON, Vue and Lua content pages. [https://phabricator.wikimedia.org/T419332] * The <code>mirrors.wikimedia.org</code> service for Debian and Ubuntu users will sunset and stop working on May 15. The resources for the service will be replaced with new and better options. Some users may need to switch to a different server which should take about a minute. [https://lists.wikimedia.org/hyperkitty/list/wikitech-l@lists.wikimedia.org/thread/LJYRIS4WB66HIRCAO4GIDTXCMDVZRBMA/ You can read more]. [https://phabricator.wikimedia.org/T416707] * The <bdi lang="zxx" dir="ltr"><code><nowiki>image</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>oldimage</nowiki></code></bdi> table will be removed from [[wikitech:Help:Wiki Replicas|wikireplicas]]. If your tools or queries access <bdi lang="zxx" dir="ltr"><code><nowiki>image</nowiki></code></bdi> or <bdi lang="zxx" dir="ltr"><code><nowiki>oldimage</nowiki></code></bdi> directly, please update them to use the <bdi lang="zxx" dir="ltr"><code><nowiki>file</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>filerevision</nowiki></code></bdi> table before 28 May. [https://phabricator.wikimedia.org/T28741] * Following the recent implementation of global API rate limits on unidentified traffic, the Wikimedia Foundation will continue efforts to ensure [[mw:Special:MyLanguage/MediaWiki Product Insights/Responsible Reuse|fair use of infrastructure]] by applying global limits to identified API traffic beginning the last week of April. These limits are intentionally set as high as possible to minimise impact on the community. Bots running in Toolforge/WMCS or with the bot user right on any wiki should not be affected for now. However, all developers are advised to follow updated best practices. For more information, see [[mw:Special:MyLanguage/Wikimedia APIs/Rate limits|Wikimedia APIs/Rate limits]] and [[mw:Special:MyLanguage/Wikimedia APIs/Rate limits/FAQ|Frequently Asked Questions]]. * The [[mw:Special:MyLanguage/Attribution API|Attribution API]] is now available as a [[mw:Special:MyLanguage/Wikimedia APIs/Stability policy|beta]]. The API fetches information for crediting Wikimedia articles and media files wherever they are used. Reference documentation is available through the REST Sandbox special page available on all Wikimedia wikis (such as the [https://en.wikipedia.org/w/index.php?api=attribution.v0-beta&title=Special%3ARestSandbox REST sandbox on English Wikipedia]). Share your feedback on the [[mw:Talk:Attribution API|project talk page]]. * There is no new MediaWiki version this week. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/17|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W17"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 15:00, 20 April 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30432763 --> == Tech News: 2026-18 == <section begin="technews-2026-W18"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/18|Translations]] are available. '''Updates for editors''' * There is a change in how new users are autoconfirmed that will improve anti-vandalism protection. Currently, users who have had an account for a few days and made a few edits are automatically added to the [[{{int:grouppage-autoconfirmed/{{CONTENTLANGUAGE}}}}|{{int:group-autoconfirmed}}]] group. This configuration tends to be exploited by some vandals, who create accounts and start to use them only after some time. To mitigate this, the configuration will be updated next week so that – for the purpose of becoming autoconfirmed – the account age will be counted from their first edit, instead of registration date. The numeric value of the age threshold will remain the same. This change will be deployed only to wikis which require at least one edit as part of the autoconfirmation conditions. [https://phabricator.wikimedia.org/T418484] * All Wikipedia users with new accounts and those who activated the "automatically enable most beta features" option in their preference can now use the [[mw:Special:MyLanguage/Readers/Reader Experience/WE3.3.4 Reading lists|reading lists]] beta feature to save articles for later reading. This helps organize reading interests in one place for convenient access. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where infobox images have huge padding in Firefox, has been fixed. [https://phabricator.wikimedia.org/T423676] '''Updates for technical contributors''' * As a reminder, the global API rate limits will be applied this week to identified API traffic. This is to help ensure [[mw:MediaWiki Product Insights/Responsible Reuse|fair use of infrastructure]]. Bots running in Toolforge/WMCS or with the bot user right on any wiki should not be affected for now. However, all developers are advised to follow updated best practices. For more information, including the actual rate limits, see [[mw:Wikimedia APIs/Rate limits|Wikimedia APIs/Rate limits]] and [[mw:Wikimedia APIs/Rate limits/FAQ|Frequently Asked Questions]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.26|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/18|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W18"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:06, 27 April 2026 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30458046 --> == Tech News: 2026-19 == <section begin="technews-2026-W19"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/19|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Article guidance|Article guidance]] team invites experienced editors of [[mw:Special:MyLanguage/Article guidance/Pilot wikis and collaborators|pilot Wikipedias]]—Arabic, Bangla, Japanese, Portuguese, Persian, Turkish, Simple English, Spanish, and French—to help translate and adapt [https://b24e11a4f1.catalyst.wmcloud.org/wiki/Category:Pages_using_article_guidance sample outlines]. These outlines will guide editors in creating clear, well-structured, and policy-compliant articles when using [https://b24e11a4f1.catalyst.wmcloud.org/wiki/Special:NewArticle the feature] once it is launched in May 2026. [[mw:Special:MyLanguage/Article guidance#Adapting a sample outline in a Wikipedia|Simple instructions]] on how to translate and adapt the outlines are available. '''Updates for editors''' * The [[:m:Special:MyLanguage/Product and Technology Advisory Council|Product and Technology Advisory Council]] has published [[:m:Special:MyLanguage/Product and Technology Advisory Council/May 2026 draft PTAC recommendation for feedback|draft recommendations]] on a model that affiliates can follow when contributing to the technical space. Community members are invited to provide feedback on the recommendation until May 8th [[:m:Talk:Product and Technology Advisory Council/May 2026 draft PTAC recommendation for feedback|on the talk page]]. * The number of available thumbnail size preferences in MediaWiki is being reduced to three standardized options—Small (180px), Regular (250px), and Large (400px), as part of ongoing efforts to improve performance and reduce strain on thumbnail services. As a result, existing preferences will be mapped to the nearest new size (for example, smaller selections like 120px or 150px will render at 180px, while larger ones like 300px or 360px will render at 400px). The preferences interface will soon be updated to reflect these changes, and users who wish to opt out or provide feedback can do so. [https://phabricator.wikimedia.org/T424909] * From now on, even when a permission expires automatically, users will receive an Echo notification similar to the standard notification for permission changes. There is a difference between this and [[m:Special:MyLanguage/Global reminder bot|Global reminder bot]] in that the latter reminds users a week ''before'' the rights are due to expire, so that they can renew the rights. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:32}} community-submitted {{PLURAL:32|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the problem where the ULS language selector in [[m:Special:Translate|Special:Translate]] would scroll vertically when it shouldn't, has been resolved. Previously, when users opened the "Translate to English" dropdown and typed certain inputs, the dialog would scroll vertically by a few pixels even when there was enough space to display all results. The dropdown no longer shifts unnecessarily when filtering languages. [https://phabricator.wikimedia.org/T358864] * The [[m:Special:GlobalWatchlist|Global Watchlist]], which lets you view your watchlists from multiple wikis on a single page, continues to improve. For example, watchlists for Wikibase sites such as [[:d:|Wikidata]] now support [[mw:Special:MyLanguage/Extension:EntitySchema|EntitySchema]] elements for better tracking. The Live Updates mode now refreshes the special page every 60 seconds to comply with the updated [[mw:Special:MyLanguage/Wikimedia APIs/Rate limits|global API rate limits]] for improved real-time responsiveness. Additionally, a directionality bug that displayed links as "changes 3" instead of "3 changes" in mixed-direction lists has been fixed. [https://phabricator.wikimedia.org/T415450][https://phabricator.wikimedia.org/T424422][https://phabricator.wikimedia.org/T418091] '''Updates for technical contributors''' * The second phase of [[mw:Special:MyLanguage/Wikimedia APIs/Rate limits|global API rate limits]] has been rolled out to reduce the [[diffblog:2026/03/26/quo-vadis-crawlers-progress-and-whats-next-on-safeguarding-our-infrastructure/|impact of AI crawlers]] and ensure fair, sustainable access to Wikimedia resources, prioritising human and mission-aligned traffic. [[mw:Special:MyLanguage/Wikimedia APIs/Rate limits#Limits|Limits]] have been shifted from per-hour to per-minute, producing smoother traffic patterns and more predictable API load. Community users are not expected to be affected, and no action is required. Early indications show some User-Agent-based requestors are adjusting behaviour, and around 64% of automated API traffic has been identified. Monitoring continues, and Wikimedia Enterprise remains available for commercial support. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.46/wmf.27|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/19|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W19"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:43, 4 May 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30498077 --> == Tech News: 2026-20 == <section begin="technews-2026-W20"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/20|Translations]] are available. '''Weekly highlight''' * Community Tech has published [[m:Special:MyLanguage/Community Wishlist/How to write a good wish|new guidance]] explaining how wishes on Community Wishlist are triaged and prioritized. The documentation is intended to help contributors write stronger proposals by clarifying the factors that influence prioritization decisions. Beyond vote counts, the guidance highlights considerations such as potential impact on the community when determining which wishes move forward. '''Updates for editors''' * The Reader Growth team is launching an experiment to test a new [[mw:Special:MyLanguage/Readers/Reader_Growth/Share_Card|Share Card feature]] that allows readers to create visually engaging cards from Wikipedia articles or selected article sections and share them online, with each card linking back to the original article to help expand readership and article discovery. The mobile-only A/B test will be available to a portion of readers on Arabic, Chinese, French, Vietnamese, and English Wikipedia to better understand reading and sharing habits, and is scheduled to begin the week of May 18 and run for four weeks. * The Android and iOS Wikipedia apps recently released the [[mw:Special:MyLanguage/Wikimedia_Apps/Team/25th_Birthday_Reading_Challenge|25-day reading challenge]] into Beta, as part of efforts to drive reader engagement by encouraging users to complete reading milestones. To track their reading streak during the challenge, App users can add a widget featuring Baby Globe to their home screen. The challenge officially begins May 11. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:17}} community-submitted {{PLURAL:17|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where the global preference for enabling syntax highlighting in wikitext could unexpectedly disable itself after being turned on, has now been fixed. [https://phabricator.wikimedia.org/T425286] '''Updates for technical contributors''' * [[File:Octicons-tools.svg|12px|link=|alt=|Advanced item]] The ResourceLoader module <bdi lang="zxx" dir="ltr"><code><nowiki>mediawiki.ui.input</nowiki></code></bdi>, deprecated since [[m:Special:MyLanguage/Tech/News/2023/39|September 2023]], will be removed this week. There is a [[mw:Special:MyLanguage/Codex/Migrating_from_MediaWiki_UI|guide for migrating from MediaWiki UI to Codex]] for any tools that use it. [https://phabricator.wikimedia.org/T420125] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.2|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/20|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W20"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:20, 11 May 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30524429 --> == Tech News: 2026-21 == <section begin="technews-2026-W21"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/21|Translations]] are available. '''Weekly highlight''' * The Abstract Wikipedia team has identified five potential pilot wikis to assess their interest in adopting abstract articles on their wikis. The pilots are Malayalam, Bengali, Dagbani, Arabic, and Indonesian Wikipedia. The feedback period will be open until May 22. If your community is interested in becoming a pilot, [[m:Talk:Abstract Wikipedia|let us know on Meta]]. '''Updates for editors''' * An experiment to show [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists]] to logged-out readers on mobile web will launch on May 18 across German, Spanish, Italian, Portuguese, Polish, Dutch, Turkish, and Urdu Wikipedias, and will run for one month. The effort supports broader goals of helping readers save and organize articles for later reading, while encouraging habits that could lead to future Wikipedia contributions. * To support a bookmark button in the Reading List beta feature, the "Tools > Action" menu has been updated to display icons, including the watch star indicator that helps editors identify temporarily watched articles. The icons now also match those used on mobile, improving consistency across platforms. The change is currently limited to the actions menu and mainly affects editors with privileged user rights. [https://phabricator.wikimedia.org/T426008] * [[mw:Special:MyLanguage/VisualEditor/Suggestion Mode|Suggestion Mode]] was released as an [[w:en:A/B test|A/B test]] for newcomer editors on the mobile website at [[phab:T421189|~15 Wikipedias]]. The experiment will measure the impact that Suggestion Mode has on the proportion of newcomer mobile web edit sessions that result in constructive (un-reverted) article edits. The experiment will also evaluate the feature's impact on editor retention, and monitor changes in revert and block rates. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:27}} community-submitted {{PLURAL:27|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue in the Wikipedia Android app where images could sometimes fail to load after opening a recommended reading list notification, has now been fixed. [https://phabricator.wikimedia.org/T418231] '''Updates for technical contributors''' * The [[mw:Special:MyLanguage/Wikidata Platform|Wikidata Platform team]] has published its [[d:Special:MyLanguage/Wikidata:SPARQL query service/WDQS backend update/Backend Replacement|backend replacement recommendation]] and accompanying [[wikitech:Wikidata Query Service/WDQS Architecture re-design|technical architecture]] for the migration of the Wikidata Query Service (WDQS) away from Blazegraph. Feedback is invited until May 25th 2026, especially on potential gaps and impacts on advanced use cases. Wikidata community members and WDQS users are also encouraged to help identify high-impact tools and workflows that may need attention on [[d:Wikidata:SPARQL query service/WDQS backend update/High-Impact Use Cases|this page]]. Feedback can be shared on the [[d:Wikidata talk:SPARQL query service/WDQS backend update|Migration talk page]] or during the [[d:Special:MyLanguage/Wikidata:Blazegraph Migration Office Hours|next office hour]]. See the [[d:Special:MyLanguage/Wikidata:Wikidata Platform team/Newsletter|WDP team newsletter]] for more details. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.3|MediaWiki]] '''In depth''' * On English, French, Japanese, and a few other Wikipedias, there was a [[diffblog:2025/09/02/better-detecting-bots-and-replacing-our-captcha/|trial of hCaptcha]], a third-party bot detection service. The trial showed that hCaptcha effectively detects and deters some bad-faith automated activity, on its own and by giving [[w:en:Wikipedia:Village pump (technical)/Archive 225#Introducing SuggestedInvestigations|checkusers and stewards]] signals to look into. Because the results were positive, hCaptcha will be rolled out across all wikis over the next few weeks. [[mw:Special:MyLanguage/Product Safety and Integrity/Anti-abuse signals/hCaptcha|See the hCaptcha project page]] for technical information about the implementation and privacy protections. [[diffblog:2026/05/04/better-detecting-bots-and-replacing-our-captcha-part-2/|Learn more]]. * The latest Community Tech update is now available, with progress across several Community Wishlist initiatives, including Reading Lists expansion from the mobile app to the website, new language support for "Who Wrote That" and the Personal Dashboard, improvements to 3D rendering and Charts, and upcoming work on talk page sorting, audio playback, and editing workflows. The update also shares current priorities, wishlist status trends, and opportunities for community feedback on future focus areas and the Wikimedia Foundation’s 2026–2027 Annual Plan. [[m:Special:MyLanguage/Community Wishlist/Updates#May 13, 2026: Latest updates from the Community Tech team|Read the full newsletter for details]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/21|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W21"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:21, 18 May 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30539262 --> == Tech News: 2026-22 == <section begin="technews-2026-W22"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/22|Translations]] are available. '''Weekly highlight''' * Following a [[mw:Special:MyLanguage/Contributors/Account Creation Experiments#LOWM|successful account creation experiment]], an improved logged-out edit warning message will be deployed to all Wikimedia wikis in the first week of June. The change will only affect logged-out users on mobile web who open an editing session. The updated experience is designed to encourage account creation more clearly, while still allowing users to edit with temporary accounts. Results from the experiment showed a significant increase in account creation, with a 27% relative lift among users shown the updated message. As expected, as more people funnel into account creation, temporary accounts decreased by a relative 16%. The experiment did not show any significant changes in constructive edit rates or other monitored contributor metrics. [https://phabricator.wikimedia.org/T424595] '''Updates for editors''' * For security reasons, members of certain user groups are [[m:Special:MyLanguage/Mandatory two-factor authentication for users with some extended rights|required to have two-factor authentication]] (2FA) enabled. Members of these groups will be unable to disable the last 2FA method on their account, and it will be impossible to add users without 2FA to these groups. Users will still be able to add new authentication methods or remove them, as long as at least one method is continuously enabled. In the next few weeks, users without 2FA will be removed from these groups. Notably, this applies to bureaucrats. See the linked tasks for deployment schedules. [https://phabricator.wikimedia.org/T423119][https://phabricator.wikimedia.org/T423120] * [[m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]] will run an [[w:en:A/B testing|A/B test]] on [[:phab:T415904|10 wikis]], testing [[m:WMDE Technical Wishes/References/Reference Previews|potential improvements for Reference Previews]]. The experiment will run for ~2 weeks at the end of May / beginning of June and will affect 10% of desktop readers on the participating wikis. * After two successful experiments, the Reader Growth team is rolling out an [[mw:Special:MyLanguage/Readers/Reader Growth/Image Browsing|Image Browsing]] beta feature for all Wikipedias on mobile on May 25. This means that anyone who has all beta features on by default will start to see this feature, and others can check the box to turn it on in their preferences. The beta feature will include a carousel of all an article's images at the top of the article, with controls for editors to [[mw:Readers/Reader_Growth/Image_Browsing#Phase_2.1_beta_feature|exclude images from the article's carousel or to exclude an article from the feature entirely]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, three dimensional STL files were being rendered incorrectly by the media viewer 3D extension which is now fixed. [https://phabricator.wikimedia.org/T416723] '''Updates for technical contributors''' * The legacy CSS classes <bdi lang="zxx" dir="ltr"><code><nowiki>tleft</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>tright</nowiki></code></bdi> have been replaced with <bdi lang="zxx" dir="ltr"><code><nowiki>floatleft</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>floatright</nowiki></code></bdi> as the former do not work consistently across all MediaWiki platforms, notably mobile web and mobile apps. Projects relying on these classes are encouraged to review related usage and plan for migration. Please note that <bdi lang="zxx" dir="ltr"><code><nowiki>floatleft</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>floatright</nowiki></code></bdi> may also be deprecated in future, although there are currently no plans to do so. [[phab:T426452|Read more]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.4|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/22|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W22"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:52, 25 May 2026 (UTC) <!-- Message sent by User:Quiddity (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30584502 --> == Tech News: 2026-23 == <section begin="technews-2026-W23"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/23|Translations]] are available. '''Updates for editors''' * The [[mw:Special:MyLanguage/Readers/Reader Experience|Reader Experience team]] is conducting an experiment to show the [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|reading lists]] feature, which is still in development, to logged-out mobile readers to test whether it encourages account creation at a higher rate compared to the watchstar button. The [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists#Experiment timeline|experiment]] was launched on May 18th on German, Spanish, Italian, Portuguese, Polish, Dutch, Turkish, and Urdu wikis, and it will run for a month. * The Wikimedia Apps team released [[mw:Special:MyLanguage/Wikimedia Apps/Team/Explore Feed Refresh/Phase 1|Phase 1]] of the redesigned Home Feed to the Android Beta app. The new Home Feed includes a refreshed "Community" tab and a personalized "For You" tab featuring daily updated reading recommendations. The redesign is part of a broader effort to improve content discovery and create more engaging learning experiences in the Wikipedia apps. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:18}} community-submitted {{PLURAL:18|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where images could fail to load for some suggested edits on [[w:Special:Homepage|Special:Homepage]], leaving the thumbnail stuck in a loading state, has now been fixed. [https://phabricator.wikimedia.org/T424048] '''Updates for technical contributors''' * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.5|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/23|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W23"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:08, 1 June 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30613639 --> == Tech News: 2026-24 == <section begin="technews-2026-W24"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/24|Translations]] are available. '''Weekly highlight''' * Wikimedia Enterprise has increased the free usage limits for its API offerings. The monthly request limit for the On-demand API has increased from 5,000 to 50,000 requests, while the Snapshot API limit has increased from 15 to 30 requests per month. In addition, Structured Contents snapshots are now available for free accounts. These changes expand access to Wikimedia Enterprise data for developers, researchers, and organizations using Wikimedia content. [https://enterprise.wikimedia.com/blog/enhanced-free-api] '''Updates for editors''' * The [[mw:Special:MyLanguage/Wikimedia_Apps/Team/Explore Feed Refresh/Phase 1|refreshed Explore Feed]], now called the Home Feed, is rolling out to 50% of users of the Wikipedia Android app. The Home Feed helps readers discover relevant content through two new tabs: ''Community'' and ''For You''. The Community tab provides a scrollable feed of curated content and updates from the broader Wikimedia community and movement, while the ''For You'' tab offers a full-screen, swipeable experience that shows content tailored to a user's interests. The redesign is part of a broader effort to improve discovery and enhance the learning experience in the Wikipedia app. * The [[mw:Special:MyLanguage/Wikimedia Apps/Team/iOS/"Which came first?" Game|Which came first?]] daily trivia game is now available in the beta version of the Wikipedia iOS app in English, German, French, Portuguese, Russian, Spanish, Arabic, Chinese, and Turkish. The game uses historical events from Wikipedia's "On This Day" content and challenges readers to guess which of two events happened first. The game was previously released on Android. Communities interested in making the game available in their languages can [[mw:Special:MyLanguage/Wikimedia_Apps/Team/Games#Game availability by language|read the instructions and requirements]]. * [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|Sub-referencing]], a new MediaWiki feature that allows editors to reuse references with different details, will begin rolling out to Wikimedia wikis following a successful pilot phase. Deployment will start on 8 June for most [[wikitech:Deployments/Train#Wednesday|Group 1 wikis]] and French Wikipedia, with additional Wikipedia language editions receiving the feature over the coming months. Communities are encouraged to prepare by checking for [https://translatewiki.net/w/i.php?title=Special%3ATranslate&group=ext-cite&language=en&action_source=search&filter=%21translated&optional=1&action=translate untranslated Cite extension messages] in their language and reviewing any use of [[mw:Special:MyLanguage/Reference Tooltips|Reference Tooltips]], which may require [[:phab:T416304#11668731|updates]] to support the new functionality. Wikis using [[mw:Special:MyLanguage/Help:Reference Previews|Reference Previews]] do not need to take any action. Communities may also wish to create the ''cite-tracking-category-ref-details'' [[Special:TrackingCategories|tracking category]] as a hidden category using <code><nowiki>__HIDDENCAT__</nowiki></code> (or a dedicated template), and connect it to the corresponding Wikidata item [[d:Q129764848]]. [https://phabricator.wikimedia.org/T425662] * The [[mw:Special:MyLanguage/Readers/Reader Growth/Mobile page previews#Experimentation|Page Previews experiment]] on mobile web has concluded. The team decided not to roll out the feature after the results showed no statistically significant impact on reader retention, as the primary success metric was retention improvement. Page Previews, which are already available on desktop and in the apps, display a thumbnail, lead paragraph, and link to the full article when readers tap a blue link. The experiment tested this experience on mobile web across six Wikipedias. * The [[mw:Special:MyLanguage/Codex/Design/Icons|user interface icon library]] will be [[phab:T399175|updated later this week or next week]]. Most of the ~300 icons have been slightly refined and ~30 new icons have been added. These changes improve the icons to make them more consistent and comprehensible, and provide more visual balance when they are used in groups. * The [[mw:Special:MyLanguage/Universal Language Selector|Universal Language Selector]] (ULS) interface in MediaWiki, which helps users select content in other languages, has been updated. The new version improves speed and accessibility, and users of Wikimedia projects can now pin languages for quicker language switching. The deployment to Wikimedia sites will happen gradually in the coming weeks. You can test it now as a beta feature by selecting [[Special:Preferences#mw-prefsection-betafeatures|beta features]] in your profile preferences and share your feedback on [[mw:Special:MyLanguage/Universal Language Selector/New ULS|the project page]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:21}} community-submitted {{PLURAL:21|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where the Pageviews Analysis dashboard on pageviews.wmcloud.org stopped updating graph data in May 2026, affecting all users, has been fixed. [https://phabricator.wikimedia.org/T427171] '''Updates for technical contributors''' * The function signature for <bdi lang="zxx" dir="ltr"><code><nowiki>mw.util.addPortletLink()</nowiki></code></bdi> has been simplified. Developers can now pass a configuration object instead of a list of positional parameters when creating portlet links. The previous function signature remains supported for backwards compatibility. For example, instead of: <bdi lang="zxx" dir="ltr"><code><nowiki>mw.util.addPortletLink('p-cactions', '#', 'Stub', 'ca-stubtag', 'Add a stub tag to this page');</nowiki></code></bdi> use <bdi lang="zxx" dir="ltr"><code><nowiki>mw.util.addPortletLink('p-cactions', { href: '#', text: 'Stub', id: 'ca-stubtag', tooltip: 'Add a stub tag to this page' });</nowiki></code></bdi>. Script maintainers are encouraged to review existing uses of <bdi lang="zxx" dir="ltr"><code><nowiki>addPortletLink()</nowiki></code></bdi> and update them where appropriate. This change will be available on all wikis from 11 June. Thanks to community volunteer Gerges for contributing this improvement. [https://phabricator.wikimedia.org/T427945] * '''Community Wishlist discussion''': Product & Technology [[m:Special:MyLanguage/Community Wishlist/Updates#May 20, 2026: Community Tech becomes a program|introduced changes]] meant to increase the number and complexity of wishes fulfilled, including the disbanding of the Community Tech team. They are [[m:Special:MyLanguage/Community Wishlist/Updates|engaging in discussions]] about a [[m:Talk:Community Wishlist#Proposed direction for Wishlist|proposed direction for the wishlist]] from community members. Includes ways to structure annual voting, better tracking of wishes, removing focus areas, and [[m:Special:MyLanguage/Community Wishlist/Updates|staffing updates]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.6|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/24|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W24"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:30, 8 June 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30650573 --> == Tech News: 2026-25 == <section begin="technews-2026-W25"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/25|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Readers/Reader Growth|Reader Growth team]] has launched an [[mw:Special:MyLanguage/Readers/Reader Growth/Image Browsing|Image Browsing]] beta feature on the mobile web version of all Wikipedias. The feature shows an image carousel at the top of articles with 3 or more images. Editors can configure this feature with the following controls: to hide a specific image from a page, either use <code>class=notpageimage</code> excluding it from thumbnail previews, or <code>class=noviewer</code> excluding it from MediaViewer. The carousel can also be disabled from a page entirely, with the magic word <code><nowiki>__NOMEDIAVIEWERCAROUSEL__</nowiki></code>. To submit feedback or flag bugs, please visit the [[mw:Talk:Readers/Reader Growth/Image Browsing|project page]]. * [[mw:Special:MyLanguage/Help:Tables#class="wikitable"|Wikitables]] can now be [[mw:Special:MyLanguage/Help:Sortable tables#Forcing the initial sort direction|sorted in descending order]] on the first click by adding <code dir=ltr>data-sort-order="desc"</code> to the header cell. Previously, by default, clicking a column header for the first time sorts it in ascending order. This addition to a Wikitable gives it more control and flexibility, while the default behavior for subsequent clicks remains unchanged. [https://phabricator.wikimedia.org/T398416] '''Updates for editors''' * The [[mw:Special:MyLanguage/Article guidance|Article guidance]] feature is currently being tested with some editors creating new articles on the Simple English, French, and Turkish Wikipedias. The experiment will soon begin on the Arabic and Bangla Wikipedias as well. [[w:simple:Special:NewArticle|This feature]] gives editors community-curated guidance to help them create articles that follow community standards. Experienced editors can continue creating or adapting outlines for specific article types that are commonly created by less experienced contributors. The outlines guide less experienced editors in creating high-quality articles. A quick guide to markups used in outlines can be found on [[mw:Special:MyLanguage/Article guidance/Test feature guide#Markups in outlines|this page]]. [[w:simple:Wikipedia:Article Guidance|Example outlines]] that can be adapted and instructions for how to adapt them are on [[mw:Special:MyLanguage/Article guidance#Adapting a sample outline in a Wikipedia|this section]] of the project page. * Wikis that wish to replace the "indefinitely" button in Special:Block for temporary accounts (for example, wikis that block temporary users only until account expiration) will be able to do so by creating [[MediaWiki:ipb-indefinite-expiry-temporary-account]] with the block duration they want. [https://phabricator.wikimedia.org/T427125] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:41}} community-submitted {{PLURAL:41|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * By the end of June, a valid user-agent string will be required for automated dumps downloads from the dumps.wikimedia.org website. Automated requests that provide a generic or empty user-agent will be blocked. This [[phab:T400119|extends enforcement]] of the long standing [[foundation:Special:MyLanguage/Policy:Wikimedia Foundation User-Agent Policy|user-agent policy]]. Access to dumps through Wikimedia Cloud Services will not change. * The roll out of global [[mw:Wikimedia APIs/Rate limits|API rate limits]] is now complete, with limits enforced across all APIs and at the documented levels for all groups. Bots running in Toolforge/WMCS or with the bot user right on any wiki remain exempt. All bots should continue to follow the documented best practices to avoid being rate limited. * The [https://api.wikimedia.org/wiki/Main_Page API Portal wiki] will be read only starting this week (June 15-18). The following week (June 22-25), all API Portal wiki URLs will redirect to [[mw:Wikimedia APIs|Wikimedia APIs on mediawiki.org]]. Learn more on the [[wikitech:API Portal/Deprecation|project page]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.7|MediaWiki]] '''Meetings and events''' * On June 17th at 6pm UTC the WMF will be holding Discord call focused on a code review. We've heard through the [[mw:Special:MyLanguage/Developer Satisfaction Survey/2026|Developer Satisfaction Survey]] that volunteers are struggling with code review and we'd like to discuss these experiences with the goal of surfacing workable solutions. You can join the call [https://discord.gg/wikipedia?event=1514727511102062664 via the Wikimedia Community Discord server]. * The [[m:Special:MyLanguage/Conferencia Wikimedia de América Latina 2026|Latin American Wikimedia Conference]] will host a regional hackathon that will bring together the Wikimedia movement’s technical community including developers, system administrators, data scientists, and users with extended rights. Interested technical contributors can [https://docs.google.com/forms/d/e/1FAIpQLSf4osJzTHBJjQbYJk7TMVEJjTEQv7IgtsUDfP-o-qTgeRQQxw/viewform apply for a scholarship] to participate until June 21 at midnight (Bolivia time, UTC-4). * Sign up for Wikimania Team Challenges to join this special event. The Team challenges will take place online and in person from July 21 to 22, before Wikimania conference. Everyone is welcome, regardless of skills or Wikimania registration. Teams will work on 10 important challenges supporting the Wikimedia community. For details, visit [[wmania:Special:MyLanguage/2026:Team challenges|the Team Challenges page]] and [https://wikimedia.eventyay.com/wm/teamchallenges/ register there]. Registration closes on June 20th at 11pm UTC. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/25|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W25"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:48, 15 June 2026 (UTC) <!-- Message sent by User:UOzurumba (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30689604 --> == Tech News: 2026-26 == <section begin="technews-2026-W26"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/26|Translations]] are available. '''Weekly highlight''' * [[mw:Special:MyLanguage/Growth/Feature summary|Growth features]] are [[phab:T418115|now available at Wikidata]]. This update enables access to Mentorship ([[mw:Special:MyLanguage/Help:Growth/Mentorship|if configured]]), Impact module, the Help Panel, and a simplified Newcomer Homepage (without Suggested Edits). Wikidata administrators are still configuring the features through Community Configuration. '''Updates for editors''' * The special page [[{{#special:RangeCalculator}}]] has been created. It allows users to find an IP range without needing to rely on external tools. Until now, this tool was only available to CheckUsers. [https://phabricator.wikimedia.org/T268429] * [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|Sub-referencing]] is a new MediaWiki feature that allows editors to reuse references with different details. It will be deployed to most small and medium-sized Wikipedia language versions on June 23. The [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing#deployment|FAQ]] lists possible actions to take on your wiki to support the deployment. Check the [[:phab:T414094|rollout plan]] for the next deployment steps. [https://phabricator.wikimedia.org/T428902] * Starting next week, users will get a notification when they are blocked or unblocked from editing, or if this block changes. [https://phabricator.wikimedia.org/T100974] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:32}} community-submitted {{PLURAL:32|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * Starting next week, abuse filters that are set to "require CAPTCHA verification" will begin to also affect users with the <code>skipcaptcha</code> right, which includes most autoconfirmed users. Bots are exempted. This change only affects edits that trigger an abuse filter. The <code>skipcaptcha</code> right will continue to exempt users from having to solve CAPTCHAs in the ordinary course of using the wikis. [https://phabricator.wikimedia.org/T402595] * Reference documentation for the [[wikitech:Machine_Learning/LiftWing/API|Lift Wing API]] has moved from the API Portal to the interactive [https://wikitech.wikimedia.org/w/index.php?api=lift-wing&title=Special%3ARestSandbox REST Sandbox]. * The API Portal wiki is now closed. For API documentation, see [[mw:Special:MyLanguage/Wikimedia_APIs|Wikimedia APIs on mediawiki.org]]. All API Portal wiki URLs (https://api.wikimedia.org/wiki/) will redirect to the mediawiki.org page starting June 22. [https://phabricator.wikimedia.org/T427537] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.8|MediaWiki]] '''Meetings and events''' * Join an online call on 25 June at 2:30pm UTC to meet the current Wikimedia interns for [[mw:Google_Summer_of_Code/2026|Google Summer of Code]] and [[mw:Outreachy/Round_32|Outreachy]]. Interns will provide an overview of their projects and a brief demo of their work so far. Attendees are encouraged to [[mw:event:Google_Summer_of_Code/Summer_2026_June_Internship_open_session|share ideas and connections in their community]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/26|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W26"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 13:05, 23 June 2026 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30722494 --> == Tech News: 2026-27 == <section begin="technews-2026-W27"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/27|Translations]] are available. '''Updates for editors''' * As part of the [[mw:Special:MyLanguage/Contributors/Account Creation Experiments|Account Creation Experiments]], the Growth team tested adding a user account icon in the mobile web header for logged-out users, providing direct access to "Create account" and "Log in" actions. The experiment increased account creation by about 20% without negatively affecting edit quality or constructive edit rates. The feature will now be rolled out to all Wikimedia Foundation wikis on mobile web in the first week of July. [https://phabricator.wikimedia.org/T428220] * After a [[phab:T426248|successful experiment]], logged-in users who did not [[mw:Special:MyLanguage/Help:Email_confirmation|confirm their email address]] when their account was created see a new banner asking them to complete that process. This helps reduce the risk that users get locked out of their account, and makes account email addresses overall more reliable. This is part of the [[mw:Special:MyLanguage/Product Safety and Integrity/Account Security|Account Security]] project. [https://phabricator.wikimedia.org/T428292] * An update to [[Special:Search|Search]] is refining how the <bdi lang="zxx" dir="ltr"><code><nowiki>-prefix:</nowiki></code></bdi> behaves when used to exclude results. Previously, using <bdi lang="zxx" dir="ltr"><code><nowiki>-prefix:</nowiki></code></bdi> with negation could unintentionally broaden search results by adding the namespaces included in the search scope, leading to confusing behavior for users expecting a straightforward exclusion filter. With the update, <bdi lang="zxx" dir="ltr"><code><nowiki>-prefix:</nowiki></code></bdi> will now strictly exclude matching page titles as intended and may display a warning if the relevant namespace has not been explicitly selected. The behavior of <bdi lang="zxx" dir="ltr"><code><nowiki>prefix:</nowiki></code></bdi> without negation however remains unchanged. [https://phabricator.wikimedia.org/T427443] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:33}} community-submitted {{PLURAL:33|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where reviewers using the Page Curation toolbar were not automatically subscribed to talk page discussions they started has now been fixed. Reviewers will now receive notifications when someone replies to those discussions. [https://phabricator.wikimedia.org/T329346] '''Updates for technical contributors''' * Starting June 29th, automated downloads from the dumps.wikimedia.org website will be subject to the [[Foundation:Special:MyLanguage/Policy:Wikimedia Foundation User-Agent Policy|user-agent policy]]. Automated requests that provide a generic or empty user-agent will be blocked. Access to dumps through Wikimedia Cloud Services remains unaffected. This is a follow up to the announcement made in the [[m:Special:MyLanguage/Tech/News/2026/25|2026/25 issue of Tech News]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.9|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/27|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W27"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 11:48, 29 June 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30744833 --> == Tech News: 2026-28 == <section begin="technews-2026-W28"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/28|Translations]] are available. '''Updates for editors''' * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:34}} community-submitted {{PLURAL:34|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where the search bar results on Wikidata, showed English results instead of using the correct language fallback for users of language variants, has now been fixed. Search suggestions will now follow the expected language fallback chain. [https://phabricator.wikimedia.org/T429769] '''Updates for technical contributors''' * In preparation for [[m:Special:MyLanguage/Event:Celebrate Women|Celebrate Women campaign]] planned for March 2027, the Wikimedia Foundation’s [[m:Special:MyLanguage/Wikimedia Foundation/Advancement/Community Growth/Content Enablement|Content Enablement team]] has launched a 22-question survey to better understand technical contributions by women+ (anyone who identifies as a woman) across Wikimedia projects. The survey takes approximately 15–20 minutes to complete and will remain open until 20 July 2026. The [[m:Special:MyLanguage/Celebrate Women/Technical contributions survey|questions]] are also available on-wiki for review in advance. * The [[mw:Special:MyLanguage/Extension:Score|Score extension]] now supports rendering music scores as SVG images in addition to PNG, addressing a long-standing [[:phab:T49578|feature request]] and resolving historical image quality issues. Both formats are now provided to clients, with PNG in the <bdi lang="zxx" dir="ltr"><code><nowiki>src</nowiki></code></bdi> attribute and SVG in the <bdi lang="zxx" dir="ltr"><code><nowiki>srcset</nowiki></code></bdi> attribute. * The new [[wikitech:Parsoid|Parsoid]] parser [[mw:Special:MyLanguage/Parsoid/Parser_Unification/Updates|continues to be deployed to additional wikis]], making it easier to introduce new reading and editing features. It was enabled on French Wikipedia, bringing total progress to covering 78.9% of Wikipedia page views. Rollout to English Wikipedia desktop will progress through this week. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.10|MediaWiki]] '''In depth''' * The Wikimedia Hackathon 2026 [[diffblog:2026/06/29/wikimedia-hackathon-2026-building-collaborating-and-shaping-the-future-together/|recap blog post]] is now live. It highlights the projects, sessions, and social activities from this year’s event, and shares initial plans for the 2027 Wikimedia Hackathon. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/28|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W28"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 13:57, 6 July 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30773578 --> == Tech News: 2026-29 == <section begin="technews-2026-W29"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/29|Translations]] are available. '''Updates for editors''' * [[mw:Special:MyLanguage/Growth/Revise_Tone|Revise Tone]] helps newcomers identify passages in Wikipedia articles that may contain non-encyclopedic language and encourages them to consider revising the tone. The feature was [[w:en:A/B_testing|A/B tested]] on the Arabic, English, French, and Portuguese Wikipedias, where newcomer task completion rates [[mw:Special:MyLanguage/Growth/Revise_Tone#Experiment_Results|increased by 38.7%]] compared to the default Copyedit task, with no decrease in edit quality. The test ended on July 9, and the feature is now available for everyone on these wikis, configurable via Community Configuration. [[phab:T426364|The plan]] is to release Revise Tone to more wikis. * The community configuration that allows [[mw:Special:MyLanguage/Help:Growth/Mentorship#Automated mentor list cleanup|automatic removal of inactive mentors]] based on configurable criteria will be enabled on Thursday 16, [[mw:Special:MyLanguage/Growth/Deployment|on some wikis]] to keep mentor lists up to date. Mentors are experienced contributors who opt in to help new users on-wiki through the [[mw:Special:MyLanguage/Growth/Feature summary|Growth Features]]. Administrators can now prepare the settings via [[w:Special:CommunityConfiguration/Mentorship|Special:CommunityConfiguration/Mentorship]]; they will take effect starting Thursday. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:38}} community-submitted {{PLURAL:38|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where some users of the Wikipedia Android app were logged out immediately after signing in, preventing them from staying logged in and editing pages, has now been fixed. [https://phabricator.wikimedia.org/T316916] '''Updates for technical contributors''' * Editing a page via user scripts or gadgets was causing watchlist labels that the user had assigned to that page to reset. This has now been fixed. [https://phabricator.wikimedia.org/T423778] * To work around a Safari bug (see [[phab:T425211]]), on Parsoid-enabled wikis, wikilink hrefs now use absolute urls instead of protocol-relative urls. REST API output remains unchanged and continue to use protocol-relative urls. Gadgets, user scripts, bots, and CSS might need to be adapted if they relied on the presence of protocol-relative urls in wikilink hrefs. [https://phabricator.wikimedia.org/T431358] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.11|MediaWiki]] '''In depth''' * The Wikimedia Foundation’s Experiment Platform Team has published a blog post reflecting on its first year of structured experimentation. It highlights successful experiments such as Paste Check, Reference Check, and Tone Check, which improved editing outcomes and have been rolled out to more users, as well as experiments that did not lead to product changes. [[diffblog:2026/07/07/moving-the-needle-how-we-test-new-ideas-across-wikimedia-projects|Read more]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/29|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W29"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 16:11, 13 July 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30804401 --> == Tech News: 2026-31 == <section begin="technews-2026-W31"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/31|Translations]] are available. '''Updates for editors''' * [[File:Maki-gift-15.svg|12px|link=|class=skin-invert|Wishlist item]] [[mw:Special:MyLanguage/ContentTranslation|Content Translation]] now supports dark mode, fulfilling a [[m:Community Wishlist/W544|Community Wishlist request]]. This brings the tool in line with the accessibility features available in the Vector 2022 and Minerva skins, helping reduce visual fatigue for users translating content. [https://phabricator.wikimedia.org/T367077] * DiscussionTools' source mode and the 2017 wikitext editor will now offer autocomplete for links (<bdi lang="zxx" dir="ltr"><code><nowiki>[[</nowiki></code></bdi>), templates (<bdi lang="zxx" dir="ltr"><code><nowiki>{{</nowiki></code></bdi>), HTML and parser tags (<bdi lang="zxx" dir="ltr"><code><nowiki><</nowiki></code></bdi>), and magic words (<bdi lang="zxx" dir="ltr"><code><nowiki>__</nowiki></code></bdi>), making it quicker and easier to insert links, templates, and other wiki markup while editing. [https://phabricator.wikimedia.org/T432400] * The [[mw:Special:MyLanguage/Readers/Reader Growth/Mobile page previews|Readers Growth team]] has concluded its experiment with mobile page previews and will not roll out the feature. Page Previews are a pop-up bottom sheet that appears when readers tap a blue link, showing a thumbnail, lead paragraph, and an option to open the article. The experiment showed flat retention and negative indicator metrics, suggesting that mobile web readers preferred navigating directly to linked articles rather than using page previews. * The Reader Experience team has seen encouraging early results from the [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists feature]], with 93% of participating users reporting that it was useful. Reading Lists help active readers save articles for future reading and support their learning goals on Wikimedia projects. The team plans further improvements before expanding the feature to more users. * The [[mw:Special:MyLanguage/Wikimedia Apps/Team/Explore Feed Refresh|Explore Feed Refresh]] initiative was tested with new and casual Wikipedia app readers. The refreshed feed helps readers discover new and relevant content. After a 10.5% increase in engagement with the feed, Wikimedia Apps team has decided to scale the Home Feed redesign to iOS with the learnings from the Android release applied. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:23}} community-submitted {{PLURAL:23|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where subject names in the Article Guidance feature were displayed with incorrect capitalization on French Wikipedia, has now been fixed. Subject names will now follow the correct capitalization rules for the language. [https://phabricator.wikimedia.org/T427201] '''Updates for technical contributors''' * After running several [[mw:Special:MyLanguage/Contributors/Account Creation Experiments|Account Creation Experiments]] to improve registration completion rates, a new version of the username field on [[Special:CreateAccount|Create Account]] has been rolled out. It includes [[:c:File:Create account - July 2026 updates.png|a popover summarizing the username policy]] to provide clearer guidance during account creation. As part of this change, the messages <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-helpusername</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-help</nowiki></code></bdi> that several communities have configured will no longer be used. If communities want to customize the guidance shown in the new popover, they can instead edit the following messages: <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-policy-popover-bullet1</nowiki></code></bdi>, <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-policy-popover-bullet2</nowiki></code></bdi>, and <bdi lang="zxx" dir="ltr"><code><nowiki>createacct-username-policy-popover-bullet3</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T430604] * Later this week, the [[mw:Special:MyLanguage/Help:Extension:CodeMirror|CodeMirror syntax highlighter]] will offer [[w:en:Theme (computing)|themes]]. The themes can be picked from a dropdown menu in the full [[mw:Special:MyLanguage/Help:Extension:CodeMirror#CodeMirror preferences|CodeMirror preferences]] dialog. For wikitext, available themes are default, colorblind-friendly (previously the colorblind preference option on [[Special:Preferences#mw-prefsection-editing]]) and no-highlighting. For code languages (i.e., CSS/JavaScript/JSON/Vue/Lua), there are several themes available. These same themes will eventually be available for wikitext, too. [https://phabricator.wikimedia.org/T163533] * From now on, wikis can restrict editing in the "User" namespace to only the page owner and certain user groups. [[mw:Special:MyLanguage/Manual:$wgRestrictUserPageEditing|Read the configuration documentation]] to learn more. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.14|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/31|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W31"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:49, 27 July 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30856308 --> == Tech News: 2026-32 == <section begin="technews-2026-W32"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/32|Translations]] are available. '''Updates for editors''' * The [[mw:Special:MyLanguage/Readers/Reader Experience|Reader Experience team]] has developed a [https://82db7c8d4b.catalyst.wmcloud.org/w/index.php?title=Regent%27s_Park&uselang=de patch demo] that wraps the page toolbar onto two lines when there is not enough horizontal space for all the buttons. This aims to reduce crowding in the Vector 2022 toolbar, which can occur on some language Wikipedias at certain screen widths. [https://phabricator.wikimedia.org/T429518] * The Reader Experience team is planning to launch [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists]], a [[m:Special:MyLanguage/Community Wishlist Survey 2021/Mobile and apps/Have Apps reading lists available on Destop/Mobile|Community Wishlist item]], which is currently available to try in beta, as a full feature in September. Before then, volunteer translator help is needed for [https://translatewiki.net/w/i.php?title=Special%3ATranslate&group=ext-readinglists&filter=&action=translate string translations] into a number of languages. The feature supports reading and learning goals on Wikipedia. * Next week, the table of contents on Wikimedia Commons file pages will be improved by consolidating the file page table of contents with the page table of contents. This will make it easier to understand a file page’s structure, navigate to specific sections, and share links to individual sections. [https://phabricator.wikimedia.org/T332644] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:24}} community-submitted {{PLURAL:24|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where some [[w:TIFF|TIFF]] images failed to load after clicking their thumbnail, causing a broken image to be displayed instead of the full-size image, has now been fixed. [https://phabricator.wikimedia.org/T429326] '''Updates for technical contributors''' * The variable and function selector in AbuseFilter has been updated to support search and autocomplete. It will allow filter maintainers to find the desired variable or function more quickly. [https://phabricator.wikimedia.org/T323698] * The MJPEG and VP8 formats are removed from the video player. The MP4 format (MPEG-4 Part 2) is added instead, which provides higher quality videos to older iPhone devices. It may take a few weeks to retroactively update all existing videos. The default format for modern devices stays the same (VP9/WebM). [https://phabricator.wikimedia.org/T358266] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.15|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/32|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W32"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 19:46, 3 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30872536 --> == Tech News: 2026-33 == <section begin="technews-2026-W33"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/33|Translations]] are available. '''Updates for editors''' * [[File:Maki-gift-15.svg|12px|link=|class=skin-invert|Wishlist item]] A new ChartWizard is [[c:Special:ChartWizard/Data:Example.Pie.chart|now available on Wikimedia Commons]] for users interested in creating charts from their own data. The wizard makes the [[mw:Special:MyLanguage/Extension:Chart|Chart extension]] more beginner-friendly by allowing editors to create charts, such as bar and pie charts, without needing to use JSON. Users can still switch to the JSON editor if they prefer. Feedback on the new tool is welcome on the [[m:Talk:Community Wishlist/W414|wish talk page]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:19}} community-submitted {{PLURAL:19|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where the Wikipedia iOS app’s Picture of the Day widget displayed the same image every day instead of updating daily, has now been fixed. [https://phabricator.wikimedia.org/T430692] '''Updates for technical contributors''' * [[mw:Special:MyLanguage/Extension:Math|Math formula]] SVG images will soon be generated in the browser instead of on the server. MathML continues to be generated on the server and renders in the browser without JavaScript. Wikibooks will see this change on 12 August, Wikisource on 19 August and Wikipedia from 20-27 August. You can try this by selecting "{{int:Mw-math-mathjax}}" in your preferences. This change is part of [[mw:Special:MyLanguage/RESTBase/deprecation|deprecating RESTBase]] and [[phab:T431372|deprecating Mathoid]]. [https://phabricator.wikimedia.org/T271001] * Category pages will soon support sorting entries by the time they are added to a category. This will make it easier to find recently or long-standing categorized pages. It will also improve workflows for maintenance categories such as deletion backlogs and other time-based review tasks. You can use <bdi lang="zxx" dir="ltr"><code><nowiki>cldsort=timestamp</nowiki></code></bdi> URL argument in category view to sort the entries. [https://phabricator.wikimedia.org/T433768] * [[mw:Special:MyLanguage/Extension:Gadgets|Gadgets]] and user scripts on Wikimedia wikis may now use [[phab:T395347|ES2018 features]] and [[phab:T419142|ES2019 features]] in JavaScript code. Previously, the platform only allowed up to ES2017. MediaWiki validates the source code to protect functionality from syntax errors and to ensure scripts are valid in all [[mw:Special:MyLanguage/Compatibility#Browser_support_matrix|supported browsers]]. [https://phabricator.wikimedia.org/T419142] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.16|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/33|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W33"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:45, 10 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30901051 --> == Tech News: 2026-34 == <section begin="technews-2026-W34"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/34|Translations]] are available. '''Weekly highlight''' * The [[mw:Special:MyLanguage/Help:Extension:CampaignEvents/Registration/Worklist|Worklist feature]] for the Event Registration tool is now live on all Wikimedia wikis. With Worklist, event organizers can add the articles their event will focus on directly to the event page. The Worklist also powers [[mw:Special:MyLanguage/Help:Extension:CampaignEvents/Registration/Worklist#How Event Pathways uses the worklist|Event Pathways]] which notifies other editors of the upcoming or ongoing event when they edit an article featured in the event's Worklist. This is the minimum viable version (MVP), and feedback is welcome. Organizers are encouraged to try the feature. A hands-on [[m:Special:MyLanguage/Event:Worklist Setup Workshop: Get Your Event Ready|Worklist Setup Workshop]] will take place on 18 August at 16:00 UTC and 19 August at 11:00 UTC. '''Updates for editors''' * [[Special:ShortPages]] displays short pages by their size, but in many cases it gets filled with disambiguations and soft redirects, making it harder to find the short articles themselves. Starting this weekend, you will be able to choose not to include an article in the special page by adding the magic word <bdi lang="zxx" dir="ltr"><code><nowiki>__EXPECTSHORTPAGE__</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T433203] * One new wiki has been created: a {{int:project-localized-name-group-wikipedia/en}} in [[d:Q3436680|Bole]] ([[w:bol:|<bdi lang="zxx" dir="ltr"><code><nowiki>w:bol:</nowiki></code></bdi>]]) [https://phabricator.wikimedia.org/T429921] * Starting the week of August 17, the page toolbar will wrap onto two lines when there is not enough horizontal space for all the buttons. This is a [[phab:T429518|fully merged patch from the Reader Experience team]] which aims to reduce crowding in the Vector 2022 toolbar, that may occur on some language Wikipedias at certain screen widths. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:16}} community-submitted {{PLURAL:16|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, uploading large files to Wikimedia Commons has become more stable and less prone to failure following some fixes related to the “Could not acquire lock” upload error. [https://phabricator.wikimedia.org/T386640] '''Updates for technical contributors''' * Debian Bullseye will reach the end of its Long Term Support on 31 August 2026. [[phab:T434103|Some Cloud VPS projects]] still have instances running Debian Bullseye. Maintainers of those projects are encouraged to migrate to Debian Bookworm or Debian Trixie. A [[wikitech:Help:Cloud VPS instance operating system migration|migration guide]] is available to help with the process, and users may also want to consider whether their workload is better suited to Toolforge. If you need help or cannot complete the migration by 31 August, please contact the Cloud VPS admins as soon as possible. [[listarchive:list/cloud-announce@lists.wikimedia.org/thread/RVIPQSYLKMSL5M46JP6NEJVGVE6I2RXQ/|Read more]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.16|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/34|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W34"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 21:03, 17 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30922806 --> == Tech News: 2026-35 == <section begin="technews-2026-W35"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/35|Translations]] are available. '''Updates for editors''' * The [[Special:CreateAccount|Special:CreateAccount]] page has been simplified as part of ongoing work to modernize the account creation experience. The panel showing project statistics no longer appears next to the form on desktop and mobile web. Multiple account creation experiments show that a simpler form helps newcomers complete registration. [https://phabricator.wikimedia.org/T433783] * In order to improve page performance, images now load when they are viewed. This means images lower down an article will not load if a reader never scrolls to that part of the page, which may affect some image-related metrics. [https://phabricator.wikimedia.org/T148047] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:42}} community-submitted {{PLURAL:42|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where image thumbnails in Abstract Wikipedia could fail to display after the corresponding file was moved on Wikimedia Commons, has now been fixed. Thumbnails will now update correctly when files are moved. [https://phabricator.wikimedia.org/T433448] '''Updates for technical contributors''' * User Info card is a feature that helps patrollers see information about user accounts. So far, it has been available only in places such as page history, logs and recent changes. Now, it's possible to [[mw:Special:MyLanguage/Help:Extension:CheckUser#User_Info_card_in_page_content|place it in the page content]] as well, using the <bdi lang="zxx" dir="ltr"><code><nowiki>{{#uic:}}</nowiki></code></bdi> parser function. It can be particularly useful in templates like [[:en:Template:Userlinks|<bdi lang="zxx" dir="ltr"><code><nowiki>{{Userlinks}}</nowiki></code></bdi>]] (or their specialized variants), as it will make it easier to see the context about a user on various noticeboard pages. The card will be displayed only to users who have it enabled in their [[Special:Preferences#mw-input-wpcheckuser-userinfocard-enable|preferences]]. [https://phabricator.wikimedia.org/T424466] * Due to user security and privacy risks, we have disabled access to <bdi lang="zxx" dir="ltr"><code><nowiki>Special:MyPage</nowiki></code></bdi> URLs when specifically using <bdi lang="zxx" dir="ltr"><code><nowiki>action=raw</nowiki></code></bdi>. If you are impacted by this, consider whether you can use an alternative approach. <bdi lang="zxx" dir="ltr"><code><nowiki>Special:MyPage</nowiki></code></bdi> URLs can still be accessed and used without <bdi lang="zxx" dir="ltr"><code><nowiki>action=raw</nowiki></code></bdi>. Specified user page URLs (e.g. <bdi lang="zxx" dir="ltr"><code><nowiki>User:Myusername</nowiki></code></bdi>) can still be used with <bdi lang="zxx" dir="ltr"><code><nowiki>action=raw</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T120386] * Due to an update, the thumbnailing software has been improved. This includes upgrading <bdi lang="zxx" dir="ltr"><code><nowiki>librsvg</nowiki></code></bdi> to 2.60 and <bdi lang="zxx" dir="ltr"><code><nowiki>ImageMagick</nowiki></code></bdi> to 7, as well as resolving a number of long-standing thumbnailing bugs like rendering errors. [https://phabricator.wikimedia.org/T419815#12222841] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.17|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/35|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W35"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:45, 24 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30961208 --> == Tech News: 2026-36 == <section begin="technews-2026-W36"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/36|Translations]] are available. '''Weekly highlight''' * A new format for the Community Wishlist is open for feedback. You can [[m:Special:MyLanguage/Community Wishlist/Community Wishlist 2027|read the proposed ideas on Meta]]. This new process plans to improve how wishes are triaged, voted on, and prioritized in a way that is transparent and balanced across project families and language editions. This consultation is open for two weeks. '''Updates for editors''' * The latest release of the Wikipedia Android app includes updates to the Saved feature, bringing the app’s saving experience closer to iOS and Web. The update redesigns the Saved tab with an “All articles” view, removes the default “Saved” reading list, renames reading lists to “Collections,” and modernizes the article-saving experience. [https://phabricator.wikimedia.org/T420788] * The [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists]] feature was enabled for all logged-in users on Bengali, Chinese, Czech and Vietnamese Wikipedias on August 25, after several months as a beta feature. Reading Lists will be available to all logged-in users on Arabic, French and Indonesian Wikipedias on September 1, followed by English Wikipedia on September 14, and all other Wikipedia wikis on September 28. * At the end of the month, some logged-out readers on Bengali, Czech, Persian, English, and Polish Wikipedias using the Minerva skin on mobile will see an [[mw:Special:MyLanguage/Readers/Reader_Growth/Minimal_Minerva|updated navigation bar]] in an [[w:A/B test|A/B test]]. The test will compare the current navigation bar with a new version designed to make it easier to find information more quickly. The goal is to determine whether these changes encourage readers to return more often. This experiment will not change the experience for logged-in readers and/or editors. * Editors who maintain redirects, templates, and categories used on redirect pages now have improved ways for finding and curating redirects. Previously, redirects pages could not be searched. Two new search keywords, <bdi lang="zxx" dir="ltr"><code><nowiki>onlyredirects:</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>withredirects:</nowiki></code></bdi>, now allow redirects to be searched directly and can be combined with existing keywords such as <bdi lang="zxx" dir="ltr"><code><nowiki>incategory:</nowiki></code></bdi>, <bdi lang="zxx" dir="ltr"><code><nowiki>intitle:</nowiki></code></bdi>, and <bdi lang="zxx" dir="ltr"><code><nowiki>insource:</nowiki></code></bdi>. [https://phabricator.wikimedia.org/T204089] * The ISBN lookup tools for generating citations were recently not working because of external service problems. Developers are working on solutions. [https://phabricator.wikimedia.org/T435179] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:30}} community-submitted {{PLURAL:30|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where searching for pages by category using <bdi lang="zxx" dir="ltr"><code><nowiki>deepcat</nowiki></code></bdi> could return no results or unrelated results has now been fixed. [https://phabricator.wikimedia.org/T414859] '''Updates for technical contributors''' * The domain of URLs for thumbnails is changing from upload.wikimedia.org to thumb.wikimedia.org. The old URLs will continue to work for the foreseeable future but MediaWiki will advertise the new domain instead. URLs to other types of media such as original files, videos and transcodes will still be served from upload.wikimedia.org. [https://phabricator.wikimedia.org/T427465] * The Wikimedia [https://www.mediawiki.org/w/index.php?api=wmf-math%2Fv1&title=Special%3ARestSandbox Math API] is now deprecated. These endpoints will be fully sunset by the end of September 2026. Developers who call these endpoints should transition to alternative math rendering solutions, such as the native [https://developer.mozilla.org/en-US/docs/Web/MathML MathML] or [https://www.mathjax.org/ MathJax]. Third-party MediaWiki installations that utilize the Math extension for formula rendering are required to upgrade to v1.43+ to avoid disruption of service. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.18|MediaWiki]] '''In depth''' * Read more about [[mw:Special:MyLanguage/Edit_check/TextMatch|TextMatch]] in a Diff post titled, [[diffblog:2026/08/28/custom-edit-suggestions-for-every-wiki-how-communities-are-shaping-suggestion-mode-with-textmatch/|Custom edit suggestions for every wiki: How communities are shaping Suggestion Mode with TextMatch]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/36|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W36"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 20:53, 31 August 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=30990659 --> == Tech News: 2026-37 == <section begin="technews-2026-W37"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/37|Translations]] are available. '''Updates for editors''' * [[mw:Special:MyLanguage/Help:Growth/Tools/Add_a_link|Add a Link]] has been upgraded for English Wikipedia users with improved detection of links that have different capitalization. This will help reduce ambiguous suggestions caused by differences in capitalization in article titles, including articles about cultural goods. A second phase of improvements is planned, which will also prepare the feature for release in other languages. [https://phabricator.wikimedia.org/T435526#12240876] [https://phabricator.wikimedia.org/T434259] * The [[mw:Special:MyLanguage/Article_guidance|Article guidance]] feature will be enabled by default for junior editors on Simple English and Turkish Wikipedia starting 10 September 2026 following [[mw:Special:MyLanguage/Article_guidance/Updates#Summary_of_experiment_result|an experiment]]. Junior editors with 0 to 99 edits will automatically see the feature when they click a red link or use the "[[tr:Vikipedi:Madde_sihirbazı|Madde oluşturto]]" option on Turkish Wikipedia to create a new article. The change is intended to help junior editors create higher-quality articles that meet each Wikipedia’s standards. [[phab:maniphest/query/z3tcTjmLMxk5/#R|Additional improvements]] will continue based on the experiment results and community feedback. * The [https://pageviews.wmcloud.org Pageviews Analysis] tool which allows users to compare pageviews across multiple pages, turns 10 years old this year and several new features have been added. They include [[toolforge:wikinav|WikiNav]] which provides insights into how readers of Wikipedia explore the content, editing stats in [https://pageviews.wmcloud.org/siteviews?range=latest-30&sites=en.wikipedia.org Siteviews], the ability to [https://pageviews.wmcloud.org/massviews?source=wikiproject&project=en.wikipedia.org lookup articles belonging to a WikiProject], and support for dark mode. [https://phabricator.wikimedia.org/T378549] * A [[mw:Special:MyLanguage/Readers/Reader_Growth/Minimal_Minerva|visually simplified Minerva]] navigation bar is being tested for logged-out readers using mobile web on the Bengali, Czech, English, Farsi, and Polish Wikipedias. The experiment aims to determine whether simplifying the navigation improves reader retention. The test will run from August 31 to September 28, and no action is required from users. * [[m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]] is working on improving [[en:Wikipedia:VisualEditor/Named references|auto-generated reference names in VisualEditor]]. Editors will only notice a slight change starting this week. When adding automatic reference names the numbering will start at <bdi lang="zxx" dir="ltr"><code><nowiki>:1</nowiki></code></bdi> instead of <bdi lang="zxx" dir="ltr"><code><nowiki>:0</nowiki></code></bdi>. Read more on the [[m:WMDE Technical Wishes/References/VisualEditor automatic reference names|project page]]. [https://gerrit.wikimedia.org/r/c/VisualEditor/VisualEditor/+/1332704] * All wikis will be [[m:Special:MyLanguage/Tech/Server switch|read-only for a few minutes]] on September 23. This is planned at 14:00 UTC. More information will be published in Tech News and will also be posted on individual wikis in the coming weeks. [https://phabricator.wikimedia.org/T433363] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:25}} community-submitted {{PLURAL:25|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where [[mw:Special:MyLanguage/Parsoid|Parsoid]] could mishandle nested nowiki tags, causing content to be lost and displaying unwanted text has now been fixed. [https://phabricator.wikimedia.org/T435116] '''Updates for technical contributors''' * Interface administrators can configure gadgets from [[MediaWiki:Gadgets-definition]]. The definition format has been updated and no longer requires the <bdi lang="zxx" dir="ltr"><code><nowiki>ResourceLoader</nowiki></code></bdi> option, as gadgets are always loaded through <bdi lang="zxx" dir="ltr"><code><nowiki>ResourceLoader</nowiki></code></bdi>. This simplifies gadget configuration by removing an option that is no longer necessary, making gadget definitions easier for administrators. [https://phabricator.wikimedia.org/T298199] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.19|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/37|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W37"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:44, 7 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31008437 --> == Tech News: 2026-38 == <section begin="technews-2026-W38"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/38|Translations]] are available. '''Weekly highlight''' * The Future Audiences team has started a [[en:Special:MyLanguage/Wikipedia:Village pump (proposals)#New proposed experiment to let readers know about “Google preferred sources”|discussion on English Wikipedia]] about a proposed new experiment to show a temporary notice about the new [https://blog.google/products-and-platforms/products/search/original-high-quality-content-search/ Google Preferred Sources] feature to Wikipedia readers coming from Google. The experiment is to test whether this notice makes visitors come back to Wikipedia more often. Preferred Sources feature lets users choose websites they trust so Google can highlight content from those sources more prominently in Search and AI experiences. We are interested in testing this on other languages that Google supports and would welcome assistance with starting conversations on other wikis. If interested, please reach out to Future Audiences on the [[m:Special:MyLanguage/Future Audiences/Preferred sources|talk page]]. '''Updates for editors''' * The chat platform Discord is releasing a new self-service framework that websites can use to specify how their links should look when shared on Discord. The Future Audiences team is planning to start using this new framework to improve how Wikipedia links look when shared on Discord, giving better attribution and credit to contributors. The link appearance and behavior won't change in the first phase of this project as we want to first collect some baseline data to assess the impact of future changes. However, if community members who are active on Discord spot any issues, they can reach out on [[phab:tag/future-audiences/|Phabricator]] or [[m:Special:MyLanguage/Future Audiences|Metawiki]]. * The Reader Growth team will be running an experiment to test whether [[mw:Special:MyLanguage/Readers/Reader_Growth/Compact Lead|compacting article lead sections on mobiles]] with the addition of a "read more" button improves reader retention. The test will begin on September 17 on Arabic, Spanish, French, Indonesian, Italian, Japanese, Portuguese, Vietnamese, and Chinese Wikipedias and will run for four weeks. * All wikis will be [[m:Special:MyLanguage/Tech/Server switch|read-only for a few minutes]] on September 23. This is planned at 14:00 UTC. More information will be published in Tech News and will also be posted on individual wikis in the coming week. [https://phabricator.wikimedia.org/T433363] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where [https://wikistats.wmcloud.org/ Wikistats] for Wikipedias was returning an HTTP 500 error and could not be reached, has now been fixed. [https://phabricator.wikimedia.org/T435959] '''Updates for technical contributors''' * Developers who maintain a tool that queries the Wikimedia Commons links tables need to update their code to connect to the new x4 database cluster. The links tables have been moved from the s4 cluster to x4, and will no longer receive updates on s4. The page and redirect tables remain available on both clusters. A wiki replica for the x4 cluster will be set up afterwards. The change is being made because the s4 cluster has grown too large to operate efficiently. You can [[wikitech:Special:MyLanguage/News/2026 Commons links tables database split|read more]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.20|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/38|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W38"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 15:31, 14 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31039826 --> == Tech News: 2026-39 == <section begin="technews-2026-W39"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/39|Translations]] are available. '''Weekly highlight''' * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on Wednesday, 23 September 2026 at [https://zonestamp.toolforge.org/1790172000 14:00 UTC]. This is for the datacenter server switchover backup tests, [[wikitech:Special:MyLanguage/Deployments/Yearly calendar|which happen twice a year]]. During the switchover, all Wikimedia website traffic is shifted from one primary data center to the backup data center to test availability and prevent service disruption even in emergencies. [https://phabricator.wikimedia.org/T433363] '''Updates for editors''' * The Growth team tested a new post-edit notice designed to [[mw:Special:MyLanguage/Contributors/Account Creation Experiments#4. Encourage Temporary Accounts to Register|encourage Temporary Account holders to register for a permanent account]]. The new notice replaced multiple dialogs and a simultaneous welcome notification with a single message highlighting the benefits of creating an account. The experiment increased permanent account creation from 1.94% to 3.66%, an 87% relative increase. The change will now be released to all wikis. [https://phabricator.wikimedia.org/T433551] * For Wikipedia editors using the [[Special:Preferences#mw-prefsection-betafeatures|"Suggestion mode" Beta Feature]], there is a [[Special:Preferences#mw-input-wpvisualeditor-editcheck-experimental|new opt-in user preference]] for showing "experimental" edit checks and suggestions. These types are listed at [[Special:EditChecks#experimental-checks|Special:EditChecks]], and are intended for early developer-testing and for gathering feedback from experienced users. Administrators can change the [[mw:Special:MyLanguage/Edit check/Configuration|configuration details]] for each suggestion as usual. Administrators can also [[mw:Special:MyLanguage/Help:Suggestion mode#Experimental Suggestions|use this feature]] to help test their community's ideas for locally created checks and suggestions. Experimental types will have a more distinct visual style later this week. [[mw:Talk:VisualEditor/Suggestion Mode|Feedback is welcome]]. * The [[m:CEE Technical Village Pump|CEE Technical Village Pump]] has been launched as a space for technical discussions and collaboration among Wikimedia communities in Central and Eastern Europe. * A new tool, [[mw:Special:MyLanguage/Language Onboarding and Development/Starter kit|Starter Kit]], is now available for new and small language Wikipedia communities. It brings together guided tasks, tools, and resources to help communities get started, monitor their progress, and collaborate with the broader Wikimedia community. Starter Kit is hosted on Wikimedia Toolforge and is designed for Wikipedias with fewer than 50,000 articles. Learn more about how Starter Kit works and how communities have been using it in [[diffblog:2026/09/18/introducing-starter-kit-for-new-and-small-language-wikipedias/|this Diff blog post]]. * The Reader Growth team is launching a retest of the [[mw:Special:MyLanguage/Readers/Reader Growth/Image Browsing|image carousel experiment]]. The retest will use three new versions of the design, updated based on community feedback. The team will assess results and determine with communities whether or not to proceed with the feature. The experiment will begin the week of September 28 and will run on Arabic, Bengali, Chinese, Czech, English, Farsi, French, German, Indonesian, Japanese, Polish, Portuguese, Spanish, Swedish, and Vietnamese Wikipedias. * After successful rollouts to Arabic, Bengali, Chinese, Czech, English, French, Indonesian, and Vietnamese Wikipedias, the [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|Reading Lists feature]] from the Reader Experience team will be available to all logged-in users on all Wikipedia wikis starting September 28. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where the mentor status script repeatedly updated mentors’ status even when nothing had changed, creating unnecessary Recent Changes entries, has now been fixed. [https://phabricator.wikimedia.org/T436659] '''Updates for technical contributors''' * The <bdi lang="zxx" dir="ltr"><code><nowiki>abusefilters</nowiki></code></bdi> list query API, used to retrieve specific details about active or historical abuse filters configured on a wiki, has been updated to support the <bdi lang="zxx" dir="ltr"><code><nowiki>formatversion=2</nowiki></code></bdi> configuration parameter, thereby leading to breaking changes to the API response. All users who maintain user-scripts or other code need to check if they use the <bdi lang="zxx" dir="ltr"><code><nowiki>abusefilters</nowiki></code></bdi> list query API, and respond to any breaking changes. [https://phabricator.wikimedia.org/T435828] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.21|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/39|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W39"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 11:56, 27 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31085309 --> == Tech News: 2026-40 == <section begin="technews-2026-W40"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/40|Translations]] are available. '''Updates for editors''' * Users of default skins on desktop and mobile web (Vector 2022 and Minerva respectively) will now be informed if the search suggestions displayed as they type into Search come from page redirects. Previously, users could get confused when the top search suggestions did not match exactly what they had typed. The new redirect notice clarifies that these suggestions are not random, but related to the search. The suggested pages may be redirects to the most relevant destination articles being searched for. [https://phabricator.wikimedia.org/T303013] * Logged-out Wikipedia users on mobile web will begin to see a bookmark button for saving articles to their [[mw:Special:MyLanguage/Readers/Reader Experience/Reading lists|reading lists]] instead of the current Watchstar button. When clicked, the bookmark button prompts users to log in or create an account to save an article for later. An earlier experiment found that the bookmark icon was four times more likely than the Watchstar button to encourage logged-out users to create an account. This change is part of efforts to encourage more readers to become account holders and use features that help them save and return to content. [https://phabricator.wikimedia.org/T438769] * An experiment will begin on September 29 on Spanish, Arabic, English, and French Wikipedias to simplify the experience users encounter immediately after account creation. The test will explore whether removing friction from the current Welcome Survey helps new users understand what to do next more easily. The experiment will run through the end of October. [https://phabricator.wikimedia.org/T430058] * The [[m:Special:MyLanguage/Product and Technology Advisory Council|Product and Technology Advisory Council]] has put out a call for the community to suggest topics that it should consider and discuss with the Wikimedia Foundation. Editors and technical contributors are invited to add topics to [[m:Talk:Product and Technology Advisory Council|the council's talk page]]. * Later this week, it will be possible for communities to configure [[mw:Special:MyLanguage/Help:Edit check|Edit Checks and Suggestions]] so that they are [[mw:Special:MyLanguage/Edit check/Configuration#extraNamespaces|shown within additional namespaces]], such as a <bdi lang="zxx" dir="ltr"><code><nowiki>Draft:</nowiki></code></bdi> namespace. [[mw:Talk:VisualEditor/Suggestion Mode|Feedback is welcome]]. * A bug in the [[m:Special:GlobalWatchlist|Global Watchlist]] is causing the page to fail to load for users that have unseen changes on Wikimedia Commons. Developers are working on a fix. Until then, affected users can follow the workarounds described in the [[mw:Special:MyLanguage/Extension:GlobalWatchlist#GlobalWatchlist temporarily broken for users with Wikimedia Commons|relevant]] help section. * New magic words <bdi lang="zxx" dir="ltr"><code><nowiki>{{CATEGORYSORT:TIMESTAMP}}</nowiki></code></bdi> and <bdi lang="zxx" dir="ltr"><code><nowiki>{{CATEGORYSORT:RTIMESTAMP}}</nowiki></code></bdi> are now available for use. They are able to change the default sorting of categories to be based on timestamp of categorization. [https://phabricator.wikimedia.org/T433768] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:20}} community-submitted {{PLURAL:20|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where [https://wikistats.wmcloud.org/ Wikistats] for Wikipedias was not reachable has now been fixed. [https://phabricator.wikimedia.org/T435959] '''Updates for technical contributors''' * The datacenter switchover, scheduled on September 23, has been postponed. [[diffblog:2025/03/12/hear-that-the-wikis-go-silent-twice-a-year/|The equinox exercise]] revealed capacity issues, preventing the switch of all services to the other datacenter. The process has been paused, prioritizing investigating that issue, to ensure that we continue to be able to serve our users reliably. A new exercise will be scheduled. Meanwhile, all traffic and edits continue to work as usual. * On September 23, a power loss briefly affected all wikis, creating intermittent issues on both reading and editing modes. This also affected Gerrit. This is unrelated to the datacenter switchover postponement. [https://www.wikimediastatus.net/incidents/9fm19t8qykk8] * [[mw:Special:MyLanguage/Help:Extension:Produnto|Produnto]] has been deployed to mediawiki.org and [[phab:T421436|some Indic language wikis]]. We want to hear your feedback on this experimental product. Produnto allows users to use Lua modules hosted in [[gitlab:repos/lua|Wikimedia's GitLab]]. It simplifies the sharing of Lua code between wikis. Instead of copying each individual Lua module from one wiki to another, users will be able to easily share packages across all wikis. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.22|MediaWiki]] '''Meetings and events''' * A [[m:Event:Cross-wiki Code Collaboration Workshop|Cross-wiki code collaboration workshop]] will be held online on October 2 at 12:30 UTC, bringing together South Asian technical contributors to learn about Produnto and begin piloting it on Hindi, Punjabi, Odia, Telugu, and Malayalam Wikipedias. Produnto is a package manager for deploying Lua modules hosted on GitLab to Wikimedia wikis, and was recently deployed on some pilot wikis. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/40|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W40"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 10:49, 28 September 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31092225 --> == Tech News: 2026-41 == <section begin="technews-2026-W41"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/41|Translations]] are available. '''Weekly highlight''' * The process for this year’s Community Wishlist [[m:Special:MyLanguage/Community Wishlist/Community Wishlist 2027#Updated Community Wishlist Process 2027/2028|has been published]], incorporating community feedback. The wish submission process will [[m:Special:MyLanguage/Community Wishlist/FAQ#What is the deadline for submitting wishes?|end on November 8]]. This year, [[m:Special:MyLanguage/Community Wishlist/Community Wishlist 2027/Working group|a working group (open for volunteering)]] that includes community members familiar with the technical aspect of our wikis alongside Wikimedia Foundation staff, will take care of the [[m:Special:MyLanguage/Community Wishlist/FAQ#What is triage?|triage process]]. The triage is expected to be completed by late November. Votes for wishes will start in January. '''Updates for editors''' * Editors using the [[mw:Special:MyLanguage/VisualEditor|visual editor]] will now see a warning when they paste text that is likely to have initially been copied from one of five external generative AI chatbots into Wikipedia. This feature is known as [[mw:Special:MyLanguage/Edit check/LLM Paste Check|LLM Paste Check]]. It is a type of [[mw:Special:MyLanguage/Edit check|Edit Check]] that is community configurable. The check looks for markers in the copied HTML and is not using content watermark detection. Edits will also [[mw:Special:MyLanguage/Edit check/LLM Paste Check#Edit tags|be tagged]] so that patrollers can review them more closely. The feature helps newcomers add content that respects Wikipedia’s policies and makes it easier for experienced editors to identify problematic edits. Communities with local policies about LLM usage can [[mw:Special:MyLanguage/Edit check/LLM Paste Check#Configuration|adjust the wording and policy that is linked]]. The team [[listarchive:list/translators-l@lists.wikimedia.org/message/EVHKWJ4IERZELMPIWNH3XUVUSQV5KOO4/|apologizes]] that this was rolled out without a delay for translations. * Editors can now easily [[mw:Special:MyLanguage/Wikimedia Apps/Team/Future of Editing on the Mobile Apps|access the web visual editor directly from the iOS and Android apps]]. When opening the editor, users will be given a choice between visual editing and source editing. If they choose visual editing, they will be sent to a mobile web window in their phone's browser. After completing their edit, a banner will give them the option to return to the app. This enables readers to make quick contributions while casually reading. * Users of the Wikipedia Android and iOS apps will now see a one-time account creation prompt after they have used the app for two consecutive weeks. This prompt explains the benefits of having an account. It is intended to help more casual readers become logged-in users who return to the apps regularly. [https://phabricator.wikimedia.org/T434847] * Editors on [[wmnoc:conf/dblists/group1.dblist|group1 wikis]], including Wikiquote, Wikibooks, Wikiversity, Wikivoyage, and Wikisource, will no longer see notifications on [[mw:Special:MyLanguage/Help:Recent changes|Recent Changes]] and [[mw:Special:MyLanguage/Help: Watching pages|Watchlist]] when a link to another language version of a page is added, removed, or changed in its Wikidata item. This change will begin on October 5 at 07:00 UTC as a two-week trial to reduce high-volume, low-value notifications and make important changes easier to identify. Editors who rely on these notifications can read more on the [[m:Wikidata For Wikimedia Projects/Clearer Wikidata Edit Summaries/Hide Language Link edits|project page]] and share feedback or concerns on the [[m:Talk:Wikidata_For_Wikimedia_Projects/Clearer_Wikidata_Edit_Summaries/Hide_Language_Link_edits|talk page]]. [https://phabricator.wikimedia.org/T439415] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:36}} community-submitted {{PLURAL:36|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where mentors who removed themselves from the mentorship program could still have mentees assigned to them and receive questions, has now been fixed. Mentees will now be reassigned when a mentor leaves the program. [https://phabricator.wikimedia.org/T418194] '''Updates for technical contributors''' * Wikimedia Brasil has published its [[m:Special:MyLanguage/Wikimedia Brasil/Arcabouço de Boas Práticas de Desenvolvimento|Development Best Practices Framework]] (ABPD). It is a guide for staff, contractors and volunteers building technical tools and projects. It covers the project lifecycle, security, accessibility, personal data protection and responsible AI use, and explains how movement-wide guidelines were adapted to a local context. They encourage other affiliates to reuse it and adapt it. Read more in the [[wmfblog:2026/09/26/wikimedia-brasils-development-best-practices-framework-technical-sustainability-as-an-organizational-responsibility|Diff post]]. * A new, canonical base URL for Wikimedia APIs will soon be introduced. The new canonical route follows a <bdi lang="zxx" dir="ltr"><code><nowiki>{projectName}/api/</nowiki></code></bdi> pattern and will act as an alternative path for current REST APIs (for example: <bdi lang="zxx" dir="ltr"><code><nowiki>{projectName}/w/rest.php/</nowiki></code></bdi>). Both versions will be callable for all existing APIs, but the new structure will be the preferred path for newly created API modules. This change will be non-breaking for most users. The existing pathways will remain available for all existing endpoint requests. However, some endpoints may return URLs following the new pattern in response bodies. Changes will be available on test wiki first, with the rollout expected to cover all wikis by the end of October. [https://phabricator.wikimedia.org/T433535] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.23|MediaWiki]]. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/41|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W41"/> 18:52, 5 October 2026 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31098825 --> == Tech News: 2026-42 == <section begin="technews-2026-W42"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/42|Translations]] are available. '''Weekly highlight''' * Starting October 13, wikis can change the default pattern for [[:en:Wikipedia:VisualEditor/Named references|auto-generated reference names in VisualEditor]] (currently <syntaxhighlight lang="wikitext" inline><ref name=":1" /></syntaxhighlight>). They will be able to use human-readable, content-based reference names that are more helpful to contributors using the source editor (e.g. <syntaxhighlight lang="wikitext" inline><ref name="Miller2026-1" /></syntaxhighlight>). VisualEditor reference name patterns can be defined using MediaWiki system messages, JSON, templates and modules ([[:mw:Special:MyLanguage/Help:Cite/VisualEditor reference names|more information]]). Admins can enable these changes via [[Special:CommunityConfiguration/Cite-VisualEditor-Autonames|community configuration]]. This is a [[:m:Special:MyLanguage/Community_Wishlist/W17|community wish]] implemented by [[:m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]]. [https://phabricator.wikimedia.org/T436255] * [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing|Sub-referencing]] is a new MediaWiki feature that allows editors to reuse references with different details. It will be deployed to English Wikipedia on October 14 and to remaining Wikimedia Foundation wikis by end of October (likely October 21). The [[m:Special:MyLanguage/WMDE Technical Wishes/Sub-referencing#deployment|FAQ]] lists possible actions to take on your wiki to support the deployment. This is a [[:m:WMDE Technical Wishes/Sub-referencing/History|long-standing community wish]] implemented by [[:m:Special:MyLanguage/WMDE Technical Wishes|WMDE Technical Wishes]]. [https://phabricator.wikimedia.org/T440243][https://phabricator.wikimedia.org/T440304] '''Updates for editors''' * [[mw:Special:MyLanguage/Moderator Tools|Moderator Tools]] will be removing the list view of the Watchlist and defaulting everyone to the changelog view. Previously, there were two versions of how the Watchlist is shown to mobile web users: the list view, where editors could see watched articles in a list format, and the changelog view, where editors could see changes to watched articles in a log format, controlled by a user's Advanced Mobile Control settings. This has created issues for code-base maintenance: two different displays means two sets of code to manage. By defaulting to the changelog view, we are simplifying the codebase and avoiding the likelihood of missing bugs. * The Wikipedia Android app is testing a way to listen to article introductions in the “For you” feed. A text-to-speech model reads the existing article text aloud without rewriting it or adding any content. The 30-day experiment will begin in the Wikipedia Beta app during the third week of September, then move to the regular Wikipedia Android app in October for a limited group of eligible users. A small portion of app users (those with English feeds and at least one topic interest) will have access to the feature. This experiment is part of broader efforts to give app readers options in how they consume content in order to deepen engagement and user retention. [[mw:Special:MyLanguage/Readers/Listening to Wikipedia/Phase 1|Learn more]] and [[mw:Talk:Readers/Listening to Wikipedia|share feedback]]. * [[mw:Special:MyLanguage/Help:Extension:CodeMirror|CodeMirror syntax highlighting]] was [[phab:T288161|enabled]] by default for all logged out and newly registered users on the English Wikipedia on September 14. With no signs of adverse effects, the same change is being proposed to be made globally across all wikis in a few weeks. If you have concerns or feedback, or if your wiki would like to opt out, [[mw:Special:MyLanguage/Help talk:Extension:CodeMirror#Enabling CodeMirror by default on all WMF wikis for newbies|please see the help page]]. [https://phabricator.wikimedia.org/T440077] * [[d:Wikidata:Usability_and_usefulness/Item_editing_experience/Mobile_editing_of_statements|Wikidata mobile statement editing]] of all datatypes will be officially launched on October 13, when it will be removed from Wikidata [[d:Special:Preferences#mw-prefsection-betafeatures|beta features]] and become available to all editors. Users can [[d:Wikidata_talk:Usability_and_usefulness/Item_editing_experience/Mobile_editing_of_statements|report bugs and share feedback]]. * Last week, language link changes were removed from [[Special:RecentChanges|Recent Changes]] and [[Special:Watchlist|Watchlist]] feeds on Wikivoyage, Wikisource, Wikiversity, Wikiquote and Wiktionary. As no adverse effects have been observed, the [[m:Wikidata_For_Wikimedia_Projects|Wikidata For Wikimedia Projects]] plans to roll out this change globally to all Wikipedias. This is scheduled for October 13 at 07:00 UTC, after which editors will no longer see when a link to ''another'' language version of a page is added, removed, or changed in its Wikidata item. Editors who rely on these notifications can read more on the [[m:Wikidata For Wikimedia Projects/Clearer Wikidata Edit Summaries/Hide Language Link edits|project page]] and share feedback or ask to opt out their wiki on the [[m:Talk:Wikidata_For_Wikimedia_Projects/Clearer_Wikidata_Edit_Summaries/Hide_Language_Link_edits|talk page]]. [https://phabricator.wikimedia.org/T440698] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:28}} community-submitted {{PLURAL:28|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where accidentally touching the graph while scrolling on the Pageviews tool on mobile could unintentionally zoom in has now been fixed. Click-and-drag zoom is now disabled on touch devices. [https://phabricator.wikimedia.org/T440075] '''Updates for technical contributors''' * There are three major changes coming to dumps: the legacy content dumps [https://lists.wikimedia.org/hyperkitty/list/xmldatadumps-l@lists.wikimedia.org/thread/E6D5EU4PMSTSOI2J7A46HJ3YW2W554CS/ deprecated in January 2026] will now be sunset, the replacement [https://wikitech.wikimedia.org/wiki/MediaWiki_Content_File_Exports MediaWiki Content File Exports] will be delayed to implement a “safety buffer”, and they are now also available as 7zip-compressed files. Users will need to switch the URL they download their dump from. For more information, timeline and migration instructions, see [https://wikitech.wikimedia.org/wiki/Legacy_content_dumps_sunset Legacy content dumps sunset]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.47/wmf.24|MediaWiki]] '''In depth''' * The Wikimedia Foundation discovered unauthorized activity by OpenAI agents on Wikimedia projects, including edits to wikis, attempts to exploit a public note-taking tool, and heavy automated traffic. [[diffblog:2026/10/05/openai-rogue-agent-activities-found-on-wikimedia-projects/|Read the blog post on Diff]] for more details about the activity and the Foundation’s response. '''Meetings and events''' * Save the date for the next Wikimedia Hackathon! We’ll be meeting in lovely Tirana, Albania for the [https://www.mediawiki.org/wiki/Wikimedia%20Hackathon%202027 2027 Wikimedia Hackathon] from April 9–11, 2027. Scholarship and staff sponsorship applications are currently being [https://pretix.eu/wikimedia/Hackathon-2027/ accepted through Pretix] and will close on October 30, 2026. General registration will open in January 2027. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/42|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W42"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 07:40, 13 October 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31142468 --> == Tech News: 2026-43 == <section begin="technews-2026-W43"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/43|Translations]] are available. '''Updates for editors''' * To measure the impact of incorporating some [[mw:Special:MyLanguage/Readers/Reader_Growth/Image_Browsing#November 2025: Ideas and feedback|community-requested features]] on logged-out reader retention, a test for [[mw:Special:MyLanguage/Readers/Reader_Growth/Image_Browsing|Image Carousel]] will be pushed to logged-out readers. With the Image Carousel feature, readers browse community-uploaded images, selected by editors as relevant to specific articles. The test starts on November 20. * An experimental notice will be pushed to 0.5% of logged-out mobile readers who come to English Wikipedia from Google, asking them to add Wikipedia as a [https://blog.google/products-and-platforms/products/search/preferred-sources/ Google Preferred Source]. The test is to see if this notice increases reader retention and encourages people who use Google Search to visit Wikipedia more often. It will run from October 15–29 and will be assessed for its impact on retention and referrals. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:26}} community-submitted {{PLURAL:26|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, an issue where [[quarry:|Quarry]] returned an “Access denied” error when users tried to run SQL queries, preventing queries from running normally, has now been fixed. [https://phabricator.wikimedia.org/T440966] '''Updates for technical contributors''' * [[File:Cog-icon-grey.svg|12px|link=|class=skin-invert|Advanced item]] Due to a long-standing bug, applications that use the [[mw:Special:MyLanguage/OAuth/For_Developers|OAuth 2]] client credentials flow to act on their owners’ behalf are treated as if they are logged out. This will be fixed for new applications registered on or after Monday, October 19. Some affected applications need to re-register. [https://phabricator.wikimedia.org/T420297] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.48/wmf.1|MediaWiki]] '''Meetings and events''' * A proposal to hold the Wikimedia Hackathon every three years, with regional hackathons in between, [[mw:Wikimedia Hackathon/Community Proposal 2026|has been shared]]. It explores making the event more accessible to technical communities in different regions. Share your feedback on the proposal’s [[mw:Talk:Wikimedia Hackathon/Community Proposal 2026|talk page]] before November 6. '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/43|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W43"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 14:38, 19 October 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31178499 --> == Tech News: 2026-44 == <section begin="technews-2026-W44"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/44|Translations]] are available. '''Weekly highlight''' * An experiment launched on September 29 is testing [[mw:Special:MyLanguage/Readers/Reader_Experience/Reading_recommendations|article recommendations]] for new account holders who also identify as readers. By suggesting articles to read, similar to recommendations in the Wikipedia app for logged-in readers, the experiment aims to encourage new account holders to read and return to the website regularly, with the goal of increasing internal referrals by 1%. See the related [[m:Community Wishlist/W505|Community Wishlist]] proposal. * Several Wikimedia services were taken offline last week because of a [https://www.php.net/archive/2026.php#2026-10-20-1 security vulnerability in PHP]. This is because they need to be updated before they are safe to put back online. This is not a problem just for the Wikimedia movement but affects a lot of websites. You can follow updates on [[wikitech:Incidents/2026-10-21 PHP security update/Community|Wikitech]]. Cloud VPS and Toolforge will take longer to bring back online. This is to make sure that applications which run on Cloud VPS or Toolforge are not affected. Tool developers can see updates and more information on the [https://lists.wikimedia.org/postorius/lists/cloud-announce.lists.wikimedia.org/ Cloud-announce mailing list]. [https://diff.wikimedia.org/2026/10/21/impact-of-php-vulnerabilities-on-wikimedia-tools-and-services/][https://diff.wikimedia.org/2026/10/21/impact-of-php-vulnerabilities-on-wikimedia-cloud-services/] * [[m:Special:MyLanguage/Tech/News/2026/43|Last week we shared]] that to measure the impact of incorporating some community-requested features on logged-out reader retention, a test for the [[mw:Special:MyLanguage/Readers/Reader Growth/Image Browsing|Image Carousel]] feature would be pushed to logged-out readers. Due to an issue, we will be restarting the test, but it will be live on October 26, not November 20 as initially announced. '''Updates for editors''' * A new [[wikitech:KAPOW|bot detection system]] to better identify automated traffic that disguises itself as human visitors, is coming to the Wikimedia wikis. This might cause sudden changes to visitor statistics starting from 26 October, going back to 20 June 2026. * The [[mw:Special:MyLanguage/Extension:Score|Score extension]] which renders musical notation inside wiki pages, has been temporarily disabled on all wikis due to a security issue. Affected pages will display a notice instead of musical scores, but the underlying code remains intact. No action is needed from editors, and a fix is in progress. A separate announcement will follow when the extension is re-enabled. Read more on [[phab:T441579|Phabricator]]. * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:18}} community-submitted {{PLURAL:18|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. For example, the issue where CodeMirror syntax highlighter appears to have been enabled in error for existing editors has been fixed. [https://phabricator.wikimedia.org/T441308] '''Updates for technical contributors''' * [[m:Special:MyLanguage/Tech/Server switch|All wikis will be read-only]] for a few minutes on Wednesday, October 28 2026 at [https://zonestamp.toolforge.org/1793199600 15:00 UTC]. This is for the datacenter server switchover backup tests, [[wikitech:Deployments/Yearly calendar|which happen twice a year]]. During the switchover, all Wikimedia website traffic is shifted from one primary data center to the backup data center to test availability and prevent service disruption even in emergencies. [https://phabricator.wikimedia.org/T439703] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.48/wmf.2|MediaWiki]] '''Meetings and events''' * Scholarship and sponsorship applications for the [https://www.mediawiki.org/wiki/Wikimedia%20Hackathon%202027 2027 Wikimedia Hackathon] will close on Friday, October 30th. Submit your application [https://pretix.eu/wikimedia/Hackathon-2027/ through Pretix] before the deadline! '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/44|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W44"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 18:56, 26 October 2026 (UTC) <!-- Message sent by User:STei (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31199592 --> == Tech News: 2026-45 == <section begin="technews-2026-W45"/><div class="plainlinks"> Latest '''[[m:Special:MyLanguage/Tech/News|tech news]]''' from the Wikimedia technical community. Please tell other users about these changes. Not all changes will affect you. [[m:Special:MyLanguage/Tech/News/2026/45|Translations]] are available. '''Weekly highlight''' * Many Wikimedia tools were taken offline last week because of a [[:w:PHP2Shell|security vulnerability in PHP]]. This affected many websites worldwide. [[m:Special:MyLanguage/Toolforge|Toolforge]] and [[m:Special:MyLanguage/Wikimedia Cloud Services|Cloud VPS]] have been back up since October 22. Many important tools have been gradually restored. Some tools need the respective volunteer maintainers to restart them. Others still need to upgrade to a patched PHP version. Some tools were using older versions of PHP which are not supported by the recent security patches. They will require maintainers to upgrade to a more recent version. This might require additional effort. You can follow the work [[:wikitech:Talk:Incidents/2026-10-21 PHP security update/Community#Exceptions|on Wikitech]]. '''Updates for editors''' * A new optional search experiment is running in the Wikipedia Android and iOS apps for Arabic, French, and Japanese Wikipedias. Participating readers can search inside articles and open quoted passages directly in their source articles, no answers or summaries are generated. This is the first of four experiments in [[mw:Special:MyLanguage/Readers/Information%20Retrieval/Phase%202|Phase 2 of Semantic Search]]. It began on October 22 and runs for 20 days. Feedback is welcome on the project’s [[mw:Special:MyLanguage/Talk:Readers/Information%20Retrieval/Phase%202|discussion page]]. * The [[m:Special:MyLanguage/Future_Audiences|Future Audiences]] team is planning to bring [[m:Special:MyLanguage/Future_Audiences/Share_card|Share Cards]] to Wikipedia on mobile. This feature gives users the option to share a visually appealing card with friends, based on the article they are reading. The card contains the article’s title, image, opening text, and related attribution, and links back to the article for full reading. Editors are invited to try out this feature by adding <code dir="ltr">?useformat=mobile&sharecard=1</code> to any article URL from October 29 to November 8. Share any thoughts on the [[m:Talk:Future_Audiences/Share_card| project talk page]] and report any bugs on [[phab:T439161|Phabricator]]. * The default renderer for math formulas will change on November 2. After the change, the server sends the formula as MathML, and your browser uses MathJax to show it. This is the last step towards the Mathoid/RESTBase deprecation process, for sustainability and security reasons. You can [[w:en:Wikipedia:WikiProject Mathematics/MathFormattingBugs|ask questions or report problems]]. [https://phabricator.wikimedia.org/T375238] * Do you have an idea for a new feature, or a bug that needs fixing? [[m:Special:MyLanguage/Community Wishlist|Submit your suggestion for the community wish list by November 8!]] * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] View all {{formatnum:41}} community-submitted {{PLURAL:41|task|tasks}} that were [[m:Special:MyLanguage/Tech/News/Recently resolved community tasks|resolved last week]]. '''Updates for technical contributors''' * [[File:Reload icon with two arrows.svg|12px|link=|class=skin-invert|Recurrent item]] Detailed code updates later this week: [[mw:MediaWiki 1.48/wmf.3|MediaWiki]] '''''[[m:Special:MyLanguage/Tech/News|Tech news]]''' prepared by [[m:Special:MyLanguage/Tech/News/Writers|Tech News writers]] and posted by [[m:Special:MyLanguage/User:MediaWiki message delivery|bot]]&nbsp;• [[m:Special:MyLanguage/Tech/News#contribute|Contribute]]&nbsp;• [[m:Special:MyLanguage/Tech/News/2026/45|Translate]]&nbsp;• [[m:Tech|Get help]]&nbsp;• [[m:Talk:Tech/News|Give feedback]]&nbsp;• [[m:Global message delivery/Targets/Tech ambassadors|Subscribe or unsubscribe]].'' </div><section end="technews-2026-W45"/> <bdi lang="en" dir="ltr">[[User:MediaWiki message delivery|MediaWiki message delivery]]</bdi> 14:23, 3 November 2026 (UTC) <!-- Message sent by User:Trizek (WMF)@metawiki using the list at https://meta.wikimedia.org/w/index.php?title=Global_message_delivery/Targets/Tech_ambassadors&oldid=31236748 --> rahg4lhxm24pi9co7hfh1yiw41ajxwz 0 264724 2844293 2844065 2026-11-03T19:47:14Z Scogdill 1331941 2844293 wikitext text/x-wiki {{Short description|Dress worn by Queen Victoria at her wedding to Prince Albert in 1840}} = Sandbox = Page to draft revisions for Wikipedia articles. For Gwladys Robinson, see Gwladys Lowther Robinson, [[Social Victorians/People/Ripon|Marchioness of Ripon]] and, earlier, [[Social Victorians/People/Lowther|Countess of Lonsdale]] ==References== {{reflist|2}} [[Category:1840 works]] [[Category:Royal wedding dresses|Victoria Queen]] [[Category:1840s fashion]] [[Category:British royal attire]] [[Category:Dresses in the Royal Collection of the United Kingdom|Victoria, Wedding]] [[Category:Diamond Jubilee of Queen Victoria]] = Victorian fashion = == Notes and Quotes == * Women followed Paris fashion in Europe and America, but London tailors led the way for men’s fashion. The Industrial Revolution actually impacted men’s fashion more than women’s. * Sewing machines in factories began mass producing cheap clothing for the largest group in the population, working class men. * Ready-made clothing affected the social structure, the economy, and gender differentiation. * Paper patterns, introduced in fashion magazines that targeted women, along with domestic sewing machines had more impact on women’s fashion than men’s. Haute couture was still bespoke (being individually constructed by tailors or dressmakers or fashion houses like Maison Worth). Sewing Machines and Clothes Before the industrial revolution wealthy people paid others to sew their clothes by hand and those who were of much lower economic status did all the manual labor necessary to feed and clothe the rich minority. The working class had to make all their own clothes. Sewing, however, came at the end of the process.  They began with raw wool cut from the backs of sheep or gathering flax. Only the wealthy could afford to buy fabric. They followed processes for cleaning and spinning the wool into thread and the processes of soaking and pulling out the fibrous strips to make into thread for linen fabric. After they had thread, it was tied to a loom so it could be woven into cloth. Then it had to be cut or torn into pieces. For many families scissors were a luxury. And the last step is sewing the pieces together to create a garment. Machines could not only sew, they could process the raw materials into thread and weave it into fabric much  quicker. Regarding clothing, working class men and their families benefitted greatly from ready-made clothes. Manufacturers marketed to them because they were the largest class. For example,<blockquote>–Men’s shirts, made by machine, take 3 hours and 10 minutes each to do; by hand, 15 hours and 20 minutes; a lady’s dress, by machine, takes 12 hours 4 minutes; by hand 20 hours 35 minutes; . . . a common frock-coat, by the machine occupies 17 hours 20 minutes; by the hand, 27 hours and 40 minutes: a linen vest, by machine, 3 hours 44 minutes; by hand 7 hours 18 minutes; a fine overcoat, by machine, 28 hours 13 minutes; by hand 31 hours 20 minutes; . . . <ref>Mitchell, Rebecca, ed. "22. 'Progress of the Sewing Machine,' ''Bow Bells'' (19 April 1865), p. 283." Section 6: Production and Industry. ''Fashioning the Victorians: A Critical Sourcebook''. Bloomsbury Visual Arts, 2018.</ref></blockquote> === Industrial Revolution and Technological Advancements === * the railroad * mass production of fabrics for working-class men's clothing ** Jacquard looms * sewing machines * aniline dyes, including black === Expanding Middle Class === * gender roles getting more clearly defined and rigid (referring back to page overview) === French Revolution === Sarah Gharmallah Alzahrani and Safia Abdelaziz Saroukh (https://www.researchgate.net/profile/Safia-Saroukh/publication/385099194_The_Semiotic_Dimension_of_Men's_Fashion_in_Modern_Eras/links/671686fbd796f96b8ec4f90e/The-Semiotic-Dimension-of-Mens-Fashion-in-Modern-Eras.pdf):<blockquote>The 19th century started with a fashion landscape that was changing dramatically and rapidly from the styles of a generation earlier. The French Revolution brought fashions that had been emerging since the 1780s to the forefront. Neoclassicism now defined fashion as both men and women taking inspiration from classical antiquity. For women, the high-waisted silhouette in lightweight muslin was the dominant style, while fashionable men looked to the tailors of Britain for a new, refined look [17]. [17]  Franklin, H. (Aug 18, 2020). Published on Jun 25, 2020, Retrieved: <nowiki>https://fashionhistory.fitnyc.edu/1800-1809/</nowiki> 11/11/2023. Edited. ...</blockquote>Brent Shannon:<blockquote>"Costume," wrote Max Beerbohm in 1896, "enables us to classify any 'professional man' at a glance, be he lawyer, leech or who not" (24–25). A man's profession and class were read by his jacket, his hat, what he rode in, and how he carried himself. "Perhaps there is a tendency among Englishmen to judge a man too much by the shape of his hat or the kind of collar he wears," conduct author John Wanamaker confessed; "But one must remember that in England if you ''wear'' the wrong thing, you will probably ''do'' the wrong thing, and generally ''be'' the wrong thing" (1).<sup>11</sup> Such assertions were predicated on the powerful Victorian conviction that outward appearance reflected inner qualities.<ref>{{Cite book|title=The Cut of His Coat: Men, Dress, and Consumer Culture in Britain, 1860–1914|last=Shannon|first=Brent Alan|publisher=Ohio University Press|year=2006|location=Athens, Ohio}}</ref> (148)</blockquote> ==Women's fashion== == Men's fashion == (Two intros: one to Victorian Fashion, giving background for both women's and men's fashions; two to the decades for men's fashion) Among the influences on men's styles: * differentiation of genders (domestic ideology, ideology of the spheres) * the "Great Male Renunciation," the French Revolution and English tailoring * industrial revolution: mass production of fabrics and articles of clothing, especially for working-class men * sports and country clothing * Albert Edward, Prince of Wales, later King Edward VII, influence went beyond England; tailors led by him led fashion for the upper classes * then later, cult of youth * military uniforms * comfort and convenience * evolving definitions of gender, both femininity and masculinity evolved as concepts. The changing definitions of masculinity affected men's clothing. For the growing and rising middle classes, gender roles became more and more rigid around the concept of the separate spheres, the public for men and the private sphere for women. Cultural sources for men's clothing and men's fashion: industrial revolution; expanding middle class; technological advancements; an association in the culture between outward appearance and inward nature; French Revolution; Albert Edward, Prince of Wales Citation for Victorian Hell: <ref name=":29">{{Cite web|url=https://victorianhell.substack.com/p/victorian-mens-fashion-history-and|title=Victorian Men’s Fashion History and Clothing Guide|last="It's Monty, Actually"|date=31 October 2025|website=Victorian Hell|access-date=7 September 2026}}</ref> === Waistcoats === *c. 1830, dark brown or black w faces, gold buttons, standing collar: File:Waistcoat MET 38.68 F.jpg * c. 1830, beige and white woven fabric with rose buds stamped or embroidered??: File:Waistcoat MET 19.181.4 F.jpg * 1830–1835, dotted and floral stamped fabric, brown and tan: File:Waistcoat MET 1976.254.1.jpg * * c. 1840, flowered fabric: File:Waistcoat MET 1979.346.45 F.jpg * c. 1840, red, jacquard-like, double-breasted: File:Waistcoat MET 1979.346.47 F.jpg * 1840s, white brocade: File:Waistcoat MET 1980.132.8 F.jpg * 1840s, dark blue, red, green? stamped?: File:Waistcoat MET 1976.254.1.jpg * Mid 1840s, brown, embroidered: File:Waistcoat MET 24.160.3 F.jpg * late 1840s, embossed white with hash thingies: File:Waistcoat MET 1978.88.9 F.jpg * 1845 waistcoat made from blue Chinese silk damask: File:1845 waistcoat made from blue Chinese silk damask.jpg * 1845–1855, white brocade wedding waistcoat, piping on the edges: File:Waistcoat MET 1986.373.3 F.jpg * '''1849–1860''', black w gold lining, ribbon: File:Waistcoat MET 1978.477.25 F.jpg * * 1850, print of St. James's Park: File:Print (BM 1880,1113.2351).jpg * 1850s, white and blue, w blue floral design stamped on white-and-grey stamped on white fabric: File:Waistcoat MET 1978.477.28 F.jpg *c. 1853, brown and tan plaid, with red squares: File:Waistcoat MET 1984.90.2 F.jpg *1854: Fashion plates, groups of ppl: File:Paris, New York & Philadelphia fashions for spring and summer 1854, published & sold by F. Mahan, no. 211 Chestnut Street, Philadelphia. LCCN2003655770.jpg *c. 1855, French fashion plate, frock coats, waistcoats, etc.: File:Album z ilustracjami do czasopism z moda francuska, niemiecka i angielska. ca 1855 (9109644).jpg * 1857, cream, printed flowers on check, watch pocket: File:Waistcoat MET 1978.88.8 F.jpg * * c. 1860, dark floral? fabric with machine embroidery?: File:Waistcoat MET 1983.479.13 F.jpg * * late 1870s–early 1880s, gold, woven: File:Waistcoat MET 1979.34.1 F.jpg === Frock coats === * Apostol Mănescu, politician, wearing a frock coat, butterfly tie, black waistcoat with button chain and light coloured pants, drainpipe type. Circa 1866. Photo by Franz Duschek.jpg (1866)[[File:Apostol Mănescu, politician, wearing a frock coat, butterfly tie, black waistcoat with button chain and light coloured pants, drainpipe type. Circa 1866. Photo by Franz Duschek.jpg|thumb|Romanian (?) Politician, c. 1866, ill-fitting but probably handmade suit|center]] Full-length portrait of two young men wearing frock coats with sashes and pistols at their waists LCCN2006689564.tif (right)[[File:Full-length portrait of two young men wearing frock coats with sashes and pistols at their waists LCCN2006689564.jpg|thumb|1860, American, young men with frock coats, performers??|center]] * George Augustus Henry Sala.jpg (Mathew Brady, 1855–1865) * [[File:George Augustus Henry Sala.jpg|center|thumb|George Augustus Sala, 1855–1865, LoC]] ==== Dress and Conduct Manuals, Histories, Victorian Theory, Catalogs ==== # [Baker, William Henry.]  ''Clothes Dictionary''. Chicago, Ill.: Cahn, Wampold, 1901. https://commons.wikimedia.org/wiki/File:Clothes_dictionary;_(IA_clothesdictionar00bake).pdf. # [[c:File:Hint's_about_men's_dress,_right_principles_economically_applied_(IA_hintsaboutmensdr00barr).pdf|Hint's about men's dress, right principles economically applied (IA hintsaboutmensdr00barr).pdf]] (book, conduct manual, American, 1888) #[https://upload.wikimedia.org/wikipedia/commons/6/69/Fashion-_the_power_that_influences_the_world_%28IA_fashionpowerthat00foxg%29.pdf?utm_source=commons.wikimedia.org&utm_campaign=index&utm_content=original Fashion- the power that influences the world (IA fashionpowerthat00foxg).pdf] (1871) (American, incl court dress, Victorian fashion theory, livery, "White, as it is the color of day, is expressive to us of the cheerfulness or gaiety which the return of day brings." [145], "Gentlemen's Furnishing and Goods," "Head and Foot Covering," Index) # [https://upload.wikimedia.org/wikipedia/commons/a/ae/How_to_behave_and_how_to_amuse._A_handy_manual_of_etiquette_and_parlor_games_%28IA_howtobehavehowto00sand%29.pdf?utm_source=commons.wikimedia.org&utm_campaign=index&utm_content=original How to behave and how to amuse. A handy manual of etiquette and parlor games (IA howtobehavehowto00sand).pdf] (1895; American; Men's Dress, p. 23; besides conduct and dress, it has parlor games) # [https://upload.wikimedia.org/wikipedia/commons/8/8e/The_etiquette_of_men%27s_dress_%28IA_etiquetteofmensd00cluc%29.pdf?utm_source=commons.wikimedia.org&utm_campaign=index&utm_content=original The etiquette of men's dress (IA etiquetteofmensd00cluc).pdf] (1888; American; some ads; anthology of individually written articles; lots of sports, outdoor events; search for "frock" — cutaway vs Prince Albert) #[https://upload.wikimedia.org/wikipedia/commons/e/e9/S.W._Silver_%26_Co.%27s_handbook_for_transatlantic_travellers_.._%28IA_swsilvercoshandb00silv%29.pdf?utm_source=commons.wikimedia.org&utm_campaign=index&utm_content=original S.W. Silver & Co.'s handbook for transatlantic travellers .. (IA swsilvercoshandb00silv).pdf] (1883; American; lots of ads from SW Silver, with prices; has blank pages where ppl can write "Introductions" and "Engagements," but this is not a conduct book, it's travel guide / catalog to London) #[https://upload.wikimedia.org/wikipedia/commons/f/f6/How_we_go_to_those_who_cannot_come_to_us.._%28IA_howwegotothosewh00roge%29.pdf?utm_source=commons.wikimedia.org&utm_campaign=index&utm_content=original How we go to those who cannot come to us.. (IA howwegotothosewh00roge).pdf] (Roger, Peet & Co.; American; catalog, spring 1891; pp. 11, clerical frock; 7 "Prince Alberts" double-breasted frocks; p. 23 shirts as underwear; has a thing on fitting and mail order; bathing suits, collars and cuffs; tennis shoes) == Victorian Men's Fashion (Intro to the Men's Fashion Section) == Museums and other historical sites have plenty of women’s clothes from the nineteenth century. There is great variety in both outer wear and underwear. “Men’s garments of the Victorian period have survived in far less quantity than women’s.” Buck p. 185 More waistcoats have survived than any other garment. The hardest garment to find are trousers. Very few survived the nineteenth century. Buck p. 185 By 1850 trousers dominated the fashion for men; the trouser straps under the shoe had disappeared; and a fly front had replaced the fall-front. Buck 185 It took most of the nineteenth century for men’s fashion to evolve into the coat, trousers and vest (waistcoat) that dominated the twentieth century and appears to be unchanging in the twenty-first century. “Men’s clothing, like women’s, was specific to each occasion and type of activity during the late nineteenth century.” Payne2, p. 518 For example, formal wear for social events was different from the casual, everyday wear for upper middle class and aristocratic men. Victorians also dressed in ensembles for hunting and riding (included knickerbockers–breeches that had a fuller cut). Casual and looser clothing was worn when participating in sports. Many different cuts of coats were available, like the Norfolk jacket, the morning coat, or the sack coat. “Tailored wool garments , originally inspired by the clothing of English country gentry, formed the backbone of men’s wardrobes in the early nineteenth century.” Men’s clothing began to change from styles that were colorful and flamboyant in the eighteenth century to styles that emphasized cut over color. By the end of the century men’s clothing had settled into a kind of uniform with coats and trousers usually made of the same fabric, often with a vest or waistcoat of the same fabric. The uniform included a shirt with a stiff collar, a necktie and very little jewelry. It took the entire nineteenth century to change to a rather static style that is still worn today. Ready-made clothing affected the social structure, the economy, and the gender differentiation. David Kutcha traces the origin of the 3-piece men's suit to King Charles II of England, who may be said to be wearing a coat, pants and a waistcoat, but otherwise is not wearing a "suit" we — or the Victorians — would recognize as such: <blockquote>... since 1666, male gentility has been associated with modesty and plainness in dress. Eschewing fashion as an increasingly feminized realm Charles II's vest inaugurated a new and essentially modern era of masculine aesthetics, one that reversed a long-held association between elaborate display and high social status. Manly thrift now displayed elite status.<ref>{{Cite book|title=The Three-Piece Suit and Modern Masculinity, England 1550–1850|last=Kutcha|first=David|publisher=University of California Press|year=2002|location=Berkeley and Los Angeles}}</ref> (2)</blockquote>So it's really Cromwell who should get credit?? The French Revolution caused both men and women to change stylistic direction radically. For one generation, stylish women wore simple white muslin dresses without foundation garments underneath. The changes in men's fashion was more lasting: men turned away from the ornamentation and ruffles of the ''ancien régime'', choosing instead understated and subtle tailoring to indicate good taste and wealth. Poole "comfort and convenience" — trousers, sack coats, collars and cuffs without a shirt, wool rather than silks and satins; knee breeches constantly riding up men as leaders of fashion, in spite of our sense that men didn't do fashion in the way that women did, were more serious than that === Dandy Stuff === Beau Brummell: "Men began to aspire to fine cutting, tailoring, and perfect fit in their clothes, flawless grooming and manners in themselves. The Englishman George Bryan (Beau) Brummell deserves much credit for the ideal of meticulous masculine appearance."<ref name=":25">{{Cite book|title=The History of Costume: From Ancient Mesopotamia Through the Twentieth Century|last=Payne|first=Blanche|last2=Winakor|first2=Geitel|last3=Farrell-Beck|first3=Jane|publisher=Addison-Wesley Longman|year=1992|isbn=0-06-047141-7|edition=2nd|location=New York, New York}}</ref> (458) "From 1796 to 1816, the Beau set the pattern for cleanliness and liberal use of starch." (459) === Gender Ideologies === '''Victorian gender ideologies''' relegated men to the "public sphere" and women to the "domestic sphere." (??) More than that “the cult of youth . . . the secularization of sport and the influence of modern warfare in generating men’s fashions, the tendency to prefer modern ideas of comfort and convenience, and the transformation of fashion knowledge and fashion urbanism from print to hyperreality”<ref name=":26">McNeil, Peter. "Men's Fashion: 1800–2022." Chapter 22. ''The Routledge History of Fashion and Dress, 1800 to the Present''. Routledge, 2024. https://opus.lib.uts.edu.au/bitstream/10453/182707/2/Men%27s%20Fashion%20200822_24_12_20_09_29_44.pdf DOI: 10.4324/9780429295607-27.</ref> (McNeil 1 or 411) changed the perceptions of masculinity and femininity. === Class === The growing middle class involved among other things more and more jobs and careers for young men as clerks, office workers, they were junior, subordinate, and they were commuting on the railroads from suburbs. Carolyn Kirby:<blockquote>In western Europe the fashion for plain dark suits coincided with the rise of the affluent middle-classes in a world where the pace of industrialisation and the globalisation of trade was accelerating as never before. The sharp, dark business suit became the last word in male power-dressing. And so it remains to this day.<ref name=":27">{{Cite web|url=https://historiamag.com/invent-masculine-fashion/|title=The invention of masculine fashion|last=Kirby|first=Carolyn|date=3 December 2025|website=Historia: Magazine of the Historical Writers' Association|access-date=25 August 2026}}</ref></blockquote> === Bertie === Albert Edward, Prince of Wales was very concerned with fashion and authoritative about it, with a very specific eye to small details. He was increasingly influential in men's fashion from the last third of the 19th and into the 20th century, and many noticed what he did and copied him.<blockquote>When that great lover of pleasure, Edward VII, visited Marienbad incognito as the Duke of Lancaster, he was followed by tailors from Paris, Budapest, Vienna, and Berlin who photographed him and took notes about his clothes. Edward VII introduced many [423–424] novelties into men’s fashion. ... He is also credited with making fashionable the creased trouser in 1909 (his groom dried them with a board weight after heavy rain, resulting in the line), turned-up cuff trouser (after hitching his trouser bottoms at a dirty racing track) and, as his girth grew, undoing the bottom button of his waistcoat."<ref name=":26" /> (424)</blockquote>Cowles<blockquote>The Prince was not just ‘a swell’. In the jargon of the day he was ‘a heavy swell’, and apparently there was a world of difference between the two terms. A swell was a rich young aristocrat who lived in extreme comfort; but a heavy swell added showmanship to the comfort and lived in a stylish luxury that even the French were obliged to envy. And of course the heavy swell was the acme of sartorial elegance. The Prince did not mind changing his dress half a dozen times a day. He loved clothes, and since whatever he chose to wear became the prevailing fashion overnight, he soon was regarded as an expert on the subject. His tailor-in-chief made a fortune. For many years he patronised a Mr. Poole. He discovered this gentleman by accident. He went to the theatre one night to see a well-known actor by the name of Fecher playing ‘Robert Macaire’. As an impecunious adventurer [129–130] Fechter was obliged to wear a coat that was torn and dirty, but Bertie’s expert eye noticed the elegant cut. At the end of the performance he asked Fechter for the name of his tailor, and Mr. Poole’s future was assured. The Prince had so many clothes he could never travel with less than two valets; and two more valets were left at home cleaning, brushing and pressing his vast wardrobe. There were suits and coats for every variation of every climate the world over. There were over a hundred pieces of headgear; and since Bertie was an honorary admiral and an honorary general of most of the countries of Europe, there was an entire room devoted to uniforms, sashes, epaulettes, belts, buckles, swords, feathers and other regalia. ... Men’s clothes became of such importance that new [130–131] shops sprang up like mushrooms in Savile Row, Clifford Street and Bond Street. Most of the Prince’s innovations were inspired by comfort and convenience. He altered the cut of the evening dress waistcoat, he shortened the tails on the tail coat, he left his frock coat open (due to an increasing girth), he introduced the black homburg, and he attended race meetings, not in the frock coat hitherto ''de regueur'' but in tweeds. He tried having his trousers creased down the sides rather than the front and back, in order to hide his bandy legs, but this idea did not catch on, and he soon discarded it himself. But the prince was not the only arbiter of men’s fashions. The band of  "heavy swells" who followed his lead gave him plenty of competition. Lord Raglan and Lord Petersham invented coats which are still named after them. Lord Dupplin the dinner jacket and Lord Cardigan the button-up sweater. But Lord Hardwicke made the most spectacular contribution. Men’s silk hats were made of beaver which was left in its original rough, shaggy state. Lord Hardwicke polished his hat until he could see his face in it, and consequently was known as "Glossy Top". He is responsible for the top hat as we know it today.<ref name=":28">{{Cite book|title=Gay monarch, the life and pleasures of Edward VII|last=Cowles|first=Virginia|publisher=Harper|year=1956|location=New York, New York|archive-url=https://archive.org/details/gaymonarchlifepl0000cowl/}}</ref> (129–131)</blockquote> === Men’s Clothing 1830–1900 (Intro to the Decades) === “Tailored wool garments , originally inspired by the clothing of English country gentry, formed the backbone of men’s wardrobes in the early nineteenth century.”<ref name=":25" /> (458) Men’s clothing began to change from styles that were colorful and flamboyant in the eighteenth century to styles that emphasized cut over color. By the end of the century men’s clothing had settled into a kind of uniform with coats and trousers usually made of the same fabric, often with a vest or waistcoat of the same fabric. The uniform included a shirt with a stiff collar, a necktie and very little jewelry. It took the entire nineteenth century to change to a rather static style that is still worn today. (this is middle-class men for day wear?) The silhouette for men sometimes followed the same line as women’s clothing on the top half of their bodies. For example, as women’s sleeves grew into the huge leg-of-mutton fullness, the shoulders of men’s coats also had added fabric to make a pouf at the shoulder, thus emphasizing a broad shouldered look across the front. Men’s silhouettes changed subtly without the exaggerated fullness of women’s skirts or the raising and lowering of the neckline. Once men began to wear trousers, they did not go back to formal knee breeches (except in European courts or for court wear for Victoria). The line of men’s garments changed in smaller increments than women’s. Coats and trousers might fit tighter in some decades and looser in others. They were slim, then boxy, flared, then straight and evolved into the contemporary line we see on men today. Men's fashions in the 19th century have been less researched than women's fashions, in part because of fewer artifacts of what men wore were saved in museums for study. Photography, the first century that we have actual images (rather than artists' interpretations) of what people wore. ==== Court and Formal Dress ==== Livery, working class Formal dress was separate attire, used for specified occasions, varies by decade ==== Shirts ==== Shirts and collars separated: "by 1827 detachable collars became available."<ref name=":25" /> (477) Shirts were considered more like underwear early in the century but by the end of the 1800s, they were becoming the outside garments popular in the twentieth and twenty-first centuries. Neck treatments (and shirt cuffs) Shirts were treated as underwear early in the century but by the end of the 1800s, they were becoming the outside garments popular in the twentieth and twenty-first centuries. ==== Coats and Jackets ==== The 1901 ''Clothes Dictionary'' says coats were "The principal garment of men's attire."<ref name=":30" />{{rp|10}} Several styles of coats were available to fashion-conscious aristocratic and upper-middle-class men. Men’s suits in this period were tailor made, fitted to one specific man. The factories, however, knew that the vast majority of men were working class and began to manufacture and sell ready-made shirts, coats and trousers. More clothes were available for working men and they cost less. The cheaper work clothes enabled upper-working-class men to own more than one set of clothes and to have more formal clothes for church or other events. Ready-made shirts were also available in generic sizes, small, medium and large. Generic sizing speeded up the mass production process and, since little of the shirts could be seen, they did not need custom fitting. Almost all of the coats Victorian men wore could be single or double breasted, with a couple of exceptions like morning coats and Norfolk jackets. On more formal occasions upper-class men wore a '''cutaway morning coat''' with light trousers during the daytime, and a dark '''tail coat''' and trousers in the evening. (define these terms) Morning coats was a general term for the jacket part of "full dress" or formal daytime wear, distinguished from formal evening wear. Most morning coats were cutaways, but the shape or cut is not the distinguishing feature: the bottom was curved or tailed, so the coat was short in front, it did not have a waist seam, single-breasted. Worn over a waistcoat and shirt. According to Payne, "During the early 1820s tailcoats were the most popular type of coat."<ref name=":25" />{{rp|474}} "Tailcoats gave way to skirted frock coats by the 1840s."<ref name=":25" /> (491) Tailcoats came down as far as the waist and then had tails (or "claw hammer" tails) attached at the waist in the back. Single-breasted, could be worn buttoned or unbuttoned in the front, over a waistcoat and shirt. Nowadays, the only tailcoats are tuxedos, a term not in use until the 1880s, and named for Tuxedo Park, a village in New York populated by the elite. Originally only the white coat, ''tuxedo'' gradually came to mean the entire suit. ==== Frock Coats ==== [[File:Frock coat MET CI38.23.39 F.jpeg|alt=Old-fashioned coat hanging on a mannequin|thumb|Frock coat, 1840, American]] * Frock coats were introduced in the 1820s and worn throughout the nineteenth century with only minor changes to the line or fit. Sleeves were full at the top and waists were tight, creating an hourglass form. Initially frock coats were tightly fitted and closed with buttons. The more tailored frock coats had a waist seam and a flared skirt almost to the knees. The rate of fashion change notable in women's fashion was true for men's clothing as well. The frock coat persisted for a century, but it was in a state of constant (but subtle) evolution, with collars and lapels, coat length, the waist seam, the fullness of the coat itself as well as the sleeve, color, patterns like stripes or plaids. * A Prince Albert is a double-breasted, very well-tailored, form-fitting frock coat.<ref name=":30">[Baker, William Henry.] ''Clothes Dictionary''. Chicago, Ill.: Cahn, Wampold, 1901. https://commons.wikimedia.org/wiki/File:Clothes_dictionary;_(IA_clothesdictionar00bake).pdf.</ref>{{rp|33}} * Gentlemen, clergy, military * Men around the world and especially in the British Empire wore frock coats: images and descriptions exist of men wearing frock coats in India<ref>Woodyatt, Nigel Gresley. ''Under Ten Viceroys; The Reminiscences of a Gurkha''. London: H. Jenkins Limited, 1922. Pp. 31, 107, 1774.</ref>, Iran (Persia at that time)<ref>Sparroy, Wilfrid. ''Persian children of the royal family; the narrative of an English tutor at the court of H. I. H. Zillus-Sultán, G.C.S.I''. London and New York, J. Lane, 1902. Pp. 11, 29, 30.[https://upload.wikimedia.org/wikipedia/commons/d/d1/Persian_children_of_the_royal_family%3B_the_narrative_of_an_English_tutor_at_the_court_of_H._I._H._Zillus-Sult%C3%A1n%2C_G._C._S._I_%28IA_persianchildreno00sparrich%29.pdf?utm_source=commons.wikimedia.org&utm_campaign=index&utm_content=original https://upload.wikimedia.org/wikipedia/commons/d/d1/Persian_children_of_the_royal_family%3B_the_narrative_of_an_English_tutor_at_the_court_of_H._I._H._Zillus-Sult%C3%A1n%2C_G._C._S._I_%28IA_persianchildreno00sparrich%29.pdf].</ref>, Japan<ref>Watson, W. Petrie. ''Japan, Aspects and Destinies''. New York, Dutton: 1904. P. 7, 19, 31.</ref>, Egypt and Turkey<ref>Butler, Alfred Joshua. ''Court Life in Egypt''. London: Chapman and Hall, 1887. P. 7.</ref>, ... * Payne: "In the 1720s, Englishmen adopted another coat [than the redingote]: a straighter, functional style that originated among the working classes. Made of plain woollen cloth in practical colors such as brown, it had no pleats, narrow sleeves, a small flat collar, and a minimum of decoration. This became known as the frock coat and was useful for riding, hunting, and overseeing one's lands." (402) ==== Trousers ==== * Working-class men had been wearing trousers (or "trowsers") increasingly since the 16th century in Europe,('''citation''') but after the French revolution the middle and upper classes adopted them because "the safest dress was that of the working man, ... who did not wear knee breeches, but rather trousers."<ref name=":26" /> (416) * Lewandowski: "First worn by the early horse-riding steppe people, introduced to Western world by Italians in 16th century. They were accepted as informal dress in the Directoire (1790–1815 C.E.). They became a part of semi-formal dress around 1815 and became worn commonly after 1830."<ref name=":31">{{Cite book|title=The Complete Costume Dictionary|last=Lewandowski|first=Elizabeth J.|publisher=Scarecrow Press|year=2011}}</ref> (29) * Breeches: Men’s bifurcated garment that ended just below the knee * Trousers (or long pants): men’s bifurcated garment that went down to the ankles or foot * The most sweeping change in men’s fashion before 1820 was in the length of their pants. Trousers that went from waist to foot were so much more comfortable and popular than knee breeches that they replaced what had dominated men’s wear since the sixteenth century. And trousers have been worn for over two centuries now. * They were originally tailored but began to be mass produced. Although the aristocracy were required to wear knee breeches at court, they wore trousers more than they wore breeches, and they could afford to have their suits and shirts hand sewn and individually. Working class men had to contend with small, medium, and large from mass production. * This bifurcated garment was modified in specific places, like the length, the fullness over the hips or the width of the leg. In summer trousers were lighter in color — "grayish blue, aqua and pearl gray." (Payne 2, 505) In winter trousers mixed darker colors like "steel gray and brown, black and brown, and black and green." (Payne 505) More on summer colors, winter colors? * [Find quote about QV's men's court dress and the men being so cold] ==== Waistcoats ==== For most of the century, the waist-length sleeveless coat that men wore over their shirt and under their suit coat was called a waistcoat. By the 1880s, everyday waistcoats were called vests, and what was called a waistcoat was worn with formal, evening attire like tailcoats and tuxedos. Necklines rose and fell and collars and lapels came and went over the century, but by the end of the century, formal waistcoats had low necklines and lapels.<ref name=":25" /> (528) Many more waistcoats exist as artifacts in collections than vests, perhaps because they were special and thus were saved.[[File:Waistcoat MET CI60.22.55 F.jpg|thumb|Men's waistcoat, 1850s]] Over the course of the century the waistcoat evolved from ornate and decorative to something simpler, whose fabric matched the suit coat and trousers — the vest, in fact. Victorian men put their creativity, color and specialty fabrics into their waistcoats. At the beginning of the century men's waistcoats were made from specialty fabrics, like velvet or brocade or a patterned silk. Early in the century, stylish men wore two vivid waistcoats at the same time.<ref name=":25" /> (474) An elaborate waistcoat might have a colorful, patterned base fabric as well as a floral ribbon embellishment (for example, see right). Long after coats and trousers were made from the same dark wool, waistcoats continued to be colorful, making them the focus of the ensemble. By the end of the 19th century, the plain style came to dominate men’s fashion (and continues to dominate it to this day). When waistcoats became vests, they became part of the plain style. [[File:Homosexualitywilde.jpg|thumb|Oscar Wilde and Bosie Douglas, straw boater and derby, 1894]] ==== Overcoats ==== As their name suggests, overcoats or surcoats were coats worn for warmth and for protection from rain and snow on top of the other articles of clothing, including suit coats and frock coats. Overcoats became a significant fashion element and many styles were seen throughout the century. Victorians used the terms ''overcoat'' and ''great coat''., and sometimes perhaps ''surtout''. A great coat was a "large overcoat, commonly made of wool."<ref name=":31" /> (124) In his 1901 ''Clothes Dictionary'', Baker says a surtout is "An overcoat cut in the style of a frock coat."<ref name=":30" /> (39) Lewandowski says something more generic — "term referring to any man's long cloak or coat."<ref name=":31" /> (282) Victorians also specified which of the many kinds of overcoat: Chesterfield coat, Inverness coat, macintosh (or mackintosh), paletot, redingote, Ulster coat ===== Redingote ===== * Redingotes had a rolled collar, sleeves with fullness at the shoulders and upper arm and narrow at the elbows to the wrist. * It was fitted at the waist and reached mid-calf. existed various forms in the 18th century. * Women's redingote 1865–1890, in France, to cover the bustle. (Lewandowski, 247–248) * Payne: "The greatcoat or redingote evolved into an overcoat ..., but the overcoat lacked the pleats and large cuffs of the redingote." (402) * high, double collar, standing collar, single- or double-breasted. "from riding coat" (Payne 402) * Rebecca Mitchell: "full-length overcoat, usually open at the front and belted, popular in varying designs through the eighteenth and nineteenth centuries."<ref name=":32">Mitchell, Rebecca, ed. ''Fashioning the Victorians: A Critical Sourcebook''. Bloomsbury Visual Arts, 2018.</ref> (527 or 565) [[File:George Stanhope, 7th Earl of Chesterfield.jpg|thumb|George Stanhope, 7th Earl of Chesterfield, wearing a Chesterfield coat, 1860]] ===== Chesterfield Coat ===== * "Chesterfield coats were single-breasted, with fly fronts [regular buttons and button holes, as opposed to fall front, in which a panel of cloth covers the button holes and the placket covers the closure completely] and velvet collars."<ref name=":25" />  Payne2 p. 519 * They were one kind of overcoat, named for George Stanhope, 6th Earl of Chesterfield. 1840s. * Signature velvet collar. * "Man's fitted overcoat with hidden buttons and velvet collar"<ref name=":31" /> (62) * "fitted men’s knee-length overcoat, narrower than the frock coat and without a waist seam, popular from the end of the nineteenth century."<ref name=":32" /> (519 of 565) ===== Ulster Coat ===== In 1872, in analyzing men's clothing as evolutionary behavior — like coloration for mating among birds in the natural world — George Darwin (Charles's son) says, of trousers and Ulster coats:<blockquote>In both cases a form yields to a succeeding form, which is better adapted to the then surrounding conditions; thus, when it ceased to be requisite that men in active life should be ready to ride at any moment, and when riding had for some time ceased to be the ordinary method of travelling, knee breeches and boots yielded to trousers. The "Ulster Coat", now so much in vogue, is evidently largely fostered by railway travelling, and could hardly have flourished in the last century, when men either rode or travelled in coaches, where there was no spare room for any very bulky garment.<ref>Mitchell, Rebecca, ed. "3. 'George H. Darwin, ‘Development in Dress', ''Macmillan’s Magazine'' 26 (September 1872), pp. 410–16." Section 1: Fashion Theory in the Nineteenth Century. ''Fashioning the Victorians: A Critical Sourcebook''. Bloomsbury Visual Arts, 2018.</ref> (125 of 565)</blockquote> * ulster overcoat for travel. * "Man's single- or double-breasted overcoat with waist belt. Initially had hood, but by 1870s was detachable. In 1875, the ticket pocket was added on the left sleeve above the cuff."<ref name=":31" /> (304) * "Travel called for an ulster — a long, loose, heavy overccoat — or for an Inverness coat with attached cape."<ref name=":25" /> (527) * "Heavy tweed coats for travel such as the ulster had half-belts and box pleating in back."<ref name=":25" /> (551) * "men’s overcoat with attached waist-length cape, popular in the nineteenth century."<ref name=":32" /> (530 of 565) ===== Inverness Coat ===== * an Inverness coat with up to five cape collars and a high curved collar. * Lewandowski: "(1840–1865 C.E.) to 20th century. * Worn after 1858, man's large, loose, knee-length overcoat with fitted collar and long cape."<ref name=":31" /> (143) * An Inverness coat had a high standing collar as well as up to 5 capes over a knee-length, loose overcoat.<ref name=":31" /> (143) * In the 1880s, the Inverness was sometimes sleeveless, so the capes were not merely decorative. * "men’s overcoat, with long, full, open sleeves, giving a cape-like appearance from the front; worn from the mid-nineteenth century to the early twentieth century as formal wear."<ref name=":32" /> (523 of 565) [[File:Carson, Pirie, Scott & Co. Macintosh, 1893.jpg|thumb|360x360px|Gentleman's Macintosh, 1893]] ===== Mackintosh ===== * "Introduced in 1836, short loose overcoat made of Mackintosh's patent India-rubber cloth. Came in drab or dark green."<ref name=":31" /> (181) * "waterproofed overcoat, named after its inventor [Charles Macintosh]; now used generically to refer to raincoat."<ref name=":32" /> (524 of 565) * [according to Wikipedia, the spelling ''Mackintosh'' is now standard.] ===== Paletot ===== "short, loose overcoat for men or women."<ref name=":32" /> (526 of 565) <ref name=":24" />Kay, Fiona and Neil R. Storey, ''Victorian Fashions for Women'', Pen & Sword History, Yorkshire - Philadelphia, 2022 ==== Hats ==== The upper-class continued to wear top hats, and [[bowler hats]] (known in America as a derby) were worn by the working class. 1830s This class of men also wore round cloth caps, often seen on male children. The straw boater was the most popular hat by the end of the century and was worn by all of the classes. Men wore [[top hats]], with wide brims in sunny weather. 1830s - 1900 Top hats briefly became the very tall "stovepipe" shape, but a variety of other hat shapes were popular. Homburgs, deerstalkers and “Trilbies” were also popular. Buck, p. 198-199 (George de Maurier novel ''Trilby'') Hats were ''de rigueur'' for all Victorians, all classes, all ages, all genders. ==== Shoes ==== [[File:Men's fashion silhouette of 1837.jpg|thumb|Men's coats, 1837]] [[File:Lev Wittgenstein by F. Kruger.JPG|thumb|Lev Wittgenstein by F. Kruger, 1836]] === 1830s and 1840s === For men's fashion, the 1830s and 1840s were dominated by a defined waist, lean limbs and tall hats. Working-class men had been wearing trousers for some time, but by the 1830s and '40s, middle- and upper-class men generally wore frock coats and trousers for casual or less formal attire in the city. In the country, what they wore depended on what they were doing — hunting, riding, shooting and so onen[[File:Man's Frock Coat LACMA M.2007.211.61 (1 of 4).jpg|alt=Male mannequin wearing a light-colored thigh-length coat similar to a suit jacket and a top hat|thumb|Men's frock coat, c. 1845]] [[File:Stockholms mode-journal- Tidskrift för den eleganta werlden 1847, illustration nr 2.jpg|thumb|Stockholm's fashion magazine, 1847]]Some men wore corsets during this time, so the waist was nipped in and the skirt of the frock coat flared out. The sleeves of their coats and jackets were slightly puffed at the shoulders. The trouser legs were straight with a strap under the instep. The figure on the left in the fashion plate from ''Modes de Paris Journal des Tailleurs'' (right) illustrates this silhouette very clearly as well as the frock coat, the strap under the instep, and the puffed shoulders. ==== Coats and Jackets ==== Frock coats had become fashionable for day wear in the 1820s<ref name=":25" />{{rp|474}} and were worn throughout the century. In the 1830s frock coats were tightly fitted and closed with buttons. The more tailored frock coats had a waist seam and a flared skirt almost to the knees. The main changes in frock coats in these two decades were in the colors and the neck treatments (collar and lapels). Initially frock coats were not necessarily black. They could be colorful — like "plum, mulberry, brown, bright blue, and bottle green" — with "contrasting velvet collars."<ref name=":25" />{{rp|474}} The truly bright, saturated colors made possible by synthetic dyes, however, were a couple of decades away still and were never used for frock coats. Middle- and upper-class men limited their use of tailcoats to evening wear and more formal occasions. (In the 1847 Stockholm fashion magazine, below right, the figure in the center is wearing a tailcoat.) A cutaway morning coat was worn with light trousers for formal events during the daytime, and a dark tail coat and trousers were worn in the evening. ==== Shirts ==== Shirts were made of linen or cotton with low collars, occasionally turned down, and were worn with wide [[cravats]] or neck ties. Before they were mass produced, shirts made of finer linen or cotton were tailored for upper and wealthy middle-class men. Depending on occupation, working-class men's shirts were made from a rougher, home-woven linen or cotton, often shaped loosely like a smock and sometimes without a front closure. Shirts were sometimes as long as knee-length. ==== Trousers ==== Men had adopted trousers over knee breeches for semi-formal dress "around 1815"<ref name=":31" /> (298) beginning after the French Revolution.<ref name=":26" /> (416) They were wearing trousers both for formal and semi-formal dress by the 1830s. Initially trousers "fit quite snugly ..., but in the 1840s they became looser."<ref name=":25" /> (477) Upper-class and aristocratic men still wore knee breeches at court and loose-fitting breeches (in the form of knickerbockers) for country wear and some sports, like riding and golf. Generally, however, they wore trousers more than they wore breeches. Men flocked to them once trousers became a stylish option because the looser fit was warmer in cold weather and more comfortable than the tight-fitting knee breeches from earlier in the century. Ready-made men's clothing was available in the US early, but by the 1840s ready-made suits were making an impact in Europe and the UK,<ref name=":26" /> (419–420) especially outside the upper classes. Aristocrats and upper middle class could afford the well-tailored cut and fit of individually hand-sewn trousers and coats. ==== Waistcoats ==== Waistcoats were both single- or double-breasted, with shawl or notched collars, and might be finished in double points at the lowered waist. Collars gradually lowered over the course of the two decades. Often the colorful vests were decorated with fur or velvet collars. “Waistcoats remained colorful, decorative items in men’s wardrobes after the rest of their costumes had become plain.” (Payne 2 460-462) <nowiki>:</nowiki> "During the 1820s and 1830s, men sometimes wore two waistcoats, in combinations like white velvet over rose-and-gold brocade."<ref name=":25" /> (474) ==== "Overcoats ==== Men wore a variety of topcoats or overcoats. Surtouts were overcoats built like long frock coats, like the one worn by Lev Wittgenstein in the portrait (above right). The redingote was most popular in the 1830s and 1840s. ==== Original Text ==== During the [[1840s in fashion|1840s]], men wore tight-fitting, calf length [[frock coat]]s and a [[waistcoat]] or vest. Sleeves were full at the top and waists were tight, creating an hourglass form. For more formal occasions, a cutaway morning coat was worn with light trousers during the daytime, and a dark tail coat and trousers was worn in the evening. Shirts were made of linen or cotton with low collars, occasionally turned down, and were worn with wide [[Cravat (early)|cravat]]s or neck ties. Men wore [[top hat]]s, with wide brims in sunny weather. === 1850s === The 1850s revealed several industrial inventions that significantly impacted clothing. First, the Industrial Revolution began (and still does today) with machines to weave fabric and machines to sew fabrics. Manufacturers quickly learned that the majority of the population was working class. Theirs were the simplest, least trimmed garments made in the nineteenth century. Second, mass production of shirts, trousers and coats changed how most people shopped for clothes. The aristocracy and upper middle class folks could still have their clothes made to specifically fit their bodies. Manufacturers knew that they could not mass produce clothing for each individual’s body. They invented generic sizing in small, medium, and large. They could, therefore, produce many more items of clothing with generic sizing. Third, Isaac Singer patented and began to manufacture home or domestic sewing machines (treadle machines) enabling more form-fitted '''dresses''' to be constructed for an individual’s specific shape and size. The fourth item to impact fashion and clothing was the invention of the paper pattern. These were introduced in fashion magazines targeting women. Almost all women were taught to sew by hand, whether they were aristocrats or working class. Sewing machines enormously speeded up the '''process of constructing from hours to minutes'''. Finally, aniline dyes made colors brighter and longer lasting. Prints and stripes, checks and plaids, fabrics had much more vibrant color with aniline dyes. The Industrial Revolution impacted the working class and changed their lives the most. children's clothes? Women made men's clothing too According to Judith Flanders, working-class men's clothes could be colorful. For example drivers of hansom cabs () dressed more up-scale, and drivers of hackneys () did not.<blockquote>While hackney drivers were also considered to be stereotypically shabby, hansom-cab drivers were generally represented as smartly dressed. A print in 1850 showed a driver in a snappy brown coat instead of the coachman’s heavy multiple-caped outfit, pale green striped trousers, short boots and top hat, the [167–168] reins held daintily in his gloved hands. Both cab and coach drivers wore top hats, but cabbies of a sporting bent later switched to bowlers, and in summer donned bright checked outfits.<ref name=":23">{{Cite book|title=The Victorian City: Everyday Life in Dickens' London|last=Flanders|first=Judith|publisher=Thomas Dunne Books|year=2012|location=New York, New York}}</ref> (167–168 [of 972])</blockquote> A variety of silhouettes was seen in the 1850s. Trousers were long and slim with a strap under the instep of the shoe. ==== Coats and Jackets ==== "Although the frock coat was worn throughout the century, it lost its dominant position in the 1850s, when the morning coat began to replace it."<ref name=":29" /> A jacket shorter than the frock coat or morning coat that had visible pockets began to be worn in about 1850. Cutaway tail coats were still reserved for formal occasions. All of these coats could be single or double breasted. They were called “ditto suits” by those who wore them because the coat, trousers, and waistcoat were all made from the same fabric. There were morning coats and cutaway morning coats; there were Norfolk jackets and ditto suits. The most formal were the cutaway tail coats for evening wear and balls; and the least formal were the boxy shaped sack coats. By the 1860s, it had become the most popular casual coat. ==== Shirts ==== During the [[1850s in fashion|1850s]], men started wearing shirts with high upstanding or turnover [[collar (clothing)|collars]] and [[necktie#Four-in-hand|four-in-hand necktie]]s tied in a bow, or tied in a knot with the pointed ends sticking out like "wings." ==== Trousers ==== Trousers had fly fronts and breeches were used for formal functions and knickers (short pants fuller cut than breeches) for horseback riding. Men's choice to wear trousers is an instance of the importance of comfort and convenience outweighing style and presentation, a value that increased in importance through the 20th century. ==== Waistcoats ==== Waistcoats remained the one garment that could be brightly colored and copiously trimmed on exotic fabrics. Waistcoats show that men were concerned with decorative elements in their ensemble. ==== Notes & Quotes ==== * transition from frock coats to ditto suits, 1850s (Payne, 463) ==== Hats ==== The upper-class continued to wear top hats, and [[bowler hat]]s were worn by the working class. Caps ==== Overcoats ==== Overcoats were cut fuller with wider sleeves and no extra fullness at the shoulder. Unlike the redingote, the overcoats had straight seams to the knee length. Many had wide lapels that reached below the waist. Working class men and their families benefitted more from the industrial revolution in regards to clothing.  Manufacturers marketed to them because because they were the largest class. [[File:Gazette of Fashion, February 1865, RP-P-2009-2675.jpg|thumb|1865, Frock coats, etc. (Paris)]] [[File:Gazette of Fashion, October 1864, RP-P-2009-2673.jpg|thumb|1864, Frock coats, etc., Paris]] [[File:Broadway fashions, New York LCCN2003677917.jpg|thumb|Butterick, Spring-Summer 1866, Broadway Fashions]] [[File:Four young men wearing frock coats - DPLA - 4706a21c9267c45034d51c8fc5309251 (page 1).jpg|thumb|1860s, working class?, ill fitting, frock coats, trousers, shirts, vest, derby hats]] === 1860s === [[File:Corporal frock coat 1862 med.jpg|thumb|Corporal frock coat 1862, 9-botton military]]The 1860s saw fewer inventions that influenced or changed the way people were acquiring clothes. But the changes begun by mass production continued with the working class. Little changed for the higher classes, except maybe paper patterns and sewing machines. The different shape and size in clothing continued to provide slightly different silhouettes for men in the upper and middle classes. As women's clothes grew more complex in cut and style, men's clothes became simpler in cut and style. ==== Coats and Jackets ==== Individualized fittings continued for upper class and wealthy middle class clients. (Working class as well as middle and upper class.) Working class was well over 60% of the population. For the largest class, ready-made garments were ideal for men and women who were working class. For the two upper classes morning coats still led the way but frock coats were still in demand and worn in business and more casual situations. Leisure wear like knickers and ditto suits became more popular in the 1860s. Haute couture wanted every occasion or event to have special clothing. In some ways men dressed more alike (coat, trousers, waistcoat) and in some ways there was more variety in the cut of their coats and in the manufactured clothing they could buy. Many upper class men still had their shirts custom made. Frock coats were shortened to knee-length and were worn for business, while the mid-thigh length [[sack coat]] slowly displaced the frock coat for less-formal occasions, with the overall effect of a looser silhouette. The Prince of Wales: "For the countryside such as at Sandringham, he permitted an informal dress code. The Henry Poole ledger marked as 'HRH 1865' is for an evening coat without tails, the first 'dinner jacket.'"<ref name=":26" /> (424) ==== Shirts ==== Ready-made shirts rarely were seen since shirts were more underwear than outerwear. Factories began to make and sell detachable collars and cuffs. It was more convenient to replace collars and cuffs each day than the time it took a servant (working class) to wash and starch enough to look like the celluloid many of those collars were made of. ==== Trousers ==== Trousers were cut full and boxy during most of the 1850s and 1860s. The strap under the shoe disappeared and trouser legs reached the back of the heel in length. Knickers were still worn for hunting or riding and breeches were still ''de rigueur'' at court. ==== Waistcoats ==== Waistcoats remained decorative and worn with most of the coats that were popular. The young “dandies” wore the most colorful and decorated waistcoats. These “dandies” gave their highest priority to their appearance. They were the avant garde of haute couture for men. ==== Necks Treatments ==== In the [[1860s in fashion|1860s]], men started wearing wider neckties that were tied in a bow or looped into a loose knot and fastened with a stickpin. ==== Hats ==== Top hats briefly became the very tall "stovepipe" shape, but a variety of other hat shapes were popular. ==== Overcoats ==== The single-breasted redingote continued in popularity among the aristocracy and upper middle-class.  These coats were often “in colors such as plum, mulberry, brown, bright blue, and bottle green . . . [with] contrasting velvet collars.” Payne2 p. 474 [[File:Mens Coats 1872 Fashion Plate.jpg|thumb|upright|Drawing of Victorian men 1870s]] [[File:Ashurst frock coat.jpg|thumb|Ashurst Frock coat]] [[File:Grand Duke Alexis Alexandrovich of Russia Wearing a Frock Coat; Standing (fbc266c2feca43f6ad5b44e031635a8d).tif|alt=Old photograph of a man wearing a dark thigh-length coat similar to a suit coat with light-colored trousers|thumb|Grand Duke Alexis Alexandrovich of Russia Wearing a Frock Coat, c. 1872]] [[File:Caillebotte Hugot.jpg|thumb|Portrait of Paul Hugot, 1878]] [[File:Oscar Wilde (1854-1900), by Hills & Saunders, Rugby & Oxford 3 april 1876.jpg|thumb|Oscar Wilde, 1876, ditto suit]] [[File:FrockCoat.jpg|thumb|English frock coat, 1870s]] === 1870s === To correct and prevent errors being made in court dress, in 1875 the Lord Chamberlain published ''Dress Worn by Gentleman at Her Majesty's Court'', "a summary of regulations for court uniform and dress."<ref>{{Cite book|url=https://www.google.com/books/edition/Dress_worn_by_Gentlemen_at_Her_Majesty_s/pvrbQCXq0MEC?hl=en|title=Dress worn by Gentlemen at Her Majesty's Court|last=Britain)|first=Victoria (Queen of Great|date=1875|language=en}}</ref> This is the kind of thing Bertie really cared about. Define court dress. A portly, boxy silhouette was sought for most of the 1870s. Older men whose stomachs had spread outward and thus looked prosperous to the Victorians were the ideal for men’s high fashion. Sack coats and trousers were cut a little wider in the legs. Corduroy for trousers and muslin for shirts was often used in working class clothing. ==== Coats and Jackets ==== There were minor changes to some of the coats Victorian men wore. Frock coats were shortened to the knee. Sack coats (or ditto coats — the forerunner of the suits worn by men in the western cultures of the twentieth and twenty-first centuries) were found to be so comfortable that most men of the upper and middle classes had a ditto suit. Men still wore morning coats and the aristocracy still wore cutaway coats with trousers to parties and balls but cutaway coats with knee breeches at court. ==== Shirts ==== Although ready-made shirts were available, the upper and middle classes still wore bespoke clothing hand-made, with better fabric and an excellent fit but stitched on machines. The suits and shirts made for the working class were of cheaper fabrics. ==== Trousers ==== Most men were wearing trousers  all of the time (except at court) and have worn them ever since. Trousers had button flies by the 1870s which most men found to be much more convenient than laces. Trousers did not “ride up” the leg in the way that knee breeches did when dancing or sitting. If a man did not have fashionable legs, they could be obscured behind trousers. ==== Waistcoats ==== White waistcoats began to be worn by men. Black were also worn when mourning. Changes in the waistcoat could be seen but were very subtle. For example, collars were lowered as the neckline grew deeper and deeper in front, revealing more of the fancy vest. ==== Overcoats ==== A longer version of the standard overcoat, “sometimes with fur collar, cuffs, and lining” was often worn for warmth. Payne2 p. 519 ==== Original Text ==== During the [[1870s in fashion|1870s]], three-piece suits grew in popularity along with patterned fabrics for shirts. Neckties were the four-in-hand and, later, the [[Ascot tie]]s. A narrow ribbon tie was an alternative for tropical climates, especially in the Americas. Both frock coats and sack coats became shorter and more form fitting. Flat straw boaters were worn when boating. [[File:Elliott & Fry10a.jpg|thumb|William Gladstone, 1887, morning coat]] [[File:British politicians gambling at Ascot Wellcome V0050378.jpg|thumb|British Politicians Gambling at Ascot, 1884]] [[File:Scribner's magazine (1887) (14595087238).jpg|thumb|1887, types of American servants]] === 1880s === The silhouette narrowed and straightened. That is, the line went straight down without the flare of skirts on the coats. This smooth line had few decorations. Men wore hardly any jewelry. They might have a boutonniere or a ring.  Suits were not  decorated. All coats were straighter and shorter. Depending on the time of day, the Prince of Wales might change his clothes (thus, his silhouette) up to six times per day,<ref name=":28" /> (129) and some aristocrats and upper-class men would follow his lead. ==== Coats and Jackets ==== Although the frock coat was worn throughout the nineteenth century, the single fabric sack suit was worn for casual wear and was beginning to be seen as a businessman’s suit.  Morning coats were still in use for some events as well as casual occasions. The modern tuxedo or Cowes jacket appeared and was worn for formal occasions. The tuxedo is still worn as formal dress today. ==== Shirts ==== Shirts were still custom made for the rich and the working class bought ready-made shirts. The shirt remained basically the same but it could handle the different neck treatments.  Even mass produced shirts could have buttons or button holes for detachable collars and cuffs. ==== Trousers ==== Trouser legs began to decrease in width as the coat became narrower and emphasized strong vertical lines. ==== Waistcoats ==== During the 1880s waistcoats were called vests [is it regional?] and much of their bold trim and colorful fabric disappeared and vests were constructed from the same fabric as the coat and trousers. The business suit for men developed in the 1880s and was firmly established in the 1890s. ==== Overcoats ==== Versions of topcoats increased, adding an ulster overcoat for travel and an Inverness coat with up to five cape collars and a high curved collar. Double breasted topcoats were popular and some were knee-length and some calf-length. ==== Original Text ==== During the [[1880s in fashion|1880s]], formal evening dress remained a dark tail coat and trousers with a dark waistcoat, a white bow tie, and a shirt with a winged collar. In mid-decade, the dinner jacket or [[tuxedo]], was used in more relaxed formal occasions. The [[Norfolk jacket]] and tweed or woolen breeches were used for rugged outdoor pursuits such as shooting. Knee-length topcoats, often with contrasting velvet or fur collars, and calf-length overcoats were worn in winter. Men's shoes had higher heels and a narrow toe. [[File:American fashions - The Jno. J. Mitchell Co. Litho., New York. LCCN2006676665.jpg|thumb|Fashion plate from the Jno. J. Mitchell Co., New York, 1899]] [[File:Alfred Milner Vanity Fair 1897-04-15.jpg|thumb|Alfred Milner, 1897, Leslie Ward ("Spy"), for Vanity Fair]] [[File:Nobl-08.jpg|thumb|Sherlock Holmes, 1892, Sidney Paget]] [[File:PUK1894page380rector poor.jpg|thumb|Rector and Drinker, 1894]] === 1890s === The dominant silhouette for men became the sack suit in the 1890s and while changes in the sack have been subtle, it remains the dominant silhouette today. ==== Coats and Jackets ==== “Sacks became ''the'' favored style of suit coat,”(Payne2, p. 532) especially among the younger men. Frock coats were associated with older men along with the cutaway coat. There were many more choices for sports wear and leisure wear than ever before. Norfolk jackets were often worn while hunting. Most informal styles could be purchased ready made. The rich still had their clothing custom made by tailors but even working class men could purchase most ready-made versions of the coats, trousers, and vests. ==== Shirts ==== Shirts could be made of patterned fabric as well as solid colors and white.  Shirts were beginning to be acceptable as outer wear especially when worn as sporting clothing. ==== Trousers ==== Early in the 1890s, “slim, straight trousers were news.” (Payne 2, p. 532) Trousers could be plaid or checked as well as the same fabric as the coat and vest. ==== Waistcoats ==== Fancy fabrics and bold trim were not seen much as the more subdued vest dominated the fashion scene. ==== Neck Treatments ==== In the 1860s, men started wearing wider neckties that were tied in a bow or looped into a loose knot and fastened with a stickpin. ==== Overcoats ==== “Topcoats included fingertip-length styles made of twill covert cloth. Single-breasted, fly-front overcoats were fashionable too. Roomy overcoats with fur linings and collars warmed the wealthy. Inverness overcoats remained in vogue.” Payne2, p.532 ==== Original Text ==== Starting from the [[1890s in fashion|1890s]], the [[blazer]] was introduced, and was worn for sports, sailing, and other casual activities.<ref>{{cite web|last=Landow|first=George|url=http://www.victorianweb.org/art/costume/90s/2.html|title=Men's informal sporting dress, late 1880s and '90s}}</ref> Throughout much of the Victorian era most men wore fairly short hair. This was often accompanied by various forms of facial hair including moustaches, side-burns, and full beards. A clean-shaven face did not come back into fashion until the end of the 1880s and early 1890s.<ref>{{cite web|url=http://www.victorianweb.org/art/costume/nunn21.html|title=Victorian Men's Fashions, 1850–1900: Hair}}</ref> Distinguishing what men really wore from what was marketed to them in periodicals and advertisements is difficult, as reliable records do not exist.<ref name="shannon597">{{cite journal|last=Shannon|first=Brent|title=Refashioning Men: Fashion, Masculinity, and the Cultivation of the Male Consumer in Britain, 1860–1914|journal=Victorian Studies|year=2004|volume=46|issue=4|pages=597–630|doi=10.1353/vic.2005.0022}}</ref> === Notes === *Men's suits buttoned higher up than today (Payne, 467) * Norfolk jackets and sack suits (Payne, 471) * formal attire, tuxedos with tails, cutaways (Payne, 469) * Keith Middlemas (https://archive.org/details/storyoffiesta00huxf/page/200/mode/2up?q=fashion) *Brent Shannon. "Refashioning Men: Fashion, Masculinity, and the Cultivation of the Male Consumer in Britain, 1860–1914." Victorian Studies 46, no. 4 (Summer 2004): 597–630. == Hats and headwear == [[File:Ford.madox.brown.last.emma.study.jpg|thumb|''Emma Hill'' by [[Ford Madox Brown]] (1853), a woman wearing a later version of the [[poke bonnet]]]] [[File:Hoed,_objectnr_KA_1237.tif|left|thumb|Perched bonnet style of the early 1870s.]] Hats were crucial to a respectable appearance for both men and women. === Men's Hats === The top hat, for example, was standard formal wear for upper- and middle-class men.[Payne] According to Blanche Payne, "The high top hat, usually black or dark gray, had reached its characteristic shape by 1798 and dominated the entire nineteenth century." (457–58) Although top hats were the dominant hat in the 19th century, other hats became popular for working classes and lower income middle class. “The style of an individual’s hat varied, depending on fashion and their social position, as well as their profession or chosen activity..” ''Goodman 53 of 460'' Other hats that became necessary and popular include the Derby, the straw Boater, and a flat cap with a short brim. In many cases the class, work activity and income could be determined by what kind of hat was on the head of the wearer. For some men, a hat supporting a particular sport or team was important. The Derby or Bowler hat was designed by William and Thomas Bowler, brother shopkeepers in 1849. ''(Goodman 55 of 460)'' It cost less than a top hat but  lasted longer and was soon worn by middle class bankers and clerks. Straw boaters were worn by the aristocracy for casual events and working class factory workers and agricultural laborers. By 1901 working class men had changed their preference to the flat caps which became the most popular hat for the workers. Headdress for men was an essential part of dress for the entire period of the Victorian age, from the 1830s through the end of the century. Judith Flanders describes the hats worn by men in London, <blockquote>It is difficult to bear in mind the importance of hats as not only markers of class and income, but also as indicators of respectability. [509–519] [George Augustus] Sala commented that "every" man throughout the history of the world "must, necessarily and habitually, wear some kind of covering to his head". Postmen wore hats, small children wore hats, field labourers and market gardeners wore hats, cricketers, skaters — all sportsmen — wore hats. It was, self-evidently, impossible to go outdoors without one. ... Those in professional occupations wore pot hats, as did clerks and all those with pretensions to middle-class status. Even doctors' delivery boys wore battered hand-me-down pot hats: "the nap rusty, the band a mournful strip of tarnished lace; but still a Hat", which "stamps him as being associated, in however slender a manner, with a learned profession". Cloth caps were for labourers, for costers and for boys. ... Artisans wore caps made out of paper, which they folded [510–511] themselves and so could easily replace as they became dirty.<ref name=":23" /> (509–511 [of 972]) </blockquote>A pot-hat is a kind of derby or bowler in men's hats. (Lewandowski, 237) ==== Original Text ==== Hats were crucial to a respectable appearance for both men and women. The top hat, for example, was standard formal wear for upper- and middle-class men.<ref name=":4">{{Cite book |last=Steele |first=Valerie |url=https://archive.org/details/fashioneroticism0000stee |title=Victorian Fashion. Fashion and Eroticism: Ideals of Feminine Beauty from the Victorian Era to the Jazz Age |publisher=Oxford University Press |year=1985 |isbn=978-0-19-503530-8 |pages=[https://archive.org/details/fashioneroticism0000stee/page/51 51]–84 |url-access=registration}}</ref> For women, the styles of hats changed over time and were designed to match their outfits. === Women's Hats === For a discussion of the history of plumes and feathers, see [[Social Victorians/Victorian Things#Ostrich Plumes and Prince of Wales's Feathers|Ostrich Plumes and Prince of Wales's Feathers in ''Victorian Things'']]. ==== Original Wikipedia Text ==== During the early Victorian decades, hats were modest in size and design, straw and fabric bonnets being the popular choice. [[Poke bonnet]]s, which had been worn during the late [[Regency period]], had high, small crowns and brims that grew larger until the 1830s, when the face of a woman wearing a poke bonnet could only be seen directly from the front. They had rounded brims, echoing the rounded form of the bell-shaped hoop skirts. Bonnets shrunk at the end of the 1860s and moved to a perched position in the early 1870s as hairstyles grew in scale and intricacy. This led to the popularization of hats, which became the headwear of choice for the remainder of the Victorian era.<ref name="g4223">{{cite book |last=Cunnington |first=Cecil Willett |title=English Women's Clothing in the Nineteenth Century |date=1990-05-01 |publisher=Courier Corporation |isbn=0-486-26323-1 |publication-place=New York |page=}}</ref> [[File:The_London_and_Paris_ladies'_magazine_(Apr_1885)_03.png|thumb|Flower pot style hat of 1885.]] The 1880s saw a hat inspired by the top hat for women known as the flowerpot hat, and the 1890s saw the popularity of the boater. The hats of the late Victorian era were covered with elaborate creations of silk flowers, ribbons, and above all, exotic plumes; hats sometimes included entire exotic birds that had been stuffed. Many of these plumes came from birds in the Florida everglades, which were nearly made entirely extinct by overhunting. By 1899, early environmentalists like [[Adeline Knapp]] were engaged in efforts to curtail the hunting for plumes. By 1900, more than five million birds a year were being slaughtered, and nearly 95 per cent of Florida's shore birds had been killed by [[Plume hunting|plume hunter]]s.<ref>{{cite web|title=Everglades National Park|url=https://www.pbs.org/nationalparks/parks/everglades/|archive-url=https://web.archive.org/web/20090927085907/http://www.pbs.org/nationalparks/parks/everglades/|url-status=dead|archive-date=27 September 2009|publisher=PBS|access-date=7 November 2011}}</ref> == Shoes == The women's shoes of the early Victorian period were narrow and heelless, in black or white satin. By 1850s and 1860s, they were slightly broader with a low heel and made of leather or cloth. Ankle-length laced or buttoned boots were also popular. From the 1870s to the twentieth century, heels grew higher and toes more pointed. Low-cut pumps were worn for the evening.<ref name=":4" /> == Cosmetics == [[Victorian-era cosmetics]] were typically less obvious than ours. However, small amounts of pale face powder or powdered blush were widely used.<ref>{{Cite book |last=Goodman |first=Ruth |title=How to be a Victorian |date=2014 |publisher=Penguin Books |isbn=978-0-670-92136-2 |location=London}}</ref> Tints were sometimes added to face creams. Some cosmetics contained toxic or caustic ingredients like lead, mercury, ammonia, and arsenic {{Citation needed|date=October 2025}}. Hair color ==Mourning black== {{See also |Mourning stationery}} [[File:The royal children in mourning Mar 1862.jpg|thumb|Victoria's five daughters (Alice, Helena, Beatrice, Victoria and Louise), photographed wearing mourning black beneath a bust of their late father, Prince Albert (1862)]] [[File:Mourning dress MET 50.40.3a-b front CP4.jpg|alt=Black Victorian mourning dress|thumb|Mourning Dress, 1894–95]] In Britain, black is the colour traditionally associated with mourning for the dead. The customs and etiquette expected of men, and especially women, were rigid but evolving during much of the Victorian era. The expectations depended on a complex hierarchy of close or distant relationship with the deceased. (Davidoff) The closer the relationship, the longer the mourning period and the wearing of black. The wearing of full black was known as First Mourning, which had its own expected attire, including fabrics, and an expected duration of 4 to 18 months. Following the initial period of First Mourning, the mourner would progress to Second Mourning, a transition period of wearing less black, which was followed by Ordinary Mourning, and then Half-mourning. Some of these stages of mourning were shortened or skipped completely if the mourner's relationship to the deceased was more distant. Half-mourning was a transition period when black was replaced by acceptable colours such as lavender and mauve, possibly considered acceptable transition colours because of the tradition of [[Church of England]] (and [[Catholic Church|Catholic]]) clergy wearing lavender or mauve [[Stole (vestment)|stoles]] for funeral services, to represent the [[Passion (Christianity)|Passion of Christ]].<ref>{{cite web|title=The Colors of the Church Year|url=http://fullhomelydivinity.org/articles/colors.htm|publisher=Consortium of Country Churches|access-date=6 November 2011|archive-date=13 November 2011|archive-url=https://web.archive.org/web/20111113075214/http://fullhomelydivinity.org/articles/colors.htm|url-status=dead}}</ref> The mourning dress worn by Queen Victoria (below, right) "shows the traditional touches of mourning attire, which she wore from the death of her husband, Prince Albert (1819–1861), until her own death."<ref>{{Cite web|url=https://www.metmuseum.org/art/collection/search/155839?&searchField=All&sortBy=Relevance&deptids=8&ft=queen+victoria&offset=0&rpp=20&amp;pos=2|title=Mourning Dress, 1894–95|last=The Metropolitan Museum of Art|date=7 September 2019|website=The Metropolitan Museum of Art|access-date=7 September 2019}}</ref> Dating from 1894–95, Queen Victoria wore this dress as a result of the death of the eldest son of the Prince and Princess of Wales, Eddy, in line to the throne. === Norms for mourning=== ''Manners and Rules of Good Society, or, Solecisms to be Avoided'' (London, Frederick Warne & Co., 1887) gives clear instructions, such as the following:<ref>{{cite book|last=Flanders|first=Judith|title=The Victorian House|year=2003|publisher=Harper Perennial|location=London|isbn=0-00-713189-5|pages=378–83}}</ref> {| class="wikitable" |- ! Relationship to deceased !! First mourning !! Second mourning !! Ordinary mourning !! Half-mourning |- | Wife for husband || 1-year, 1-month; [[bombazine]] fabric covered with [[Crape|crepe]]; [[widow's cap]], [[lawn cuff]]s, collars || 6 months: less crepe || 6 months: no crepe, silk or wool replaces bombazine; in last 3 months jet jewellery and ribbons can be added || 6 months: colours permitted are grey, lavender, mauve, and black-and-grey |- | Daughter for parent || 6 months: black with black or white crepe (for young girls); no linen cuffs and collars; no jewellery for first 2 months || 4 months: less crepe || – || 2 months as above |- | Wife for husband's parents || 18 months in black bombazine with crepe || – || 3 months in black || 3 months as above |- | Parent for son- or daughter-in-law's parent || – Black armband in representation of someone lost || – || 1-month black || – |- | Second wife for parent of a first wife || – || – || 3 months black || – |} The complexity of these etiquette rules extends to specific mourning periods and attire for siblings, step-parents, aunts and uncles distinguished by blood and by marriage, nieces, nephews, first and second cousins, children, infants, and "connections" (who were entitled to ordinary mourning for a period of "1–3 weeks, depending on level of intimacy"). Men were expected to wear mourning black to a lesser extent than women, and for a shorter mourning period. After the mid-19th century, men would wear a black hatband and black suit, but for only half the prescribed period of mourning expected of women. Widowers were expected to mourn for a mere three months, whereas the proper mourning period expected for widows was up to four years.<ref>{{cite book|last=Flanders|first=Judith|title=The Victorian House|year=2003|publisher=Harper Perennial|location=London|isbn=0-00-713189-5|pages=378–9}}</ref> Women who mourned in black for longer periods were accorded great respect in public for their devotion to the departed, the most prominent example being Queen Victoria herself. It was not uncommon for a widow who did not remarry to wear half-mourning for the rest of her life, except when another death necessitated full mourning. For example, Alexandra, Princess of Wales wore half-mourning for the rest of her life after her eldest son Eddy died in 1894. Empress Elisabeth of Austria did the same, as did Empress Eugénie of France. They reverted to full mourning when appropriate, but they never wore less than half-mourning after their sons' deaths. Women with lesser financial means tried to keep up with the example being set by the middle and upper classes by dyeing their daily dress. Dyers made most of their income during the Victorian period by dyeing clothes black for mourning.<ref>{{cite book|last=Flanders|first=Judith|title=The Victorian House|year=2003|publisher=Harper Perennial|location=London|isbn=0-00-713189-5|page=341}}</ref> == Technological advancement == The technological changes that affected the manufacture and consumption of clothing in the Victorian age included the following: * the mass production of fabrics — for example, "by the early 1850s there were thousands of steam-powered looms churning out millions of miles of fabric every year"  [62] * the invention of aniline dyes, which were much more vibrantly colored and resistant to fading than the natural dyes that had been used. — . Invented by chemist [[William Henry Perkin]] in 1856, the first aniline dye mauveine (or mauve) "wash[ed] the fashionable landscape in a haze of purple."<ref name=":22">{{Cite book|title=The Dress Diary: Secrets from a Victorian Woman's Wardrobe|last=Strasdin|first=Kate|publisher=Pegasus Books|year=2023|location=New York, New York}}</ref> (247) Other intense and, to the Victorians, intensely exciting colors followed, but the new synthetic additions to fabric sometimes included chemicals harmful to their wearers. For example, a "bright-magenta hue was achieved by adding arsenical-based chemicals to existing aniline dyes, brightening the already luminous shades – but these left residues themselves, along with a toxic labour trail in their wake."<ref name=":22" /> (255) Perhaps the most famous of these is arsenic green, used on fabrics, wallpapers, and trim: "The craze for artificial foliage to adorn the heads and dresses of women of fashion in the mid-nineteenth century had seen the proliferation of flower workshops, where young women in their hundreds laboured to produce the lifelike green leaves and blooms that would make a fetching headdress or would trail becomingly across the bodice of a gown. The lushness of the green was achieved by the application of a powder, a pigment that was created by mixing copper and the highly toxic chemical, arsenic trioxide. The physical effects of working with this poisonous compound were horrific. Contemporary medical drawings depict the green hue of the skin and dreadful open lesions on the hands of the maker, whilst the daily gradual ingestion of the powder by the flower girls was eventually fatal."<ref name=":22" /> (255) * the invention of a sewing machine that could be used in the home. Although sewing machines were already in use in the clothing industry, in 1858 Isaac Merritt Singer began to sell "lightweight domestic machines" for home sewing, radically increasing women's control over their own dress.<ref name=":24">{{Cite book|title=Victorian Fashions for Women|last=Kay|first=Fiona|last2=Storey|first2=Neil R.|publisher=Pen & Sword History|year=2022|isbn=978 1 39900 416 9|location=Yorkshire and Philadelphia|pages=}}</ref> (91 [of 298]) * the spread of journalism for women and fashion journalism * the Jacquard loom: "French inventor Joseph-Marie Jacquard’s loom attachment mechanized the weaving of figured fabrics by 1804."<ref name=":25" /> (454) Perhaps not at the same scale as these but as important in 1850s designs was a technology that turned iron into steel, which could then be drawn into fine wires.<ref name=":3">{{Cite book|title=The Culture of Fashion|last=Breward|first=Christopher|publisher=Manchester University Press|year=1995|pages=145–180}}</ref> Steel was refined to a malleable state so that thin blades could be curved into concentric circles (called hoops) and connected with wires to form the cage. Technological advancements not only influenced the economy but brought a major change in the fashion styles worn by men and women. As the Victorian era was based on the principles of gender, race and class.<ref>{{cite journal|last1=Graham|first1=P|title=The Victorian Era|url=https://archive.org/details/in.ernet.dli.2015.261548|journal=Digital Library of India}}</ref> Much advancement was in favor of the upper class as they were the ones who could afford the latest technology and change their fashion styles accordingly. In 1830s there was introduction of horse hair crinoline that became a symbol of status and wealth as only the upper-class women could wear it. In 1850s there were more fashion technological advancements hence 1850s could rightly be called a revolution in the Victorian fashion industry such as the innovation of artificial cage crinoline that gave women an artificial hourglass silhouette without layers of petticoats, which was lighter and more hygienic.<ref>{{cite book|last1=Shrimpton|first1=J|title=Victorian Fashion|publisher=Bloomsbury Shire Publications}}</ref> Synthetic dyes, such as [[mauveine]] (aniline purple), were introduced in 1856, adding bright colours to garments. In 1855's ''[[Haute couture]]'' was introduced as tailoring became more mainstream in years to follow.<ref>{{cite book|last1=Aspelund|first1=Karl|title=Fashioning Society|publisher=Fairchild Books}}</ref> Charles Frederick Worth, a prominent English designer, became popular amongst the upper class though its city of destiny always is Paris. Haute couture became popular at the same time that sewing machines were invented.<ref name="Haute Couture">{{cite book|last1=Martin|first1=Richard|last2=Koda|first2=Harold|title=Haute Couture|publisher=The Metropolitan Museum of Art}}</ref> Princess [[Eugénie de Montijo|Eugenie]] of France wore the Englishman dressmaker, Charles Frederick Worth's couture and he instantly became famous in France though he had just arrived in Paris a few years ago. In 1855, Queen Victoria and Prince Albert of Britain welcomed [[Napoleon III]] and Eugenie of France to a full state visit to England. Eugenie was considered a fashion icon in France. Queen Victoria, who had been the fashion icon for European high fashion, was inspired by Eugenie's style and the fashions she wore.{{Citation needed|date=October 2025}} Later, Queen Victoria also appointed Charles Frederick Worth as her dress maker and he became a prominent designer amongst the European upper class. Charles Frederick Worth is known as the father of the haute couture as later the concept of labels were also invented in the late 19th century as custom, made to fit tailoring became mainstream.<ref>{{cite book|last1=Saillard|first1=Olivier|last2=Zazzo|first2=Anne|title=Paris Haute Couture|publisher=Skira Flammarion}}</ref> By the 1860s, when made-to-fit tailoring was popular in Europe, crinolines were considered impractical. In the 1870s, women preferred more slimmer silhouettes, hence bodices grew longer and the polonaise, a skirt and bodice made together, was introduced. In 1870s the Cuirass Bodice, a piece of armour that covers the torso and functions like a corset, was invented. Towards the end of Victoria's reign, dresses were flared naturally as crinolines were rejected by middle-class women. Designers such as Charles Frederick Worth were also against them. All these inventions and changes in fashion led to women's liberation as tailored looks improved posture and were more practical.<ref name="Haute Couture"/> dressmakers, couturiers, modistes == Home decor == {{main|Victorian decorative arts}} Home decor started spare, veered into the elaborately draped and decorated style we today regard as Victorian, then embraced the retro-chic of [[William Morris]] as well as pseudo-[[Japonaiserie]]. == Myths and Oversimplifications == === Modesty === {{main|Victorian morality}} {{Original research|section|date=May 2008}} [[File:1868-skirt-lengths-girl-ages-Harpers-Bazar.gif|thumb|upright|"The proper length for little girls' skirts at various ages", from ''[[Harper's Bazaar]]'', showing a 1900 idea of how the hemline should descend towards the ankle as a girl got older]]Many myths and exaggerations about the period persist to the modern day. Examples include the idea of men's clothing is seen as formal and stiff, women's as elaborate and over-done; clothing covered the entire body, and even the glimpse of an ankle was scandalous. Critics contend that [[corset]]s constricted women's bodies and lives. Homes are described as gloomy, dark, cluttered with massive and over-ornate furniture and proliferating [[bric-a-brac]]. Myth has it that even piano legs were scandalous, and covered with tiny [[pantalette]]s. === Tight Lacing === Tight-lacing, which was not possible until the development of the grommet in 1828, was famously controversial in the Victorian age, generating many column inches of profitable newspaper copy, in part because it was (and still is) fetishistic and subversive in that adolescent girls used it as a means of rebellion and upper-working- or lower-middle-class shop girls saw it as a means of upward mobility.<ref name=":21">{{Cite book|title=Fashion and Fetishism: Corsets, Tight-Lacing and Other Forms of Body-sculpture|last=Kunzle|first=David|publisher=History Press|year=2013|isbn=978 0 7524 9545 3|location=Stroud, Gloucestershire|pages=}}</ref> (71 [of 1182]) No evidence exists that tight lacing was widespread or particularly dangerous.<ref name=":21" /> () In truth, men's formal clothing may have been less colourful than it was in the previous century, but brilliant [[waistcoat]]s and [[cummerbund]]s provided a touch of colour, and [[smoking jacket]]s and [[robe|dressing gown]]s were often of rich Oriental [[brocade]]s. This phenomenon was the result of the growing textile manufacturing sector, developing mass production processes, and increasing attempts to market fashion to men.<ref name="shannon597"/> Corsets stressed a woman's sexuality, exaggerating hips and bust by contrast with a tiny waist. Women's [[evening gown]]s bared the shoulders and the tops of the breasts. The [[jersey dress]]es of the 1880s may have covered the body, but the stretchy novel fabric fit the body like a glove.<ref>{{cite book |last=Gernsheim |first=Alison |title=Victorian & Edwardian Fashion: A Photographic Survey |year=1981 |publisher=Dover Publications |location=New York |page=65|edition=New |isbn=0-486-24205-6}}</ref> Home furnishing was not necessarily ornate or overstuffed. However, those who could afford lavish draperies and expensive ornaments, and wanted to display their wealth, would often do so. Since the Victorian era was one of increased social mobility, there were ever more ''[[nouveaux riches]]'' making a rich show. The items used in decoration may also have been darker and heavier than those used today, simply as a matter of practicality. London was noisy and its air was full of [[soot]] from countless coal fires. Hence those who could afford it draped their windows in heavy, sound-muffling curtains, and chose colours that didn't show soot quickly. When all washing was done by hand, curtains were not washed as frequently as they might be today. There is no actual evidence that piano legs were considered scandalous. Pianos and tables were often draped with [[shawl]]s or cloths—but if the shawls hid anything, it was the cheapness of the furniture. There are references to lower-middle-class families covering up their [[pine]] tables rather than show that they couldn't afford [[mahogany]]. The piano leg story seems to have originated in the 1839 book, ''A Diary in America'' written by Captain [[Frederick Marryat]], as a satirical comment on American prissiness.<ref>{{cite book |last1=Marryat |first1=C.B. |title=A Diary in America: With Remarks on Its Institutions |date=1839 |publisher=Longman, Orme, Brown, Green, and Longmans |location=London, England |volume=2 |pages=246–247 |url=https://books.google.com/books?id=2-VEAAAAIAAJ&pg=PA246}} From pp. 246-247: "I was requested by a lady to escort her to a seminary for young ladies, and on being ushered into the reception-room, conceive my astonishment at beholding a square piano-forte with four ''limbs''. However, that the ladies who visited their daughters, might feel in its full force the extreme delicacy of the mistress of the establishment, and her care to preserve in their utmost purity the ideas of the young ladies under her charge, she had dressed all these four limbs in modest little trousers, with frills at the bottom of them!"</ref> Victorian manners may have been as strict as imagined—on the surface. One simply did not speak publicly about sex, childbirth, and such matters, at least in the respectable middle and upper classes. However, as is well known, discretion covered a multitude of sins. Prostitution flourished. Upper-class men and women indulged in [[adultery|adulterous]] liaisons. == Gallery == {{gallery |2=A mid-Victorian interior: ''Hide and Seek'' by [[James Tissot]], c. 1877 Image:Winterhalter Elisabeth.jpg|3=Dress designed by [[Charles Frederick Worth]] for [[Elisabeth of Bavaria|Elisabeth of Austria]] painted by [[Franz Xaver Winterhalter]].|4=File:Frith A Private View detail.jpg|5=[[William Powell Frith]]'s painting of 1883 contrasts women's [[Aesthetic dress]] (left and right) with fashionable attire (center).|6=File:Tissot lilacs 1875.jpg|7=Day dress, c. 1875 [[James Tissot]] painting.|8=File:James Abbot McNeill Whistler 011.jpg|9=[[James McNeill Whistler|Whistler]]'s [[Portrait of Lady Meux]], 1882 Image:Jeanna_Samary-Renoir.png|10=[[Pierre-Auguste Renoir|Renoir]]'s portrait of [[Jeanne Samary]] in an [[evening gown]], 1878|11=File:Melville_-_Queen_Victoria.jpg|12=Portrait by [[Alexander Melville (artist)|Alexander Melville]] of [[Victoria of the United Kingdom|Queen Victoria]], 1845|13=File:Henry Treffry Dunn Rossetti and Dunton at 16 Cheyne Walk.jpg|14=An artistic interior: [[Dante Gabriel Rossetti]] reading to [[Theodore Watts-Dunton]] in the drawing room at No. 16 [[Cheyne Walk]], 1882|15=File:Punch - Masculine beauty retouched1.png|16=Men's swimwear: Cartoon from ''[[Punch (magazine)|Punch]]'' by [[George du Maurier]]}} == See also == * [[Emily Clapham]] * [[Victorian decorative arts]] * [[Victorian dress reform]] * [[Victorian morality]] * [[Victoriana]] * [[Women in the Victorian Era]] * [[Charles Frederick Worth]] === Time periods === * [[1830s in fashion]] * [[1840s in fashion]] * [[1850s in fashion]] * [[1860s in fashion]] * [[1870s in fashion]] * [[1880s in fashion]] * [[1890s in fashion]] === Women's clothing === * [[Corset]] * [[Corset controversy]] * [[Tightlacing]] * [[Bloomers (clothing)|Bloomers]] * [[Bodice]] === Contemporary interpretations === * [[Steampunk]] * [[Neo-Victorian]] * [[Lolita Fashion|Lolita]] == References == {{Reflist}} == Further reading == *{{cite book |author=Phipps, Elena| title= ''From Queen to Empress: Victorian dress 1837-1877'' | location=New York | publisher=The Metropolitan Museum of Art | year=1988 | isbn=0870995340| url= http://libmma.contentdm.oclc.org/cdm/compoundobject/collection/p15324coll10/id/69547/rec/235 | display-authors=etal}} * Sweet, Matthew – ''Inventing the Victorians'', St. Martin's Press, 2001 {{ISBN|0-312-28326-1}} == External links == * [http://www.victorians.co.uk/victorian-fashion Victorian Fashion] {{Webarchive|url=https://web.archive.org/web/20180407223711/http://www.victorians.co.uk/victorian-fashion |date=7 April 2018 }} * [https://www.victorianvoices.net/topics/fashion/index.shtml VictorianVoices.net] – Fashion articles and illustrations from Victorian periodicals; extensive fashion image gallery * [http://www.cracked.com/article_19575_5-ridiculous-sex-myths-from-history-you-probably-believe.html Victorian myths] * [http://www.victorianstation.com/lifestylemenu.htm Victorian fashion, etiquette, and sports] {{Webarchive|url=https://web.archive.org/web/20180103162620/http://www.victorianstation.com/lifestylemenu.htm |date=3 January 2018 }} * [http://www.thesmartset.com/article/article12180701.aspx Background on "A Diary in America"] * [http://www.mccord-museum.qc.ca/en/keys/webtours/VQ_P2_17_EN.html Form and Fashion] — the evolution of women's dress during the 19th century (many photographs) * [http://www.mccord-museum.qc.ca/en/keys/games/jeu2/ Educational Game: Mix and Match] — build a 19th-century dress using a virtual mannequin * {{cite web |publisher= [[Victoria and Albert Museum]] |url= http://www.vam.ac.uk/content/articles/v/victorian-dress-at-v-and-a/ |title= Victorian Dress |work= Fashion, Jewellery & Accessories |date= 14 January 2011 |access-date= 2011-04-03}} *[http://cv.vic.gov.au/stories/creative-life/fashion-detective-fashion-fiction-and-forensics/ Fashion detective: Fashion, Fiction and Forensics in nineteenth century Australian fashion] on Culture Victoria {{Timeline of clothing and fashion|state=collapsed}}{{Victorian era|state=collapsed}} [[Category:Victorian fashion| ]] [[Category:19th-century fashion|*]] [[Category:1900s fashion]] [[Category:History of Western fashion]] [[Category:19th century in the arts]] =From ''Women in the Victorian era''= ===Victorian women's fashion=== {{Multiple issues|{{tone|date=March 2023}} {{more footnotes needed|date=March 2023}}|section=y}}{{Further|Victorian fashion}} The ideal Victorian woman was pure, chaste, refined, and modest. This ideal was supported by etiquette and manners. The etiquette extended to the pretension of never acknowledging the use of undergarments (sometimes generically referred to as "unmentionables"). The discussion of such a topic, it was feared, would gravitate towards unhealthy attention on anatomical details. As one Victorian lady expressed it: "[those] are not things, my dear, that we speak of; indeed, we try not even to think of them", in contrast to current norms.<ref>{{cite book |last=Cunnington |first=C. Willett |title=English Women's Clothing in the Nineteenth Century: A Comprehensive Guide with 1,117 Illustrations |publisher=Dover Publications |year=1990 |isbn=978-0-486-26323-6 |pages=20}}</ref> The pretence of avoiding acknowledgement of anatomical realities met with embarrassing failure on occasion. In 1859, the Hon. Eleanor Stanley wrote about an incident where the [[Louisa Cavendish, Duchess of Devonshire|Duchess of Manchester]] moved too quickly while manoeuvring over a [[stile]], tripping over her large [[hoop skirt]]: {{blockquote|[the Duchess] caught a hoop of her cage in it and went regularly head over heels lighting on her feet with her cage and whole petticoats above, above her head. They say there was never such a thing seen – and the other ladies hardly knew whether to be thankful or not that a part of her undergarments consisted in a pair of scarlet tartan [[knickerbockers (clothing)|knickerbockers]] (the things Charlie shoots in) which were revealed to the view of all the world in general and the [[Aimable Pélissier|Duc de Malakoff]] in particular".<ref>{{cite book|last=Cunnington|first=C. Willett|title=English Women's Clothing in the Nineteenth Century: A Comprehensive Guide with 1,117 Illustrations|year=1990|publisher=Dover Publications|isbn=978-0-486-26323-6|pages=20–1}}</ref>}} However, despite the fact that Victorians considered the mention of women's undergarments in mixed company unacceptable, men's entertainment made great comedic material out of the topic of ladies' [[bloomers (clothing)|bloomers]], including men's magazines and music hall skits.<ref>{{cite book |last=Cunnington |first=C. Willett |title=English Women's Clothing in the Nineteenth Century: A Comprehensive Guide with 1,117 Illustrations |publisher=Dover Publications |year=1990 |isbn=978-0-486-26323-6 |pages=22}}</ref> Victorian women's clothing followed trends that emphasised elaborate dresses, skirts with wide volume created by the use of layered material such as [[crinoline]]s, hoop skirt frames, and heavy fabrics. Because of the impracticality and health impact of the era's fashions, a [[Victorian dress reform|dress reform movement]] began among women. The ideal silhouette of the time demanded a narrow waist, which was accomplished by constricting the abdomen with a laced [[corset]]. While the silhouette was striking, and the dresses themselves were often exquisitely detailed creations, the fashions were cumbersome. At best, they restricted women's movements and at worst, they had a harmful effect on women's health. Physicians turned their attention to the use of corsets and determined that they caused several medical problems: compression of the thorax, restricted breathing, organ displacement, poor circulation, and prolapsed uterus.<ref name="O'Connor"/> Articles advocating the reform of women's clothing by the British National Health Society, the Ladies' Dress Association, and the [[Rational Dress Society]] were reprinted in ''The Canada Lancet'', Canada's medical journal. In 1884, Dr J. Algernon Temple of Toronto even voiced concern that the fashions were having a negative impact on the health of young women from the working classes. He pointed out that a young working-class woman was likely to spend a large part of her earnings on fine hats and shawls, while "her feet are improperly protected, and she wears no flannel petticoat or woollen stockings".<ref name="O'Connor"/> [[File:Bloomers.jpg|thumb|1850s illustration of a woman wearing [[bloomers]]]] [[Florence Pomeroy]], Lady Haberton, was president of the Rational Dress movement in Britain. At a National Health Society exhibition held in 1882, Viscountess Haliburton presented her invention of a "[[divided skirt]]", which was a long skirt that cleared the ground, with separate halves at the bottom made with material attached to the bottom of the skirt. She hoped that her invention would become popular by supporting women's freedom of physical movement, but the British public was not impressed by the invention, perhaps because of the negative "unwomanly" association of the style with the American [[Bloomers]] movement.<ref>{{cite book|last=Murray|first=Janet Horowitz|title=Strong-Minded Women and Other Lost Voices from 19th Century England|year=1982|publisher=Pantheon Books|location=New York|isbn=0-394-71044-4|pages=[https://archive.org/details/strongmindedwome00jane/page/68 68–70]|url=https://archive.org/details/strongmindedwome00jane/page/68}}</ref> [[Amelia Jenks Bloomer]] had encouraged the wearing of visible bloomers by feminists to assert their right to wear comfortable and practical clothing, but it was no more than a passing fashion itself among radical feminists. The movement to reform women's dress would persist and have long-term success, however; by the 1920s, [[Coco Chanel]] was successful at selling a progressive, far less restrictive silhouette that abandoned the corset and raised hemlines. The new silhouette symbolised modernism for trendy young women and became the 20th century standard. Other Paris designers continued reintroducing pants for women and the trend was gradually adopted over the next century. Fashion trends, in one sense, travelled "full circle" over the course of the Victorian era. The popular women's styles during the [[Georgian era]], and at the very beginning of Victoria's reign, emphasized a simple style influenced by flowing gowns worn by women in [[Ancient Greek clothing|Ancient Greece]] and [[Clothing in ancient Rome|Rome]]. The [[Empire waist]] silhouette was replaced by a trend towards ornate styles and an artificial silhouette, with the restrictiveness of women's clothing reaching its low point during the mid-century passion for narrow corseted waists and hoop skirts. The iconic wide-brimmed women's hats of the later Victorian era also followed the trend towards ostentatious display. Hats began the Victorian era as simple [[Bonnet (headgear)|bonnets]]. By the 1880s, milliners were tested by the competition among women to top their outfits with the most creative (and extravagant) hats, designed with expensive materials such as silk flowers and exotic plumes such as ostrich and peacock. As the Victorian era drew to a close, however, fashions were showing indications of a popular backlash against excessive styles. Model, actress and socialite [[Lillie Langtry]] took London by storm in the 1870s, attracting notice for wearing simple black dresses to social events. Combined with her natural beauty, the style appeared dramatic. Fashions followed her example (as well as Queen Victoria's wearing of mourning black later in her reign). According to [[Harold Koda]], the former Curator-in-chief of the [[Costume Institute at The Met|Metropolitan Museum of Art's Costume Institute]],<ref>{{cite web|url=http://www.metmuseum.org/about-the-museum/press-room/exhibitions/2014/death-becomes-her|title=Death Becomes Her: A Century of Mourning Attire : October 21, 2014-February 1, 2015|website=Metmuseuim.org|access-date=7 November 2021}}</ref> "The predominantly black palette of [[mourning]] dramatizes the evolution of period silhouettes and the increasing absorption of fashion ideals into this most codified of etiquettes," said Koda, "The veiled widow could elicit sympathy as well as predatory male advances. As a woman of sexual experience without marital constraints, she was often imagined as a potential threat to the social order." ====Evolution of Victorian women's fashion==== <gallery> File:Fashion plate December 1844.jpg|Ladies' December Fashions (1844). Hand-coloured steel engraving from a women's magazine. File:Thegalleryofhmscalcutta james tissot 1876.jpg|''[[The Gallery of HMS Calcutta]]'' by [[James Tissot]] (1876). [[Bustle]]s were fashionable in the 1870s and 1880s. File:Mrs lillie langtry george frederic watts 1880.jpg|''Mrs. Lillie Langtry'' by [[George Frederic Watts]] (1880). File:Five-women-on-queenslander-steps-r.jpg|Fashionable women in [[Queensland]], Australia around 1900. </gallery> {{Short description|Irish writer (born 1963)}} {{Use Irish English|date=August 2025}} {{Use dmy dates|date=August 2025}} {{Infobox writer | name = Darach Ó Scolaí | image = Darach Ó Scolaí.JPG | alt = Man holding prize-winning book | caption = Ó Scolaí in 2019 | birth_name = Darach Ó Scolaí | birth_date = {{Birth date and age|1963|df=y}} | birth_place = [[County Galway]], The Republic of Ireland | death_date = | death_place = | occupation = Writer, artist, publisher | alma_mater = [[University of Galway]] | years_active = 1998–present | genre = Novel, retelling, translation, play, screenplay, illustrated book for children and adults | other_names = | spouse = | children = 3 | awards = [[Awards and Honors received by Darach Ó Scolaí|Awards and Honors]] | signature = | website = }}[[File:Darach Ó Scolaí.JPG|thumb|Darach Ó Scolaí, holding ''Oileán an Órchiste'' (his translation of Robert Louis Stevenson's ''Treasure Island'')]] == Darach Ó Scolaí == Darach Ó Scolaí (<small>Irish:</small> [/ˈda.rax/ /oː/ /sˠkˠoː/l̪ˠəi/]; born 1963<ref>{{Cite web|url=https://portraidi.ie/en/darach-o-scolai/|title=Darach Ó Scolaí|date=20 October 2017|website=Portráidí (Portraits of Irish-Language Writers)|access-date=1 August 2025}}</ref>) is an Irish author who works in a number of genres, from novels, plays and screenplays to illustrated books for children and adults. He began his literary career in 1998 writing screenplays, stage plays, retellings and translations; he began to publish novels in 2008. Ó Scolaí is widely recognized as a leading figure in contemporary Irish literature, known as “one of the most important Irish language writers of his generation”<ref>{{Cite journal|last=Poirtéir|first=Cathal|date=2022|title=? Suil an Daill: Constant Tensions and Shifting Allegiances|url=https://booksirelandmagazine.com/suil-an-daill-constant-tensions-and-shifting-allegiances/|journal=Books Ireland}}</ref> and "one of the great Irish language novelists [duine d’úrscéalaithe móra na Gaeilge]."<ref name=":17" /> His writing has been called “the high literature of the Irish language.”<ref>Ó Coimín, Maitiú. ''Nós'' 2 February 2018). Qtd. in "Táin Bó Cuailnge." ''Leabhar Breac''. Retrieved 25 August 2025.</ref> Much of his fiction is based on a knowledge of traditional Irish tales and narrative practices as well as Irish history. He specializes in literary and [[wikipedia:Historical_fiction|historical fiction]], or as novelist Alan Titley says, Ó Scolaí’s “peak (for now), or at least his greatest imaginative interest, is the historical novel [tá an chuma air gurb é a bhuaic (go fóill), nó ar a laghad, a mhórspéis samhlaíochta, an t-úrscéal staire].”<ref name=":11">{{Cite journal|last=Titley|first=Alan|date=Fall 2020|title=An Stíl Go Deo!: Soather Dharach Uí Scolaí (The style would be forever!: Worker Darach Ó Scolaí)|url=https://www.jstor.org/stable/27046090|journal=Comhar|volume=80, No. 10|pages=27|via=JSTOR}}</ref> His retellings of old stories and tales from their original Middle and Early-Modern Irish into Modern Irish ([[wikipedia:Irish_language|Gaeilge]]) are respected for their accessibility to students and language learners as well as for their artistry. Ó Scolaí also regularly reviews books and lectures and writes on literature and culture. Beyond his writing, Ó Scolaí is a publisher and has co-produced a number of film, television shows and stage plays. == Life == Ó Scolaí was born in Dublin and raised in the Galway [[wikipedia:Gaeltacht#Galway Gaeltacht|Gaeltacht]] (Irish-speaking) regions of Cois Fharraige on the north shore of Galway Bay, in the Republic of Ireland, where he lives now with his wife and children in Lochán Beag (Indreabhán).<ref name=":7">{{Cite journal|date=30 October 2024|title=Duais don úrscéal liteartha is fearr buaite ag Darach Ó Scolaí ag Oireachtas na Samhna|url=https://tuairisc.ie/duais-don-ursceal-liteartha-is-fearr-buaite-ag-darach-o-scolai-ag-oireachtas-na-samhna/|journal=Tuairisc}}</ref><ref>{{Cite journal|last=Ní Scolaí|first=Aifric|date=2024|title=Darach Ó Scolaí|url=https://www.taiscecf.ie/ealaiontoiri?category=Scr%C3%ADbhneoir|journal=Taisce Chois Fharraige}}</ref> He graduated the [[wikipedia:University_of_Galway|University of Galway]] (then University College Galway) with a B.A. in 1983.<ref>{{Cite web|url=https://www.linkedin.com/in/darach-ó-scolaí-20026920/|title=Darach Ó Scolaí|last=Ó Scolaí|first=Darach|date=August 2025|website=LinkedIn}}</ref> === Writing and Publishing === Ó Scolaí writes in Irish ([[wikipedia:Irish_language|Gaeilge]]), his native language, and lives in an area defined for the predominant presence of Irish as the vernacular language, the language spoken at home. Irish was the language of his parents' home and is the language of children as well. He is fluent in Irish and English and conversant in French. None of his works has been translated into English. ==== Leabhar Breac ==== In 1995 Darach Ó Scolaí and his brother Caomhán Ó Scolaí — a [[wikipedia:Typography|typographer]] and designer — founded the publishing house Leabhar Breac at Indreabhán (Inverin), County Galway. Their father “Séamas Ó Scolaí was an editor at An Gúm and worked on the Irish-English dictionary team [bhí a n-athair Séamas Ó Scolaí ina eagarthóir sa Ghúm agus d’oibrigh sé ar fhoireann an fhoclóra Gaeilge-Béarla].”<ref name=":0">{{Cite web|url=https://leabharbreac.com/en/about-us/|title=About Us|date=2024|website=Leabhar Breac|access-date=1 July 2025}}</ref> Darach Ó Scolaí has been publisher and literary editor at Leabhar Breac since its founding. Named for [[wikipedia:An_Leabhar_Breac|An Leabhar Breac (The Speckled Book)]], Leabhar Breac publishing house has more than 140 books in print.<ref name=":0" /> Leabhar Breac aims to publish Irish-language books that meet “a high literary and artistic standard.”<ref name=":0" /> Besides the content, Leabhar Breac is known for the typically "superb [thar cionn]" quality of the design and production of the "physical book [leabhar fisiciúil]."<ref name=":8">{{Cite journal|last=Ní Mhuilneoir|first=Gráinne|date=30 July 2024|title=‘Bláthnaid’ – leabhar álainn i sraithín álainn faoi mhná|url=https://tuairisc.ie/blathnaid-leabhar-alainn-i-sraithin-alainn-faoi-mhna/|journal=Tuairisc}}</ref> Its books regularly win awards for literary and artistic quality. Leabhar Breac also publishes translations for children and adults from various early versions of Irish as well as from French and English (and has published translations of books for young readers from Spanish, Catalan, and Italian as well). Leabhar Breac prints its books in Ireland. === Stage and Screen === ==== Rosg ==== In 1998 along with Ciarán Ó Cofaigh,<ref name=":1">{{Cite web|url=http://www.rosg.ie/en/about/History_6/|title=About Us: History|date=July 2025|website=Rosg|access-date=1 August 2025}}</ref> Ó Scolaí co-founded the film and television production company [http://www.rosg.ie/en/ Rosg] and was co-director until 2006. Rosg produced Ó ScolaÍ’s films ''Cosa Nite'' (1999), ''An Leabhar'' (2001) and ''Na Cloigne'' (2010). He left Rosg in 2006 to devote his time to other artistic activities. ==== Ealaín ar Oileán ==== In 2004, along with Val Balance, Ó Scolaí co-founded the annual artists' symposium Ealaín ar Oileán (trans., Art on an Island). The Irish-language symposium was held annually in the Áras Éanna arts and cultural center on Inis Oírr ([[wikipedia:Inisheer|Inisheer]], the smallest of the [[wikipedia:Aran_Islands|Aran Islands]]) from 2004 to 2013. Ó Scolaí was its co-director from its founding<ref>{{Cite web|url=https://ga.wikipedia.org/wiki/Darach_Ó_Scolaí.|title=Darach Ó Scolaí|date=3 February 2024|website=Vicipéid|access-date=1 July 2025}}</ref> until 2013. Besides being its co-director, Ó Scolaí has taken part in this conference as an artist<ref>{{Cite journal|date=16 January 2005|title=Darach Ó Scolaí|url=https://web.archive.org/web/20050116163252/http://bliainiris.com/authors/darach_oscolai.html|journal=Bliainiris}}</ref> and writer<ref name=":2">{{Cite web|url=http://ealainaroilean.ie/ealainaroilean.html|title=The Conference|date=7 September 2013|website=Ealaín ar Oileán|archive-url=https://web.archive.org/web/20130907083744/http://ealainaroilean.ie/ealainaroilean.html|archive-date=7 September 2013|access-date=1 August 2025}}</ref>. ==== Salamandar ==== In 2006 Ó Scolaí founded the stage production company Salamandar and directed his own play ''An Braon Aníos''. His plays ''An tSeanbhróg'' (2009) and ''Craos'' (2008) were also produced by Salamandar.<ref name=":19">{{Cite web|url=https://leabharbreac.com/en/product-category/darach-o-scolai/|title=Darach Ó Scolaí|date=2024|website=Leabhar Breac|access-date=1 July 2025}}</ref> == Works == === Novels === * [[wikipedia:An_Cléireach|''An Cléireach'' (trans., ''The Clerk'')]], Leabhar Breac, 2007. The Oireachtas Prize for Literary Fiction, 2007; The Ó Súilleabháin Award (Book of the Year) in 2008, and "named as ‘the best novel since the turn of the Century’ by Comhar."<ref>{{Cite web|url=https://leabharbreac.com/en/shop/fiction/an-cleireach/|title=An Cléireach - Leabhar Breac - Irish language novel|website=Leabhar Breac|language=en-US|access-date=2025-10-24}}</ref> * ''Na Comharthaí'' (trans., ''The Signs''), Leabhar Breac, 2014. * ''Súil an Daill'' (trans., ''The Eye of the Blind''), Leabhar Breac, 2021. The Oireachtas Prize for Literary Fiction, 2019.<ref name=":4">{{Cite web|url=https://leabharbreac.com/en/shop/fiction/suil-an-daill/|title=Súil an Daill|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> * ''Bódléar'', Leabhar Breac, 2024. The Oireachtas Prize for Literary Fiction, 2024<ref name=":7" />; The Ó Súilleabháin Award (Book of the Year) in 2025; featured in the 2025 Listen-Up Irish Summer Challenge for students of the Irish language.<ref>{{Cite news|url=https://connachttribune.ie/novel-approach-helps-people-learn-irish-in-a-creative-way/|title=Novel approach helps people learn Irish in a creative way|last=Murphy|first=Judy|date=3 October 2025|work=Connaught Tribune|access-date=24 October 2025}}</ref> === Retellings, Translations and Editions === The retellings and translations are into modern Irish. * ''Feis Tigh Chonáin'' (trans., ''The Feast of Conán's House''), Leabhar Breac, 2000; a retelling of a 15<sup>th</sup>-century tale from the [[wikipedia:Fenian_Cycle|Fenian Cycle]].<ref>{{Cite web|url=https://leabharbreac.com/en/shop/fiction/feis-tigh-chonain/|title=Feis Tigh Chonáin|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> * ''An Ceithearnach Caolriabhach'' (trans., ''The Narrow-Striped Kern''), Leabhar Breac, 2002; a retelling from c. 1500, also illustrated by Darach Ó ScolaÍ.<ref>{{Cite web|url=https://leabharbreac.com/en/shop/fiction/an-ceithearnach-caolriabhach/|title=An Ceithearnach Caolriabhach|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> * ''Táin Bó Cuailnge'' (trans., ''The Cattle Raid of Cooley''), Leabhar Breac, 2017, both a modern edition of an 11th-century epic and an annotated edition.<ref name=":3">{{Cite web|url=https://leabharbreac.com/en/shop/darach-o-scolai/tain-bo-cuailnge-2-2/|title=Táin Bó Cuailnge|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> "''Táin Bó Cuailnge'' won the Aodán Mac Poilín Memorial Prize 2017."<ref name=":19" /> * ''Deirdre'', Leabhar Breac, 2023, a “picture book for adults” with artist Anastasia Melnykova.<ref>{{Cite web|url=https://leabharbreac.com/en/shop/darach-o-scolai/deirdre/|title=Deirdre|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> Part of the [[wikipedia:Ulster_Cycle|Ulster Cycle]], ''Deirdre'' is a retelling of the story of possibly the most widely known Irish figure from the early tales and sagas.<ref>{{Cite book|title=A Dictionary of Celtic Mythology|last=MacKillop|first=James|publisher=Oxford University Press|year=2004|isbn=9780198609674|pages=181}}</ref> * ''Bláthnaid'', Leabhar Breac, 2024, a “picture book for adults” with artist Anastasia Melnykova; “one of the great stories of the [[wikipedia:Ulster_Cycle|Ulster Cycle]].”<ref name=":4" /> * ''Sadhbh,'' Leabhar Breac, 2025, a picture book for adult readers, illustrated by Alé Mercado; a retelling of the medieval tale ''Ceasacht Inghine Ghuile (''trans., ''The Complaint of Guile's Daughter'').<ref name=":5">{{Cite web|url=https://leabharbreac.com/en/tales-of-wonder/|title=Tales of Wonder|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> * ''Eoghan Béal'', Leabhar Breac, 2025, a picture book for adult readers illustrated by Alé Mercado<ref name=":5" />; a retelling of the medieval tale ''[https://ga.wikipedia.org/wiki/Caithr%C3%A9im_Cellaig Cathréim Ceallaigh]'' from ''The Yellow Book of Leacan.''<ref name=":5" /> === For Young Readers === Ó Scolaí has written illustrated books for young readers (8–10 years old) in two series, the Fionn Series and the Scéalta Staire series, and translated a large number of classics and popular books for children of all ages. The number of these written and translated works suggests a commitment to children and their literacy in Irish. The Fionn Series “is a retelling ... of the great legends of the Fianna for the young Irish readers of today.”<ref name=":6">{{Cite web|url=https://leabharbreac.com/en/shop/oige-en/8-9/doiteoir-na-samhna/|title=Dóiteoir na Samhna|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> [[wikipedia:The_Boyhood_Deeds_of_Fionn|Macgnímartha Finn (The Boyhood Deeds of Fionn)]] is a medieval story in the [[wikipedia:Fenian_Cycle|Fenian Cycle]]. * ''An Bradán Feasa'' (trans., ''The Salmon of Knowledge''), Leabhar Breac, 2010, “shortlisted for the Réics Carlo award 2010.”<ref name=":9">{{Cite web|url=https://leabharbreac.com/en/shop/oige-en/8-9/an-bradan-feasa/|title=An Bradán Feasa|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> * ''Dóiteoir na Samhna'' (trans., ''The Halloween Burner''), 2010.<ref name=":6" /> * ''Bodach an Chóta Lachna'' (trans., ''The Churl in the Dun Coat''), 2011.<ref>{{Cite web|url=https://leabharbreac.com/en/shop/oige-en/7-8/bodach-an-chota-lachna/|title=Bodach an Chóta Lachna|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> The Scéalta Staire (Historical Stories) series<ref name=":9" /> * ''Mánas Ó Dónaill'', 2000. * ''Seán Ó Néill'', Leabhar Breac, 2000. * ''Gráinne Mhaol Ní Mháille'', Leabhar Breac, 2003. * ''Tadhg Dall Ó hUiginn'', Leabhar Breac, 2003. ==== Translations ==== * Robert Louis Stevenson, ''Oileán an Órchiste'' (trans. of ''Treasure Island''), Leabhar Breac, 2014.<ref>{{Cite journal|date=2025-06-19|title=Oireachtas na Gaeilge|url=https://en.wikipedia.org/w/index.php?title=Oireachtas_na_Gaeilge&oldid=1296394643|journal=Wikipedia|language=en}}</ref> * Robert Louis Stevenson, ''An Fuadach'' (trans. of ''Kidnapped''), Leabhar Breac, 2016. * Clement Clarke Moore, ''Cuairt San Nioclás'' (trans. of ''A Visit from St. Nicholas'', or "'Twas the Night Before Christmas"), Leabhar Breac, 2022. '''''The Corto Maltese Graphic Novels''''' Written in Italian by Hugo Pratt and translated by Ó Scolaí, both adults and teenagers read this series of Italian adventure graphic novels.<ref>{{Cite journal|date=2025-07-01|title=Corto Maltese|url=https://en.wikipedia.org/w/index.php?title=Corto_Maltese&oldid=1298285365|journal=Wikipedia|language=en}}</ref> Ó Scolaí's '''translation of ''Corto Maltese''''' was listed in 2017 among "The 30 Irish books that Irish people love."<ref>{{Cite journal|last=Ó Murchú|first=Eoin P.|date=09/06/2017|title=Na 30 leabhar Gaeilge is fearr leis na Gaeil [The 30 Irish books that Irish people love]|url=https://nos.ie/cultur/leabhair/an-30-leabhar-gaeilge-is-fearr-leis-na-gaeil/|journal=Nós}}</ref> * Hugo Pratt, ''Corto: Port na Farraige Goirt'', Leabhar Breac, 2013. * Hugo Pratt, ''Corto: The Golden House in Samarkand'', 2014. * Hugo Pratt, ''Corto: Na Liopard-Fhir ó Rufiji'' (trans. of ''Corto: The Leopard Men of Rufiji''), Leabhar Breac, 2014. * Hugo Pratt, ''Corto: In Ainm Dé Uilthrócairigh'' (trans. of ''Corto: In the Name of God All-Merciful''), Leabhar Breac, 2014. * Hugo Pratt, ''Corto: Tóraíocht Eile'' (trans. of ''Corto: Another Quest''), Leabhar Breac, 2014. * Hugo Pratt, ''Corto: Sa tSibéir'' (trans. of ''Corto: In Siberia''), Leabhar Breac, 2016. '''''Other Translations for Children''''' Ó Scolaí has translated into Irish six books from the ''Le Pavillon Noir'' (trans., ''Jolly Roger'') series by Alain Surget; four books from the ''Catalan First Steps'' series by Enric Lluch Girbés and the ''Caitlín & Cormac'' series by Joan Carles; three books from the ''Louisette le Taupe'' series by Bruno Heitz, and three books from the ''Loup'' series by Orianne Lallemand. === Plays and Screenplays === ==== Stage Plays ==== Ó Scolaí was writer and director of the original productions of two plays in the ''Trí Bhraon'' (trans., ''Three Drops'') trilogy; ''Coinneáil Orainn'' was directed by Darach Mac Con Iomaire and staged by An Taibhdhearc. All three plays have been published in book form by Leabhar Breac. * ''Coinneáil Orainn'' (trans., ''We'll Keep Going''), 2005.<ref>{{Cite web|url=https://irishplayography.com/play?playid=32553|title=Coinneáil Orainn|date=2025|website=PlayographyIreland: A Comprehensive Database of New Irish Plays Produced Professionally Since 1904.|access-date=25 August 2025}}</ref> The first play in the ''Trí Bhraon'' (''Three Drops'') trilogy. [[wikipedia:Taibhdhearc_na_Gaillimhe|An Taibhdhearc]], the national Irish-language theatre of Ireland, toured the country in 2005 with ''Coinneáil Orainn''.<ref>{{Cite web|url=https://leabharbreac.com/en/shop/darach-o-scolai/coinneail-orainn/|title=Coinneáil Orainn|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> Walter Macken Prize, 2005; BBC Stewart Parker Award, 2006.<ref>{{Cite web|url=https://irishplayography.com/person/darach-scola|title=Darach Ó Scolaí|date=2025|website=PlayographyIreland: A Comprehensive Database of New Irish Plays Produced Professionally Since 1904.|access-date=25 August 2025}}</ref> * ''Branwen'', 2006, by Darach Ó Scolaí and Ifor ap Glyn, in Irish, Welsh and English, co-produced by Project Arts Centre and Llwyfan Gogledd Cymru, toured the Republic of Ireland and Wales.<ref>{{Cite web|url=https://irishplayography.com/play?playid=32418|title=Branwen|date=2025|website=PlayographyIreland: A Comprehensive Database of New Irish Plays Produced Professionally Since 1904|access-date=25 August 2025}}</ref> * ''An Braon'' Aníos (trans., ''Rising Damp''), 2006, directed by Ó Scolaí.<ref>{{Cite web|url=https://irishplayography.com/play?playid=32461|title=An Braon Aníos|date=2025|website=PlayographyIreland: A Comprehensive Database of New Irish Plays Produced Professionally Since 1904|access-date=25 August 2025}}</ref> The second play in the ''Trí Bhraon'' (''Three Drops'') trilogy. “The Salamandar company toured the country in 2006-07 with this play, and Salamandar also produced a radio version of the play for RTÉ Raidió na Gaeltachta in 2009.”<ref>{{Cite web|url=https://leabharbreac.com/en/shop/darach-o-scolai/an-braon-anios/|title=An Braon Aníos|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> * ''Craos'' (trans., ''Gluttony''), 2008, directed by Ó Scolaí.<ref name=":13">{{Cite web|url=https://irishplayography.com/play?playid=32867|title=Craos|date=2025|website=PlayographyIreland: A Comprehensive Database of New Irish Plays Produced Professionally Since 1904|access-date=25 August 2025}}</ref> The third play in the ''Trí Bhraon'' (''Three Drops'') trilogy, it toured to Cork and Belfast.<ref name=":13" /> A review of the 2008 Salamander performance in the ''Irish Times'' says, “a humorous play which offers plenty to think about, fine acting, and sparklingly witty dialogue.”<ref>{{Cite web|url=https://leabharbreac.com/en/shop/darach-o-scolai/craos-2/|title=Craos|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> * ''A+E'', 2008, by Ríonach Ní Néill and Darach Ó Scolaí, "dance and music drama," co-produced by Ciotóg and Salamandar.<ref>{{Cite web|url=https://irishplayography.com/play?playid=32962|title=A+E|date=2025|website=PlayographyIreland: A Comprehensive Database of New Irish Plays Produced Professionally Since 1904|access-date=25 August 2025}}</ref> * ''An tSeanbhróg'' (trans., ''The Old Shoe''), 2009, produced by Salamander<ref>{{Cite web|url=https://irishplayography.com/play?playid=33042|title=An tSeanbhróg|date=2025|website=PlayographyIreland: A Comprehensive Database of New Irish Plays Produced Professionally Since 1904|access-date=25 August 2025}}</ref> and staged in the Axis Arts Centre, Dublin, and the Letterkenny Arts Centre. * '''In ''Mhuir Fhíondorcha/The Wine-Dark Sea: The Homer Project'', Ó Scolaí's translation of Homer's Cyclops story, performed at the 2019 IMRAM festival'''.<ref>{{Cite news|url=https://www.irishtimes.com/culture/books/imram-a-festival-celebrating-the-irish-language-1.4047610|title=Imram: a festival celebrating the Irish language. Liam Carson reveals the myths and legends appearing in this year’s programme|last=Carson|first=Liam|date=11 October 2019|work=The Irish Times|access-date=15 October 2025}}</ref> ==== Screenplays ==== * ''Cosa Nite'' (trans., ''Washed Feet''), short film, 1998 (dir. Dearbhla Walsh, prod. Ciarán Ó Cofaigh, Rosg); "a prose version of ''Cosa Nite'' was published (Rosg 2000)."<ref name=":9" /> Nominated for an Irish Film and Television Award.<ref>{{Citation|title=Cosa Nite (Short 1998) - Awards - IMDb|url=https://www.imdb.com/title/tt0191917/awards/|accessdate=2025-08-25|language=en-US}}</ref> * ''Na Glúnta'' (trans., ''The Generations''), 2001<ref>{{Cite web|url=https://www.iftn.ie/production/production_companies/production_sub/feature/?act1=record&aid=70&rid=3917&tpl=filmography_dets&only=1&force=1|title=Na Glúnta {{!}} The Irish Film & Television Network|website=www.iftn.ie|access-date=2025-08-25}}</ref>, co-directors Ciarán Ó Cofaigh & Darach Ó Scolaí, prod. Ciarán Ó Cofaigh, Rosg. * ''An Leabhar'' (trans., ''The Book''), short film, 2000, (dir. Robert Quinn, prod. Ciarán Ó Cofaigh, Rosg) Rosg, 2000.<ref>{{Citation|title=An Leabhar|url=https://www.imdb.com/title/tt0963767/|publisher=Bord Scannán na hÉireann / The Irish Film Board, ROSG|accessdate=2025-08-25|first=Robert|last=Quinn|others=Colm O&apos;Maonlai, Peadar O&apos;Treasaigh, Diarmuid Mac an Adhastair}}</ref> * ''Na Cloigne'' [trans., The Heads], 3-episide series, 2010 (dir. Robert Quinn, prod. Ciarán Ó Cofaigh, Rosg), TG4.<ref>{{Cite web|url=https://www.imdb.com/title/tt1607924/|title=Na cloigne|date=2010|website=IMDb|access-date=25 August 2025}}</ref> === Nonfiction === Ó Scolaí's essays and lectures are published and his interviews are broadcast regularly, making for a large body of nonfiction critical and analytical work. Here are a few, almost all published in [https://comhar.ie/iris/scribhneoiri/darach-o-scolai/ Comhar]: * “Ceol Ciúin na nÉagmaise” (trans., “The Silent Music of Absence ['''the Fall?''']”), an essay on the 2014 Nobel Prize winner for literature, [[wikipedia:Patrick_Modiano|Patrick Modiano]], ''Comhar'', December 2014. * The Ó Cadhain Lecture: [https://leachtaiuichadhain.clo.ie/leachtai/2014 “Cuimhne agus Díchuimhne (trans., “Memory & Forgetfulness"]), 2014. * “Rithim agus Réim” ("Rhythm and Register"), a public lecture in the University College Dublin lecture series “Ó Thrácht go Twitter” (trans., "From Talk to Twitter"), 2014. * Review of Pádraig Ó Cíobháin’s ''Dréachta Chrích Fodla'', '''Comhar?, ??'''. * “Na Geilt i mBun an Tí” (trans., "The Madmen in Charge"), a talk at the Merriman Winter School, Comhar April 2012.<ref name=":18">{{Cite web|url=http://darachoscolai.ie/beathaisneis.html|title=Darach Ó Scolaí: Beathaisnéis|website=darachoscolai.ie|access-date=2025-09-26}}</ref> * The EFACIS podcast: Síle Ní Choincheannain talks to Darach Ó Scolaí about the historical novel. == Critical Reception == Ó Scolaí’s style has been called “crisp and elegant, and rich in language while being highly readable,”<ref>{{Cite journal|last=Heussaf|first=Anna|date=Summer 2025|title=Bláthnaid—A tale of love, violence and sorcery retold for readers today|url=https://booksirelandmagazine.com/blathnaid-a-tale-of-love-violence-and-sorcery/|journal=Books Ireland}}</ref> with “an unsurpassed richness and precision of language.”<ref name=":12">{{Cite journal|last=Ó Cróinín|first=Breandán|date=Summer 2025|title=unknown|journal=The Limerick Leader}}</ref> “Whimsical, hilarious, and subtly learned” is how Éilis Ní Dhuibhne described his writing.<ref name=":20" /> === Original Works === Ó Scolaí’s first novel, the 2007 ''An Cléireach'' (''The Clerk'') won two prizes and was described as “one of the great historical novels in the Irish language and among the best books written in the language since the beginning of this century.”<ref name=":12" /> Novelist Alan Titley says, “In ''An Cléireach'' Ó Scolaí creates the Ireland of war in the 17th century more fully than any other Irish writer on the subject of war since ''L’Attaque'' Eoghain Ó Thuairisc around 1798 [In ''An Cléireach'' cruthaíonn Ó Scolaí Éire an chogaidh san 17ú haois níos iomláine ná mar a dhein aon scríbhneoir Gaeilge eile ar ábhar cogaidh ó ''L’Attaque'' Eoghain Uí Thuairisc timpeall ar 1798].”<ref name=":11" />{{rp|25, Col. 1a}} Not all the reviews of this first novel were so positive, however; Proinsias O' Drisceoil says for the Irish Times says,<blockquote>This then is a novel in search of a plot, a story that attempts to attain a significance that eludes it.<ref>{{Cite news|url=https://www.irishtimes.com/news/a-disaffected-clerk-in-the-confederates-1.943070|title=A disaffected clerk in the confederates|last=O' Drisceoil|first=Proinsias|date=5 July 2008|work=The Irish Times|access-date=16 October 2025}}</ref></blockquote> In the ''Oxford Handbook of Modern Irish Fiction'' Pádraig Ó Siadhail analyzes rather than reviews ''An Cléireach'': <blockquote>In ''An Cléireach'', Ó Scolaí revisits the trauma of Cromwellian Ireland. The primary narrative device is once again the first-hand account, in this case by Tadhg Ó Dúbháin, a clerk and quartermaster in the Confederate Army in 1650. We sample the hardships, the friendships, the tensions, the rivalries, and the petty jealousies amongst comrades in arms, including remnants of the Gaelic literary class, as the Confederate soldiers, increasingly a rabble more than a cohesive unit, retreat in advance of Cromwell’s forces. ''An Cléireach'' concludes with the narrator and his family in exile in continental Europe. But along the retreat route, and central to the novel, members of the Confederate army camp, rest up, and tell versions of a story about the keeper of the treasured manuscript "Saltair an Easpaig" (The Bishop’s Psalter). Their versions raise issues about memory construction, the limitations of individual perspectives, personal agendas, and how minor changes in the telling of a story can alter our understanding of history, Thus, ''An Cléireach'' complements ''Fontenoy'' in moving beyond more realistic recreation of a historical event or period to interrogate the notion of history as construct.<ref>{{Cite book|title=The Oxford Handbook of Modern Irish Fiction|last=Ó Siadhail|first=Pádraig|publisher=Oxford University Press|year=2020|isbn=9780198754893|editor-last=Harte|editor-first=Liam|pages=598–99|chapter=Contemporary Irish Fiction}}</ref> </blockquote> Of ''Súil an Daill,'' in ''Nós'', Cathal Seoighe says, "The book deserves a significant place among the collection of high-quality books published in recent years that would make you feel sorry for someone who does not speak Irish [Tá áit shuntasach ag dul don leabhar i measc an chnuasaigh leabhair ar ardchaighdeán a foilsíodh le roinnt blianta anuas a d’fhágfadh trua agat don té atá gan Ghaeilge]."<ref>{{Cite journal|last=Seoighe|first=Cathal|date=09/26/2022|title=‘Dar leathmhagairle an diabhail, is leabhar den scoth é seo!’ ['According to the devil’s half-wit, this is a great book!’]|url=https://nos.ie/cultur/leabhair/dar-leathmhagairle-an-diabhail-is-leabhar-den-scoth-e-seo/|journal=Nós}}</ref> ''Bódléar'', Ó Scolaí's most recent book, is a “beautiful novel. There is magic and craftsmanship in it. A small miracle of a book and it is highly recommended.”<ref>{{Cite web|url=https://leabharbreac.com/bodlear-mioruilt-bheag-de-leabhar/|title=Bódléar: Míorúilt bheag de leabhar (Bódléar: A Small Miracle of a Book)|last=Ní Ghairbhí|first=Róisín|date=2024|website=Leabhar Breac|access-date=1 August 2025}}</ref> Éilis Ní Dhuibhne in the ''Irish Times'' says,<blockquote>what a gem! An affectionately gentle satire of the Irish poetic scene during one creatively fluid 19th-century year, the story focuses on a Maigue poet and schoolteacher who goes on a trip to France and returns with camembert, a cafetiere, ‘Fleurs du Mal’, and a mission to convert the local traditionalists to la modernité. Whimsical, hilarious, and subtly learned, it’s absolutely delightful!<ref name=":20">{{Cite journal|last=Ní Dhuibhne|first=Éilis|date=30 June 2025|title=Éilís Ní Dhuibhne on the best Irish language books of 2025 so far: Including a history of the Gaeltacht Civil Rights Movements, a gem of a novel by Darach Ó Scolaí and Joe McHugh’s entertaining account of learning Irish|url=https://www.irishtimes.com/culture/books/review/2025/06/30/eilis-ni-dhuibhne-on-the-best-irish-language-books-of-2025-so-far/|journal=The Irish Times|pages=22}}</ref></blockquote> === Retellings and Translations === ==== ''Táin Bó Cuailnge'' ==== ''Táin Bó Cuailnge'' [''The Cattle Raid of Cooley''] is a modern edition of an 11th-century epic into modern Irish.<ref name=":3" /> Gearóid Denvir reviewed ''Táin Bó Cuailnge'' for ''Comhar'':<blockquote>Darach Ó Scolaí has ​​achieved a feat in this challenging reworking. He has found a high level of the Irish language to tell his story – as he has done before in his groundbreaking novel An Cléireach (2007, Leabhar Breac) and in his other prose works. This book is a decoration of the language, literature and culture of the Irish language, following the path of the old storytellers and writers and presenting material from the tradition to his own generation according to the understandings of his own time. The book will be a classic that will be of great interest to all readers of the Irish language, both ordinary readers, students, scholars and writers, and there should be a copy in every home in the country. [Tá éacht déanta ag Darach Ó Scolaí san athleagan dúshlánach seo. Tá réim ard den teanga Ghaeilge aimsithe aige lena scéal a inseacht – mar a rinne sé cheana ina úrscéal ceannródaíoch An Cléireach (2007, Leabhar Breac) agus i saothair eile phróis dá chuid. Is maisiú ar an teanga agus ar litríocht agus cultúr na Gaeilge an leabhar seo a leanas conair na seanscéalaithe agus na seanscríobhaithe agus ábhar de chuid an traidisiúin á chur i láthair a ghlúine féin aige de réir thuiscintí a linne féin. Clasaic a bheas sa leabhar a gcuirfidh léitheoirí uilig na Gaeilge, idir ghnáthléitheoirí, mhic léinn, scoláirí agus scríbhneoirí spéis thar na bearta ann, agus ba cheart cóip a bheith i chuile theach sa tír.]<ref name=":15">{{Cite journal|last=Denvir|first=Gearóid|date=April 2018|title=Táin Bó Cuailgne|url=https://comhar.ie/iris/78/4/leirmheas/|journal=Comhar|via=JSTOR}}</ref> </blockquote>Cathal Poirtéir says, "The freshness and richness of Ó Scolaí’s version are a joy …. The author delights us with the linguistic and stylistic richness of the ancient epic in a modern-Irish version that reflects the original’s spirit and language."<ref>{{Cite journal|last=Poirtéir|first=Cathal|date=May/June 2018|title=Leabhair Idir Lámha|url=https://www.jstor.org/stable/26564180|journal=Books Ireland|pages=46–47|via=JSTOR}}</ref>{{rp|47}} Novelist and academic Alan Titley calls Ó Scolaí's "a wonderful gutsy telling" of ''Táin Bó Cuailnge''.<ref>{{Cite news|url=https://www.irishtimes.com/culture/2023/03/11/the-tain-retold-maeve-and-ailills-spat-could-be-out-of-a-soap-opera/|title=The Táin retold: ‘Maeve and Ailill’s spat could be out of a soap opera’|last=Titley|first=Alan|date=11 March 2023|work=The Irish Times|access-date=16 October 2025}}</ref> ==== ''Deirdre'' ==== Marie Whelton, in "Léann Teanga" ("Language Studies"), in the 2024 ''An Reiviú'' says,<blockquote>this version [of ''Deirdre''] by Darach Ó Scolaí succeeds in skillfully capturing and portraying the complexity of gender and power issues in the ‘Deirdre’ tradition [éiríonn leis an leagan seo le Darach Ó Scolaí castacht cheisteanna na hinscne agus na cumhachta i dtraidisiún scéal Dheirdre a ghabháil agus a léiriú go sciliúil]. … There is no doubt that this new version greatly contributes to the legacy of the story and that it revives that legacy thoughtfully and artistically [Níl amhras faoi ach go gcuireann an leagan úr seo go mór le hoidhreacht an scéil agus go ndéanann sé an oidhreacht sin a athbheochan go tuisceanach agus go healaíonta.].<ref name=":16">{{Cite web|url=https://www.tara.tcd.ie/tara8/server/api/core/bitstreams/3c20175a-7631-44b2-8b0f-f454edd712b4/content|title=An Artistic Retelling of Deirdre's Tale and the Defeat of Conor Review of Deirdre or the Ship of Mac Uisnigh by Darach Ó Scolaí [Athinsint Ealaíonta ar Oidhe Dheirdre agus ar Ansmacht Chonchúir Léirmheas ar Deirdre nó Loingeas Mhac Uisnigh le Darach Ó Scolaí]|last=Whelton|first=Marie|date=2024|website=The Review [An Reiviú], Language Studies [Léann Teanga]|access-date=25 September 2025}}</ref></blockquote> === Works for Young Readers === Meadhbh Ní Eadhra said of ''Bodach an Chóta Lachna'' that it was "Beautiful Irish, but easy to understand for young readers."<ref>Ní Eadhra, Meadhbh. In ''Gaelscéal'', qtd. in "Bodach an Chóta Lachna" https://leabharbreac.com/en/shop/oige-en/7-8/bodach-an-chota-lachna/.</ref> == Awards and Honors == Ó Scolaí's works are regularly nominated and make the short list for prizes, an honor in itself, but they are generally not listed here unless they are named as the first-place winner in their category. === Oireachtas Prize === The Oireachtas Prize is the literary prize awarded by [[wikipedia:Oireachtas_na_Gaeilge|Oireachtas na Gaeilge]], the annual arts festival dedicated to Irish language, arts and culture. Darach Ó Scolaí has won the Oireachtas Prize for Literary Fiction three times, once for ''An Cléireach'' (''The Clerk'') in 2007, for ''Súil an Daill'' (''The Eye of the Blind'') in 2021 and for ''Bódléar'' in 2024. * 2007, for ''An Cléireach'' (trans., ''The Clerk'') — “(a special prize commemorating the 400th anniversary of the foundation of Coláiste na nGael in Louvain, awarded under the auspices of the Franciscan Province of Ireland). The prize of €10,000 was the largest prize ever awarded to an Irish language novel [(duais speisialta chomórtha 400 bliain bhunú Choláiste na nGael i Lobháin a bronnadh faoi urraíocht Phroibhinse Phroinsiasach na hÉireann). Ba é an duais €10,000 sin an duais ba mhó a bronnadh riamh ar úrscéal Gaeilge].”<ref name=":18" /> * 2021, for ''Súil an Daill'' (''The Eye of the Blind'') * 2024, for ''Bódléar'' === Ó Shúilleabháin Award, Irish language “Book of the Year” === The first prize of this award includes €5,000 to the publisher and €2,500 to the author of the winning work.<ref name=":10">{{Cite journal|date=15 August 2023|title=20 saothar san iomaíocht do ‘Leabhair Ghaeilge na Bliana 2023’|url=https://tuairisc.ie/20-saothar-san-iomaiocht-do-leabhair-ghaeilge-na-bliana-2023/|journal=Tuairisc}}</ref> * ''An Cléireach'' (''The Clerk'').<ref>{{Cite web|url=http:/www.gaelport.com/uploads/documents/edition19.html|title=Eagrán / Edition 19 - 04 11 2008|date=4/11/2008|website=Internet Archive|archive-url=https://web.archive.org/web/20130525011340/http:/www.gaelport.com/uploads/documents/edition19.html|archive-date=25 May 2013|access-date=25 August 2025}}</ref> * ''Táin Bó Cuailnge'', 2018. * ''Bódléar'', 2025. ==== De Bhaldraithe Award ==== The Gradam de Bhaldraithe is awarded to the best work in translation.<ref name=":10" /> * ''Cuairt San Nioclás,'' a translation of Clement Clarke Moore's ''A Visit from St. Nicholas'', or "'Twas the Night Before Christmas."<ref name=":10" /> ==== Other ==== * Walter Macken Prize, for ''Coinneáil Orainn'' (trans., ''We'll Keep Going''), 2005 * Bháiteir Uí Mhaicín Memorial Award, for ''Coinneáil Orainn'' (trans., ''We'll Keep Going''), 2005<ref>{{Cite news|url=https://www.irishtimes.com/gaeilge/tuarascail/duais-oireachtais-1.501571|title=Oireachtas Prize: Over €50,000 was awarded to writers in the Oireachtas Literary Competitions at an event in Dublin last night. Winners… [Duais Oireachtais: Bronnadh breis agus €50,000 ar scríbhneoirí i gComórtais Liteartha an Oireachtais ar ócáid i mBaile Átha Cliath aréir. Bhuaigh…]|work=5 October 2005|access-date=15 October 2025}}</ref> * BBC Stewart Parker Award, for ''Coinneáil Orainn'' (trans., ''We'll Keep Going''), 2006 * The Aodán Mac Póilín Commemorative Prize, for ''Táin Bó Cuailnge'' (trans., ''The Cattle Raid of Cooley''), 2017 == External Links == * Leabhar Breac website: https://leabharbreac.com/en/ * Leabhar Breac Facebook pages: * Rosg website: [http://www.rosg.ie/en/ <nowiki>http://ww</nowiki>w.rosg.ie/en/] * Art on the Island (Ealaín ar Oileán) website, archived at the Wayback Machine: https://web.archive.org/web/20130601000520/http://ealainaroilean.ie/ 31 March 2012, 1 June 2013 and 8 January 2014 * Darach Ó Scolaí's website Archived 25 September 2015 at the Wayback Machine: https://web.archive.org/web/20150925103456/http://darachoscolai.ie/ * Youtube video of [https://www.youtube.com/watch?v=OlP2AmSBzXc Breandán Ó Cróinin introducing Deirdre at the book launch] in the pub Tigh Mholly (Molly’s House). == Primordial Ooze == * Known for his sensitivity to language and voices. * Finish scanning through JSTOR * Scan through Irish Times, 56 hits * Check Goodreads * Check YouTube (In the spring of 2013, the arts programme Imeall interviewed the author on TG4.) * Check both Wikipedias for pages on the origins of the retold tales (like Deirdre) and link to this article * Propose link from University of Galway page once Darach’s is up * Write Irish National Biography (<nowiki>https://www.dib.ie</nowiki>) to propose an article about Darach once the Wikip article is done? See what they say. * Link to Ó Scolaí from the Wikipedia * Make sure links '''to''' Wikipedia in the actual encyclopedia work right === Not Placed Yet === * "So here are the books that Irish people love the most! [Mar sin seo iad na leabhair is gile leis na Gaeil!]" — "32. An Cléireach – Darach Ó Scolaí (2)" [18 books got 2 votes, and then they're alphabetized by author's last name, so the 32 of 34 doesn't signify the specificity it seems to]<ref name=":14">{{Cite journal|last=Ó Murchú|first=Eoin P.|date=9 June 2017|title=Na 30 leabhar Gaeilge is fearr leis na Gaeil. [The 30 best Irish books for Irish people]|url=https://nos.ie/cultur/leabhair/an-30-leabhar-gaeilge-is-fearr-leis-na-gaeil/|journal=Nós}}</ref> * "Below is a list of those 111 works – a list that shows a great deal of diversity in the reading habits of Irish speakers.Here is a list of those 111 works – a list that shows a great deal of diversity in the reading habits of Irish speakers [Anseo thíos tá liosta den 111 saothar sin – liosta a léiríonn éagsúlacht an-mhór i nósanna léitheoireachta Gaeilgeoirí.Anseo thíos tá liosta den 111 saothar sin – liosta a léiríonn éagsúlacht an-mhór i nósanna léitheoireachta Gaeilgeoirí]." "Corto Maltese – Hugo Pratt (aistrithe ag Darach Ó Scolaí)"<ref name=":14" /> * "Ceann eile de bhuaicphointí na hÉigse a bheidh sa seisiún le Darach Ó Scolaí, duine d’úrscéalaithe móra na Gaeilge, agus duine de chomhbhunaitheoirí teach foilsitheoireachta Leabhar Breac. [Another highlight of the Éigse will be the session with Darach Ó Scolaí, one of the great Irish language novelists, and one of the co-founders of the publishing house Leabhar Breac.]"<ref name=":17">{{Cite journal|last=Nós|date=4 May 2023|title=Éigse na Bruiséile le filleadh i mí na Bealtaine. [Éigse na Bruséile to return in May]|url=https://nos.ie/cultur/eigse-na-bruiseile-le-filleadh-i-mi-na-bealtaine/|journal=Nós}}</ref> === Things Taken Out for Now === “’The play is a comedy about language, lies, bureaucracy and Gaeltacht grants, in the tradition of Myles na Gcopaleen,’ according to Norma-Jean Kenny in the ''Galway Advertizer'', ‘in which the author comments and criticizes the institutions of the Irish language in Ireland without ceasing.’" Supposedly a quotation by Gearóid Denvir reviewing ''Táin Bó Cuailnge'' for ''Comhar'' (but I don't find it in the article): This book has long been needed by Irish language readers and there is no doubt that it will become a classic in time and surpass Thomas Kinsella’s English version. This version remains faithful to the language of the original while at the same time finding an appropriate language in today’s Irish. Ó Scolaí masterfully overcomes the difficulties of the original’s rhetorical difficulties and the versions of the original poetic texts are extremely effective.[supposedly <ref name=":15" />] “The biggest prize ever awarded for a novel in Irish was presented at a special ceremony in the National Concert Hall in Dublin, today (Thursday, 4 October 2007). Darach Ó Scolaí, writer, artist & playwright from Casla, Co. Galway, was awarded €10,000 for his literary novel, ‘An Ardscoil’. This work, under the new title ‘An Cléireach’, will be launched at Oireachtas na Samhna in Westport in November. This is the first novel from his pen, a story set in the late seventeenth century. This competition was sponsored by the Franciscan Province of Ireland.” (archive, Oireachtas na Gaeilge site, 04 October, 2007) ''Súil an Daill'' (trans., ''The Eye of the Blind''), Leabhar Breac, 2021. number 2 in ''Comhar'' literary magazine’s list of best books of 2021. '''{6}.''' *William Shakespeare, ''Romeo agus Juliet'' (trans. of ''Romeo and Juliet''), Leabhar Breac, 2016. *Jonathan Swift, ''Camchuairt Ghuilivéir'' (trans. of ''Gulliver's Travels''), Leabhar Breac, 2016. *Hugo Pratt, ''Corto Maltese'' '''''Flag of Bones (Bratach na gCnámh) Series''''' Leabhar Breac published the Bratach na gCnámh series of books for young readers. Written in French by Alain Surget, illustrated by Annette Marnat and translated by Darach Ó Scolaí, this series uses the history of Caribbean Sea pirates<ref>{{Cite web|url=https://leabharbreac.com/en/product-category/alain-surget/|title=Alain Surget Archives|website=Leabhar Breac|language=en-US|access-date=2025-09-30}}</ref>: *Alain Surget, ''Éalú as Páras'' (''Escape from Paris''), Annette Marnat (Illustr.), Leabhar Breac, 2011. * Alain Surget, ''Oilean na Siorcanna'' (''Shark Island''), Annette Marnat (Illustr.), Leabhar Breac, 2011. * Alain Surget, ''Long na dTaibhsi'' (''Ship of the Ghosts''), Annette Marnat (Illustr.), Leabhar Breac, 2011. * Alain Surget, ''San Ochtapas Dubh'' (''In the Black Octopus''), Annette Marnat (Illustr.), Leabhar Breac, 2013. * Alain Surget, ''San Ionsai ar Veracruz'' (''The Attack on Veracruz''), Annette Marnat (Illustr.), Leabhar Breac, 2013. '''''For "First Readers" (children to 6 years old or so)''''' These books were written originally in Catalan by Spanish author Enric Lluch Girbés and translated into Irish by Ó ScolaÍ: *Enric Lluch, ''Ag Péinteáil an Tí'' (''Painting the House''), Anna Clariana (Illustr.), Leabhar Breac, 2017. *Enric Lluch, ''An Colúr Bacach'' (''The Lazy Dove''), Anna Clariana (Illustr.), Leabhar Breac, 2017. *Enric Lluch, ''An Phluais'' (''The Cave''), Anna Clariana (Illustr.), Leabhar Breac, 2017. *Enric Lluch, ''Madra Dhaideo'' (''Grandpa's Dog''), Anna Clariana (Illustr.), Leabhar Breac, 2017. *Enric Lluch, ''Fiacail Mháire'' (''Mary's Tooth''), Anna Clariana (Illustr.), Leabhar Breac, 2017. '''''Bruno Heitz''''' Leabhar Breac published a series of 3 Heitz books for small children. Published originally in French, this series of three comic books is about a blind mole named Cáitín Chaoch in Irish (and ''Louisette la taupe'' in French).<ref>{{Cite web|url=https://leabharbreac.com/en/product-category/bruno-heitz-en/|title=Bruno Heitz Archives|website=Leabhar Breac|language=en-US|access-date=2025-10-02}}</ref> Ó Scolaí translated these: *Bruno Heitz (author and illustr.), ''Práinneach'' (''Urgent''), Leabhar Breac, 2020 *Bruno Heitz (author and illustr.), ''Preab san Aer'' (''Bounce in the Air''), Leabhar Breac, 2020. '''''Books for Toddlers''''' Leabhar Breac has published 14 books written by French author Orianne Lallemand's and illustrated by Eleonore Thuillier, about Lallemmand's popular character Loup, Wolf. These are translated by Ó Scolaí: *Orianne Lallemand, ''An Mac Tire a Raibh Faitios an Domhain Air'' (trans. of ''The Son Who Saw the World in His Eyes''), Eleonore Thuillier  Illustr.), Leabhar Breac, 2018. *Orianne Lallemand, ''Macan agus an Goban'' (trans. of ''Macan and the Goblin''), Eleonore Thuillier (Illustr.), Leabhar Breac, 2018. * Orianne Lallemand, ''A Mac Tíre a Chuaigh go Tóin na Farraige'' (trans. of ''The Wolf Who Went to the Bottom of the Sea''), Éléanore Thuillier  (Illustr.), Leabhar Breac, 2019. '''''Board Books (for babies)''''' J. C. (Joan Carles) Girbés Aparisi is a Catalan author and editor. These books were written in Catalan and translated by Ó Scolai. *J. C. Girbés, ''An Phicnic'' (''The Picnic''), Silvia Ortega (Illustr.), Leabhar Breac, 2013. * J. C. Girbés, ''An Chóisir'' (''The Party''), Silvia Ortega (Illustr.), Leabhar Breac, 2013. *J. C. Girbés, ''Lá Mór Fada'' (''A Long Day''), Silvia Ortega (Illustr.), Leabhar Breac, 2014. *J. C. Girbés, ''Tabhair Leat do Leabhar'' (''Bring Your Book''), Silvia Ortega (Illustr.), Leabhar Breac, 2014. ==== Gradam Réics Carló ==== The Réics Carló prize is awarded for the best book in the Irish language for young readers. It is named for one of the characters of 20th-century writer [[wikipedia:Cathal_Ó_Sándair|Cathal Ó Sándair (Charles Saunders)]]. * ''An Bradán Feasa'' was “shortlisted for the Réics Carlo award 2010.”<ref name=":9" /> == References == {{reflist}} sldoynx29to5j3aih0posow7ac5q0ej 0 264917 2844399 2843205 2026-11-04T03:13:37Z Jtneill 10242 /* Recording */ Update for 2026 2844399 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 11: Positive psychology|eleventh}} {{Motivation and emotion/Tutorials/Complete2}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial: * distinguishes between [[w:Humanistic psychology|humanistic psychology]] and [[w:Positive psychology|positively psychology]] * examines underlying assumptions of humanistic psychology * discusses domains and characteristics of [[w:Self-actualisation|self-actualisation]] * explores types of [[w:Happiness|happiness]] and distinguishes between natural happiness and synthetic happiness Take-home messages: * '''Growth psychology''' assumes that people are naturally motivated towards personal growth. Two historical phases: ** humanistic psychology (1950s–1960s) ** positive psychology (1990s–present) * '''Humanistic psychology''' emphasises inner, natural motivation towards fulfilling one's potential ** '''Self-actualisation''' involves connecting to higher values, being autonomous, engaging deeply, and rich interpersonal relationships * '''Positive psychology''' is the science of happiness, life satisfaction, and optimisation of psychological well-being ** '''Happiness''' pursuit can be counter-intuitive. Humans aren't good at predicting what makes them happy (e.g., due to "impact bias" (overestimatation of hedonic impact). However, our "psychological immune system" "synthesises happiness" (when we don't get what we want). ==Growth psychology== <!-- {{RoundBoxTop|theme=2}} {{quote|Treatment is not just fixing what is broken; it is nurturing what is best.<br>Seligman and Csikszentmihalyi (2000)}} {{RoundBoxBottom}} --> Growth psychology encompasses two historical phases: * '''Humanistic psychology''' (1950s–1960s): Higher-order motivation towards reaching one's potential; focus on alignment with true self, actualising tendency, organismic valuing process, and self-actualisation * '''Positive psychology''' (1990s–present): Scientific study of how to develop psychological strengths and positive emotions which contribute to human flourishing and happiness ==Humanistic psychology== This section explores the assumptions of humanistic psychology and extent to which you experience the characteristics of self-actualisation. ===Assumptions=== How aligned are you with the assumptions of humanistic psychology? Consider these questions: [[File:Question - Evil.png|600px|center]] [[File:Question - Learning.png|600px|center]] [[File:Question - Therapy.png|600px|center]] <!-- (do a class line-up (as per [[Motivation and emotion/Tutorials/Introduction|the first tutorial]] --for each and discuss) # Where does '''evil''' come from? What causes anti-social behaviour? #* inherent in human nature? (people are good and bad) #* a product of a sick culture? (people are inherently good) # If a child expresses a somewhat socially undesirable temperament, would you recommend raising the child: #* to conform to the more socially-desirable temperament? #* in his or her natural temperament? # How does '''learning''' best occur? Through: #* well-designed curriculum with expert teaching? #* having one’s interests recognised and nurtured?<!-- identified, facilitated, and supported? # Does '''psychological therapy''' work best by: #* fixing what is broken? (dealing with the problem) #* nurturing what is best? (developing strengths) --> Which answers correspond to assumptions of humanistic psychology? (the 2nd answer in each case) <!-- # What other assumptions are made by humanistic psychology, growth motivation, and positive psychology? --> ===Self-actualisation=== ====What is self-actualisation?==== * Self-actualisation = fulfillment of potential * 16 characteristics of self-actualised people (Maslow, 1971) can be grouped into 4 domains: ** '''Values''': Connection to higher values/purpose (e.g., truth, love, and happiness) ** '''Autonomy''': Internal control ** '''Engagement''': Deep involvement, productivity, and happiness ** '''Relationships''': High quality interpersonal relationships * The last three domains map closely to self-determination theory's basic psychological needs (autonomy, competence, and relatedness). The first category (values) relates to meaning/purpose. ====Profile==== * To what extent is your life aligned with the [[w:Self-actualization#Characteristics of self-actualizers|characteristics of self-actualised people]] identified by [[w:Abraham Maslow|Abraham Maslow]]? * Complete this [https://docs.google.com/forms/d/e/1FAIpQLSfljofpop7-mVABK4CS9foyUQxoA1KJZXXNsn2z_LJi9yKVTA/viewform?usp=sf_link Self-actualisation profile] (Google Form).<!-- [[Motivation and emotion/Tutorials/Growth psychology/Self-evaluation of self-actualisation|Alternative version]] (Wikiversity). --> * Before submitting, note down: ** What are you doing '''''particularly well''''' that is helping you towards self-actualisation? ** What '''''could you improve''''' to better promote your growth towards self-actualisation? ** What self-actualisation characteristic(s) would you like to '''''share or learn more about'''''? e.g., *** 1. Acceptance of self, others, and nature and 6. conflict-resolution *** 2. Identification with humanity → biodiversity? *** 3. Emphasis on higher values — Maslow's triangle/pyramid may be a different shape for everyone? *** 7. Autonomy — appears throughout motivational and emotional psychology *** 8. Solitude enjoyment → includes being able to thrive without technology? *** 9. Spontaneity, 11. Creativity, and 12. Freshness — being open to experience and willing to jump in and explore *** 10. Problem-absorption — meaningful, interesting problems with skills, mindset, and habit to engage *** 13. Peak experiences — lowest rated characteristic; lived experiences of self-actualisation *** 14. High quality interpersonal relationships — appears throughout motivational and emotional psychology *** 16. Humour — mature sense of humour underappreciated and underesearched, yet widely recognised in everyday life as a powerful, prevalent aspect of human psycholosocial experience * Review class responses<!-- After submitting, click "See previous responses" to see graphs of class responses. --> <!-- ##Who does or could serve as an inspiration for you, towards self-actualisation? (Bearing in mind that Maslow claimed that only 1% of people self-actualise). # Review your self-ratings in terms of what you see as your strengths and weaknesses in moving towards being a self-actualising person. # What are the strongest aspects of your self-actualising? What is it that allows this to be so strong for you? # What are the weakest aspects which may be holding you back from self-actualising? What could you do to change/improve in this area? --> ==Positive psychology== [[Positive psychology]] emerged as a distinct field in the 1990s. It focused on scientific study of the development of human psychological strengths that contribute to optimal [[w:Well-being|well-being]], [[happiness]], and [[w:Life satisfaction|life satisfaction]]. ===Happiness types=== [[w:Martin Seligman|Martin Seligman]] suggests three components of [[w:Happiness|happiness]]: * '''Pleasant life''': Dealing with past, happiness in present (hedonic pleasure and the skills to amplify pleasure), optimism about future. Limitations: ** 50% heritable ** short-lived, subject to the [[w:Hedonic treadmill|hedonic treadmill]] (i.e., pleasure wears off quickly). * '''Good life''': Engagement (flow, absorption) or Eudaimonia; * '''Meaningful life''': Connection to a higher purpose [[w:Daniel Gilbert (psychologist)|Dan Gilbert]] suggests two types of happiness: * '''Natural happiness''': What we feel when we get what we want * '''Synthetic happiness''': What we feel when we learn to like what we get (instead of what we wanted) ===Science of happiness=== Consider: * How effective are people at making decisions that make them happy? * How well can you predict the emotional impact of "good" and "bad" events? * How accurate are humans at predicting their emotional reactions to events? These questions relate to what is known as [[w:Affective forecasting|affective forecasting]]. Although people often think they know what will make them happy, the psychological science shows that people are subject to many biases. For example, we tend to overestimate the hedonic impact of good and bad events (known as [[w:Impact bias|impact bias]]). This means that we think things will be much worse or better than they usually turn out to be. This bias undermines the effectiveness of our decision-making about how to be happy. The reason that "bad" events typically aren't as negatively impactful as we fear is that we have a "psychological immune system" which "synthesises happiness" to help us adjust when we don't get what we want. Ironically, then freedom of choice is a "friend" of natural happiness, but the "enemy" of synthetic happiness. These ideas are discussed in: [https://youtu.be/4q1dgn_C0AU?si=Qrgek6Jetd9FQ7iG&t=15 The surprising science of happiness] (Dan Gilbert, 2004, 21:00 mins, YouTube, TED Talk) (consider watching at 1.25x or 1.5x to save 4 or 8 minutes respectively) Questions to consider: * What is natural happiness? * What is impact bias? * What is synthetic happiness? * What is the role of freedom of choice in happiness? Gilbert's talk concludes with this quote about [[w:Affective forecasting|affective forecasting]] / impact bias: <blockquote>{{cquote|The great source of both the misery and disorders of human life, seems to arise from over-rating the difference between one permanent situation and another ... Some of those situations may, no doubt, deserve to be preferred to others: but none of them can deserve to be pursued with that passionate ardour which drives us to violate the rules either of prudence or of justice; or to corrupt the future tranquillity of our minds, either by shame from the remembrance of our own folly, or by remorse from the horror of our own injustice.|author=[[w:Adam Smith|Adam Smith]], ''[[w:The Theory of Moral Sentiments|The Theory of Moral Sentiments]]'', 1759}}</blockquote> ==Recording== * [https://au-lti.bbcollab.com/recording/f762cfbd63df49c18db0751aacf993f9 Tutorial 11] (2026)<!-- * [https://au-lti.bbcollab.com/recording/1438522430e74eaab86a345e951bc3e1 Tutorial 11] (2025) * [https://au-lti.bbcollab.com/recording/396e2297638b493c8d923774d7b4f571 Tutorial 11] (2024) * [https://au-lti.bbcollab.com/recording/92149522ca49425489b7ba8c198f6f89 Tutorial 11] (2023) * [https://au-lti.bbcollab.com/recording/37aa63c197dd4bda85eba115f61719c8 Tutorial 11] (2022) * [https://au-lti.bbcollab.com/recording/5a660bcd563a4e198822e8fba193a560 Tutorial 11] (2021) --> ==See also== ;Additional tutorial material * [[/Instructor notes/]] * [[../Growth psychology/Problems for discussion|Problems for discussion]] * [[../Growth psychology/Fully functioning person|Fully functioning person]] * [[../Growth psychology/Happiness - Practical exercises|Happiness - Practical exercises]] * [[../Growth psychology/Meaning and coherence|Meaning and coherence]] * [[../Growth psychology/Optimal human functioning|Optimal human functioning]] ;Book chapters * [[Motivation and emotion/Book/2024/Impact bias|Impact bias]] (Book chapter, 2024) * [[:Category:Motivation and emotion/Book/Happiness|Happiness]] (Category) * [[:Category:Motivation and emotion/Book/Positive psychology|Positive psychology]] (Category) * [[Motivation and emotion/Book/2017/Synthetic happiness|Synthetic happiness]] (Book chapter, 2017) ;Wikipedia People * [[w:Abraham Maslow|Abraham Maslow]] * [[w:Daniel Gilbert (psychologist)|Daniel Gilbert]] Topics * [[w:Affective forecasting|Affective forecasting]] * [[w:Happiness|Happiness]] * [[w:Impact bias|Impact bias]] * [[w:Self-actualization|Self-actualisation]] ;Lectures and tutorials * [[Motivation and emotion/Lectures/Growth psychology|Growth motivation and positive psychology]] (Lecture) * [[{{#titleparts:{{PAGENAME}}|2}}/Time perspective|Time perspective]] (Previous tutorial) * [[{{#titleparts:{{PAGENAME}}|2}}/Review|Review]] (Next tutorial) <!-- ;Admin * [[/Instructor notes/]] --> ==References== {{reflist}}{{Hanging indent|1= <!-- Antonovsky A. (1979). ''Health, stress and coping''. San Francisco: Jossey-Bass. Antonovsky A. (1987). ''Unraveling the mystery of health: How people manage stress and stay well''. San Francisco: Jossey-Bass. Antonovsky A. (1993). The structure and properties of the sense of coherence scale. ''Social Science & Medicine'', ''36'', 725-733. --> Brickman, P., Coates, D., & Janoff-Bulman, R. (1978). [https://www.talenteck.com/academic/Brickman-Coates-Janoff-1978.pdf Lottery winners and accident victims: Is happiness relative?]. ''Journal of Personality and Social Psychology'', ''36''(8), 917–927. Gilbert, D. (2009). ''[[w:Stumbling on Happiness|Stumbling on happiness]]''. Vintage.[https://happiness.care/wp-content/uploads/2020/09/Stumbling-on-Happiness.pdf] Wilson, T. D., & Gilbert, D. T. (2005). Affective forecasting: Knowing what to want. ''Current Directions in Psychological Science'', ''14''(3), 131–134. https://doi.org/10.1111/j.0963-7214.2005.00355.x }} ==External links== * [http://www.authentichappiness.com Authentic happiness] (authentichappiness.sas.upenn.edu) <!-- * [http://www.liberalarts.wabash.edu/ryff-scales/ Psychological well-being scale] (Ryff) --> * [https://www.search-institute.org/our-research/development-assets/developmental-assets-framework The developmental assets framework] (search-institute.org) * [https://blog.ted.com/ten-years-later-dan-gilbert-on-life-after-the-surprising-science-of-happiness/ Ten years later: Dan Gilbert] (blog.ted.com) * [http://www.aracy.org.au/projects/the-common-approach The common approach] (aracy.org.au) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Positive psychology]] 6is16bspl3yprebibrs8h7mnfttpmgz 0 264918 2844389 2830411 2026-11-04T03:06:43Z Jtneill 10242 /* Recording */ 2844389 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/In development}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] Baleen whales (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 48 multiple choice questions (1 mark each) ** ~3 questions from lecture/reading ** ~1 questions from each tutorial * 3 (out of 12 possible) short answer questions (3 marks each) * Use concise bullet-points * Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials — listen, take notes, and summarise key ideas * Study each reading (Reeve, 2018/2024) — 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure — ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context?�Maximum 50 words. Use up to 3 bullet-points. (3 marks) * Accurately labels and describes a relevant theoretical construct/principle (1 mark) * Demonstrates critical/insightful/nuanced understanding of the principle (1 mark) * Shows realistic, practical application (1 mark) ==Recording== * [Tutorial 12] (2026) * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)]<!-- * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] igrqbjzjyyr9d6vijfkpvp2uwx31hyj 2844391 2844389 2026-11-04T03:07:21Z Jtneill 10242 /* Example short-answer question */ Update for 2026 2844391 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/In development}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] Baleen whales (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 48 multiple choice questions (1 mark each) ** ~3 questions from lecture/reading ** ~1 questions from each tutorial * 3 (out of 12 possible) short answer questions (3 marks each) * Use concise bullet-points * Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials — listen, take notes, and summarise key ideas * Study each reading (Reeve, 2018/2024) — 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure — ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context? Maximum 50 words. Use up to 3 bullet-points. (4 marks) * Accurately labels and describes a relevant theoretical construct/principle (1.33 marks) * Demonstrates critical/insightful/nuanced understanding of the principle (1.33 marks) * Shows realistic, practical application (1.33 marks) ==Recording== * [Tutorial 12] (2026) * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)]<!-- * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] ffcgeaul4f5ekjtiloe50w7dvw9cnme 2844392 2844391 2026-11-04T03:07:50Z Jtneill 10242 /* Preparation tips */ 2844392 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/In development}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] Baleen whales (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 48 multiple choice questions (1 mark each) ** ~3 questions from lecture/reading ** ~1 questions from each tutorial * 3 (out of 12 possible) short answer questions (3 marks each) * Use concise bullet-points * Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials—listen, take notes, and summarise key ideas * Study each reading (Reeve, 2024)— 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure—ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context? Maximum 50 words. Use up to 3 bullet-points. (4 marks) * Accurately labels and describes a relevant theoretical construct/principle (1.33 marks) * Demonstrates critical/insightful/nuanced understanding of the principle (1.33 marks) * Shows realistic, practical application (1.33 marks) ==Recording== * [Tutorial 12] (2026) * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)]<!-- * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] rlwatrco97uufrkf1wnptfo1sj2uix6 2844393 2844392 2026-11-04T03:08:56Z Jtneill 10242 /* Format */ Update for 2026 2844393 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/In development}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] Baleen whales (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 68 marks available from 59 questions ** 56 multiple choice questions (1 mark each) *** ~3 to 4 questions from lecture/reading *** ~1 questions from each tutorial ** 3 (out of 12 possible) short answer questions (4 marks each) *** Use concise bullet-points *** Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials—listen, take notes, and summarise key ideas * Study each reading (Reeve, 2024)— 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure—ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context? Maximum 50 words. Use up to 3 bullet-points. (4 marks) * Accurately labels and describes a relevant theoretical construct/principle (1.33 marks) * Demonstrates critical/insightful/nuanced understanding of the principle (1.33 marks) * Shows realistic, practical application (1.33 marks) ==Recording== * [Tutorial 12] (2026) * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)]<!-- * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] 9fb7p76iwdbgon99vlguuacudzow3k8 2844394 2844393 2026-11-04T03:09:22Z Jtneill 10242 Update for 2026 2844394 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/Complete2}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] Baleen whales (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 68 marks available from 59 questions ** 56 multiple choice questions (1 mark each) *** ~3 to 4 questions from lecture/reading *** ~1 questions from each tutorial ** 3 (out of 12 possible) short answer questions (4 marks each) *** Use concise bullet-points *** Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials—listen, take notes, and summarise key ideas * Study each reading (Reeve, 2024)— 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure—ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context? Maximum 50 words. Use up to 3 bullet-points. (4 marks) * Accurately labels and describes a relevant theoretical construct/principle (1.33 marks) * Demonstrates critical/insightful/nuanced understanding of the principle (1.33 marks) * Shows realistic, practical application (1.33 marks) ==Recording== * [Tutorial 12] (2026) * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)]<!-- * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] j1f3h9ebgd7424hm4civvnccsdu41fw 2844395 2844394 2026-11-04T03:10:37Z Jtneill 10242 /* Nuggets of truth */ + [[w:Baleen whale|Baleen whale]] link 2844395 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/Complete2}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] [[w:Baleen whale|Baleen whale]]s (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 68 marks available from 59 questions ** 56 multiple choice questions (1 mark each) *** ~3 to 4 questions from lecture/reading *** ~1 questions from each tutorial ** 3 (out of 12 possible) short answer questions (4 marks each) *** Use concise bullet-points *** Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials—listen, take notes, and summarise key ideas * Study each reading (Reeve, 2024)— 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure—ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context? Maximum 50 words. Use up to 3 bullet-points. (4 marks) * Accurately labels and describes a relevant theoretical construct/principle (1.33 marks) * Demonstrates critical/insightful/nuanced understanding of the principle (1.33 marks) * Shows realistic, practical application (1.33 marks) ==Recording== * [Tutorial 12] (2026) * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)]<!-- * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] 9dws7dwtiapygz466cq6kqhgsc9gl6v 2844396 2844395 2026-11-04T03:11:13Z Jtneill 10242 /* Nuggets of truth */ 2844396 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/Complete2}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] [[w:Baleen whale|Baleen whale]]s (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] ;Nuggets of truth <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 68 marks available from 59 questions ** 56 multiple choice questions (1 mark each) *** ~3 to 4 questions from lecture/reading *** ~1 questions from each tutorial ** 3 (out of 12 possible) short answer questions (4 marks each) *** Use concise bullet-points *** Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials—listen, take notes, and summarise key ideas * Study each reading (Reeve, 2024)— 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure—ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context? Maximum 50 words. Use up to 3 bullet-points. (4 marks) * Accurately labels and describes a relevant theoretical construct/principle (1.33 marks) * Demonstrates critical/insightful/nuanced understanding of the principle (1.33 marks) * Shows realistic, practical application (1.33 marks) ==Recording== * [Tutorial 12] (2026) * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)]<!-- * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] psbzp0oghwlmtcq94zhoiqv7f2zq1iq 2844436 2844396 2026-11-04T07:28:36Z Jtneill 10242 /* Recording */ Update for 2026 2844436 wikitext text/x-wiki {{Motivation and emotion/Tutorials|Tutorial 12: Review|twelth}} {{Motivation and emotion/Tutorials/Complete2}} <!-- {{Motivation and emotion/Tutorials/Complete2}} --> <!-- {{Motivation and emotion/Tutorials/In development}} --> ==Overview== This tutorial provides active review of key learnings from the unit. ==Nuggets of truth== [[File:Kaskelix.png|200px|right|thumb|Figure 1. [[w:Baleen whale|Baleen whale]]s include the largest animals on earth. Yet they eat the tiniest food – plankton. How is this possible? And how does this relate to learning?]] [[w:Baleen whale|Baleen whale]]s (such as the Blue Whale which is the largest animal on earth) eats the tiniest food – plankton (see Figure 1). How does it grow so big from such tiny food? A baleen whale swallows large volumes of sea water and uses its baleen to filter out plankton for consumption. Learners are similar to baleen whales. After being exposed to a large volume of content, what really matters is what has been filtered out and extracted by learners. What are the key ideas? Thus, this exercise seeks to crystallise and share the: * pearls of wisdom * nuggets of truth * flashes of insight * a-ha moments * take-home messages etc. that have been sparked by your engagement with the [[motivation and emotion]] unit. {{RoundBoxTop|theme=1}} [[File:Treasurchest.svg|right|90px]] [[File:Pearl 1.svg|right|60px]] ;Nuggets of truth <!-- # What pearls of wisdom or nuggets of truth have occurred to you through this unit? # Write each pearl of wisdom on a separate post-it note (generate as many as possible) - place these nuggets upside down in a collective pile. Sources may include: --> # What are the '''greatest insights''' or '''best ideas''' about motivation and emotion you've acquired through this unit? # What was the '''take-home message''' of the chapter and presentation you worked on? <!-- # Take turns to pick up a random nugget, read it out to the class, explain what you think the author means, then then select a location for the nugget on the wall (organise around themes) --> # What have you learnt from the unit that you've '''put into practice''' in your own life? # What aspect(s) of motivation and emotion are you '''inspired to learning more about''' in future? <!-- # Based on these nuggets of truth, what meta-themes emerge? --> Share your ideas via [[Motivation and emotion/Nuggets of truth|Wikiversity]]<!-- or [https://docs.google.com/document/d/1oX6O1sYdctL2FPpMRQbJ1pDTN8bgvTgPsHoMTCOynvQ/edit?usp=sharing Google Docs] --> {{RoundBoxBottom}} <!-- Note that in Ch 17 (Conclusion), [[Motivation and emotion/Readings/Textbooks/Reeve/2018|Reeve (2018)]] suggests a pearl of wisdom per chapter in order to capture the spirit and messages of the book. ==Transferable knowledge and skills== This exercise seeks to identify and articulate transferable: * knowledge * skills * experience * artifacts etc. from your engagement with the [[motivation and emotion]] unit towards future learning and employability. If it helps, look over the lectures and tutorials: [[Motivation and emotion/About/Schedule|Schedule]]. {{RoundBoxTop|theme=2}} [[File:Gear icon svg.svg|right|90px]] What skills, knowledge, experience have you developed through [[motivation and emotion]] that could be added to your resume? Let's build a collaborative resume resource via [https://docs.google.com/document/d/1QlKC3k0bdkvWdxAYv0a0CTHztQ-OdS8IGKLYDZ6dysQ/edit Google Docs]: * [https://docs.google.com/document/d/1R6KqWqcAT2ibuAtw_0u-Opw5Vo1oRv70Ymr4dyqzHf8/edit?usp=sharing 2022] * [https://docs.google.com/document/d/1IEd3iW3DHARN7LgRmEcV0yqSlbnjuU8zRH2dQQ9idPc/edit?usp=sharing 2021] * [https://docs.google.com/document/d/1g6coLfj6RKqS493z9XpFeyPsJ838AvRTYOaJ1P25UQk/edit?usp=sharing 2020] {{RoundBoxBottom}} --><!-- ==Multimedia presentation== # Have you read the [[Motivation and emotion/Assessment/Multimedia|multimedia presentation guidelines]]? # Have you watched the [https://au-lti.bbcollab.com/collab/ui/session/playback/load/dc7be9f21cad48019e2e63557e63f1a8 how to record a multimedia presentation and publish it online]? # What ideas do you have? ## Format? ## Platform? ## Content? # FAQ ## Image attributions ## References # What questions do you have? --> ==Exam== ===Format=== * 68 marks available from 59 questions ** 56 multiple choice questions (1 mark each) *** ~3 to 4 questions from lecture/reading *** ~1 questions from each tutorial ** 3 (out of 12 possible) short answer questions (4 marks each) *** Use concise bullet-points *** Maximum 50 words ===Preparation tips=== * Read the exam guidelines (see UCLearn) * Review the 12 lectures and 12 tutorials—listen, take notes, and summarise key ideas * Study each reading (Reeve, 2024)— 3 electronic copies of each edition in the library * Practice with the 6 online quizzes (drawn from a test bank) * Draft answers to the 12 open-ended questions * Clarify if unsure—ask questions ===Example short-answer question=== What is the most valuable theoretical insight you developed about motivation and/or emotion through this unit, and how does it apply in a specific, real-world context? Maximum 50 words. Use up to 3 bullet-points. (4 marks) * Accurately labels and describes a relevant theoretical construct/principle (1.33 marks) * Demonstrates critical/insightful/nuanced understanding of the principle (1.33 marks) * Shows realistic, practical application (1.33 marks) ==Recording== * [https://au-lti.bbcollab.com/recording/9aff07865f53456b95dae25ff32aa282 Tutorial 12] (2026)<!-- * [https://au-lti.bbcollab.com/recording/ca615c73d74c4636bb9fc8aa085a4954 Tutorial 12 (2025)] * [https://au-lti.bbcollab.com/recording/97113a3620ad48f8b33dbd9684c97a8f Tutorial 12] (2023) (there was no recording in 2024) * [https://au-lti.bbcollab.com/recording/bb861534bc884227b22e1bed124de575 Tutorial 12] (2022) * [https://au-lti.bbcollab.com/recording/600d647d3f1e40ebb00e5c9d0d604aa7 Tutorial 12] (2021) --> ==See also== ;Additional tutorial material * [[../Growth psychology/Case study scenarios|Case study scenarios]] <!-- ;Book chapters ;Wikipedia ;Admin * [[/Instructor notes/]] --> ;Lecture * [[{{#titleparts:{{PAGENAME}}|1}}/Lectures/Interventions and review|Interventions and review]] (Lecture) ; Tutorial * [[../Positive psychology|Positive psychology]] (Previous tutorial) <noinclude>{{Motivation and emotion/Tutorials/Navigation}}</noinclude> [[Category:Motivation and emotion/Tutorials/Review]] lquk0z5b6v4b9trksmdkzhffcb6s593 0 269180 2844390 2833638 2026-11-04T03:06:52Z James500 297601 /* Japanese */ Add 2844390 wikitext text/x-wiki {{Bibliography}} See also [[Universal Bibliography/Bibliography|Bibliography]] This part of the [[Universal Bibliography]] is a bibliography of literature. See [[s:Category:Literature]], [[s:Category:History of literature]], [[w:Bibliography of encyclopedias: literature]] and [[w:Category:Works about literature]] ==World== *Cassell's Encyclopaedia of World Literature. 1953. 2nd Ed: 1973. vol 1 (histories and general articles): [https://books.google.co.uk/books?id=soIYAAAAIAAJ]. vol 3: [https://books.google.co.uk/books?id=AIEYAAAAIAAJ]. Commentary: [https://books.google.co.uk/books?id=Utcb32E7rsMC&pg=PA197#v=onepage&q&f=false]. *Damrosch. What is World Literature? 2003. [https://books.google.co.uk/books?id=yY-17mtp9R8C&pg=PP1#v=onepage&q&f=false] Series: *Edmund Gosse (ed). Literatures of the World. D Appleton and Co [https://en.m.wikisource.org/wiki/Page:A_history_of_Bohemian_literature.pdf/444] ==English== *Bateson. Cambridge Bibliography of English Literature. 1940. Watson, Supplement 1957. *Concise Cambridge Bibliography of English Literature *New Cambridge Bibliography of English Literature *Annual Bibliography of English Language and Literature. Cambridge University *Ewen. Bibliography of Eighteenth Century English Literature. Columbia University. 1935 *Marcuse. A Reference Guide for English Studies. University of Calfornia. 1990 *Bracken. Reference Works in British and American Literature. Libraries Unlimited. 1998 *Kennedy and Sands. A Concise Bibliography for Students of English. Stanford University *Pelican Guide to English Literature *[[w:The Cambridge History of English and American Literature|Cambridge History of English and American Literature]] *[[s:The Cambridge History of English Literature|Cambridge History of English Literature]] *Concise Cambridge History of English Literature *New Cambridge History of English Literature *Oxford History of English Literature *Oxford Illustrated History of English Literature *Short Oxford History of English Literature *Routledge History of Literature in English *Cambridge History of Early Medieval English Literature *Cambridge History of Medieval English Literature *Cambridge History of Early Modern English Literature *Cambridge History of Victorian Literature *Cambridge History of Twentieth Century English Literature *[[s:The Cambridge History of American Literature|Cambridge History of American Literature]] Periodicals *Liverpool Magazine (1890) *Literary Garner (1835) ===United States=== See [[w:Category:American literature by state]] *Dershem. An Outline of American State Literature. 1921 Arizona: *Joseph Amasa Munk, History of Arizona Literature, 1925 *Mary G Boyer, Arizona in Literature, 1935 *Etulain, "Contours of Culture in Arizona and the Modern West" in Luey and Stowe, Arizona at  Seventy-five, 1987 *Diaz, "A Bibliography of Bibliographies Relating to the History and Literature of Arizona and New Mexico" (1958) 14 Arizona Quarterly 197 Colorado: *Eugene Parsons, "Colorado Literature" in Stone, History of Colorado, 1918, volume 1, chapter 42, p 877 [https://books.google.co.uk/books?id=-uVYAAAAMAAJ] *Levette J Davidson, "The Literature of Colorado" in Hafen. Colorado and Its People: A Narrative and Topical History of the Centennial State. Volume 2. Chapter 8. Page 225 [https://books.google.co.uk/books?id=sncXAAAAIAAJ] *Fritz. "Literature". Colorado, the Centennial State. 1941. p 417 [https://books.google.co.uk/books?id=EU0UAAAAYAAJ] *"Books and Writers". Colorado, a Guide to the Highest State. 1941. p 96 [https://books.google.co.uk/books?id=3o8GAQAAIAAJ] *Eugene Parsons, "The Study of Colorado Literature" (1918) Colorado School Journal, vols 34-35, p 24 [https://books.google.co.uk/books?id=QxNRAQAAMAAJ] *"A Plea for the Study of Colorado Literature" (1918) The Trail: A Magazine "for Colorado", vol 11, p 12 [https://books.google.co.uk/books?id=K7QTAAAAYAAJ] Oregon: *Powers, Alfred. History of Oregon Literature. Metropolitan Press. 1935 [https://books.google.co.uk/books?id=JzELAAAAMAAJ] *Horner, John B. Oregon Literature. 1899 [https://books.google.co.uk/books?id=3ecWSpoFMcQC&pg=PA1#v=onepage&q&f=false] ==French== See [[s:Category:French literature]] Bibliographies and bibliographical works: *A Critical Bibliography of French Literature. Syracuse University Press. [https://books.google.co.uk/books?id=IFJQl7eUrg4C&pg=PR3#v=onepage&q&f=false vol 5] *Bassan, Breed and Spinelli. An Annotated Bibliography of French Language and Literature. 2nd Ed: 1976 [https://books.google.co.uk/books?id=BdkaAAAAMAAJ] *French XX Bibliography: A Bibliography for the Study of French Literature and Culture since 1885. [https://books.google.co.uk/books?id=VxVxFxyDOmkC&pg=PA19125#v=onepage&q&f=false] *Foulet. A Bibliography of Medieval French Literature for College Libraries. 1915 [https://books.google.co.uk/books?id=httNAQAAIAAJ] *Kirsop. The Bibliography of French Literary History: Progress, Problems, Projects. 1964. [https://books.google.co.uk/books?id=Xt7nAAAAMAAJ] *Jaffe. Bibliography of French Literature in American Magazines in the 18th Century. Michigan State College Press. 1951. [https://books.google.co.uk/books?id=Cy7GGsr1NI8C] *Raimbert. French Literature in Mauritius (1800-1979): A Select Bibliography in the City Library of Port Louis. 1980 [https://books.google.co.uk/books?id=eQYpAQAAIAAJ] *French Literature in Early American Translation: A Bibliographical Survey of Books and Pamphlets Printed in the United States from 1668 Through 1820. 1977. [https://books.google.co.uk/books?id=CYI0AQAAIAAJ] History: *Cambridge History of French Literature *Coward. A History of French Literature: From Chanson de geste to Cinema. 2002. Paperback 2004. [https://books.google.co.uk/books?id=K8uS9vLpwuYC&lpg=PP1&pg=PR3#v=onepage&q&f=false] *Hollier. A New History of French Literature. 1989. 1994. [https://books.google.co.uk/books?id=nGQOodBVG9YC&pg=PP1#v=onepage&q&f=false] *Cazamian. A History of French Literature. Clarendon Press.1955. Reprinted 1967. [https://books.google.co.uk/books?id=W5PwAAAAMAAJ] *Nitze and Dargan. A History of French Literature: From the Earliest Times to the Present. 1930. [https://books.google.co.uk/books?id=QT0nAAAAMAAJ] *Butler. A History of French Literature. 1923. Reissued 1966. [https://books.google.co.uk/books?id=sPAoAAAAYAAJ] *Dowden. A History of French Literature. (Literatures of the World). 1900 [https://books.google.co.uk/books?id=XWdcAAAAMAAJ] *Wright. A History of French Literature. (Oxford French series). [https://books.google.co.uk/books?id=_O0oAAAAYAAJ] *Schwarz. An Outline History of French Literature. 1924. 1932. [https://books.google.co.uk/books?id=9_fnAAAAMAAJ] *Demogeot. History of French Literature. Adapted from the French by Bridge. 1874. [https://books.google.co.uk/books?id=LgxONYxlEogC&pg=PP9#v=onepage&q&f=false] *Brunetière. Manual of the History of French Literature. 1898. [https://books.google.co.uk/books?id=WOHnAAAAMAAJ] *Brereton. A Short History of French Literature. 1954. 2nd Ed:1976. [https://books.google.co.uk/books?id=DegoAAAAYAAJ] *Bisson. A Short History of French Literature: From the Middle Ages to the Present Day. 1943. [https://books.google.co.uk/books?id=TLQywgEACAAJ] *Hudson and Jack. A Short History of French Literature. 1919 [https://books.google.co.uk/books?id=8xIPAAAAQAAJ] *Saintsbury. A Short History of French Literature. 1882. 2nd Ed: 1884. 7th Ed: 1917 [https://books.google.co.uk/books?id=WDoTAAAAMAAJ] [https://books.google.co.uk/books?id=AWFcAAAAMAAJ] *Finch. French Literature: A Cultural History. 2010. [https://books.google.co.uk/books?id=8L0Z8uYUWj0C&pg=PP1#v=onepage&q&f=false] *Prendergast. History of Modern French Literature: From the Sixteenth Century to the Twentieth Century. 2017. [https://books.google.co.uk/books?id=2QtpDQAAQBAJ&pg=PP1#v=onepage&q&f=false] *Laun. History of French Literature: From the Classical Renaissance until the End of the Reign of Louis XIV. 1883. [https://books.google.co.uk/books?id=bdZEAQAAIAAJ] *Farrant. Introduction to Nineteenth-Century French Literature. 2007. [https://books.google.co.uk/books?id=m4HjBAAAQBAJ&pg=PP1#v=onepage&q&f=false] *Vinet. History of French Literature in the Eighteenth Century. Translated by Bryce. 1854. [https://books.google.co.uk/books?id=5M803wEuBswC&pg=PR1#v=onepage&q&f=false] *Jacqueline Cerquiglini-Toulet. A New History of Medieval French Literature. Translated by Sara Preisig. 2011. [https://books.google.co.uk/books?id=h42MQw6TfAcC&pg=PT3#v=onepage&q&f=false] *Konta. The History of French Literature: From the Oath of Strasburg to Chanticler. 1914. [https://books.google.co.uk/books?id=g2FcAAAAMAAJ] *Cambridge Companion to Medieval French Literature *Holmes. A History of Old French Literature: From the origins to 1300. 1938. Revised Ed: 1962. [https://books.google.co.uk/books?id=0UxcAAAAMAAJ] *Sainstbury. A History of the French Novel (to the Close of the 19th Century). 1919. [https://books.google.co.uk/books?id=GAxJAQAAIAAJ] ==Japanese== *Ryōzō Matsumoto. Japanese Literature New and Old. Hokuseido Press. 1966. [https://books.google.co.uk/books?id=EzftWTtGXzgC] *J Ingram Bryan. The Literature of Japan. 1929. Kennikat Press. Port Washington. Reissued 1970. [https://books.google.co.uk/books?id=BwazAAAAIAAJ] *Clay MacCauley. Japanese Literature. 1898. [https://books.google.co.uk/books?id=9nYuAAAAYAAJ&pg=PP7#v=onepage&q&f=false] *Epiphanius Wilson. Japanese Literature: Including Selections from Genji Monogatari and Classical Poetry and Drama of Japan. 1900. [https://books.google.co.uk/books?id=Iy4NAAAAYAAJ&pg=PP7#v=onepage&q&f=false] *Katsuhiko Takeda. Essays on Japanese Literature. Waseda University Press. 1977. [https://books.google.co.uk/books?id=VKkPAAAAYAAJ] *Suzuki Sadami. The Concept of "Literature" in Japan. International Research Center for Japanese Studies. Kyoto. 2006. [https://books.google.co.uk/books?id=DMQ_AQAAIAAJ] Bibliography *Modern Japanese Literature in Western Translations: A Bibliography. International House of Japan Library. [https://books.google.co.uk/books?id=WZ7QAAAAMAAJ] Bibliographies of Japanese books *Bibliotheca Japonica: Verzeichniss einer Sammlung Japanischer Bucher in 1408 Banden im Besitze des k.k. Hof-und Universitatsbuchhandlers Wilhelm Ritter von Braumuller. Druck von Adolf Holzhausen in Wien. 1875. [https://books.google.co.uk/books?id=QKptwAr3bpMC&pg=PA1#v=onepage&q&f=false] Periodicals *Japanese Literature Today [https://books.google.co.uk/books?id=NyYHAQAAIAAJ] *[[w:Proceedings of the Association for Japanese Literary Studies|Proceedings of the Association for Japanese Literary Studies]] Kokubungaku and nihonbungaku *Tomoko Aoyama. "From national literature to multicultural literature in Japanese language". Kaori Okano and Yoshio Sugimoto (eds). Rethinking Japanese Studies: Eurocentrism and the Asia-Pacific Region. Routledge Contemporary Japan Series. Chapter 4. pp [https://books.google.co.uk/books?id=sEcrDwAAQBAJ&pg=PA53#v=onepage&q&f=false 53] to 72. Reviewed *Donald Richie. Japanese Literature Reviewed. 2003. [https://books.google.co.uk/books?id=ejJmAAAAMAAJ] History *Shuichi Kato. A History of Japanese Literature: From the Man'yōshū to Modern Times. New Abridged Edition. Japan Library. 1997. [https://books.google.co.uk/books?id=wUxOuD0NS5kC&pg=PP1#v=onepage&q&f=false] *Edward Putzar. Japanese Literature: A Historical Outline. University of Arizona Press. [https://books.google.co.uk/books?id=2kiBAAAAIAAJ] *W G Aston. A History of Japanese Literature. (Literatures of the World). 1903. [https://books.google.co.uk/books?id=T4EMAAAAYAAJ&pg=PR3#v=onepage&q&f=false] *Naomi Fukuda (ed). Literature. (Japanese History: A Guide to Survey Histories, Part 2). Center for Japanese Studies, University of Michigan. 1984. [https://books.google.co.uk/books?id=QsoUAQAAIAAJ] Today *A Survey of Japanese Literature Today. Japan P.E.N. Club. 1984. [https://books.google.co.uk/books?id=OcFDAQAAIAAJ] Contemporary *Kokusai Bunka Shinkokai (Japan Cultural Society). Introduction to Contemporary Japanese Literature: Synopese of Major Works: 1956-1970. University of Tokyo Press. 1972. [https://books.google.co.uk/books?id=XPQkHx6wR4IC] Modern *A Classified Catalogue of Modern Japanese Literature (Meiji, Taisho, Showa). University of Washington Library. 1964. [https://books.google.co.uk/books?id=lD8XAQAAMAAJ] *Routledge Handbook of Modern Japanese Literature. 2016. [https://books.google.co.uk/books?id=EMpJDAAAQBAJ&pg=PP1#v=onepage&q&f=false] *J Thomas Rimer and Van C Gessel (eds). The Columbia Anthology of Modern Japanese Literature. 2007. vol 2. [https://books.google.co.uk/books?id=BAg9tUJR1aEC&pg=PP1#v=onepage&q&f=false] **Abridged. 2011. [https://books.google.co.uk/books?id=VrEYtVFv67oC&pg=PP1#v=onepage&q&f=false vol 1]. *Karatani Kōjin. Origins of Modern Japanese Literature. 1993. [https://books.google.co.uk/books?id=hPJO2vEQgjYC&pg=PP1#v=onepage&q&f=false] *Kan Kikuchi. History and Trends of Modern Japanese Literature. Tokyo. 1936. [https://books.google.co.uk/books?id=TU4DAAAAMAAJ] *Edward Mack. Manufacturing Modern Japanese Literature: Publishing, Prizes, and the Ascription of Literary Value. [https://books.google.co.uk/books?id=WnDI6s9surUC&pg=PP1#v=onepage&q&f=false] *Donald Keene (ed). Modern Japanese Literature: From 1868 to the Present Day. Grove Press. 1956. [https://books.google.co.uk/books?id=5yxkAAAAMAAJ] *Saeki Shōichi. Hidden Dimensions in Modern Japanese Literature. The Japan Foundation, Office for the Japanese Studies Center. [https://books.google.co.uk/books?id=OCYHAQAAIAAJ] 20th century and Showa era *[https://www.nippon.com/en/series/c152/ Japanese Literature in the Twentieth Century: A Shōwa Retrospective]. Nippon.com **[https://www.nippon.com/en/japan-topics/c15201/ Writing in the Shadow of Oppression: Japanese Books from 1926 to 1944] **[https://www.nippon.com/en/japan-topics/c15202/ Shaped by Conflict: Japanese Literature After World War II] **[https://www.nippon.com/en/japan-topics/c15203/ Seeking New Values in an Age of Growth: Japanese Books from 1955 to 1964] **[https://www.nippon.com/en/japan-topics/c15204/ Historical Fiction and Social Issues: Japanese Books from 1965 to 1974] **[https://www.nippon.com/en/japan-topics/c15205/ The Rise of Popular Fiction: Japanese Books in the 1970s and 1980s] Meiji and Taisho *Kimura Ki (editor and compiler). Japanese Literature: Manners and Customs in the Meiji-Taishó Era. Ōbunsha. [https://books.google.co.uk/books?id=rBQrAAAAIAAJ] Early modern *Haruo Shirane (ed). Early Modern Japanese Literature: An Anthology, 1600-1900. Abridged Edition. 2008. [https://books.google.co.uk/books?id=SN72QCVBpVAC&pg=PP1#v=onepage&q&f=false] Classical *The Princeton Companion to Classical Japanese Literature [https://books.google.co.uk/books?id=BSmMbQhafJoC&pg=PP1#v=onepage&q&f=false] *Introduction to Classic Japanese Literature. Kokusai Bunka Shinkokai. 1948. [https://books.google.co.uk/books?id=WJAPAAAAYAAJ] Traditional *Haruo Shirane (ed). Traditional Japanese Literature: An Anthology, Beginnings to 1600. 2007. [https://books.google.co.uk/books?id=LsHfIsIXgEgC&pg=PP1#v=onepage&q&f=false] Literary criticism; Literary studies *Seth Jacobowitz and Jonathan E Abel (eds). Modern Japanese Literary Studies. 2026. [https://books.google.co.uk/books?id=s-_AEQAAQBAJ&pg=PP1#v=onepage&q&f=false] *Studies in Modern Japanese Literature: Essays and Translations in Honor of Edwin McClellan. 1997. [https://books.google.co.uk/books?id=_5EPAAAAYAAJ] Anthology *Donald Keene. Anthology of Japanese Literature from the earliest era to the mid-nineteenth century. Grove Press. 1955. [https://books.google.co.uk/books?id=9h8tAAAAMAAJ] Great Britain. 1956. [https://books.google.co.uk/books?id=LCxkAAAAMAAJ]. Evergreen Ed: 1960. [https://books.google.co.uk/books?id=rumBAAAAIAAJ] Novels Modern novels *Nancy Junko Beauchamp. Modern Japanese Novels in English: A Selected Bibliography. Service Center for Teachers of Asian Studies, Association for Asian Studies, Ohio State University. May 1974. [https://books.google.co.uk/books?id=WltEAAAAIAAJ] *Kinya Tsuruta and Thomas E Swann (eds). Approaches to the Modern Japanese Novel. Sophia University. Tokyo. 1976. [https://books.google.co.uk/books?id=bhdkAAAAMAAJ] Short stories *Theodore W Goossen. The Oxford Book of Japanese Short Stories. 1997. Reissued 2002. [https://books.google.co.uk/books?id=VWfJkFfyBn0C&pg=PP1#v=onepage&q&f=false] Modern short stories *Thomas E Swann and Kinya Tsuruta (eds). Approaches to the Modern Japanese Short Story. Waseda University Press. 1982. [https://books.google.co.uk/books?id=IJYPAAAAYAAJ] Poetry *"Japan, Poetry of". The Princeton Encyclopedia of Poetry and Poetics. 4th Ed. [https://books.google.co.uk/books?id=uKiC6IeFR2UC&&pg=PA754#v=onepage&q&f=false p 754]. See also articles "Japan, Modern Poetry of" and "Japanese Poetics". *J Thomas Rimer and Robert E Morrell. Guide to Japanese Poetry. 1975: [https://books.google.co.uk/books?id=EysyAAAAMAAJ]. 2nd Ed: 1984: [https://books.google.co.uk/books?id=BPEaAAAAMAAJ]. *Yone Noguchi. The Spirit of Japanese Poetry. [https://books.google.co.uk/books?id=5K8PAAAAYAAJ] *Miyamori Asatarō. Masterpieces of Japanese Poetry Ancient and Modern. [https://books.google.co.uk/books?id=hnAmAQAAIAAJ] *Dean Anthony Brink. Japanese Poetry and its Publics: From Colonial Taiwan to Fukushima. [https://books.google.co.uk/books?id=IUk4DwAAQBAJ&pg=PP1#v=onepage&q&f=false] *Curtis Hidden Page. Japanese Poetry: An Historical Essay with Two Hundred and Thirty Translations. 1923. [https://books.google.co.uk/books?id=rqEPAAAAYAAJ] *Thomas Fitzsimmons. Japanese Poetry Now. Schocken Books. 1972. [https://books.google.co.uk/books?id=TQ4QAAAAYAAJ] *Leith Morton. An Anthology of Contemporary Japanese Poetry. Garland Publishing. 1993. [https://books.google.co.uk/books?id=0OwPAAAAYAAJ] *Leith Morton. Avant-Garde Japanese Poetry and Poetics: Contemporary Poetry Handbook, 2000–2021. 2026. [https://books.google.co.uk/books?id=7obXEQAAQBAJ&pg=PP1#v=onepage&q&f=false] *Leith Morton. Modernism in Practice: An Introduction to Postwar Japanese Poetry. 2004. [https://books.google.co.uk/books?id=3N5G6WvGLi0C&pg=PP1#v=onepage&q&f=false] *Harry and Lynn Guest and Kajima Shozo. Post-war Japanese Poetry. 1972. Penguin Books. [https://books.google.co.uk/books?id=5QoQAAAAYAAJ] *Alexander Dolin. The Silver Age of Japanese Poetry: Romanticism and Symbolism. Akita International University Press. 2010. [https://books.google.co.uk/books?id=0IdT0XOoLeoC] *Steven D Carter. Traditional Japanese Poetry: An Anthology. Stanford University Press. [https://books.google.co.uk/books?id=dq7TOrkTCP0C&pg=PP3#v=onepage&q&f=false] *Basil Hall Chamberlain. The Classical Poetry of the Japanese. 1880. [https://books.google.co.uk/books?id=-HUuAAAAYAAJ&pg=PR3#v=onepage&q&f=false] *Douglas Kenning. The Romanticism of 17th Century Japanese Poetry. 1998. [https://books.google.co.uk/books?id=1fcZAQAAIAAJ] *Robert H Brower and Earl Miner. Japanese Court Poetry. The Cresset Press. Great Britain. 1962. [https://books.google.co.uk/books?id=Fztgn3lHX8UC] Modern poetry *A R Davis (ed). Modern Japanese Poetry. University of Queensland Press. 1978. The Open University Press. Milton Keynes. 1979. [https://books.google.co.uk/books?id=v0aBAAAAIAAJ] *Edith Marcombe Shiffert and Yuki Sawa. Anthology of Modern Japanese Poetry. 1972. [https://books.google.co.uk/books?id=OTDRAgAAQBAJ&pg=PP1#v=onepage&q&f=false] *Ichiro Kono and Rikutaro Fukuda. An Anthology of Modern Japanese Poetry. Kenkyusha. Tokyo. 1957. [https://books.google.co.uk/books?id=ZDpkAAAAMAAJ] Books *[https://www.tokyoweekender.com/art_and_culture/books-and-literature/translated-japanese-fiction-fall-2026/ 8 Japanese Books To Curl Up With This Fall]. Tokyo Weekender. 16 September 2026. [[Category:Literature]] 8ty7xen9yxkebdjgx00y63jgrlvlhii 2844409 2844390 2026-11-04T03:26:05Z James500 297601 /* Japanese */ Add 2844409 wikitext text/x-wiki {{Bibliography}} See also [[Universal Bibliography/Bibliography|Bibliography]] This part of the [[Universal Bibliography]] is a bibliography of literature. See [[s:Category:Literature]], [[s:Category:History of literature]], [[w:Bibliography of encyclopedias: literature]] and [[w:Category:Works about literature]] ==World== *Cassell's Encyclopaedia of World Literature. 1953. 2nd Ed: 1973. vol 1 (histories and general articles): [https://books.google.co.uk/books?id=soIYAAAAIAAJ]. vol 3: [https://books.google.co.uk/books?id=AIEYAAAAIAAJ]. Commentary: [https://books.google.co.uk/books?id=Utcb32E7rsMC&pg=PA197#v=onepage&q&f=false]. *Damrosch. What is World Literature? 2003. [https://books.google.co.uk/books?id=yY-17mtp9R8C&pg=PP1#v=onepage&q&f=false] Series: *Edmund Gosse (ed). Literatures of the World. D Appleton and Co [https://en.m.wikisource.org/wiki/Page:A_history_of_Bohemian_literature.pdf/444] ==English== *Bateson. Cambridge Bibliography of English Literature. 1940. Watson, Supplement 1957. *Concise Cambridge Bibliography of English Literature *New Cambridge Bibliography of English Literature *Annual Bibliography of English Language and Literature. Cambridge University *Ewen. Bibliography of Eighteenth Century English Literature. Columbia University. 1935 *Marcuse. A Reference Guide for English Studies. University of Calfornia. 1990 *Bracken. Reference Works in British and American Literature. Libraries Unlimited. 1998 *Kennedy and Sands. A Concise Bibliography for Students of English. Stanford University *Pelican Guide to English Literature *[[w:The Cambridge History of English and American Literature|Cambridge History of English and American Literature]] *[[s:The Cambridge History of English Literature|Cambridge History of English Literature]] *Concise Cambridge History of English Literature *New Cambridge History of English Literature *Oxford History of English Literature *Oxford Illustrated History of English Literature *Short Oxford History of English Literature *Routledge History of Literature in English *Cambridge History of Early Medieval English Literature *Cambridge History of Medieval English Literature *Cambridge History of Early Modern English Literature *Cambridge History of Victorian Literature *Cambridge History of Twentieth Century English Literature *[[s:The Cambridge History of American Literature|Cambridge History of American Literature]] Periodicals *Liverpool Magazine (1890) *Literary Garner (1835) ===United States=== See [[w:Category:American literature by state]] *Dershem. An Outline of American State Literature. 1921 Arizona: *Joseph Amasa Munk, History of Arizona Literature, 1925 *Mary G Boyer, Arizona in Literature, 1935 *Etulain, "Contours of Culture in Arizona and the Modern West" in Luey and Stowe, Arizona at  Seventy-five, 1987 *Diaz, "A Bibliography of Bibliographies Relating to the History and Literature of Arizona and New Mexico" (1958) 14 Arizona Quarterly 197 Colorado: *Eugene Parsons, "Colorado Literature" in Stone, History of Colorado, 1918, volume 1, chapter 42, p 877 [https://books.google.co.uk/books?id=-uVYAAAAMAAJ] *Levette J Davidson, "The Literature of Colorado" in Hafen. Colorado and Its People: A Narrative and Topical History of the Centennial State. Volume 2. Chapter 8. Page 225 [https://books.google.co.uk/books?id=sncXAAAAIAAJ] *Fritz. "Literature". Colorado, the Centennial State. 1941. p 417 [https://books.google.co.uk/books?id=EU0UAAAAYAAJ] *"Books and Writers". Colorado, a Guide to the Highest State. 1941. p 96 [https://books.google.co.uk/books?id=3o8GAQAAIAAJ] *Eugene Parsons, "The Study of Colorado Literature" (1918) Colorado School Journal, vols 34-35, p 24 [https://books.google.co.uk/books?id=QxNRAQAAMAAJ] *"A Plea for the Study of Colorado Literature" (1918) The Trail: A Magazine "for Colorado", vol 11, p 12 [https://books.google.co.uk/books?id=K7QTAAAAYAAJ] Oregon: *Powers, Alfred. History of Oregon Literature. Metropolitan Press. 1935 [https://books.google.co.uk/books?id=JzELAAAAMAAJ] *Horner, John B. Oregon Literature. 1899 [https://books.google.co.uk/books?id=3ecWSpoFMcQC&pg=PA1#v=onepage&q&f=false] ==French== See [[s:Category:French literature]] Bibliographies and bibliographical works: *A Critical Bibliography of French Literature. Syracuse University Press. [https://books.google.co.uk/books?id=IFJQl7eUrg4C&pg=PR3#v=onepage&q&f=false vol 5] *Bassan, Breed and Spinelli. An Annotated Bibliography of French Language and Literature. 2nd Ed: 1976 [https://books.google.co.uk/books?id=BdkaAAAAMAAJ] *French XX Bibliography: A Bibliography for the Study of French Literature and Culture since 1885. [https://books.google.co.uk/books?id=VxVxFxyDOmkC&pg=PA19125#v=onepage&q&f=false] *Foulet. A Bibliography of Medieval French Literature for College Libraries. 1915 [https://books.google.co.uk/books?id=httNAQAAIAAJ] *Kirsop. The Bibliography of French Literary History: Progress, Problems, Projects. 1964. [https://books.google.co.uk/books?id=Xt7nAAAAMAAJ] *Jaffe. Bibliography of French Literature in American Magazines in the 18th Century. Michigan State College Press. 1951. [https://books.google.co.uk/books?id=Cy7GGsr1NI8C] *Raimbert. French Literature in Mauritius (1800-1979): A Select Bibliography in the City Library of Port Louis. 1980 [https://books.google.co.uk/books?id=eQYpAQAAIAAJ] *French Literature in Early American Translation: A Bibliographical Survey of Books and Pamphlets Printed in the United States from 1668 Through 1820. 1977. [https://books.google.co.uk/books?id=CYI0AQAAIAAJ] History: *Cambridge History of French Literature *Coward. A History of French Literature: From Chanson de geste to Cinema. 2002. Paperback 2004. [https://books.google.co.uk/books?id=K8uS9vLpwuYC&lpg=PP1&pg=PR3#v=onepage&q&f=false] *Hollier. A New History of French Literature. 1989. 1994. [https://books.google.co.uk/books?id=nGQOodBVG9YC&pg=PP1#v=onepage&q&f=false] *Cazamian. A History of French Literature. Clarendon Press.1955. Reprinted 1967. [https://books.google.co.uk/books?id=W5PwAAAAMAAJ] *Nitze and Dargan. A History of French Literature: From the Earliest Times to the Present. 1930. [https://books.google.co.uk/books?id=QT0nAAAAMAAJ] *Butler. A History of French Literature. 1923. Reissued 1966. [https://books.google.co.uk/books?id=sPAoAAAAYAAJ] *Dowden. A History of French Literature. (Literatures of the World). 1900 [https://books.google.co.uk/books?id=XWdcAAAAMAAJ] *Wright. A History of French Literature. (Oxford French series). [https://books.google.co.uk/books?id=_O0oAAAAYAAJ] *Schwarz. An Outline History of French Literature. 1924. 1932. [https://books.google.co.uk/books?id=9_fnAAAAMAAJ] *Demogeot. History of French Literature. Adapted from the French by Bridge. 1874. [https://books.google.co.uk/books?id=LgxONYxlEogC&pg=PP9#v=onepage&q&f=false] *Brunetière. Manual of the History of French Literature. 1898. [https://books.google.co.uk/books?id=WOHnAAAAMAAJ] *Brereton. A Short History of French Literature. 1954. 2nd Ed:1976. [https://books.google.co.uk/books?id=DegoAAAAYAAJ] *Bisson. A Short History of French Literature: From the Middle Ages to the Present Day. 1943. [https://books.google.co.uk/books?id=TLQywgEACAAJ] *Hudson and Jack. A Short History of French Literature. 1919 [https://books.google.co.uk/books?id=8xIPAAAAQAAJ] *Saintsbury. A Short History of French Literature. 1882. 2nd Ed: 1884. 7th Ed: 1917 [https://books.google.co.uk/books?id=WDoTAAAAMAAJ] [https://books.google.co.uk/books?id=AWFcAAAAMAAJ] *Finch. French Literature: A Cultural History. 2010. [https://books.google.co.uk/books?id=8L0Z8uYUWj0C&pg=PP1#v=onepage&q&f=false] *Prendergast. History of Modern French Literature: From the Sixteenth Century to the Twentieth Century. 2017. [https://books.google.co.uk/books?id=2QtpDQAAQBAJ&pg=PP1#v=onepage&q&f=false] *Laun. History of French Literature: From the Classical Renaissance until the End of the Reign of Louis XIV. 1883. [https://books.google.co.uk/books?id=bdZEAQAAIAAJ] *Farrant. Introduction to Nineteenth-Century French Literature. 2007. [https://books.google.co.uk/books?id=m4HjBAAAQBAJ&pg=PP1#v=onepage&q&f=false] *Vinet. History of French Literature in the Eighteenth Century. Translated by Bryce. 1854. [https://books.google.co.uk/books?id=5M803wEuBswC&pg=PR1#v=onepage&q&f=false] *Jacqueline Cerquiglini-Toulet. A New History of Medieval French Literature. Translated by Sara Preisig. 2011. [https://books.google.co.uk/books?id=h42MQw6TfAcC&pg=PT3#v=onepage&q&f=false] *Konta. The History of French Literature: From the Oath of Strasburg to Chanticler. 1914. [https://books.google.co.uk/books?id=g2FcAAAAMAAJ] *Cambridge Companion to Medieval French Literature *Holmes. A History of Old French Literature: From the origins to 1300. 1938. Revised Ed: 1962. [https://books.google.co.uk/books?id=0UxcAAAAMAAJ] *Sainstbury. A History of the French Novel (to the Close of the 19th Century). 1919. [https://books.google.co.uk/books?id=GAxJAQAAIAAJ] ==Japanese== *Ryōzō Matsumoto. Japanese Literature New and Old. Hokuseido Press. 1966. [https://books.google.co.uk/books?id=EzftWTtGXzgC] *J Ingram Bryan. The Literature of Japan. 1929. Kennikat Press. Port Washington. Reissued 1970. [https://books.google.co.uk/books?id=BwazAAAAIAAJ] *Clay MacCauley. Japanese Literature. 1898. [https://books.google.co.uk/books?id=9nYuAAAAYAAJ&pg=PP7#v=onepage&q&f=false] *Epiphanius Wilson. Japanese Literature: Including Selections from Genji Monogatari and Classical Poetry and Drama of Japan. 1900. [https://books.google.co.uk/books?id=Iy4NAAAAYAAJ&pg=PP7#v=onepage&q&f=false] *Katsuhiko Takeda. Essays on Japanese Literature. Waseda University Press. 1977. [https://books.google.co.uk/books?id=VKkPAAAAYAAJ] *Suzuki Sadami. The Concept of "Literature" in Japan. International Research Center for Japanese Studies. Kyoto. 2006. [https://books.google.co.uk/books?id=DMQ_AQAAIAAJ] Bibliography *Modern Japanese Literature in Western Translations: A Bibliography. International House of Japan Library. [https://books.google.co.uk/books?id=WZ7QAAAAMAAJ] Bibliographies of Japanese books and manuscripts *Catalogue of Japanese Printed Books and Manuscripts in the Library of the British Museum. [https://books.google.co.uk/books?id=pN4MAAAAYAAJ&pg=PP9#v=onepage&q&f=false vol 1]. *Catalogue of the Nordenskiöld Collection of Japanese Books in the Royal Library [https://books.google.co.uk/books?id=MfoaAAAAMAAJ] *Classified Catalogue of Modern Japanese Books in Cambridge University Library [https://books.google.co.uk/books?id=O_95Vd4VnRAC] *A Descriptive Catalogue of the Pre-1868 Japanese Books, Manuscripts, and Prints in the Library of the School of Oriental and African Studies. [https://books.google.co.uk/books?id=k2O7AAAAIAAJ] *The Rev. William Elliot Griffis Collection of Old Japanese Books at Cornell. [https://books.google.co.uk/books?id=AkxT12LzCZAC] *The Griffis Collection of Japanese Books: An Annotated Bibliography. [https://books.google.co.uk/books?id=WLcWAQAAIAAJ] *The Donald and Mary Hyde Collection of Japanese Books and Manuscripts [https://books.google.co.uk/books?id=GIkXAQAAMAAJ] *Bibliotheca Japonica: Verzeichniss einer Sammlung Japanischer Bucher in 1408 Banden im Besitze des k.k. Hof-und Universitatsbuchhandlers Wilhelm Ritter von Braumuller. Druck von Adolf Holzhausen in Wien. 1875. [https://books.google.co.uk/books?id=QKptwAr3bpMC&pg=PA1#v=onepage&q&f=false] Periodicals *Japanese Literature Today [https://books.google.co.uk/books?id=NyYHAQAAIAAJ] *[[w:Proceedings of the Association for Japanese Literary Studies|Proceedings of the Association for Japanese Literary Studies]] Kokubungaku and nihonbungaku *Tomoko Aoyama. "From national literature to multicultural literature in Japanese language". Kaori Okano and Yoshio Sugimoto (eds). Rethinking Japanese Studies: Eurocentrism and the Asia-Pacific Region. Routledge Contemporary Japan Series. Chapter 4. pp [https://books.google.co.uk/books?id=sEcrDwAAQBAJ&pg=PA53#v=onepage&q&f=false 53] to 72. Reviewed *Donald Richie. Japanese Literature Reviewed. 2003. [https://books.google.co.uk/books?id=ejJmAAAAMAAJ] History *Shuichi Kato. A History of Japanese Literature: From the Man'yōshū to Modern Times. New Abridged Edition. Japan Library. 1997. [https://books.google.co.uk/books?id=wUxOuD0NS5kC&pg=PP1#v=onepage&q&f=false] *Edward Putzar. Japanese Literature: A Historical Outline. University of Arizona Press. [https://books.google.co.uk/books?id=2kiBAAAAIAAJ] *W G Aston. A History of Japanese Literature. (Literatures of the World). 1903. [https://books.google.co.uk/books?id=T4EMAAAAYAAJ&pg=PR3#v=onepage&q&f=false] *Naomi Fukuda (ed). Literature. (Japanese History: A Guide to Survey Histories, Part 2). Center for Japanese Studies, University of Michigan. 1984. [https://books.google.co.uk/books?id=QsoUAQAAIAAJ] Today *A Survey of Japanese Literature Today. Japan P.E.N. Club. 1984. [https://books.google.co.uk/books?id=OcFDAQAAIAAJ] Contemporary *Kokusai Bunka Shinkokai (Japan Cultural Society). Introduction to Contemporary Japanese Literature: Synopese of Major Works: 1956-1970. University of Tokyo Press. 1972. [https://books.google.co.uk/books?id=XPQkHx6wR4IC] Modern *A Classified Catalogue of Modern Japanese Literature (Meiji, Taisho, Showa). University of Washington Library. 1964. [https://books.google.co.uk/books?id=lD8XAQAAMAAJ] *Routledge Handbook of Modern Japanese Literature. 2016. [https://books.google.co.uk/books?id=EMpJDAAAQBAJ&pg=PP1#v=onepage&q&f=false] *J Thomas Rimer and Van C Gessel (eds). The Columbia Anthology of Modern Japanese Literature. 2007. vol 2. [https://books.google.co.uk/books?id=BAg9tUJR1aEC&pg=PP1#v=onepage&q&f=false] **Abridged. 2011. [https://books.google.co.uk/books?id=VrEYtVFv67oC&pg=PP1#v=onepage&q&f=false vol 1]. *Karatani Kōjin. Origins of Modern Japanese Literature. 1993. [https://books.google.co.uk/books?id=hPJO2vEQgjYC&pg=PP1#v=onepage&q&f=false] *Kan Kikuchi. History and Trends of Modern Japanese Literature. Tokyo. 1936. [https://books.google.co.uk/books?id=TU4DAAAAMAAJ] *Edward Mack. Manufacturing Modern Japanese Literature: Publishing, Prizes, and the Ascription of Literary Value. [https://books.google.co.uk/books?id=WnDI6s9surUC&pg=PP1#v=onepage&q&f=false] *Donald Keene (ed). Modern Japanese Literature: From 1868 to the Present Day. Grove Press. 1956. [https://books.google.co.uk/books?id=5yxkAAAAMAAJ] *Saeki Shōichi. Hidden Dimensions in Modern Japanese Literature. The Japan Foundation, Office for the Japanese Studies Center. [https://books.google.co.uk/books?id=OCYHAQAAIAAJ] 20th century and Showa era *[https://www.nippon.com/en/series/c152/ Japanese Literature in the Twentieth Century: A Shōwa Retrospective]. Nippon.com **[https://www.nippon.com/en/japan-topics/c15201/ Writing in the Shadow of Oppression: Japanese Books from 1926 to 1944] **[https://www.nippon.com/en/japan-topics/c15202/ Shaped by Conflict: Japanese Literature After World War II] **[https://www.nippon.com/en/japan-topics/c15203/ Seeking New Values in an Age of Growth: Japanese Books from 1955 to 1964] **[https://www.nippon.com/en/japan-topics/c15204/ Historical Fiction and Social Issues: Japanese Books from 1965 to 1974] **[https://www.nippon.com/en/japan-topics/c15205/ The Rise of Popular Fiction: Japanese Books in the 1970s and 1980s] Meiji and Taisho *Kimura Ki (editor and compiler). Japanese Literature: Manners and Customs in the Meiji-Taishó Era. Ōbunsha. [https://books.google.co.uk/books?id=rBQrAAAAIAAJ] Early modern *Haruo Shirane (ed). Early Modern Japanese Literature: An Anthology, 1600-1900. Abridged Edition. 2008. [https://books.google.co.uk/books?id=SN72QCVBpVAC&pg=PP1#v=onepage&q&f=false] Classical *The Princeton Companion to Classical Japanese Literature [https://books.google.co.uk/books?id=BSmMbQhafJoC&pg=PP1#v=onepage&q&f=false] *Introduction to Classic Japanese Literature. Kokusai Bunka Shinkokai. 1948. [https://books.google.co.uk/books?id=WJAPAAAAYAAJ] Traditional *Haruo Shirane (ed). Traditional Japanese Literature: An Anthology, Beginnings to 1600. 2007. [https://books.google.co.uk/books?id=LsHfIsIXgEgC&pg=PP1#v=onepage&q&f=false] Literary criticism; Literary studies *Seth Jacobowitz and Jonathan E Abel (eds). Modern Japanese Literary Studies. 2026. [https://books.google.co.uk/books?id=s-_AEQAAQBAJ&pg=PP1#v=onepage&q&f=false] *Studies in Modern Japanese Literature: Essays and Translations in Honor of Edwin McClellan. 1997. [https://books.google.co.uk/books?id=_5EPAAAAYAAJ] Anthology *Donald Keene. Anthology of Japanese Literature from the earliest era to the mid-nineteenth century. Grove Press. 1955. [https://books.google.co.uk/books?id=9h8tAAAAMAAJ] Great Britain. 1956. [https://books.google.co.uk/books?id=LCxkAAAAMAAJ]. Evergreen Ed: 1960. [https://books.google.co.uk/books?id=rumBAAAAIAAJ] Novels Modern novels *Nancy Junko Beauchamp. Modern Japanese Novels in English: A Selected Bibliography. Service Center for Teachers of Asian Studies, Association for Asian Studies, Ohio State University. May 1974. [https://books.google.co.uk/books?id=WltEAAAAIAAJ] *Kinya Tsuruta and Thomas E Swann (eds). Approaches to the Modern Japanese Novel. Sophia University. Tokyo. 1976. [https://books.google.co.uk/books?id=bhdkAAAAMAAJ] Short stories *Theodore W Goossen. The Oxford Book of Japanese Short Stories. 1997. Reissued 2002. [https://books.google.co.uk/books?id=VWfJkFfyBn0C&pg=PP1#v=onepage&q&f=false] Modern short stories *Thomas E Swann and Kinya Tsuruta (eds). Approaches to the Modern Japanese Short Story. Waseda University Press. 1982. [https://books.google.co.uk/books?id=IJYPAAAAYAAJ] Poetry *"Japan, Poetry of". The Princeton Encyclopedia of Poetry and Poetics. 4th Ed. [https://books.google.co.uk/books?id=uKiC6IeFR2UC&&pg=PA754#v=onepage&q&f=false p 754]. See also articles "Japan, Modern Poetry of" and "Japanese Poetics". *J Thomas Rimer and Robert E Morrell. Guide to Japanese Poetry. 1975: [https://books.google.co.uk/books?id=EysyAAAAMAAJ]. 2nd Ed: 1984: [https://books.google.co.uk/books?id=BPEaAAAAMAAJ]. *Yone Noguchi. The Spirit of Japanese Poetry. [https://books.google.co.uk/books?id=5K8PAAAAYAAJ] *Miyamori Asatarō. Masterpieces of Japanese Poetry Ancient and Modern. [https://books.google.co.uk/books?id=hnAmAQAAIAAJ] *Dean Anthony Brink. Japanese Poetry and its Publics: From Colonial Taiwan to Fukushima. [https://books.google.co.uk/books?id=IUk4DwAAQBAJ&pg=PP1#v=onepage&q&f=false] *Curtis Hidden Page. Japanese Poetry: An Historical Essay with Two Hundred and Thirty Translations. 1923. [https://books.google.co.uk/books?id=rqEPAAAAYAAJ] *Thomas Fitzsimmons. Japanese Poetry Now. Schocken Books. 1972. [https://books.google.co.uk/books?id=TQ4QAAAAYAAJ] *Leith Morton. An Anthology of Contemporary Japanese Poetry. Garland Publishing. 1993. [https://books.google.co.uk/books?id=0OwPAAAAYAAJ] *Leith Morton. Avant-Garde Japanese Poetry and Poetics: Contemporary Poetry Handbook, 2000–2021. 2026. [https://books.google.co.uk/books?id=7obXEQAAQBAJ&pg=PP1#v=onepage&q&f=false] *Leith Morton. Modernism in Practice: An Introduction to Postwar Japanese Poetry. 2004. [https://books.google.co.uk/books?id=3N5G6WvGLi0C&pg=PP1#v=onepage&q&f=false] *Harry and Lynn Guest and Kajima Shozo. Post-war Japanese Poetry. 1972. Penguin Books. [https://books.google.co.uk/books?id=5QoQAAAAYAAJ] *Alexander Dolin. The Silver Age of Japanese Poetry: Romanticism and Symbolism. Akita International University Press. 2010. [https://books.google.co.uk/books?id=0IdT0XOoLeoC] *Steven D Carter. Traditional Japanese Poetry: An Anthology. Stanford University Press. [https://books.google.co.uk/books?id=dq7TOrkTCP0C&pg=PP3#v=onepage&q&f=false] *Basil Hall Chamberlain. The Classical Poetry of the Japanese. 1880. [https://books.google.co.uk/books?id=-HUuAAAAYAAJ&pg=PR3#v=onepage&q&f=false] *Douglas Kenning. The Romanticism of 17th Century Japanese Poetry. 1998. [https://books.google.co.uk/books?id=1fcZAQAAIAAJ] *Robert H Brower and Earl Miner. Japanese Court Poetry. The Cresset Press. Great Britain. 1962. [https://books.google.co.uk/books?id=Fztgn3lHX8UC] Modern poetry *A R Davis (ed). Modern Japanese Poetry. University of Queensland Press. 1978. The Open University Press. Milton Keynes. 1979. [https://books.google.co.uk/books?id=v0aBAAAAIAAJ] *Edith Marcombe Shiffert and Yuki Sawa. Anthology of Modern Japanese Poetry. 1972. [https://books.google.co.uk/books?id=OTDRAgAAQBAJ&pg=PP1#v=onepage&q&f=false] *Ichiro Kono and Rikutaro Fukuda. An Anthology of Modern Japanese Poetry. Kenkyusha. Tokyo. 1957. [https://books.google.co.uk/books?id=ZDpkAAAAMAAJ] Books *[https://www.tokyoweekender.com/art_and_culture/books-and-literature/translated-japanese-fiction-fall-2026/ 8 Japanese Books To Curl Up With This Fall]. Tokyo Weekender. 16 September 2026. [[Category:Literature]] doe1fprtmqjmaotx1qervc4kibxfbdi 0 269235 2844404 2844158 2026-11-04T03:18:06Z Jtneill 10242 /* Motivation */ 2844404 wikitext text/x-wiki {{title|Nuggets of truth}} This page synthesises the main insights about motivation and emotion report to [[Motivation and emotion|motivation and emotion]] students, as well as providing the original, individual insights. The first part summarises the student insights into themes. The second part provides the individual insights by year. == Summary == This section synthesises the main insights about motivation and emotion reported by previous students (update based on 2024 feedback). These themes capture the most memorable and meaningful principles for understanding and applying the psychology of motivation and emotion identified by students. === Motivation === * '''Basic psychological needs''' - Supporting autonomy, competence, and relatedness fosters intrinsic motivation, engagement, and well-being * '''Intrinsic motivation''' – Nurturing personal interests unlocks intrinsic motivation which sustains goal pursuit * '''Unconscious motivations''' – Behaviour is often guided by unconscious needs (e.g., for achievement, affiliation, and power) more than logical, conscious intent * '''Growth mindset''' – See ability as developable and embrace challenges and feedback to fuel adaption and growth * '''Goal congruence''' - Pursuing personally meaningful, challenging goals enhances focus and fulfilment === Emotion === * '''Emotion is adaptive''' – Emotions evolved to support survival and social bonding; none are inherently negative * '''Appraisal processes''' – Cognitive interpretation shapes emotional experience; reframing can shift response * '''Emotions are social''' - Emotions create, maintain, and develop social bonds * '''Emotional intelligence''' – Recognising and managing/responding to emotions of self and others * '''Cultivate happiness''' - Happiness emerges from intentional practices aligned with higher personal values/meaning === Applications === * '''Put theory into action''' – Apply motivational and emotional principles to enhance performance and well-being * '''Goal pursuit''' – Specific, challenging, self-congruent goals plus if-then implementation plans faciliate engagement and achievemet * '''Integrated systems''' – Motivation, emotion, and cognition function as interdependent processes * '''Autonomy support''' – Key motivational lever; maximise individual freedom within structural boundaries to optimise motivation and learning; too much or little freedom creates motivational problems === Metacognitive reflections === * '''Contextual nuance''' – Motivation and emotion vary across individuals and contexts; mini-theories offer precision * '''Interdisciplinary scope''' – Core principles of motivation and emotion apply across education, clinical, health, and professional contexts * '''Lifelong learning''' – Integrating knowledge of motivation and emotion insight deepens personal and professional growth ==2025== ===Motivation=== * The use of autonomy in helping or guiding others. I have noticed that when I give my kids more choices it has resulted in better results for all of us * Something that unexpectedly resonated with me was fixed-growth mindsets! Having found I lean towards the former, finding out that it and its associated performance goals tend to be unhealthy and unsustainable. Trying to move toward more of a growth-mindset now! * Part of my book chapter found that a lot of traditionally used motivators can actually be really detrimental to motivation, or at least, optimal motivation, because they diminish autonomy. So having autonomy is really key for the best kind of motivation. * That people need autonomy so much that we will engage in psychological reactance to reassert that autonomy even when it may not be in our best, long-term interests * I’ve also tried to be more intrinsically motivated about tasks, and “find the fun”, so to speak. * Framing all behaviours as some degree of motivation was really interesting and thinking about “why am I doing this behaviour?”. Not just the super energetic ones that are typically framed as being motivated, but also things like “why am I motivated to just stay in bed this morning?”. * The neuroanatomy and neurotransmitters involved in motivation. * Understanding how being neurodivergent can impact motivation. * Exploring psychological needs * Learning about mindsets - cognitive patterns or mental frameworks and how mindsets influence thinking, behaviours and feelings * This unit solidified for me that motivation and the factors/ triggers that cause someone to feel motivated or demotivated are so unique to a person such as in the beginning of the unit we discussed two different reasons for people to go for a run in the morning for person 1 is training for a marathon or running to keep fit while person 2 is going for a run to catch up with friends or as a social outing. * Learning motivation helps us to understand what we want, why we want and how. * Understanding how relatedness, autonomy and competence can be applied in an organisational or work setting to achieve a certain outcome. * Learning about implicit motives. It made me realise that motives aren’t always something we are consciously aware of, and it was quite fascinating noticing that I am predominantly driven by affiliation. * This class reaffirmed a lot of the things I knew about mindsets and how they can shape our mental health * Motivation is both an internal individual process as well as an external influenced process * Freud’s dual instinct theory - Eros (life instinct) and Thanatos (death drive) - positive vs destructive coping mechanisms to unconscious instincts * I really enjoyed this unit as a whole especially thought it was interesting to learn about the nucleus accumbens role in motivation. * For me it was learning about self determination theory and applying it into the way I motivate myself and others. In particular the ideas around relatedness, autonomy and competence. ===Emotion=== * I was surprised that interest was an emotion. I had never thought of interest in this way but now I find I utilise it in daily activities. For example in revision I try and find little topics of interest that encourage more reading/learning * Learning about the vast amount of emotions and understanding the differences between some and how to distinguish between them * Learning about emotional intelligence and it being divided by awareness and management and self vs. social or relational. * It was interesting learning different definitions for both basic and complex emotions as typically I wouldn’t describe them as the provided definition eg. anger, however when applied to the context of motivations of behaviour, it all makes sense and clicks better for me * Understanding how being neurodivergent can impact emotions. * Emotions are not as easy to categorise as I thought * I learnt not to internalise emotions or label them too quickly * All emotions have value and purpose and can be leveraged to help with motivational endeavours. Anxiety can be reappraised as excitement. * Learning from my book chapter helped me bridge emotion and motivation together and look at their relationship differently * It was interesting learning about the distinction between basic, cognitively complex, and self-conscious emotions. * How each emotion has a communicative function, which is recognisable across cultures. * Human emotion is a very tricky thing. Emotion is the most interesting part of Psychology I would like to dig deeper into. * Emotions can be motivators * Schadenfruede - evil joy :) * The power of synthetic happiness is astonishing! ===Other=== * Really liked the time perspective tutorial and this is something I’ve been considering in my day to day life since * I’m interested in learning more about positive psychology. I think it’s so important to not merely look at people from a deficit point of view. Don’t just look at what’s wrong, look at what’s going right! * I have found positive psychology really interesting. I * Learning how to use wikiversity and learning so much from the bookchapters * I would be interested to learn more about the time perspective as it was something I didn’t know much about and have tried applying it to everyday life and shifting my perspectives of things to have an equal balance as to which point in time i live in more than another. * Learning about the emphasis of meaning and purpose in positive psychology was a really nice reminder of finding a way to make things feel meaningful where I can. * I found it really interesting taking the activities and questionnaires from tutorials and applying it to my friends, specifically the time constraints we looked at. Getting them to complete them and predict their scores based on what I know of their personality was really fun and helped to apply it and see it among people I know. * Learning the importance of hobbies in facilitating well-being really stuck with me. * The influence of personality on these aspects was something I wasn’t aware of prior * Understanding how the time perspective can influence positive and negative outcomes in a person's life, as well as how positive psychology provides a more holistic view of psychology, which is often not discussed in much depth. * Self-actualising isn’t just becoming really good at something. It can expand and reflect outwards for the greater good, and help others reach their optimal being. == 2024 == === Motivation === * Intrinsic and extrinsic motivation: I find myself applying this to real-world situations all the time now since learning these concepts * Self determinism - competence, relatedness and autonomy * Due to autonomy, it’s hard to get someone to do something if they perceive it as being forced to * Expectancy and control: we make so many choices daily and sometimes don’t realise we go through the process of efficacy expectations and outcome expectations for quick decisions opposed to harder decisions that take longer to decide on. * The role of self efficacy in motivation and intention implementation === Emotion === * Psychological reactance: an unpleasant motivational arousal that emerges when people experience a threat to or loss of their free behaviours. * We feel emotions but they are also a motivator of behaviour - to change / understand situations and our perspectives of things. * Interest and contempt are core emotions? Also surprise sometimes? === Other === * After a while I have an idea about the unit motivation and emotion: maybe one day psychology will have a unit of motivation and a unit of emotion, making each of them significantly standing out as a seperate unit, like psychopathology or social psychology. Maybe the unit of emotion can cover two main chunks, one is about growth psychology (the positive consequences of emotions) and another about psychopathology (the negative consequences of emotions). == 2023 == ===Motivation=== #People are driven by implicit motives for achievement, affiliation, and/or power which can be viewed as acquired psychological needs [[User:U3168525|U3168525]] ([[User talk:U3168525|discuss]] • [[Special:Contributions/U3168525|contribs]]) #Dopamine motivates us in strange ways, be careful how it motivates you. [[User:Yaruki91|U3220114]] #Most optimal freedom for motivation is supporting autonomy and direction within a boundary/constraint. [[User:U3217955|u3217955]] #In regard to what motivates people to believe in conspiracy theories the 2 take-home messages that I found to be most profound were: ##That psychological needs, such as the desire for autonomy, competence, and relatedness, drive individuals to seek explanations that provide a sense of control and understanding, particularly during times of uncertainty and distress. ##That social identity and group dynamics contributes as a motivating factor, as people tend to adopt conspiracy theories to strengthen their sense of belonging or to defend their in-group, especially when they’ve experienced social exclusion. [[User:U3223114|U3223114]] ([[User talk:U3223114|discuss]] • [[Special:Contributions/U3223114|contribs]]) #Continued idea that everyone is different, so exposure to all the varied mini-theories has helped me to feel better equipped to apply and assist, where the general theories had not so far provided enough distinction for me to apply effectively. [[User:JorjaFive|JorjaFive]] ([[User talk:JorjaFive|discuss]] • [[Special:Contributions/JorjaFive|contribs]]) #Learning that motivation can be increased by fulfilling your psychological needs (automony, competence and relatedness) is useful for starting to new projects/jobs etc. [[User:Josh.Cattle|u3226381]]. # Fascinating to trace the roots of components in self-determination theory. Relatedness for example, traces back to the work of Karen Horney’s work on relatedness, and links across to attachment (part of object relations theory), with further links to neuro & oxytocin. It’s a web of roots – and just one part of SDT!! Richard Ryan and Edward Deci are growing what may become an old-growth forest giant [[User:U891419|U891419]]. #The time perspective concepts-> really thought more about how I view my past and if that’s actually how I want to view it (it isn't) so I have started focusing on ways I can alter this moving forward. It also gave me some insight into how I move through time in the present and I've realised I'm prone to living in the past and future so that grounding technique mentioned about doing something for each of your senses everyday has proven to be really helpful! #I found the difference between extrinsic and intrinsic motivation intriguing. Understanding whether motivation comes from an external force, a desire to do the right thing or to please someone else as opposed to doing out of interest or passion gives us a lot of insight into our own interests. ===Emotion=== #I have learned through this unit that there is no such thing as a bad emotion, they all have their own purpose for our survival. #Pride can be separated into authentic pride; pride in one's success, promotes prosocial behaviour, or hubris pride; overconfidence, arrogance, manipulation of others, promotes antisocial behaviour [[User:U3168525|U3168525]] ([[User talk:U3168525|discuss]] • [[Special:Contributions/U3168525|contribs]]) #Synthetic happiness, the idea that people have the ability to create happiness and contentment even in situations that may not naturally lead to happiness, and the concept that our brain systematically misjudges what will make us happy, is fascinating! [[User:U3223114|U3223114]] ([[User talk:U3223114|discuss]] • [[Special:Contributions/U3223114|contribs]]) #Feeling anger is normal. Remember this when having kids so they understand it is ok to be angry, we just don't let our anger hurt others. [[User:Yaruki91|U3220114]] #It pays for communities to possess the resources and social connectedness they need to be resilient. However, we must also address the issues populations face so that the onus is not only on them to cope. [[User:U3213682|U3213682]] ([[User talk:U3213682|discuss]] • [[Special:Contributions/U3213682|contribs]]) 02:42, 25 October 2023 (UTC) #The adaptive purpose of emotions has been really interesting. Learning this makes me feel as though you can use it to your advantage in terms of emotional literacy gains. [[User:Josh.Cattle|u3226381]] #I found the cognitive appraisal approach to emotional experience quite interesting. I have started noticing how people react very differently to the same event. I suppose the positive element about this process is that we have some ability to change the way we feel by challenging the way we see the situation. #That emotions, even one which are universally perceived as negative are evolutionarily designed to aid in survival. ==Process== # Continued idea that everyone is different, so the exposure to all the varied mini-theories has helped me feel better equipped to apply and assist, where the main theories had not so far provided enough distinction # I really enjoyed the book chapter and wikiveristy. I was a little apprehensive at the start, and it seemed overwhelming, but I found it engaging and it was really cool to see other pages and learn a little bit about a lot of things. == 2022 == ===Motivation=== # Motivations and emotions are closely intertwined. # Motivations and emotions link to other psychological disciplines (e.g., health, organisational etc.), not just clinical psychology. ===Emotion=== # Emotions are a big and complex process which deserves as much respect and understanding as thoughts and other mental processes - don't sweep emotions under the proverbial rug; listen to yourself. # <nowiki>Understanding the significance of microexpressions in detecting leakage is essential for emotional intelligence and deception detection. Following the lecture, I began watching the "Lie to Me" series to better understand how the display of personal emotions indicates an individual's intentions in a social situation. </nowiki> [[User:U3211603|U3211603]] ([[User talk:U3211603|discuss]] • [[Special:Contributions/U3211603|contribs]]) 04:11, 15 November 2022 (UTC) # When we don't get what we want, we produce synthetic happiness; this is similar to learned helplessness. It was fascinating to learn about how immersive feelings can make an individual believe that everything is fine on the inside through the use of synthetic happiness. [[User:U3211603|U3211603]] ([[User talk:U3211603|discuss]] • [[Special:Contributions/U3211603|contribs]]) 04:11, 15 November 2022 (UTC) ===Process=== # Treat the chapter and presentation as one assessment piece. By that, complete both, before the former's due date. In honing the latter, I realised the former's focus wasn't sharpened and articulated well enough. # Start early, and continue researching throughout writing your chapter. Don't just stick to the first couple of articles you found in your first search. # Its okay to completely change your chapter. It may feel big and scary at the time but sometimes its necessary. # Monitor your word limit as you progress through writing the book chapter. I found it so easy to just keep writing as I found new and interesting information however, I ended up having to remove a lot of content as a result of being 2000 words of the limit. # I loved the Grades page for Motivation and Emotion unit as it clearly gave me an idea of the progress on the overall grades. It gave me the motivation to work harder and keep my grades good. It would be super nice if this becomes a standard across other unit pages as well. There won't be any need to do any grade calculation. [[User:U3211603|U3211603]] ([[User talk:U3211603|discuss]] • [[Special:Contributions/U3211603|contribs]]) 04:08, 15 November 2022 (UTC) # Discussion in the tutorials has assisted me in applying motivation and emotion theories to real-world problems. Thank you [[User:Jtneill|Jtneill]] for those engaging conversations and for assisting in broadening the horizon. [[User:U3211603|U3211603]] ([[User talk:U3211603|discuss]] • [[Special:Contributions/U3211603|contribs]]) 04:18, 15 November 2022 (UTC) == 2021 == ===Motivation=== # A lot of motivators in society are extrinsic (e.g., legal systems, schooling etc.) # Using extrinsic motivators to try and foster development can be counterproductive. # Intrinsic motivation is REALLY diminished by extrinsic motivation/incentives # Extrinsic vs intrinsic motivation - how they correlate, also trying to use intrinsic motivators for trivial things like trying to go to the gym. # Autonomy, competence, relatedness. Very interesting and ties into so many things. # Connect with others. # Low and high achievers have differences in taking responsibility for successes and failures - an aspect I wasn't aware of. # Growth mindset vs. fixed mindset - become aware of own fixed mindset and been moving towards a more growth-oriented mindset # Gained insight into how people are primarily driven by what matters to them most - maintaining a consistent self-image (e.g., meaning of having to put in effort academically - in a growth mindset it does not mean low intelligence, but learning). # Learned helplessness # Motivation is 'individualistic' in the sense that a lot of it is self-directed and self-motivated. Even if there are social/cultural influences, a lot of how we understand motivation is based on individual perceptions in relation to those social/cultural factors. # Positive psychology # Unconscious motivation #So many interesting facts about motivation (Intrinsic vs extrinsic) to acknowledge, understand and adopting in real world. It is very fascinating. #There are many elements and factors involved in this area, and all are important and relevant for survival and growth #We like to think that we are rational even when we are not. ===Emotion=== # Emotions are a broad topic and there are lots of different types of emotions. # The basic emotions and the specific roles they have; no emotion is unuseful. # Eudaimonic well-being such as life pursuits and quality relationships. # People who experience emotions can be nonverbal and verbal. # Terror management theory: Death and conscious awareness. #Emotions are a great way of expressing feeling from inside your body to outside world. #Humans are not the only ones who experience emotions, it is also present in animals as well! It is such a complex area of study but yet very fascinating. #Optimism by definition describes a certain degree of irrationality in the way we see and think. However, perhaps the only way in which to create a fundamentally better reality is through this irrationality and the corresponding belief that we are good (and getting better)! ===Process=== # Experiment with other platforms to see how it's useful. # Find the leaders in the research - to see what they're saying on the topic - reach out for feedback # Re: book chapter - it's great to start from a point of curiousity in selecting a topic as it will likely be most rewarding. #Learning such an amazing artwork such as wikiversity. very rewarding for present and future as well. #Take home message: Never stop learning and putting your ideas out there because you could be the reason a major breakthrough occurs and makes the world a better place. #Career insight: this unit inspired me to consider a job as a professor/lecturer. I loved how exciting the content was and how this was translated into cool assignments. I also now want to write a whole textbook; but maybe one step at a time… == 2020 == ===Motivation=== # What makes for a good day - to meet needs in Self determination theory # Psychological needs (autonomy/competence/relatedness) and seeing how they look in the workplace # Intrinsic motivation leads to better performance and persistence # Being able to understand what motivates me and relate to content personally # I didn’t realise how often I don’t satisfy my psychological needs in a day (feeling incompetent with uni, not having a choice over what I do because of either work or uni, having to isolate myself to get work done) # You should be trying to incorporate satisfaction of your psychological needs into everyday life, e.g. giving yourself a choice, partaking in something you will be able to feel competent in, and connecting with others. # How motivation influences everything we do, and how we can optimize it # Explanatory styles: much of motivation is not so much about reality, than perceptions. Negative perceptions undermine performance and happiness. # Being controlling when someone is being disruptive is detrimental to their motivation and can actually make them more defiant!! # Expression of motivation # Optimism can be learned, and having a belief in perceived control can help with a growth mindset # Cognitive evaluation theory - explains how all events have two functions (controlling behaviour and informing competence) # The relationship between attitudes and motivation # Maslow’s hierarchy of needs - suggesting that humans can be organised in a hierarchy (physiological and then psychological) # The large part that motivation plays into our cognitions and it’s level of importance. # Formalising intrinsic and extrinsic thought (SDT) # Extrinsic and intrinsic motivators. How to use extrinsic effectively and the importance of intrinsic in motivation. # We have autonomy, competence, relatedness needs # Partnership between goals, needs and well-being. # Learning about mastery vs. performance goals made me reassess my approach to uni -- previously used to approach it as “I can get better grades than my siblings to show everyone I’m the better child”, but have now approached it in a way that is more focused on what I’m actually trying to achieve. # That Ted talk about the people with amnesia who still preferred their painting was wild # Power needs, affiliation/relatedness needs, achievement needs # Choice is vital to motivation; students who are allowed agency to choose assignment topics tend to feel more motivated. # Working towards having mastery goals (rather than performance goals) and a growth mindset (rather than a fixed one) is an incredibly worthwhile pursuit - both for one’s well-being and success. # It’s important that your goals are both challenging and within your abilities. # A lot of motivation is unconscious. # Performance can be enhanced by being selective about goals rather than having too many goals. # Goals aligned with personal values are congruent and easier to pursue than incongruent goals which are not aligned with personal values. # Learning how to activate flow states and experience them more often will benefit both your mental health and the quality of your work. ===Emotion=== # "Happiness is not something ready made. It comes from your own actions." Dalai Lama XIV. Linking with Reeve chapter 17: motivation and emotion are flexible to apply, but require long-term application. # Take-home from [[Motivation and emotion/Book/2020/Workplace mental health|my book chapter]]: being congruent. Considering our life as a whole: our working/studying life and home-life being complementary or leading to conflict. Reflecting on Ryff's 1995, 6 facets of well-being: self-acceptance, interpersonal relations, autonomy, environmental mastery, purpose in life and personal growth and how they all link together. The outcomes of being incongruent may lead to psychological distress and how often do we not realise this link? # All emotions are good and have a meaning/reason for why we feel them # Incorporating compassion into your everyday life can impact you in the best possible ways. Feelings of guilt, shame and other negative emotions diminish. # Increasing your emotional vocabulary helps you understand how you’re feeling. # All our emotions have evolved to help us # That we should experience emotions, but work towards managing them effectively. # The four components of emotion and how they work together to influence our emotions. And that we can make changes by intercepting at these points. # Core emotions, self conscious emotions , and the cognitively complex ones # The most significant thing for me when it came to emotion was that for once the psychodynamic perspective actually sounded reasonable. # We underestimate well-being and the effects on/in our life. # All emotions serve a purpose - negative emotions are just as valuable as positive ones. # Part of emotional literacy is learning to become friends with all of our emotions - they have a place in our lives. # One of the strategies for enhancing happiness is to learn how to broaden-and-build on the experience of positive emotions. # A lot of our emotional lives are triggered by encounters with other people. # One of the most challenging emotions to learn is compersion (rather than jealousy) - feeling good about someone else’s pleasure. ===Other=== # Delving into motivation and emotion has given me more to reflect on. Tutorials and lectures were very interesting and useful in general. [[wikipedia:Self-determination_theory|SDT]] - intrinsic and extrinsic motivators, James said this theory was the most applicable and I now see why! # TED talks and similar have been great. They have provided further insights into a very interesting and thought-provoking unit. I have forwarded them on to others (not involved in psychology). Thank you James. ==2019== # Approach behaviour is stronger than avoidance behaviour. # "Between stimulus and response there is a space. In that space is our power to choose that response. In our response lies our growth and our freedom." (Viktor E. Frankl) # Exercise regularly - it has many health benefits including enhancing mood. # Focus on intrinsic motivation more and extrinsic less. # In the face of challenges, keep going. # Intrinsic motivation stronger than extrinsic motivation. # In workplaces and education: encourage autonomy, competence, relatedness. # Motivation can be both conscious and unconscious. We aren't always aware of our motivations. # People who feel they have no control, or little control, over their environment don't fare well! # Positive moods enhance creativity on short tasks, negative emotions enhance creativity on tasks of longer duration. # Thrive on your success. # When you achieve something really acknowledge it! Self-efficacy. ==2018== # By identifying how we respond to unexpected changes we may influence our emotional reactions and better adapt to our environment. #Designing and writing a book chapter on a topic you're interested in was a valuable experience that I enjoyed and I'm proud of. # Emotions vs. mood. # Even when people are in bad/unpleasant situations, being able to change the situation so they can become more happy isn't as simple as it seems. # Goal-setting and goal-striving: gave me some tips for my own life # [https://www.ted.com/talks/kelly_mcgonigal_how_to_make_stress_your_friend? How to make stress your friend language=en] - Really enjoyed this ted talk from earlier on in the semester # I want a carrot for this comment James # Ideologies - how these can motivate people through humanistic psychology and how people are "evil". # Impacts of goal sharing (findings from book chapter). # Intrinsic motivation is a more effective form of studying. Focusing on things you're interested in increases productivity. # Mindfulness has a significant effect in psychological therapy (from book chapter). # Motivation is private and can usually only come from yourself. # Self-awareness about link between job choice (interests) and personality and need satisfaction (book chapter). # The surprising science of happiness (TED talk in Tutorial 6). # The work done in the book chapter - will take its knowledge into my profession. # Time perspective has a significant influence on the human experience. ==2016-2017== # [https://padlet.com/jamestneill/i7485qnwioeu Pearls of wisdom / Nuggets of truth 2016-2017: What we learnt from this unit] (padlet.com) ==2015== # [http://padlet.com/jamestneill/ahf1922g2958 Pearls of wisdom / Nuggets of truth 2015: What we learnt from this unit] (padlet.com) ==2014== # [http://padlet.com/jamestneill/dirbzepdgpsl Pearls of wisdom / Nuggets of truth 2014: What we learnt from this unit] (padlet.com) ==2013== # [http://padlet.com/jamestneill/s7g2hu1zc Pearls of wisdom / Nuggets of truth 2013: What we learnt from this unit] (padlet.com) ==2011== # [[Motivation and emotion/Book/2011/Pearls of wisdom|2011]] [[Category:Motivation and emotion]] nyo9mxceg3evupb1pn14qwu7ty82a40 0 269370 2844388 2843521 2026-11-04T03:02:11Z James500 297601 /* Japan */ Add 2844388 wikitext text/x-wiki {{Bibliography}} See also [[Universal Bibliography/Geography|Geography]]. See [[w:Category:Bibliographies of countries or regions]] and [[w:Category:Works about countries]]. This part of the [[Universal Bibliography]] is a bibliography of countries (including former countries). ==Countries== *Bateman and Egan (eds). The Encyclopedia of World Geography: A Country by Country Guide. 1993. Revised 1997. *Peter Stalker. Handbook of the World. 2000. A Guide to Countries of the World. (Oxford Guide to Countries of the World. 2nd Ed: 2004, 2nd Revised Ed: 2007 [https://books.google.co.uk/books?id=GtztAAAAMAAJ], 3rd Ed: 2010 [https://books.google.co.uk/books?id=gvKvfxkbZ1AC&pg=PP1#v=onepage&q&f=false] *Countries of the World and Their Leaders Yearbook. Gale. [https://books.google.co.uk/books?id=5etKAAAAYAAJ] [https://books.google.co.uk/books?id=p41OAAAAIAAJ] *Hutchinson Guide to Countries of the World [https://books.google.co.uk/books?id=GgpjUe4kN_IC] *The World Guide: Global Reference, Country by Country. 11th Ed: 2007 [https://books.google.co.uk/books?id=EoWoLgAACAAJ] *Spence. The World Today: A Nation-by-Nation Guide. Cassell. 1994. 1999. [https://books.google.com/books?id=Ub8qOQAACAAJ] *Worldmark Encyclopedia of the Nations [https://books.google.co.uk/books?id=I0oYAQAAMAAJ] *Kurian. Encyclopedia of the World's Nations. Facts on File. Reviews: [https://books.google.co.uk/books?id=Y1EnAQAAIAAJ] [https://books.google.co.uk/books?id=lz0RAQAAMAAJ] *Michael O'Mara. Facts about the World's Nations. 1999. [https://books.google.co.uk/books?id=mygYAAAAIAAJ] *Status of the World's Nations. 1965 [https://books.google.co.uk/books?id=sftEyRbAXMUC&pg=PP1#v=onepage&q&f=false]. 1973 [https://books.google.co.uk/books?id=kw2U_Cg2gKYC&pg=PP3#v=onepage&q&f=false]. *[[s:Author:John Alexander Hammerton|Hammerton, John Alexander]] (ed). Countries of the World. Published at the Fleetway House. 6 vols. [https://books.google.co.uk/books?id=e6IaAQAAMAAJ] [https://books.google.co.uk/books?id=K5oaAQAAMAAJ] *[[s:Author:Robert Brown (1842-1895)|Brown, Robert]]. The Countries of the World. [https://books.google.co.uk/books?id=nO0DAAAAQAAJ&pg=PP13#v=onepage&q&f=false] *A Morely Dell. The Countries of the World. (Harrap's New Geographical Series). 1932. (School certificate). Reviews: [https://books.google.co.uk/books?id=oSS9PB_Jf7AC] [https://books.google.co.uk/books?id=BicVAAAAIAAJ] [https://books.google.co.uk/books?id=5qBOAAAAIAAJ] [https://books.google.co.uk/books?id=YbwcAQAAIAAJ] [https://books.google.co.uk/books?id=sc1AAAAAIAAJ] General series: *National Geographic Countries of the World [https://books.google.co.uk/books?id=IT2wfzVIPykC] *Countries of the World. Evans Brothers. (GCSE) [https://books.google.co.uk/books?id=a3sZvWc7E1EC&pg=PA1#v=onepage&q&f=false] *One Europe. Longman. [https://search.worldcat.org/en/title/west-germany-adapted-by-lj-russon-from-the-original-german-by-sylvia-lof-ingrid-mallberg-dietrich-rosenthal/oclc/561591761] *Collier's Nations of the World. The Nations of the World: An Historical Series. [https://books.google.co.uk/books?id=VJY-AAAAYAAJ&pg=PP8#v=onepage&q&f=false] *Collier's History of Nations. The History of Nations. [https://books.google.co.uk/books?id=fmSUfTY5E80C] *The Story of the Nations. T Fisher Unwin. *The World and Its Peoples. (The Illustrated Library of the World and Its Peoples). Greystone Press, New York. *World and Its Peoples. Marshall Cavendish. [https://books.google.co.uk/books?id=oms5xjI7ba0C&pg=PA141#v=onepage&q&f=false] ==England== ===Counties=== See [[s:Portal:Counties]] * Harrison, "County Bibliography" (1886) 3 Library Chronicle [https://books.google.co.uk/books?id=Wz9FAAAAYAAJ&pg=PA49#v=onepage&q&f=false 49] General series *Victoria County History *Oxford County Histories *Pinnock's County Histories *Shire County Guides. Shire Publications. *Cambridge County Geographies *Pike's New Century Series *[[s:Page:County Churches of Cornwall.djvu/6|County Churches]]. G Allen. Avon *Moore. Avon Local History Handbook. Phillimore. 1979. [https://books.google.co.uk/books?id=h0kjAAAAMAAJ] Bibliography, p 102 Bedfordshire *Conisbee, Lewis Ralph. A Bedfordshire Bibliography. Bedfordshire Historical Record Society. Bedford. 1962. Supplements 1967, 1971, 1978. Third supplement by Threadgill. Review: 6 Archives 52 [https://books.google.co.uk/books?id=oOMZAAAAYAAJ]. See also [https://books.google.co.uk/books?id=MjspAAAAYAAJ] [https://books.google.co.uk/books?id=PejgAAAAMAAJ] *Godber. History of Bedfordshire. 1969. 1984. [https://books.google.co.uk/books?id=jdvwPQAACAAJ] *Pinnock. The History and Topography of Bedfordshire [https://books.google.co.uk/books?id=9bJYAAAAcAAJ&pg=PR3#v=onepage&q&f=false] *Parry. Select Illustrations, Historical and Topographical, of Bedfordshire [https://books.google.co.uk/books?id=UTUJAAAAQAAJ&pg=PP7#v=onepage&q&f=false] *Blyth. The History of Bedford and Visitor's Guide. 1873 [https://books.google.co.uk/books?id=IuIGAAAAQAAJ&pg=PP5#v=onepage&q&f=false] *Cambridge County Geographies [https://books.google.co.uk/books?id=kTc8AAAAIAAJ&pg=PP1#v=onepage&q&f=false] Buckinghamshire *Reed. A History of Buckinghamshire. 1993 [https://books.google.co.uk/books?id=BtkWAQAAIAAJ] Cambridgeshire *Carter. History of the County of Cambridge [https://books.google.co.uk/books?id=jXpbAAAAQAAJ&pg=PR3#v=onepage&q&f=false] *Babington. Ancient Cambridgeshire [https://books.google.co.uk/books?id=DPrCAwAAQBAJ&pg=PP1#v=onepage&q&f=false] Devon *Ravenhill and Rowe. Devon Maps and Map-makers [https://books.google.co.uk/books?id=tjf2yAEACAAJ] *Wright. A Plea for a Devonshire Bibliography. 1885 [https://books.google.co.uk/books?id=8ZUDAAAAQAAJ] Derbyshire *Woore. A Catalogue of Local Maps of Derbyshire, C.1528-1800. 2012. [https://books.google.co.uk/books?id=oWmCMwEACAAJ] *O'Neal. A Bibliography of Derbyshire Lead Mining. 1961 Essex *Cunnington. Catalogue of Books, Maps and Manuscripts, relating to or connected with the County of Essex. 1902 [https://books.google.co.uk/books?id=oIcqpibGE4MC] *"The Bibliography of Essex" (1882) 1 Antiquarian Magazine & Bibliographer [https://books.google.co.uk/books?id=dEkEAAAAQAAJ&pg=PA72#v=onepage&q&f=false 72]. See also [https://books.google.co.uk/books?id=dEkEAAAAQAAJ&pg=PA283#v=onepage&q&f=false p 283]. *"The Bibliography of Essex" (1891) 5 The Essex Naturalist 30 [https://books.google.co.uk/books?id=iIo1AQAAMAAJ] *Moon. Essex Literature. 1900. Review: 61 Literary World 438 [https://books.google.co.uk/books?id=2T0ZAAAAYAAJ] See also [https://books.google.co.uk/books?id=1Y4UAQAAIAAJ] [https://books.google.co.uk/books?id=C_pEAAAAMAAJ] *Fenn and Lowery, "An Essex Bibliography", Journal of the South West Essex Technical College, vols 2 & 3 *Victoria County History bibliography. 1959 [https://books.google.co.uk/books?id=F2EJAQAAIAAJ] *O'Leary, John Gerard. A Supplement to the Essex Bibliography. Dagenham. 1962. *A Bibliography of Essex Archaeology & History *Essex and Dagenham: A Catalogue of Books, Pamphlets and Maps. Dagenham. 1961 *Essex Archaeology and History: The Transactions of the Essex Society for Archaeological and History [https://books.google.co.uk/books?id=CtFAAAAAYAAJ] *Essex Naturalist: Being the Journal of the Essex Field Club *Wright. The History and Topography of the County of Essex [https://books.google.co.uk/books?id=SgQVAAAAQAAJ&pg=PP9#v=onepage&q&f=false] *Ogborne, The History of Essex [https://books.google.co.uk/books?id=IeVSAAAAcAAJ&pg=PP5#v=onepage&q&f=false] *Suckling. Memorials of the Antiquities and Architecture, Family History and Heraldry of the County of Essex [https://books.google.co.uk/books?id=bcw_AAAAcAAJ&pg=PP7#v=onepage&q&f=false] *Hunter, The Essex Landscape: A Study of Its Form and History [https://books.google.co.uk/books?id=w9kWAQAAIAAJ] *Cambridge County Geography [https://books.google.co.uk/books?id=GPHa_X_0qo0C&pg=PR3#v=onepage&q&f=false] *Sokoll. Essex  Pauper Letters, 1731-1837 [https://books.google.co.uk/books?id=rCLia7XlqtMC&pg=PP1#v=onepage&q&f=false] *Morant. The History and Antiquities of Colchester in the County of Essex [https://books.google.co.uk/books?id=DDgtAAAAYAAJ&pg=PP9#v=onepage&q&f=false] *Wallen. The History and Antiquities of the Round Church at Little Maplestead, Essex [https://books.google.co.uk/books?id=FPYVAAAAYAAJ&pg=PR1#v=onepage&q&f=false] Kent *Smith. Bibliotheca Cantiana. 1837. [https://books.google.co.uk/books?id=1dJDAAAAYAAJ&pg=PP11#v=onepage&q&f=false] Leicestershire *Kirkby, C V (compiler). Catalogue of the books, pamphlets, &c., relating to Leicestershire in the Central Reference Library. Leicester Free Public Libraries. 1893. Reviews: [https://books.google.co.uk/books?id=3boqAQAAIAAJ&pg=PA84#v=onepage&q&f=false] [https://books.google.co.uk/books?id=UcHnAAAAMAAJ&pg=PA728#v=onepage&q&f=false] *Leicestershire and Rutland Bibliography, 1963-65 (1966) [https://books.google.co.uk/books?id=-OhVAAAAYAAJ 40] Leicestershire Archaeological and Historical Society: Transactions (1964/5) 92. Available as pdf from University of Leicester. *Leicestershire and Rutland Bibliography, 1961-63. Available as pdf from University of Leicester. *Leicestershire and Rutland Bibliography, 1960-61. Available as pdf from University of Leicester. *A Bibliography of the Small Towns in Leicestershire and Rutland, 1600–1850. (Dissertation). [https://repository.lboro.ac.uk/articles/educational_resource/A_bibliography_of_the_small_towns_in_Leicestershire_and_Rutland_1600_1850/9414200] *Loughborough's Heritage: A Bibliography of the Holdings of Leicestershire Libraries and Information Service and Record Office. [https://books.google.co.uk/books?id=Bwx2zgEACAAJ] *Keith Ambrose and Frank Williams, "Bibliography of the Geology of Leicestershire and Rutland: Part 2: 1971-2003" (2004) [https://books.google.co.uk/books?id=U-tQAQAAIAAJ 16] The Mercian Geologist 5. Available as pdf from East Midlands Geological Society. *Parsons and Brandwood. A Bibliography of Leicestershire Churches. 1978. *Education in Leicestershire: A Bibliography. [https://books.google.co.uk/books?id=X6EfzQEACAAJ] Sussex *Brent, Fletcher and McCann. Sussex in the 16th and 17th Centuries: A Bibliography. 2nd Ed [https://books.google.co.uk/books?id=I7UtAAAAYAAJ] *Farrant. Sussex in the 18th and 19th Centuries: A Bibliography. 1st Ed: 1973, 2nd Ed: 1977 [https://books.google.co.uk/books?id=MLUtAAAAYAAJ], 3rd Ed: 1979 ==France== Bibliography: *Bibliographie de la France. Commentary: Encyclopedia of Library and Information Science, vol 37, supplement 2, [https://books.google.co.uk/books?id=10rgjNvOV8oC&pg=PA145#v=onepage&q&f=false p 145]; The Bookseller, 6 January 1881, [https://books.google.co.uk/books?id=4dsiAQAAMAAJ&pg=PA10#v=onepage&q&f=false p 10]; Stein, Manuel de bibliographie générale, [https://books.google.co.uk/books?id=lJYPyKjV1qYC&pg=PA23#v=onepage&q&f=false p 23]. *Girault de Saint-Fargeau. Bibliographie historique et topographique de la France. 1845 [https://books.google.co.uk/books?id=kClB9CQNZoMC&pg=PP9#v=onepage&q&f=false] *Catalogue d'une collection d'ouvrages sur l'histoire des provinces de la France. 1842 [https://books.google.co.uk/books?id=qQBX5WZouzAC&pg=PP1#v=onepage&q&f=false] Landscape: *Beaujeu-Garnier. France. (The World's Landscapes). 1975. [https://books.google.com/books?id=nwxDAQAAIAAJ] Agenais: *Andrieu. Bibliographie générale de l’Agenais et des parties du Condomois et du Bazadais. 1886 to 1891. Reprinted 1969. Alsace: *Ristelhuber. Bibliographie alsacienne. 1869 to 1873 [https://books.google.co.uk/books?id=0mhLAQAAMAAJ&pg=PP13#v=onepage&q&f=false] *Bibliographie alsacienne: Revue critique des publications concernant l'Alsace. 1918 to 1936 *Ritter. Répertoire bibliographique des livres imprimés en Alsace aux XVe et XVIe siècles [https://books.google.co.uk/books?id=DewaAQAAMAAJ] Angoumois: *Castaigne. Essai d'une bibliothèque historique de l'Angoumois, ou Catalogue raisonné des principaux ouvrages qui traitent des différentes branches de l'histoire de cette province. 1847 [https://books.google.co.uk/books?id=R-UanmmlvAEC&pg=PP7#v=onepage&q&f=false] Anjou: *Braguier and Braguier. Archéologie en Anjou: bibliographie. 1984 [https://books.google.co.uk/books?id=LvsmAQAAIAAJ] Auvergne: *Gonot. Catalogue des ouvrages imprimés et manuscrits concernant l'Auvergne, extrait du catalogue général de la Bibliotlèque de Clermont-Fd (Puy-de-Dome). 1849. [https://books.google.co.uk/books?id=yCFtbObRCbUC&pg=PP13#v=onepage&q&f=false] *Catalogue des livres et estampes concernant l'ancienne Province d'Auvergne (Puy-de-Dôme, Cantal, Haute-Loire) réunis par feu M. G. Desbouis. 1865. [https://books.google.co.uk/books?id=Ui4S8_D0N74C&pg=PP7#v=onepage&q&f=false] Béarn *"Bibliographie Béarnaise", Revue de Pau et du Béarn [https://books.google.co.uk/books?id=FuZnAAAAMAAJ] Commentary: [https://books.google.co.uk/books?id=FQYqvPo9D9IC&pg=PA158#v=onepage&q&f=false] [https://books.google.co.uk/books?id=RL9VAAAAYAAJ] Brittany *Sacher. Bibliographie de la Bretagne, ou Catalogue général des ouvrages historiques, littéraires et scientifiques parus sur la Bretagne, avec la liste des revues publiées en cette province, les prix approximatifs des volumes rares, etc. 1881 [https://archive.org/details/bibliographiede00sach] Burgundy: *Milsand. Bibliographie bourguignonne; ou, Catalogue méthodique d'ouvrages relatifs à la Bourgogne: Sciences - Arts - Histoire. 1885 [https://archive.org/details/bibliographiebo00milsgoog] [https://archive.org/details/bibliographiebo00sciegoog] [https://books.google.co.uk/books?id=CxIIAAAAQAAJ] *Catalogue des manuscrits de la Bibliothèque royale des ducs de Bourgogne. 1842 [https://books.google.co.uk/books?id=FX5MAAAAcAAJ&pg=PR3#v=onepage&q&f=false] *The Companion Guide to Burgundy [https://books.google.co.uk/books?id=NraRP0AkDT0C&pg=PP3#v=onepage&q&f=false] *Lecat. The Golden Book of Burgundy. (The Golden Book) [https://books.google.co.uk/books?id=FyzR9qU1Zl4C&lpg=PP1&pg=PP1#v=onepage&q&f=false] *Gwynn. Burgundy: With Chapters on the Jura and Savoy. (Kitbag Travel Books). 1935 [https://books.google.co.uk/books?id=ny1LAAAAMAAJ] *Bazin. Wonderful Burgundy. 1988. 1997 [https://books.google.co.uk/books?id=Yt1CRdICWCUC] *Bailey. Burgundy. (Insight Guides). 1993 [https://books.google.co.uk/books?id=Q69a1dMW2NQC] *Dunlop. Burgundy. Hamilton.1990 [https://books.google.co.uk/books?id=S_1OAAAAMAAJ] Champagne: *Lhermitte. Ouvrages sur la Champagne: contribution à la bibliographie champenoise. 1992. [https://books.google.co.uk/books?id=jbPfAAAAMAAJ] Dauphiné: *Mélanges biographiques et bibliographiques relatifs à l'histoire littéraire du Dauphiné par Colomb de Batines et Ollivier Jules. 1837 [https://books.google.co.uk/books?id=2F5MAAAAcAAJ&pg=PR3#v=onepage&q&f=false] Lorraine: *Bibliographie lorraine. Académie nationale de Metz [https://books.google.co.uk/books?id=n-DfAAAAMAAJ] Maine: *Desportes. Bibliographie du Maine, précédée de la description topographique et hydrographique du diocése du Mans, Sarthe et Mayenne. 1844. [https://books.google.co.uk/books?id=hSk-AAAAYAAJ&pg=PR3#v=onepage&q&f=false] Normandy: *Frère. Manuel du bibliographe Normand ou dictionnaire bibliographique et historique. 1858 to 1860. [https://books.google.co.uk/books?id=dp6geJClg1YC&pg=PP13#v=onepage&q&f=false vol 1] ==Japan== Bibliography and literature *Hideo Kaneko. "Japanese Literature and Bibliography". Kent, Lancour and Daily (eds). Encyclopedia of Library and Information Science. Marcel Dekker. 1977. vol 21. pp [https://books.google.co.uk/books?id=H1pNvzr_n98C&pg=PA131#v=onepage&q&f=false 131] to 176. Bibliography *Jozef Rogala. A Collector's Guide to Books on Japan in English: An Annotated List of Over 2500 Titles with Subject Index. 2001. [https://books.google.co.uk/books?id=7KI9ao-w2FEC&pg=PP1#v=onepage&q&f=false] *Ria Koopmans-de Bruijn. Area Bibliography of Japan. (Scarecrow Area Bibliographies). Scarecrow Press. 1998. [https://books.google.co.uk/books?id=Hlx2OMjgUi0C&pg=PR1#v=onepage&q&f=false] *Frank Joseph Shulman. Japan. (World Bibliographical Series, vol 103). Clio Press. 1989. [https://books.google.co.uk/books?id=LsoUAQAAIAAJ] *Eibun Nihon Kankei Tosho Mokuroku, 1945-1981. (Japanese: 英文日本関係図書目録, 1945-1981). (English: Catalogue of Books in English on Japan, 1945-1981). Japan Foundation. Tokyo. 1986. *Japan: analytical bibliography: with supplementary research aids: and selected data on Okinawa . . . Department of the Army. Washington. 1972. [https://books.google.co.uk/books?id=h4d4nYxrxtMC&pg=PP7#v=onepage&q&f=false] *Books on Japan in Western Languages. The International Christian University Library. 1971. [https://books.google.co.uk/books?id=F2bQAAAAMAAJ] *Books on Japan: A List of Acquisitions, 1955-1970. International House of Japan Library. 1971. [https://books.google.co.uk/books?id=F8sWAQAAIAAJ] *Fukuda. Union Catalog of Books on Japan in Western Languages. 1968. [https://books.google.co.uk/books?id=HKYyAQAAIAAJ] *A Classified List of Books in Western Languages Relating to Japan. University of Tokyo Press. 1965. [https://books.google.co.uk/books?id=U8MUAQAAIAAJ] *Katsuji Yabuki (ed). Japan Bibliographic Annual. Published by the Hokuseido Press for the Japan Writers Society. 1956 and 1957. **Japan Bibliographic Annual 1956. [https://books.google.co.uk/books?id=9XLQAAAAMAAJ] **Japan Bibliographic Annual 1957. [https://books.google.co.uk/books?id=vesSAAAAIAAJ]. Reviews: (1957) 13 Monumenta Nipponica 166 (April-July) [https://books.google.co.uk/books?id=8S1yb-iwrOwC] (1957) 25 The Oriental Economist 212 (April) [https://books.google.co.uk/books?id=QELoAAAAMAAJ] *Haring. Books on Japan: A Reference List. 1955. [https://books.google.co.uk/books?id=RbDoAAAAMAAJ] *Borton. A Selected List of Books and Articles on Japan in English, French, and German. 1940: [https://books.google.co.uk/books?id=YYIsAAAAYAAJ]. Revised and enlarged. Harvard University Press. 1954: [https://books.google.co.uk/books?id=F8O2VwJUPUkC]. **A Selected List of Books on Japan in Western Languages (1945-1960). (Studies on Asia Abroad, vol 1). The Information Centre of Asian Studies, The Toyo Bunko. 1964. [https://books.google.co.uk/books?id=i1_QAAAAMAAJ] *Oskar Nachod. Bibliography of the Japanese Empire 1906-1926. 1928. [https://archive.org/details/bibliographyofja0001oska/page/n8/mode/1up vol 1]. [https://archive.org/details/bibliographyofja0002oska/page/n6/mode/1up vol 2]. *Fr. von Wenckstern. A Bibliography of the Japanese Empire: being a Classified List of All Books, Essays and Maps in European Languages relating to Dai Nihon (Great Japan) published in Europe, America and in the East from 1859-93 . . . 1895. vol 1. [https://books.google.co.uk/books?id=dcVAAAAAYAAJ&pg=PR1#v=onepage&q&f=false] [https://books.google.co.uk/books?id=v7lO4ddqDywC&pg=PR3#v=onepage&q&f=false] **Volume 2, from 1894 to the middle of 1906. 1907. [https://archive.org/details/bibliographyofja0002frvo/page/n6/mode/1up] *Hyman Kublin. What Shall I Read on Japan? An Introductory Guide. Japan Society, New York. 1971. [https://books.google.co.uk/books?id=yRRUAAAAYAAJ] *Henri Cordier. Bibliotheca Japonica: Dictionnaire Bibliographique des Ouvrages Relatifs a L'Empire Japonais. 1912. [https://archive.org/details/bibliothecajapon0008henr/page/n8/mode/1up] Japanese studies *An Introductory Bibliography for Japanese Studies. The Japan Foundation. [https://books.google.co.uk/books?id=53O6AAAAIAAJ] *Richard Perren. Japanese Studies from Pre-History to 1990: A Bibliographical Guide. 1992. [https://books.google.co.uk/books?id=CN9RAQAAIAAJ&pg=PP1#v=onepage&q&f=false]. "Bibliographies" at pp 1 to 3. *K.B.S. Bibliography of Standard Reference Books for Japanese Studies, with Descriptive Notes. University of Tokyo Press. [https://books.google.co.uk/books?id=95wbAAAAMAAJ] *[[w:en:Monumenta Nipponica|Monumenta Nipponica]] *[[w:en:Japan Forum|Japan Forum]]. British Association for Japanese Studies. [https://www.tandfonline.com/journals/rjfo20] *Japanese Studies. Japanese Studies Association of Australia. ISSN 1037-1397. [https://www.tandfonline.com/journals/cjst20] *[[w:en:The Journal of Japanese Studies|The Journal of Japanese Studies]]. University of California Press. *Nichibunken Newsletter. [[w:en:International Research Center for Japanese Studies|International Research Center for Japanese Studies]]. [https://books.google.co.uk/books?id=5TnjAAAAMAAJ] [https://www.nichibun.ac.jp/en/publications/data/news/] [https://newsletter.nichibun.ac.jp/en/] History and culture *John W Dower. Japanese History & Culture from Ancient to Modern Times: Seven Basic Bibliographies. 1986. [https://books.google.co.uk/books?id=NX67AAAAIAAJ&pg=PP1#v=onepage&q&f=false]. "Bibliographies & Research Guides" at chapter 6. Research guides *Mindy L Kotler. Information Gathering on Japan: A Primer. Search Associates. 1988. ISBN 9780962546006. Catalogue: [https://search.worldcat.org/zh-cn/title/Information-gathering-on-Japan-Joho-:-a-primer/oclc/20530148]. Review: (1989) [https://books.google.co.uk/books?id=NZLiAAAAMAAJ 27] Choice 82 Encyclopedias See also [[w:ja:Japanese encyclopedias]] *Louis Frédéric. [[w:Japan Encyclopedia|Japan Encyclopedia]]. Translated by Käthe Roth. 2002. [https://books.google.co.uk/books?id=p2QnPijAEmEC&pg=PP1#v=onepage&q&f=false] **Louis Frédéric. Le Japon: Dictionnaire et Civilisation. Robert Lafont. Paris. 1996. ISBN 2-221-06764-9. *Japan: An Illustrated Encyclopedia. Kodansha. 1993. **Japan: Profile of a Nation. Kodansha. 1995. Revised Edition. 1999. *[[w:Kodansha Encyclopedia of Japan|Kodansha Encyclopedia of Japan]]. 1983. Supplement. 1986. [https://books.google.co.uk/books?id=WvApAQAAMAAJ] *Dorothy Perkins. Encyclopedia of Japan: Japanese History and Culture, from Abacus to Zori. Facts on File. A Roundtable Press Book. 1991. [https://books.google.co.uk/books?id=JLKGAAAAIAAJ] *Pictorial Encyclopedia of Modern Japan. Gakken. 1986. [https://books.google.co.uk/books?id=0FgKAQAAIAAJ] *Boye Layfayette De Mente. Japan Encyclopedia. 1995. [https://books.google.co.uk/books?id=f9c7AAAAMAAJ] **Boye De Mente. Everything Japanese. [The Authoritave Reference on Japan Today]. 1989. [https://books.google.co.uk/books?id=Duku89bARgoC] Biographical dictionaries *Wispelway. Japanese Biographical Index [https://books.google.co.uk/books?id=4UkhAAAAQBAJ&pg=PR3#v=onepage&q&f=false] *Seiichi Iwao. Biographical Dictionary of Japanese History. Kodansha International. 1978.[https://books.google.co.uk/books?id=TkQOAQAAMAAJ] *Senʼichi Hisamatsu. Biographical Dictionary of Japanese Literature. Kodansha International. 1976. [https://books.google.com/books?id=X3lkAAAAMAAJ] *Yutaka Tazawa (ed). Biographical Dictionary of Japanese Art. Kodansha International. 1981. [https://books.google.com/books?id=7ozrAAAAMAAJ] *Japan Biographical Encyclopedia & Who's Who. 1958. Review: [https://books.google.co.uk/books?id=lV_VAAAAMAAJ 25] Contemporary Japan 280 **Japan Biographical Encyclopedia & Who's Who (2nd Edition) 1961. The Japan Biographical Research Department, The Rengo Press Ltd. Preface dated October 1960. Commentary: [https://books.google.co.uk/books?id=-SZSAAAAMAAJ] ***1961 Supplement. December 1961. *Shunjiro Kurita. Who's Who in Japan. [https://archive.org/details/WhosWhoInJapan1913/page/n24/mode/1up 2nd Ed]. Catalogue: [https://cir.nii.ac.jp/crid/1971712334741056302]. Review: New York Times, 3 October 1915 [https://www.nytimes.com/1915/10/03/archives/japans-whos-who-printed-in-english-new-volume-shows-rapid-changes.html]. **[[w:ja:石川安次郎|Yasujiro Ishikawa]] (ed). Fifth Annual Edition. The Who's Who in Japan Publishing Department: The Keiseisha. No 15, 2-chome, Owari-cho, Ginza, Kyobashi-ku, Tokyo. Preface dated May 1916. [https://books.google.co.uk/books?id=joBJAAAAYAAJ]. Yasujiro Ishikawa's biography "Ishikawa Yasujiro" is on p 213. Reference books *Nihon No Sanko Tosho. Volume 1: 1965. Volume 2: 1972. **Guide to Japanese Reference Books. American Library Association. Chicago. 1966: [https://books.google.co.uk/books?id=0rflAAAAMAAJ]. Supplement. 1979: [https://books.google.co.uk/books?id=j05_F9OHzkQC]. Commentary: Encyclopedia of Library and Information Science, vol 21, [https://books.google.co.uk/books?id=H1pNvzr_n98C&pg=PA149#v=onepage&q&f=false p 149]. Media *[https://www.bbc.com/news/world-asia-pacific-15217593 Japan media guide]. News. BBC. 20 March 2023. *Masaaki Kasagi. Mass Media in Japan. (Orientation seminars on Japan, number 14). 1983. [https://books.google.co.uk/books?id=odkgAAAAIAAJ] *Routledge Handbook of Japanese Media [https://books.google.co.uk/books?id=zilKDwAAQBAJ&pg=PA1#v=onepage&q&f=false] Publishers *[https://www.publishersweekly.com/pw/by-topic/international/international-book-news/article/99729-get-to-know-these-japanese-publishing-companies.html Get to Know These Japanese Publishing Companies]. Publishers Weekly. 20 February 2026. Press and journalism *[https://reutersinstitute.politics.ox.ac.uk/digital-news-report/2025/japan Japan]. Reuters Institute for the Study of Journalism. 17 June 2025. *Marjane Aalam and Philippe Régnier. The Japanese Press and Information System. The Graduate Institute of International Studies. Geneva. [https://books.google.co.uk/books?id=RTcbAQAAIAAJ] *The Japanese Press: Past and Present. Japan Newspaper Publishers' and Editors' Association. [https://books.google.co.uk/books?id=5tcQAAAAIAAJ 1949]. *Anthony Rausch. Japanese Journalism and the Japanese Newspaper: A Supplemental Reader. [https://books.google.co.uk/books?id=mZrToQEACAAJ] *Frank L Martin. The Journalism of Japan. 1918. [https://books.google.com/books?id=ruYzAQAAMAAJ] *William De Lange. A History of Japanese Journalism. Japan Library. 1998. [https://books.google.co.uk/books?id=Rd5tb0cuz8QC&pg=PP1#v=onepage&q&f=false] *Kanesada Hanazono. The Development of Japanese Journalism. Osaka. 1924. [https://books.google.co.uk/books?id=z99ZAAAAMAAJ] *Kanesada Hanazono. Journalism in Japan and Its Early Pioneers. 1926. [https://books.google.co.uk/books?id=IGTFfLc4bq0C] *César Castellvi. A Sociology of Journalism in Japan: The Last Empire of the Press. 2024. [https://books.google.co.uk/books?id=a2z8EAAAQBAJ&pg=PR4#v=onepage&q&f=false] *"Japan". Christopher H Sterling (ed). Encyclopedia of Journalism. A Sage Reference Publication. 2009. ISBN 9780761929574. vol 3. pp [https://books.google.co.uk/books?id=ZQhDq8fPj2IC&pg=PA809#v=onepage&q&f=false 809] to 815. Press annuals *The Japanese Press. (Nihon Shinbun Kyokai). [https://books.google.co.uk/books?id=AfvyAAAAMAAJ 1979] [https://books.google.co.uk/books?id=Au3yAAAAMAAJ 1998] Summaries of the press *Daily Summary of Japanese Press Foreign correspondents *Foreign Correspondents in Japan: Reporting a Half Century of Upheavals, from 1945 to the Present. Tuttle. 1998. [https://books.google.co.uk/books?id=YI3TAgAAQBAJ&pg=PP1#v=onepage&q&f=false] Periodicals *G Raymond Nunn (comp). Japanese Periodicals and Newspapers in Western Languages: An International Union List. Mansell. 1979. [https://books.google.co.uk/books?id=jEROAQAAIAAJ] *Japan Periodicals. Keizai Koho Center. 3rd Ed [https://books.google.co.uk/books?id=ATm0AAAAIAAJ]. Japan Periodicals, 1982. [https://books.google.co.uk/books?id=PkMyAAAAMAAJ] *Japanese Periodicals Index **Humanities and Social Sciences [https://books.google.co.uk/books?id=nXX_RpPGf3AC] **Natural Sciences [https://books.google.co.uk/books?id=FCJIAAAAYAAJ] *Current Japanese Periodicals [https://books.google.co.uk/books?id=FjO5AAAAIAAJ] *Check-list of Japanese Periodicals Held in British University and Research Libraries. [https://books.google.co.uk/books?id=VZgsAAAAYAAJ] *Union List of Current Japanese Periodicals in the East Asian Libraries of Columbia, Harvard, Princeton, and Yale Universities. [https://books.google.co.uk/books?id=yw7kAAAAMAAJ] *List of Japanese Periodicals in the Library of the School of Oriental & African Studies. [https://books.google.co.uk/books?id=RREjAQAAIAAJ] *Gianni Simone. [https://www.japantimes.co.jp/community/2011/04/26/issues/english-mags-approach-milestone-crossroads/ English mags approach milestone, crossroads]. The Japan Times. 26 April 2011. *Japan Report (1955 onwards) (Consulate General of Japan, Japan Information Center). Vol 39 published in 1993. [https://books.google.co.uk/books?id=MX4BN_frv4IC&pg=PP7#v=onepage&q&f=false] editions:jYuMSMIQC-AC **Japan Information *Japan Now [https://books.google.co.uk/books?id=Nul7DRQaexMC&pg=PP7#v=onepage&q&f=false] *Japan Quarterly. (Asahi Shimbun). 1954 to 2001. [https://books.google.co.uk/books?id=nZMMAQAAMAAJ] [https://books.google.co.uk/books?id=_RwVAAAAMAAJ] 189 issues. *Japan Illustrated: The Japan Times Quarterly [Pictorial] Magazine (October 1963 to Summer 1977) 15 vols [https://books.google.co.uk/books?id=D7UThOmE8T4C] *[[w:Japan Spotlight|Japan Spotlight]]. Economy, Culture & History: Japan Spotlight: Bimonthly. [https://books.google.co.uk/books?id=i7C0AAAAIAAJ] *Focus Japan. (Japan External Trade Organization, JETRO). [https://books.google.co.uk/books?id=2fG2hsEZpRkC] *The Japan Journal [https://books.google.co.uk/books?id=2V3hAAAAMAAJ] [https://books.google.co.uk/books?id=CJwoAQAAMAAJ] *Japan Magazine. Muromachi Publicity Corporation. (vols 1 to 5: 1957 to 1963). [https://books.google.co.uk/books?id=Swd18PnVeUgC] *The Japan Magazine: A Representative Monthly of Things Japanese [https://books.google.co.uk/books?id=ubGKo-p6O_0C] [https://archive.org/details/jm-1914-v4.9-5.2/mode/1up] *Transactions and Proceedings of the Japan Society, London [https://books.google.co.uk/books?id=B75nnph5qHgC&pg=PP5#v=onepage&q&f=false] **Bulletin. [Bulletin of the Japan Society, London.] [https://books.google.co.uk/books?id=Pd9KvyhnpjMC] **The Japan Society of London Bulletin [https://books.google.co.uk/books?id=XxlxAAAAMAAJ] *About Japan. Japan Society, New York. [https://books.google.co.uk/books?id=Nf5OAQAAIAAJ] **News Bulletin [https://archive.org/details/bub_gb_QcA3AQAAIAAJ/page/n2/mode/1up] *[[w:en:Metropolis (free magazine)|Metropolis]] (metropolisjapan.com) *[[w:en:Tokyo Weekender|Tokyo Weekender]] (トーキョー・ウィークエンダー) [https://www.tokyoweekender.com/japan-life/news-and-opinion/nhk-world-features-the-tokyo-weekender-magazine/] *The Japan Gazette [https://books.google.co.uk/books?id=WSopAAAAYAAJ&pg=PA1#v=onepage&q&f=false] *The Tokio Times [https://books.google.co.uk/books?id=UDfiFBu0vB4C&pg=PA1#v=onepage&q&f=false] *[[w:en:Look Japan|Look Japan]]. (Look Japan Ltd). [https://books.google.co.uk/books?id=QnO6AAAAIAAJ]. Commentary: Gale Directory of Publications and Broadcast Media [https://books.google.co.uk/books?id=ve4dAQAAMAAJ] *[[w:en:Japan Echo|Japan Echo]]. 1974 to 2010. [https://books.google.co.uk/books?id=Cmq6AAAAIAAJ] [https://books.google.co.uk/books?id=fpmEPpl-85UC] *PHP Intersect. (Where Japan Meets Asia and the World). PHP Institute. [https://books.google.co.uk/books?id=i74TAQAAMAAJ] **Intersect Japan [https://books.google.co.uk/books?id=sL8TAQAAMAAJ] *Japan Digest [https://books.google.co.uk/books?id=8AcOAQAAMAAJ] *Speaking of Japan [https://books.google.co.uk/books?id=U7S0AAAAIAAJ]. [Speeches.] *The Hansei Zasshi: A Monthly Magazine [https://books.google.co.uk/books?id=6qBhfHZo7Q0C&pg=PP5#v=onepage&q&f=false][https://books.google.co.uk/books?id=dyIsvnYjpwEC&pg=PP6#v=onepage&q&f=false] **The Orient. 1899 onwards [https://books.google.co.uk/books?id=nS1omYYnnd4C&pg=PP5#v=onepage&q&f=false] *Today's Japan. Orient/West Incorporated. [https://books.google.co.uk/books?id=g2ASAAAAMAAJ] *Japan Review: Bulletin of the International Research Center for Japanese Studies. [https://books.google.co.uk/books?id=GggOAQAAMAAJ] *[https://www.bloomberg.com/account/newsletters/next-japan Next Japan]. Bloomberg. *Niponica. [https://books.google.co.uk/books?id=X2scKgfQS5oC] Newspapers See also [[w:List of newspapers in Japan]] *Haruhara Akihiko, "English-language newspapers in Japan" (1994) 41 Japan Quarterly [https://www.proquest.com/openview/8e2b760f2a2fa37ba164ea675c095353/1 474] (Issue 4: October 1994) *James Charles Tanner. English Language Newspapers in Bakumatsu Japan. 1977. [https://books.google.co.uk/books?id=Bn2zgzZy_3oC] *[https://www.japantimes.co.jp/news/2009/03/03/reference/newspapers-here-soldiering-on/ Newspapers here soldiering on]. The Japan Times. 3 March 2009. *[[w:The Japan Times|The Japan Times]] **The Japan Times: Weekly Edition [https://books.google.co.uk/books?id=KoQ-AQAAMAAJ] [https://books.google.co.uk/books?id=yYQ-AQAAMAAJ&pg=PA1#v=onepage&q&f=false] *Japan Daily Mail *Japan Weekly Mail *The Japan Chronicle **Weekly Edition [https://books.google.co.uk/books?id=vXdRAQAAIAAJ&pg=PA1#v=onepage&q&f=false] *The Japan News. (The Japan News by The Yomiuri Shimbun) **Yomiuri Japan News (from 1955) **The Yomiuri (from 1958) **The Daily Yomiuri (from 1970) *The Asahi Shimbun: Asia & Japan Watch. [https://www.asahi.com/sp/ajw/] **Asahi Evening News (from 1954) ***Tokyo Evening News (1952 to 1954) [https://ndlsearch.ndl.go.jp/books/R100000002-I000000145073] *The Mainichi. [https://mainichi.jp/english/] **Mainichi Daily News (1922 to 2001) [https://www.nytimes.com/2001/02/27/business/worldbusiness/IHT-tech-briefstop-the-presses.html] [https://ndlsearch.ndl.go.jp/books/R100000002-I000000144910] Sports newspapers; sports dailies *Louise do Rosario, "News-stand stars" in "Japan" (1992) [https://books.google.co.uk/books?id=T_GzAAAAIAAJ 155] [[w:en:Far Eastern Economic Review|Far Eastern Economic Review]], 24 to 31 December 1992, p 21 *[[w:ja:岡崎満義|Mitsuyoshi Okazaki]], "Unsportsmanlike Journalism: Japan's sports dailies may be popular, but are they sporting?" in "Sport", [[w:en:Look Japan|Look Japan]], [https://books.google.co.uk/books?id=lD3tAAAAMAAJ January 1995], p 39 News *[[w:en:Japan Today|Japan Today]] (ジャパントゥデイ). GPlusMedia. Gakken Holdings. Annuals and year books *This is Japan. Asahi Shimbun. 1954 to 1971. [https://books.google.co.uk/books?id=2X9DAQAAIAAJ]. Commentary: A Victorian Sailor's Grave in the Seto Inland Sea, p 244 [https://books.google.co.uk/books?id=OegkAgAAQBAJ&pg=PA244#v=onepage&q&f=false] *The Japan Year Book. The Japan Year Book Office. 1905 onwards. [https://archive.org/details/bub_gb_arFPAAAAMAAJ/page/n10/mode/1up 1906]. [https://archive.org/details/in.ernet.dli.2015.553496/page/n27/mode/1up 1915]. *The "Japan Gazette" Japan Year Book. The Japan Gazette. [https://archive.org/details/japan-year-book-1913-1914/page/n15/mode/1up 1913-14] *The Japan Times Year Book *New Japan. Mainichi Newspapers. [https://books.google.co.uk/books?id=gRFCAQAAIAAJ] Almanacs *Asahi Shimbun Japan Almanac. [https://books.google.co.uk/books?id=SEEEAQAAIAAJ 1995]. *Japan Almanac. (The Mainichi Newspapers). [https://books.google.co.uk/books?id=ufAIAQAAIAAJ 1972]. [https://books.google.co.uk/books?id=X4eXWRkbtFsC 1973]. [https://books.google.co.uk/books?id=7rMrAAAAIAAJ] [https://books.google.co.uk/books?id=krMrAAAAIAAJ] *[[w:Boyé Lafayette De Mente|Boye De Mente]]. Passport's Japan Almanac. [https://books.google.co.uk/books?id=741wAAAAMAAJ] General *Japan: A Country Study. (Area Handbook series). 4th Ed: 1983: [https://books.google.co.uk/books?id=HkM5N3JNc5IC]. 5th Ed: 1992: [https://books.google.co.uk/books?id=ze-wupXxpvEC] *Area Handbook for Japan. 2nd Ed: 1964: [https://books.google.co.uk/books?id=WucdAAAAMAAJ&pg=PR1#v=onepage&q&f=false]. 3rd Ed: 1974: [https://books.google.co.uk/books?id=LG2aoq1U_eoC&pg=PR1#v=onepage&q&f=false] (DA Pam 550-30). *Colin Simpson. Picture of Japan. **Japan: An Intimate View. A S Barnes. [https://books.google.co.uk/books?id=3hkeAAAAMAAJ] **This is Japan. Angus & Robertson. [https://books.google.co.uk/books?id=HJEJAQAAIAAJ] *Japan. (The World and Its Peoples). Greystone Press, New York. 1964. Volume 1: [https://books.google.co.uk/books?id=yysUAQAAMAAJ]. Volume 2 "Japan Korea", including Korea: [https://books.google.co.uk/books?id=uQAUAQAAMAAJ]. See pp 1 to 375 for Japan, and pp 376 to 379 for Ryukyu and Bonin Islands. *Japan. (World and its Peoples: Eastern and Southern Asia, volume 8). Marshall Cavendish. 2008. ISBN 9780761476412. *Edward Seidensticker. This Country, Japan. Kodansha International. 1979. ISBN 9780870112294. [https://books.google.co.uk/books?id=88wwAQAAIAAJ] *Hall and Beardsley. Twelve Doors to Japan. McGraw-Hill. New York. 1965. [https://books.google.co.uk/books?id=0KpxAAAAMAAJ] *"Japan". Louis Barron (ed). "Asia & Australasia". Moshe Y Sachs (ed and pub). Worldmark Encyclopedia of the Nations. Worldmark Press, Inc. Harper & Row New York. 1963. pp 145 to 160. [https://books.google.co.uk/books?id=I0oYAQAAMAAJ] **"Japan". Asia & Oceania. 7th Ed: 1988. ISBN 0-471 62406-3. vol 4. pp 153 to 168. **"Japan". Asia & Oceania. 8th Ed: 1995. Gale Research Inc. ISBN 0-8103-9882-6. vol 4. pp 203 to 220. *James E Hoare. "Japan". East and Southeast Asia. The World Today Series 2023–2024. pp [https://books.google.co.uk/books?id=3GfQEAAAQBAJ&pg=PA107#v=onepage&q&f=false 107] to 133. *Japan. (Library of Nations). Time Life Books. 1985. ISBN 0809453347. ISBN 0705408485. [https://books.google.co.uk/books?id=P1NJwcWAnboC] [https://books.google.co.uk/books?id=Ui2CvuyM4JkC] Handbooks *Patrick Heenan (ed). The Japan Handbook. (Regional Handbooks of Economic Development). 1998. [https://books.google.co.uk/books?id=IMG2AgAAQBAJ&pg=PP1#v=onepage&q&f=false] Introduction *Introducing Japan Through Books: A Selected Bibliography. Public Information Bureau, Ministry of Foreign Affairs, Japan. 1968. [https://books.google.co.uk/books?id=FvsyAQAAIAAJ]. 2nd Ed: 1973: [https://books.google.co.uk/books?id=Vj0XAQAAMAAJ]. *Donald Ritchie. Introducing Japan. 1st Ed: 1978. Revised Ed: 1986. 6th printing: 1989: [https://books.google.co.uk/books?id=FE-nxxoKayQC]. 2nd Revised Ed: 1990. 2nd printing: 1991: [https://books.google.co.uk/books?id=hz4UAQAAIAAJ]. 1994: [https://books.google.co.uk/books?id=FMvT6m4SgIQC&pg=PP1#v=onepage&q&f=false]. *Herschel Webb. An Introduction to Japan. Columbia University Press. 2nd Ed: 1957: [https://books.google.co.uk/books?id=YQ8MAQAAIAAJ]. *Introducing Modern Japan. A publication of the Japan Information and Culture Center, Embassy of Japan. Today and yesterday *Ray Downs. Japan Yesterday and Today. Praeger Publishers. 1970. [https://books.google.co.uk/books?id=PwKxAAAAIAAJ] Today *Roger Buckley. Japan Today. Cambridge University Press. 3rd Ed [https://books.google.co.uk/books?id=thyqBtJp2DcC&pg=PP1#v=onepage&q&f=false] Contemporary *Routledge Handbook of Contemporary Japan. 2021. [https://books.google.co.uk/books?id=yfH3DwAAQBAJ&pg=PA2011#v=onepage&q&f=false] *Duncan McCargo. Contemporary Japan. 3rd Ed: 2012. [https://books.google.co.uk/books?id=8I5KEAAAQBAJ&pg=PP1#v=onepage&q&f=false] *Jeff Kingston. Contemporary Japan: History, Politics, and Social Change since the 1980s. 2011. [https://books.google.co.uk/books?id=enJQZA3R4FMC&pg=PP1#v=onepage&q&f=false] [Series] *Routledge Contemporary Japan Series Modern *Hugh Cortazzi. Modern Japan: A Concise Survey. Palgrave Macmillan. 1993. [https://books.google.co.uk/books?id=Cf--DAAAQBAJ&pg=PP1#v=onepage&q&f=false] The Japanese *Peter Tasker. The Japanese: Portrait of a Nation. 1989 [https://books.google.com/books?id=Q1N8ld78wwQC] **The Japanese: A Major Exploration of Modern Japan. [https://books.google.co.uk/books?id=CW-6AAAAIAAJ] **Inside Japan: Wealth, Work and Power in the New Japanese Empire. 1987. [https://books.google.co.uk/books?id=2OJuAAAAMAAJ] *Edwin O Reischauer. The Japanese. The Belknap Press of Harvard University Press. [https://books.google.co.uk/books?id=zrEqAAAAYAAJ] *Edwin O Reischauer and Marius B Jansen. The Japanese Today: Change and Continuity. 1995. [https://books.google.co.uk/books?id=BTPNlLIy2soC&pg=PP1#v=onepage&q&f=false] Japaneseness *Ray T. Donahue (ed). Exploring Japaneseness: On Japanese Enactments of Culture and Consciousness. Ablex Publishing. 2002. [https://books.google.co.uk/books?id=V_NwAAAAMAAJ] *Yoji Yamakuse. Japaneseness: A Guide to Values and Virtues. 2016. [https://books.google.co.uk/books?id=tB0iDAAAQBAJ&pg=PP1#v=onepage&q&f=false] Travel books *DK Eyewitness Travel: Japan. Reprinted with revisions. 2015: [https://books.google.co.uk/books?id=g2NaBgAAQBAJ&pg=PP1#v=onepage&q&f=false]. 2017: [https://books.google.co.uk/books?id=vg15DQAAQBAJ&pg=PP1#v=onepage&q&f=false]. *Dodd and Richmond. The Rough Guide to Japan. 2nd Ed: 2001: [https://books.google.co.uk/books?id=pRGq95ytWZoC&pg=PP1#v=onepage&q&f=false]. *Frommer's Japan. 5th Ed: 2000: [https://books.google.co.uk/books?id=-QC8mVyvPa8C]. *Fodor's Japan YYYY. 1984. [https://books.google.co.uk/books?id=aH2Ow27HUQ0C 1986]. [https://books.google.co.uk/books?id=3gTTf6nbv20C 1987]. 1988. **Fodor's YY Japan. [https://books.google.co.uk/books?id=9QMHllzldlYC 91]. 92. 93. **Fodor's Japan. 13th Ed: 1996: [https://books.google.co.uk/books?id=cZxZAAAAYAAJ] *The New Official Guide: Japan. Japan Travel Bureau. 1966. [https://books.google.co.uk/books?id=HoxxAAAAMAAJ] *Here is Japan. Asahi Broadcasting Corporation. [https://books.google.co.uk/books?id=8QXRCTMNG7MC] *Japan. (Nagel Travel Guide Series, vol 32). 1964. [https://books.google.co.uk/books?id=QsbXAAAAMAAJ] *Clark. All the Best in Japan: with Manila, Hong Kong, and Macao. ("All the Best" series). 1959. Reprinted 1964. [https://books.google.co.uk/books?id=yUq4YaaryrwC]. Reviews: [https://archive.dartmouthalumnimagazine.com/article/1958/6/1/all-the-best-in-japan] (1958) 110 Travel 51 [https://books.google.co.uk/books?id=UVwXAQAAMAAJ] 3 Bulletin of the Japan Society, London, No 11: June 1960, p 25 [https://books.google.co.uk/books?id=2oy74hRRXk4C] **All the Best in Japan and the Orient. 1967. Night *[[w:ja:Taizo Fujimoto|Taizo Fujimoto]]. The Nightside of Japan. T Werner Laurie. Essex Street, Strand, London. 1914. [https://archive.org/details/nightsideofjapan00fujirich/page/n6/mode/1up] Exhibitions *Patricia Morison. "Fun and games with Japanese angst". The Financial Times. Weekend 21/22 September 1991. No 31562. Section II: "Weekend FT". Weekend 21/22 September 1991. Page xx. ["Visions of Japan" exhibition, Victoria and Albert Musuem, ending 5 January 1992.] Languages See [[Universal Bibliography/Languages/Japanese|Japanese]] Literature See [[Universal Bibliography/Literature#Japanese|Japanese literature]] Music See [[Universal Bibliography/Music#Japanese and Japan|Music of Japan]] Cinema See [[Universal Bibliography/Cinema#Japanese|Cinema of Japan]] Television See [[Universal Bibliography/Television#Japanese|Japanese television]] Architecture See [[Universal Bibliography/Architecture|Japanese architecture]] Culture See [[Universal Bibliography/Culture#Japanese|Culture of Japan]] Economy *MERI's Monthly Circular: Survey of Economic Conditions in Japan (1923 to 2025) Mitsubishi Economic Research Institute [https://books.google.co.uk/books?id=4QDtAAAAMAAJ] [https://www.meri.or.jp/en/mc.html] ==Korea== *Korea Journal [https://books.google.co.uk/books?id=O6XfBexsp6gC] Bibliography and literature *Thomas H Kang. "Korean Literature and Bibliography". Kent, Lancour and Daily (eds). Encyclopedia of Library and Information Science. Marcel Dekker. 1977. vol 21. pp [https://books.google.co.uk/books?id=H1pNvzr_n98C&pg=PA176#v=onepage&q&f=false 176] to 240. [[Category:Countries]] e0xgmcja78rv8hux8ppwwegq4csszsy 0 278888 2844213 2461687 2026-11-03T14:29:53Z Alexandru.munteanu98 2901947 /* Flask app definition */ 2844213 wikitext text/x-wiki == Templating engines == A '''Templating Engine''' is software that is designed to process templates and content information to produce output documents. It can be successfully used in Web content generation. It allows separating Examples include: * Jinja (Python) * Velocity (Java) * Freemarker (Java) * JavaServerPages (Java) * Phptal (PHP) * Smarty (PHP) * ActiveServerPages (.NET) * XSLT (XML) The main advantages of '''Templating Engines''' is that they: * Enforce the separation of functional responsibility (eg. designer from programmer) * Promote division of labor * Provide easier syntax * Increase security '''Templating Engines''' can be used in: * Servlet-based Web applications * Java and SQL code generation * XML processing and transformation * Text processing, such as RTF file generation == Examples == === Jinja2 with the Flask framework === Jinja is the most widely used templating engine for Python. It is inspired from Django's templating language and it's also Flask's default engine. The project's homepage is https://jinja.palletsprojects.com/en/2.11.x/ Since jinja2 is already in the PyPi repositories, one can easily install it with Python's package manager, pip. The command installing Jinja2 directly is ('''NOTE:''' you can directly use pip install Flask, as the Flask package has a dependency for Jinja2 and it will automatically get installed):<syntaxhighlight lang="bash"> pip install Flask </syntaxhighlight> ==== Using a virtual environment (optional) ==== Since installing Python packages directly on your operating system is not recommended, using Python's virtual environments is usually a good idea. The principle here is to have a separate Python distribution and to install packages inside the separated environment. Creation and activation of a virtual environment works as such:<syntaxhighlight lang="bash"> virtualenv -p PythonX.X <venv-name> source <venv-name>/bin/activate </syntaxhighlight>Or (in the case you are using Microsoft Windows):<syntaxhighlight lang="batch"> C:\Python35\python -m venv X:\path\to\myenv C:\> <venv>\Scripts\activate.bat </syntaxhighlight>Where X.X is the desired Python version the environment should contain, and ''<venv-name>'' is it's desired name. Once created and activated, one can check using the '''which python''' or '''which pip''' command to validate the fact the virtual environment's Python distribution is being used. ==== Flask app definition ==== We will use the minimal Flask framework, as by default Flask utilizes the [https://flask.palletsprojects.com/en/2.0.x/ Jinja templating engine].<syntaxhighlight lang="python3" line="1"> import xml.etree.ElementTree as ET from flask import Flask, render_template app = Flask(__name__) @app.route('/') def display_content(content=None): xml_tree = ET.parse('queue.xml').getroot() return render_template('template.html', content=xml_tree) </syntaxhighlight>Here's what the ''template.html'' file looks like:<syntaxhighlight lang="jinja" line="1"> <title>Reading Queue</title> <ul> {% for entry in content %} <li> <strong>{{ entry[0].text }}</strong> <a href="{{ entry[1].text }}">{{ entry[1].text }}</a> </li> {% endfor %} </ul> </syntaxhighlight>In order to run the example one must have the following directory structure:<syntaxhighlight lang="text"> . ├── index.py ├── queue.xml └── templates │ └── template.html └── venv </syntaxhighlight>In order to run the web application with flask, the environment variable ''FLASK_APP'' has to point to index.py:<syntaxhighlight lang="bash"> export FLASK_APP=index.py </syntaxhighlight>Or if running Microsoft Windows:<syntaxhighlight lang="batch"> SET FLASK_APP=index.py </syntaxhighlight>Then, starting the app:<syntaxhighlight lang="bash"> flask run </syntaxhighlight>Jinja2 also includes a set of directives: * %if * %else * %elif * %for * %raw * %extends === Velocity === Download from : [https://velocity.apache.org/download.cgi Apache Velocity - Download Page] (Project website http://velocity.apache.org/download.cgi) When using ''Velocity'', information is usually retrieved from beans. Consider for example the following code which displays ''Welcome John to your first Velocity application. Your email address is john@student.com''.<syntaxhighlight lang="java"> import java.io.StringWriter; import org.apache.velocity.app.VelocityEngine; import org.apache.velocity.Template; import org.apache.velocity.VelocityContext; public class VelocityTest { public static void main( String[] args ) throws Exception { // Get and initialize an engine VelocityEngine ve = new VelocityEngine(); ve.init(); // Get the Template Template t = ve.getTemplate( "hello.vm" ); // Create a context and add data VelocityContext context = new VelocityContext(); UserInfo user = new UserInfo("John", "john@student.com"); context.put("user", user); // Render the template into a StringWriter StringWriter writer = new StringWriter(); t.merge( context, writer ); // Show the result System.out.println( writer.toString() ); } } public class UserInfo { private String user, email; public UserInfo (String name, String email) { this.user = name; this.email = email; } public String getUser() { return this.user; } public String getEmail() { return this.email; } } </syntaxhighlight>where the ''hello.vm'' file looks like:<syntaxhighlight lang="java"> Welcome $user.user to your first Velocity application. Your email address is $user.email. </syntaxhighlight>'''IMPORTANT''': notice that we do not have to use the exact getters for retrieving the value of the fields. Velocity takes care of that for use by using Java Reflection. You can also use directives such as: * #set() * #if() * #else * #elseif() * #end * #foreach() * #include() * #parse() * #macro() A complete reference for template syntax can be found [http://velocity.apache.org/engine/1.7/vtl-reference.html here]. '''Links:''' * [[wikipedia:en:Template_engine_(web)|Template Engine -- Wikipedia]] * [[wikipedia:en:Business_logic|Business Logic -- Wikipedia]] *[https://flask.palletsprojects.com/en/1.1.x/ Flask -- Project Homepage] *[http://jinja.pocoo.org/docs/dev/ Jinja2 -- Python Template Engine] *[https://flask.palletsprojects.com/en/2.0.x/patterns/templateinheritance/ Jinja template inheritance] * [http://velocity.apache.org/ Velocity -- Java templating engine] * [http://www.javaworld.com/javaworld/jw-12-2001/jw-1228-velocity.html JavaWorld Velocity Tutorial] == Exercises == * Start from the data in XML format from the previous laboratory. Create beans and/or lists for it and populate them with data directly from within Java / Python code. Generate the same HTML code, as in the previous laboratory, using a Velocity or Jinja template. [[User:Gabriel Iuhasz| Gabriel Iuhasz]], 2014-10-01, [mailto:iuhasz.gabriel@e-uvt.ro iuhasz.gabriel@e-uvt.ro] Alexandru Munteanu 2021-10-16, mailto:alexandru.munteanu@e-uvt.ro [[Category:Web Technology]] b15xl4061ffma8on8yzq3hj0cq2224z 2 289273 2844287 2844061 2026-11-03T19:04:10Z Dc.samizdat 2856930 /* General relativity is the geometry of gravity in Euclidean 4-space */ 2844287 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. A point in 4-space may be in motion on two circles in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. Nothing constrains the two circles to be of the same radius, or constrains either circle from being of infinite radius such that the point moves in a straight line within its rotation plane: a translation <math>\mathrm{T}</math> rather than a rotation <math>\mathrm{Q}</math>. The motion of a rigid object defined by multiple points is constrained by its rigidity, such that the radii of both circles may approach infinity, but only one of the two radii may actually reach infinity. For a rigid object, only one of the two rotations may actually be a translation. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation (or any <math>\mathrm{Q}</math>) lies on a great circle of an ordinary sphere (a 2-sphere). In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere). Such 4-dimensional great circles are inherently more complex than the ordinary circles we experience in 3-space. They do not lie in a single plane, but bend through all four dimensions, in either a left or right hand direction of curvature. Unlike ordinary circles they are inherently chiral, and their circumference is not <math>2\pi r</math>, but like ordinary circles they are truly circular, geodesic circles. In 4-space they might even be said to be more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is the common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} io0kx9c60lzec9bxrlfnbalzhbcu2rm 2844294 2844287 2026-11-03T20:30:09Z Dc.samizdat 2856930 /* An object's motion in space is the product of its discrete self-reflections */ 2844294 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), moving or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), moving or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary circles we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, it also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two completely orthogonal circular motions gives a circular orbit to each point that does not lie in any single rotation plane: a circular helix that bends through all four dimensions rather than just two dimensions, in either a left or right hand direction of curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar circles they are truly circular, geodesic circles. In 4-space they might even be said to be more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is the common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} sz0q9vabso7q0sunkgd19ngnlrox8ux 2844295 2844294 2026-11-03T20:40:44Z Dc.samizdat 2856930 /* An object's motion in space is the product of its discrete self-reflections */ 2844295 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), moving or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), moving or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, the rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two completely orthogonal circular motions gives a circular orbit to each point that does not lie in any single rotation plane: a circular helix that bends through all four dimensions rather than just two dimensions, in either a left or right hand direction of curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar circles they are truly circular, geodesic circles. In 4-space they might even be said to be more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is the common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} 96fua4mu3sx5v14e9fpymugdpbyjwny 2844326 2844295 2026-11-03T22:11:52Z Dc.samizdat 2856930 /* An object's motion in space is the product of its discrete self-reflections */ 2844326 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), moving or stationary respectively. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), moving or stationary respectively. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} 63ytagc2q02dhy5r62k69fdo0t1r7sx 2844328 2844326 2026-11-03T22:13:09Z Dc.samizdat 2856930 /* An object's motion in space is the product of its discrete self-reflections */ 2844328 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), moving or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), moving or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} mgou1n1gihih90a8pz0cgo2y24xd02j 2844330 2844328 2026-11-03T22:14:05Z Dc.samizdat 2856930 /* An object's motion in space is the product of its discrete self-reflections */ 2844330 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} eai8ajmilh3duew4jgnynqzhlvy173u 2844333 2844330 2026-11-03T22:22:44Z Dc.samizdat 2856930 /* An object's motion in space is the product of its discrete self-reflections */ 2844333 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} teovgn69yilrgaxnuh1le0mw9fmmzc6 2844334 2844333 2026-11-03T22:33:05Z Dc.samizdat 2856930 /* Summary */ 2844334 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences implies that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} 2yyebjiglhk119luow5zftdw2mpgllj 2844344 2844334 2026-11-03T22:50:56Z Dc.samizdat 2856930 /* Special relativity is Galilean relativity in Euclidean 4-space */ 2844344 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences imply that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference. Many distinct 4-space rotations of interest have a circumference of 720°, and many are larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} 249uehp2degnlcyhs9kgga08uvydbr7 2844349 2844344 2026-11-03T23:13:46Z Dc.samizdat 2856930 /* General relativity is the geometry of gravity in Euclidean 4-space */ 2844349 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences imply that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference, they are chiral 4-dimensional circles which we refer to as isoclines. Many distinct 4-space rotations of interest have isoclines of 720° circumference, or larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180 degrees. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} 1gcplgusrdntuls7wsrjv0z2ny0ku7w 2844352 2844349 2026-11-03T23:20:31Z Dc.samizdat 2856930 /* General relativity is the geometry of gravity in Euclidean 4-space */ 2844352 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences imply that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference, they are chiral 4-dimensional circles which we refer to as isoclines. Many distinct 4-space rotations of interest have isoclines of 720° circumference, or larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180°. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} gmwnoulyy8rc8j8ze7qs6gc5lzwalcp 2844353 2844352 2026-11-03T23:21:16Z Dc.samizdat 2856930 /* Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space */ 2844353 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences imply that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference, they are chiral 4-dimensional circles which we refer to as isoclines. Many distinct 4-space rotations of interest have isoclines of 720° circumference, or larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180°. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we may begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} gsbv25qti3nyxgczphlnw9sgqnrxxi0 2844354 2844353 2026-11-03T23:21:48Z Dc.samizdat 2856930 Undid revision [[Special:Diff/2844353|2844353]] by [[Special:Contributions/Dc.samizdat|Dc.samizdat]] ([[User talk:Dc.samizdat|talk]]) 2844354 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences imply that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference, they are chiral 4-dimensional circles which we refer to as isoclines. Many distinct 4-space rotations of interest have isoclines of 720° circumference, or larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180°. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} gmwnoulyy8rc8j8ze7qs6gc5lzwalcp 2844437 2844354 2026-11-04T07:51:38Z Dc.samizdat 2856930 /* General relativity is the geometry of gravity in Euclidean 4-space */ 2844437 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences imply that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference, they are chiral 4-dimensional circles which we refer to as isoclines. Many distinct 4-space rotations of interest have isoclines of 720° circumference, or larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are distinct characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation, they depend on the shape of the rotational isocline which is unique to the distinct rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with a unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180°. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} 1lxsm445jlpnsr3qt2i0akzz3o0ytnf 2844438 2844437 2026-11-04T07:53:53Z Dc.samizdat 2856930 /* General relativity is the geometry of gravity in Euclidean 4-space */ 2844438 wikitext text/x-wiki {{align|center|David Brooks Christie}} {{align|center|dc@samizdat.org}} {{align|center|Draft in progress}} {{align|center|June 2023 - October 2026}} <blockquote>'''Abstract:''' The physical universe is properly visualized as real Euclidean space <math>\mathbb{R}^4</math> of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are 4-polytopes, small round 4-dimensional objects, and stars are 4-balls of atomic plasma, large round 4-dimensional objects. We ourselves and the objects we observe near us are only 3-dimensional, but nonetheless we can see into four dimensions of space. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. Light from them reaches us directly, on straight lines through 4-space. This view of the observed universe is compatible with special and general relativity, and with quantum mechanics. It furnishes those theories with an explanatory geometric model.</blockquote> == Summary == We observe that: * Physical space is Euclidean with four perpendicular dimensions. * Atoms are [[W:4-polytope|4-polytopes]]. An atom's motion is the local product of its discrete self-reflections in Euclidean 4-space. * The sun is a [[W:4-ball|4-ball]] that is round in four dimensions. It occupies a hyperspherical region in Euclidean 4-space. * Everything of intermediate size between an atom and a star, including ourselves and our planet, lies in a 3-dimensional manifold of ordinary space, embedded in Euclidean 4-space. * Our entire 3-space manifold is moving at the speed of light <math>c</math> in Euclidean 4-space. The gravitational coherence of galaxies is inertial coherence, a result of their linear motion at velocity <math>c</math> in Euclidean 4-space. * Special relativity describes the linear motion of objects and light signals in Euclidean 4-space. The propagation speed of light is <math>c\prime = 2c</math> measured on a straight line in Euclidean 4-space. * General relativity describes the rotational motion of objects with mass in Euclidean 4-space. Time ticks at the same rate everywhere in Euclidean 4-space. * Quantum mechanics describes the symmetry group actions of elementary geometric objects (4-polytopes) in Euclidean 4-space. The proton has the symmetry of the simplex polytope in Euclidean 4-space. * The universe may properly be viewed as an <math>n</math>-sphere whose center is wherever there is intelligence. == A theory of the Euclidean cosmos == <blockquote>If we are to have any hope of understanding the universe, we must dare to imagine a world that is not bounded by our limited perspective.<ref>{{Cite book|first=Adam|last =Becker|year=2018|title=What Is Real? The Unfinished Quest for the Meaning of Quantum Physics}}</ref></blockquote> The physical universe is properly visualized as [[w:Four-dimensional_space|real Euclidean space <math>\mathbb{R}^4</math>]] of four orthogonal spatial dimensions. Space itself has a fourth perpendicular dimension, of which we are unaware in ordinary life. Atoms are [[w:4-polytope|4-polytopes]], small round 4-dimensional objects, and stars are [[W:4-ball|4-balls]] of atomic plasma, large round 4-dimensional objects. Objects intermediate in size between atoms and stars, including molecules, people, and planets (at their surfaces), are so flat as to be essentially 3-dimensional, having only the thickness of an atom in the orthogonal fourth dimension. All objects with mass move inertially through Euclidean 4-space at constant velocity <math>c</math> as long as they exist, and acceleration only varies their direction. Objects moving in the same direction are in the same inertial reference frame. Their direction of motion through 4-space at velocity <math>c</math> is their proper time dimension, simply because their direction and velocity of motion through time is the same as their direction and velocity of motion through space. A typical galaxy such as ours occupies a 4-ball of mostly empty space, with stars and other objects distributed non-uniformly within it. The galaxy's orbital center may be nothing: a smaller 4-ball of empty space they surround. The stars in our spiral galaxy appear from our accustomed point of view to occupy a disk-like region of 3-dimensional space, with a denser ball-like center, but they are not so confined: they are distributed within a region of 4-dimensional space. The disk and ball have thickness not only in the third dimension, but in the fourth spatial dimension as well. Light from stars and galaxies reaches us on straight lines through Euclidean 4-space, so from our viewpoint, in what we have always imagined to be a 3-space universe, we look into the surrounding 4-space. Although we are physically confined within a 3-dimensional hyperplane by the inertia of our motion through 4-space at constant velocity <math>c</math>, light signals are not so confined, so we observe all the cosmological objects surrounding us, both in and above or below our hyperplane, without perceiving their separation in our fourth orthogonal dimension, the direction of our motion. Several objects which appear to us to be located at almost the same point in our sky may actually lie in directions many degrees apart, since the entire hyperspherical sky is projected onto an ordinary sphere in our view of it. We may perceive a galaxy as elliptical when it is actually spherical, because that is how its image projects from its 4-ball shape into a 3-ball region in our hyperplane, where we detect it with our 3-dimensional bodies. More generally, orbits are circular in 4-space, but elliptical in the 3-space of their elliptic hyperplane. The galaxy as a whole, or more properly its orbital barycenter, is translating through 4-space at velocity <math>c</math>, in a distinct direction orthogonal to all three dimensions of our ordinary proper 3-space. Stars within the galaxy are translating with it at the same velocity <math>c</math> in the same direction, but on spiral trajectories as they pursue their various orbits within the galaxy. The galaxy as a whole occupies a 4-ball within its proper inertial reference frame (that is, in the moving frame of reference in which the galaxy considers itself to be a stationary rotating 4-ball). Over time, the galaxy 4-ball occupies a 4-dimensional cylinder and progresses along the cylinder's axis at velocity <math>c</math>. In this more universal inertial reference frame, the stars in the galaxy follow helical geodesic paths through the 4-cylinder; their trajectories are screw-translations through 4-space, the compound of a simple rotation and a completely orthogonal linear translation. The gravitational force and the inertial tendency to follow a geodesic are the same phenomenon, by the equivalence principle. That said, they can be distinguished, and the galaxy is held together primarily by gravity as inertia, not by gravity as attraction to a central mass toward which objects fall in orbit. There is not enough mass in the galaxy to hold it together by attraction, there is just enough to bend the stars' trajectories toward each other, in helical orbits around the galaxy's barycentric axis of motion. It is the tremendous inertial force of stars in translational motion at velocity <math>c</math> that holds the cylinder of motion together, not some invisible dark matter. The observed universe as a whole appears to be a [[W:3-sphere|3-sphere]] expanding radially from a central origin point at velocity <math>c</math>, the invariant velocity of mass-carrying objects through 4-space, also the propagation speed of light relative to any moving 3-space manifold, as measured by all observers. A 3-sphere is a hypersphere in Euclidean 4-space, but the bounding surface of a 3-sphere is a curved, finite 3-space, dimensionally analogous to the surface of the earth which is a curved, finite 2-space. This 3-sphere could be the domain of our visible cosmos, but of course we do not know for certain that all the cosmological objects we observe lie near the surface of our expanding 3-sphere, since it is only our assumption that they must all have originated in the same big bang long ago. Possibly some of the more distant objects we observe did not, and lie elsewhere, outside our big-bang's 3-sphere of outflying matter or even inside its 3-sphere, below its surface. We cannot assume that all objects in the 4-space universe lie near the surface of the same expanding 3-sphere. For all observers, the conjectured big-bang of their origin corresponds not only to a now-distant point in their proper time past, it also corresponds to a distinct now-distant point in 4-dimensional space: the same point in the same Euclidean 4-space for all observers with the same origin. Our big bang had a distinct origin point in real space as well as in real time. More generally, time and Euclidean 4-space can be measured independently, just as time and Euclidean 3-space were measured classically, without the necessity to combine them as spacetime. The same inertial force which holds the galactic cylinder of motion together also confines us physically to an exceedingly thin three-dimensional surface manifold moving through 4-space at velocity <math>c</math>. All objects in our solar system too small to have their own gravity lie entirely within this thinest three-dimensional manifold, and have only the thickness of an atom in their direction-of-motion fourth dimension. That is why we are 3-dimensional objects ourselves, and why we cannot construct more than three perpendiculars through a single point in our local 3-dimensional space. A spherical region of 4-space is called a [[W:4-ball|4-ball]]. The bounding surface of a 4-ball of any size is a finite, curved (non-Euclidean) 3-dimensional space called a [[w:3-sphere|3-sphere]]. Our entire big-bang-origin universe appears to be the largest 3-sphere we observe, but each of the cosmological objects within it (including our galaxy and our sun) is bounded by a smaller 3-sphere lying (we assume) on the largest 3-sphere embedded in its surface, like a soap bubble on the surface of a larger soap bubble. All the 3-dimensional surfaces are expanding, as the largest 3-sphere inflates at radial velocity <math>c</math>. We ourselves live within such an expanding 3-dimensional surface, in an infinitesimally curved 3-manifold surface embedded in Euclidean 4-space. That surface is the ordinary 3-dimensional space we experience. The earth and all the planets lie on it. Our solar system is only a small patch on the bounding surface of a dimensionally rounder space, although that surface is not infinite. It is curved, and finite, analogous to the way the 2-dimensional surface of the earth -- once thought to be flat -- is curved and finite. Our solar system occupies a small patch on a filmy 4-dimensional soap-bubble of galactic size rounded by gravity, that is thicker-skinned than the diameter of an atom only in the superdense interior of large gravitational objects. Our 3-manifold of ordinary space, as a surface within our moving 4-ball galaxy, is translating through 4-space at velocity <math>c</math> with the galaxy, in a distinct direction orthogonal to all three of our 3-manifold's dimensions of interior space. At every material point in the manifold (at every atom), the translation through 4-space is following a geometric law of motion discovered by Coxeter, that governs the propagation of individual objects through Euclidean space by the actions of their symmetry groups. The solar system's atoms of mass are 4-polytopes that are simultaneously rotating and translating, and as they advance together they define a moving 3-dimensional manifold by their own collective inertia, also called gravity, the property of matter's ceaseless propagation through 4-space at the constant velocity <math>c</math>, the universal rate of causality at which quantum events occur, all objects move, and the universe evolves. Any moving 3-dimensional manifold such as ours is an evolving surface boundary that is empty in most places, occupied by single atoms in comparatively fewer places, and occupied by bound complexes of multiple atoms (molecules) in still fewer places. In all these places it is no thicker than one atom in the dimension corresponding to its direction of translation, because molecules are 3-dimensional complexes of atoms that add no thickness to the manifold. In fewer places still it is occupied by large lumps of matter which exert a significant gravitational attraction, such as planets and their satellites. These round gravitational objects are thicker than one atom in their fourth dimension, but not uniformly so. They are disk-like 4-dimensional objects, 3-balls that are flattish in the fourth dimension. They are typically only one atom thick at the 4-disk's sharp edge, but they may be much thicker in the center of the 4-disk, particularly if their gravity is strong enough to give them a core of superdense matter, like the earth's deep core. The moving surface manifold cannot be thicker than one atom at any point unless and until there is enough mass near that point for the force of gravity as attraction to overcome the force of gravity as inertia, allowing atoms to be "heaped up" into larger 4-dimensional objects that form a lump in its moving surface. We have only indirect experience of such 4-dimensional lumps of matter thicker than one atom, since they occur naturally in our vicinity only in regions of superdense matter, such as the core of the earth or the interior of the sun. Deep in the core of the earth under enormous gravitational pressure peculiar states of matter have been observed, defying our understanding of how 3-dimensional crystalline structures behave. That is because they are not 3-dimensional structures, they are 4-dimensional crystals. The earth is a disk-like 4-dimensional object that is thin at its edge but thicker at center, dimensionally analogous to a 3-dimensional flying saucer with a sharp circular edge. The earth's surface that we walk on is an ordinary sphere (a 2-sphere), analogous to the circular edge of the flying saucer (a 1-sphere), and on that edge where we live every object we find (including our bodies) is 3-dimensional with only the thickness of an atom in the fourth dimension. We cannot walk on the top or bottom surface of the 4-disk flying saucer because those surfaces are 3-dimensional regions within the earth. The earth's deep core of superdense 4-dimensional matter occupies a spherical region of 4-dimensional space (a 4-ball). The sun is the only entirely spherical 4-ball occurring naturally in our solar system. We refer to the contents of such superdense 4-balls of matter as atomic plasma, and have little experimental knowledge of their internal geometry or processes. We know that the sun burns at its surface 3-sphere and emits radiation, and we know a good deal about those surface processes which are nuclear atomic processes, but we know very little about its interior 4-ball, a dimensionally rounder enclosed space whose existence we did not suspect. Every moving surface boundary of matter in the observed universe is evolving in four dimensions at velocity <math>c</math>. The current location in 4-space of any of its material objects corresponds to the present moment in the proper time of that object's inertial reference frame. The object's direction of movement at velocity <math>c</math> corresponds to its proper time dimension, which is a spiral over time, not a Euclidean (straight-line) dimension, since its direction is changing in its orbit. Objects with mass of all sizes, from subatomic particles to the largest objects observed in the cosmos, are perpetually in inertial rotational motion in some orbit, and simultaneously in inertial translational motion propagating themselves through 4-space, in two completely orthogonal inertial motions each at the constant universal rate of transformation <math>c</math>. Every free-falling object with mass moves relative to universal 4-coordinate Euclidean space on its own distinct geodesic spiral, a screw displacement trajectory that is the compound of its two completely orthogonal inertial motions at velocity <math>c</math>, a rotation and a translation. Objects without mass such as photons lie off such moving surface boundaries of matter from which they were emitted, and their motion is of a different nature. They are in translational motion at velocity <math>c</math> through all four dimensions concurrently, without any rotational component of motion, so they move through 4-space on straight lines at a compound velocity. The propagation speed of light measured on a straight line through Euclidean 4-space is <math>c\prime = 2c</math>, so we can see in four dimensions, even though we are physically confined to a 3-dimensional manifold that is moving at velocity <math>c</math>. For example, we can look across the center of the mostly-empty 4-ball containing our galaxy and see stars in the opposite sides of its concentric 3-sphere orbital surfaces. We have been unaware that when we look up at night we see stars and galaxies, themselves large 4-dimensional objects, distributed all around us in 4-dimensional Euclidean space, and moving through it, like us, at the constant velocity <math>c</math>. They move in the 4-space direction corresponding to their proper time, perpendicular to all three dimensions of their proper 3-space, and generally the farther they are from us the greater the divergence of their direction of motion from our direction of motion: the greater the relative motion between us, and the greater their Hubble redshift. Light from them reaches us directly, propagating on straight lines through 4-space at twice the velocity at which they, and we ourselves, are propagating through 4-space. This physical model of the observed universe is compatible with the theories of special and general relativity, and with the atomic theory of quantum mechanics. It explains those theories geometrically, as expressions of intrinsic symmetries in Euclidean space. == Symmetries == It is common to speak of nature as a web, and so it is, the great web of our physical experiences. Every web must have its root systems somewhere, and nature in this sense must be rooted in the symmetries which underlie physics and geometry, the [[W:Group (mathematics)|mathematics of groups]].{{Sfn|Conway, Burgiel & Goodman-Strauss|2008}} As I understand [[W:Noether's theorem|Noether's theorem]] (which is not mathematically), hers is the deepest meta-theory of nature yet, deeper than [[W:Theory of relativity|Einstein's relativity]] or [[W:Evolution|Darwin's evolution]] or [[W:Euclidean geometry|Euclid's geometry]]. It finds that all fundamental findings in physics are based on conservation laws which can be laid at the doors of distinct [[W:symmetry group |symmetry group]]s. Thus all fundamental systems in physics, as examples [[W:quantum chromodynamics|quantum chromodynamics]] (QCD) the theory of the strong force binding the atomic nucleus and [[W:quantum electrodynamics|quantum electrodynamics]] (QED) the theory of the electromagnetic force, each have a corresponding symmetry [[W:group theory|group theory]] of which they are an expression. [[W:Coxeter group|Coxeter's theory of symmetry groups]] generated by reflections did for geometry what Noether's theorem and Einstein's relativity did for physics. [[W:Coxeter|Coxeter]] showed that Euclidean geometry is based on conservation laws that correspond to distinct symmetry groups, and that their group actions express the principle of relativity. Here is Coxeter's formulation of the motions of objects (their congruent transformations) in an ''n''-dimensional Euclidean space, excerpted:{{Sfn|Coxeter|1973|pp=217-218|loc=§12.2 Congruent transformations}} <blockquote>Let <math>\mathrm{Q}</math> denote a rotation, <math>\mathrm{R}</math> a reflection, <math>\mathrm{T}</math> a translation, and let <math>\mathrm{Q}^q \mathrm{R}^r\mathrm{T}</math> denote a product of several such transformations, all commutative with one another. Then <math>\mathrm{RT}</math> is a glide-reflection (in two or three dimensions), <math>\mathrm{QR}</math> is a rotary-reflection, <math>\mathrm{QT}</math> is a screw-displacement, and <math>\mathrm{Q^2}</math> is a double rotation (in four dimensions).<br> Every orthogonal transformation is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r</math><br> where <math>(2^q + r \le n)</math>, the number of dimensions.<br> Transformations involving a translation are also expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}</math><br> where <math>(2^q + r + 1 \le n)</math>.<br> For <math>(n = 4)</math> in particular, every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> If we begin with this most elemental [[w:Kinematics|kinematics]] of Coxeter's, and also assume the [[W:Galilean relativity|Galilean principle of relativity]], every displacement in 4-space can be viewed as either a <math>\mathrm{Q^2}</math> or a <math>\mathrm{QT}</math>, because we can view any <math>\mathrm{QT}</math> as a <math>\mathrm{Q^2}</math> in a linearly moving (translating) reference frame. Therefore any transformation from one inertial reference frame to another is expressable as a <math>\mathrm{Q^2}</math>. By the same principle, we can view any <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> as an isoclinic (equi-angled) <math>\mathrm{Q^2}</math> by proper choice of reference frame.{{Efn|[[W:Arthur Cayley|Cayley]] showed that any rotation in 4-space can be decomposed into two isoclinic rotations, which intuitively we might see follows from the fact that any transformation from one inertial reference frame to another is expressable as a [[W:SO(4)|rotation in 4-dimensional Euclidean space]].|name=Cayley's rotation factorization into two isoclinic reference frame transformations}} Coxeter's relation is thus a mathematical statement of the principle of relativity, on group-theoretic grounds. It correctly captures the limits to [[W:General relativity|general relativity]], in that we can only exchange the translation (<math>\mathrm{T}</math>) for ''one'' of the two rotations (<math>\mathrm{Q}</math>). An observer in any inertial reference frame can always measure the presence, direction and velocity of ''one'' rotation (<math>\mathrm{Q}</math>) up to uncertainty, and can always distinguish the direction of their own proper time translation (<math>\mathrm{T}</math>). As I understand Coxeter theory (which is not mathematically), the symmetry groups underlying physics seem to have an expression in a [[W:Euclidean space|Euclidean space]] of four [[W:dimension|dimension]]s, that is, they are [[W:Euclidean geometry#Higher dimensions|four-dimensional Euclidean geometry]]. Therefore as I understand that geometry (which is entirely by synthetic methods rather than by [[W:Geometric algebra|Clifford's algebraic methods]]), the [[W:Atom|atom]] seems to have a distinct Euclidean geometry, such that atoms and their constituent particles are four-dimensional geometric objects (4-polytopes), and nature can be understood in terms of their [[W:group action|group actions]], including centrally their group <math>SO(4)</math> [[W:rotations in 4-dimensional Euclidean space|rotations in 4-dimensional Euclidean space]]. The distinct Coxeter symmetry groups have characteristic <math>SO(4)</math> rotational expressions as the [[W:Regular_4-polytope|regular 4-polytopes]]. Their discrete isoclinic rotations are distinguishing properties of fundamental objects in geometry, relativity and quantum mechanics. For example, atoms exhibit <math>SO(4)</math> symmetries of the discrete isoclinic (equi-angled) double rotations (<math>\mathrm{Q^2}</math>) of a set of regular 4-polytopes that is characteristic of their [[w:Atomic_number|atomic number]]. == Special relativity describes Euclidean 4-space == <blockquote>Our entire model of the universe is built on symmetries. Some, like isotropy (the laws are the same in all directions), homogeneity (same in all places), and time invariance (same at all times) seem natural enough. Even relativity, the Lorentz Invariance that allows everyone to observe a constant speed of light, has an elegance to it that makes it seem natural.<ref>{{Cite book|first=Dave|last=Goldberg|title=The Universe in the Rearview Mirror: How Hidden Symmetries Shape Reality|chapter=§10. Hidden Symmetries: Why some symmetries but not others?|year=2013|publisher=Dutton Penguin Group|isbn=978-0-525-95366-1|ref={{SfnRef|Goldberg|2013}}}}</ref></blockquote> Although the Minkowski spacetime of relativity is a non-Euclidean 4-dimensional space,{{Efn|Spacetime is a non-Euclidean (curved) 4-dimensional space because it consists of three orthogonal space dimensions and a time dimension. The time dimension is not orthogonal to the three spatial dimensions; the time coordinate has the opposite sign as the three space coordinates so spacetime is hyperbolic, not a Euclidean (flat) 4-space at all.}} it has been noticed that its 3-dimensional space component could be modeled as a [[W:3-sphere|3-sphere]] embedded in 4-dimensional Euclidean (flat) space. That is, we could imagine that the ordinary 3-dimensional space we perceive is the curved 3-dimensional surface of a 4-dimensional ball (since the surface of a 4-ball is a curved 3-dimensional space called a 3-sphere, just as the surface of a 3-ball like the earth is a curved 2-dimensional space called a 2-sphere). This was [[#Origins of the theory|imagined by Einstein]] himself in 1921, as a thought experiment in which he carefully described his fourth orthogonal spatial dimension as merely a mathematical abstraction.<ref name=Einstein1923>{{Cite book|url=http://www.gutenberg.org/ebooks/36276|title=The Meaning of Relativity|last=Einstein|first=Albert|publisher=Princeton University Press|year=1923|isbn=|location=|pages=110-111}}</ref> Subsequently it was noticed by others (not mainstream physicists) that if physical space were really embedded in Euclidean 4-dimensional space (with our 3-dimensional space embedded in 4-space as some non-Euclidean 3-manifold, not necessarily a 3-sphere), then the Lorentz transformation effects of special relativity (spatial forshortenings and time dilations and so forth) could all be explained by ordinary perspective geometry in 4-dimensional Euclidean space. Special relativity reduces to classical vector space geometry (based on the 4-dimensional version of the Pythagorean theorem), but if and only if every observer is moving through 4-space at a universal constant velocity <math>c</math>, in some 4-space direction.{{Sfn|Yamashita|2023}} This counter-intuitive alternative geometric model of relativity, which has usually been called [[W:Formulations of special relativity#Euclidean relativity|Euclidean relativity]], is motivated by the fact that in every kind of relativity, but originally in Einstein's special relativity, each observer moves on a vector through a Euclidean four-dimensional space consisting of their three proper spatial dimensions and their proper time dimension, and the Pythagorean vector-sum of their motion through this kind of proper 4-space is always <math>c</math>, as measured by all observers from any inertial reference frame.{{Efn|Each observer is stationary in space in their own proper reference frame, while they move at maximum velocity {{Math|c}} through their own proper time. Observed from another reference frame in relative motion, they appear foreshortened in space in their direction of motion, and their clocks appear to be slowed to less than the maximum velocity {{Math|c}}.}} This is the Lorentz invariant, that allows everyone to observe a constant speed of light, regardless of their motion relative to the light source.{{Efn| ...cite Lewis Epstein's elegant explanation of the Lorentz Invariance as observers moving at constant velocity {{Math|c}} through space and proper time.}} But no physicists have taken the leap of claiming that therefore, our universe is physically [[W:Euclidean geometry#Higher dimensions|this kind of Euclidean 4-space]], and that observers are actually moving through it at velocity <math>c</math>. In physics as it has been universally understood, observers are not supposed to be able to move at velocity <math>c</math>. Their motion takes place in 3-space and in universal coordinate time (in Minkowski spacetime), and the cosmos is considered to be a non-Euclidean 3-space, generally a closed (finite) expanding 3-space, but with only three spatial dimensions, not four. In the Euclidean relativity alternative view, however, every observer is always moving at velocity <math>c</math> through the universe, which is real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. The direction in which they are moving is called their proper time axis.{{Efn|Time in spacetime is universal coordinate time, but there is another kind of time in relativity, the proper time in each inertial reference frame. Your proper time is the time you experience, and every observer has his own proper time; proper time runs at different rates in different inertial reference frames. It runs slower (compared to universal coordinate time) in a gravitational field (according to general relativity), and observers in motion with respect to each other view each other's clocks as running slower than their own clocks (according to special relativity).}} Their movement in time is not just modelled as movement in an abstract fourth dimension (as it is in Minkowski spacetime), their movement in time is isomorphic to their movement through physical space in a distinct direction at velocity <math>c</math>. Two observers' directions of movement through space may be different (or not, if they happen to be going in the same direction). Your proper time dimension is whichever direction you are moving. The other three directions perpendicular to your proper time axis are the three dimensions of your ordinary proper space, which again, will be different directions for you than for other observers moving in a different direction. There are four orthogonal spatial dimensions which we all share, but we share the same orthogonal proper time axis and ordinary proper 3-space axes only if we are at rest with respect to each other, actually moving in the same direction at velocity <math>c</math>, in the same inertial reference frame. Your proper 4-space coordinate system is rotated with respect to another observer's proper 4-space coordinate system, precisely as your vectors (directions of motion) are rotated in Euclidean 4-space with respect to each other, but there are no metric distortions (no Lorentz transformations) between your proper Euclidean 4-space coordinate systems; you are both embedded in the same Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. Lorentz transformations are required only to convert between your respective proper Minkowski spacetime coordinate systems. So in this novel alternate view of relativity, every mass in the universe must be perpetually in motion at velocity <math>c</math> through Euclidean 4-space, along with all the masses in its vicinity that are going in (nearly) the same direction. The entire solar system, for example, must be translating in the fourth dimension at the "speed of light" <math>c</math>, although we do not notice it, since we are all moving in that same direction together. Acceleration of an object varies its direction of motion through 4-space, but never its velocity, which is invariant for all objects with mass. Two objects which are in motion relative to each other are both actually in motion at the same velocity <math>c</math>, but in at least slightly different directions.{{Efn|The angular divergence between two observer's motion vectors is proportional to their relative velocity: the more they diverge, the greater their relative velocity, up to the maximum divergence possible in the space. In Euclidean relativity all observers are in motion at velocity {{Math|c}} relative to universal Cartesian 4-coordinate space, so the maximum relative velocity between two observers is {{Math|2c}} when they are moving in exactly opposite directions in 4-space. This is not a contradiction of special relativity, which limits the maximum relative velocity between two observers to {{Math|c}}, it is the same measurement in different units. Special relativity measures all velocities in Minkowski spacetime (in a non-Euclidean 3-space). Euclidean relativity measures all velocities in Euclidean 4-space.}} In Einstein's relativity, the invariant <math>c</math> is the speed of light through 3-space. In Euclidean relativity, the invariant <math>c</math> is the speed of matter through 4-space! The speed of light through 3-space is also perceived as <math>c</math> by all observers, because they are each living in a moving 3-manifold that is translating through 4-space at velocity <math>c</math>. Despite their extreme differences in viewpoint, Einstein's relativity and Euclidean relativity are equivalent theories in complete agreement with each other, by definition. The two theories make exactly the same special relativity predictions of how observers in different inertial reference frames will perceive each other's motions in time and space. It is beyond the scope of this present paper to show how they also agree on the predictions of general relativity, but it is important to understand that our formulation of Euclidean relativity requires our acceptance of the experimentally verified findings of special relativity, general relativity and quantum mechanics. Our model and the standard model both describe the same geometric relations of space and time based on the same evidence, but as embedded in two very different universal host spaces: Euclidean 4-space versus Minkowski spacetime. In some instances our model provides a geometric explanation for physical phenomena where the standard model has none, as yet. An example is the two models' differing explanations for the gravitational coherence of galaxies: either their inertial motion at velocity <math>c</math>, or their possession of experimentally undetected dark matter. A more central example is our use of Coxeter's kinematics to explain the laws of relativistic motion geometrically. {{Efn|More generally, our model is concerned with group-theoretic properties of number elucidated by Coxeter and other geometers. ...cite Kappraff & Adamson's 2003 paper on The Relationship of the Cotangent Function to Special Relativity Theory, geometry and properties of number,{{Sfn|Kappraff & Adamson|2003|loc=Special Relativity Theory, Geometry and properties of number}} which shows how the Lorentz coefficient is a function of a deep geometric property of number{{Sfn|Kappraff & Adamson|2000|loc=A Fresh Look at Number}} discovered by Steinbach,{{Sfn|Steinbach|1997|loc=Golden Fields: A Case for the Heptagon}} by means of which the root formula of geometry in any Euclidean dimension, the Pythagorean theorem, may be derived solely in terms of the addition of polygon side lengths, without recourse to their products or squares. More generally, Steinbach found that in the relations among regular polytope chords, to add is to multiply; every chord is both the product (quotient) of a pair of chords and the sum (difference) of another pair of chords.}} Euclidean relativity is not even a fringe theory; no physicists or astronomers have adopted it. There are many good reasons why the revolutionary leap to a four orthogonal spatial dimensions viewpoint has not been taken, beginning with the universally observed fact that we can only construct three perpendiculars through a point in our immediate space, which appears to be resolutely 3-dimensional, not 4-dimensional. Euclidean relativity offers a nice geometric explanation of the reasons for the Lorentz transformations, but only at the cost of raising other mysteries, which have been difficult for its aficionados to explain. Another mystery is how light signals between observers in relative motion could "catch up" with the receiver moving on a diverging path through 4-space from the emitter. If both observers are already moving at <math>c</math> (on diverging paths), the propagation speed of light through 4-space between them would have to be greater than <math>c</math>. Euclidean relativity is a revolutionary theory indeed, in which <math>c</math> cannot possibly be the speed of light! We conclude that, for a theory of Euclidean 4-space to be physically viable (that is, for <math>\mathbb{R}^4</math> to be our real space and not merely an abstract mathematical space), the speed of light through Euclidean 4-space must be <math>c\prime = 2c</math>, with massless photons translating through 4-space at twice the speed of mass-carrying objects. Photons must translate the diagonal distance through 4-space along the long diameter of a unit 4-hypercube, in the same time that massive particles translate inertially along the edge (or the radius) of a unit 4-hypercube. This is conceivable in Euclidean 4-space (and in no other Euclidean space of any dimensionality) because the long diagonal of the unit 4-hypercube is the natural number <math>\sqrt{4}</math>. == An object's motion in space is the local product of its discrete self-reflections == Coxeter theory describes all the possible motions of an object in space as local functions of the object's discrete geometry (its shape). Coxeter observed that in a Euclidean space of any number of dimensions, any displacement of a geometric object from one place to another, and any rotation of the object from one orientation to another, can be broken down into the product of a number of discrete self-reflections. Any action of a polytope that transforms its position and orientation in space may be measured as a distinct sequence of self-reflections of the object in its own mirror surfaces. Therefore any motion of the object whatsoever may be precisely described as the object propagating itself through space by a discrete sequence of local self-reflections. This is a purely kinematic description of motion which does not give any account of forces acting on the object that cause it to move. Coxeter found that both changes in position (translations) and changes in orientation (rotations) can be broken down into the simplest of all displacements (self-reflections). A translation occurs when an object self-reflects twice, in two distinct mirror surfaces which are parallel to each other. A rotation also occurs when an object self-reflects twice, but in two distinct mirror surfaces which intersect each other. When a object self-reflects once, it turns itself inside out (it reverses its chirality), but in translations and rotations it self-reflects twice, preserving its chirality. Coxeter's laws of kinematics are a geometric counterpart to Newton's algebraic laws of motion in three dimensional Euclidean space. They are helpful because they can be understood as geometric pictures, which may help us to visualize the relationships between translation and rotation in classic Newtonian physics problems, such as the [[W:Kepler problem|Kepler problem]] of the motion of the planets.<ref>{{Cite book|last=Feynman|first=Richard|title=Feynman's Lost Lecture: The Motion of Planets Around the Sun|date=1996|publisher=W. W. Norton & Company|isbn=978-0393039184}}</ref> But they are also a revolutionary advance beyond Newton's laws, because Coxeter formulated them in Euclidean spaces of any number of dimensions. In particular, they give us geometric pictures of all the possible motions of objects in 4-dimensional Euclidean space: <blockquote>Every orthogonal transformation in 4-space is expressible as:<br> :<math>\mathrm{Q}^q \mathrm{R}^r \mathrm{T}^t</math><br> where <math>(2^q + r + t \le 4)</math>. Every displacement is either a double rotation <math>\mathrm{Q}^2</math>, or a screw-displacement <math>\mathrm{QT}</math> [where the rotation component <math>\mathrm{Q}</math> is a simple rotation, but the <math>\mathrm{QT}</math> is chiral like a <math>\mathrm{Q^2}</math>]. Every enantiomorphous transformation in 4-space (reversing chirality) is a <math>\mathrm{QRT}</math>.</blockquote> While this description should be understood as geometric pictures, some of the pictures may not be easy for us to visualize, since we have no physical experience in 4-dimensional space. Rotation (<math>\mathrm{Q}</math>), reflection (<math>\mathrm{R}</math>) and translation (<math>\mathrm{T}</math>) are direct dimensional analogues of what they are in three-dimensional space, but double rotation (<math>\mathrm{Q}^2</math>) is something new and unprecedented in our physical experience, because double rotations cannot occur until there are four or more dimensions of space in which to rotate. Four dimensional Euclidean space can accomodate no such thing as a <math>\mathrm{Q}^2\mathrm{T}</math>. A translating double rotation <math>\mathrm{Q}^2</math>, like a translating simple rotation <math>\mathrm{Q}</math>, is simply a screw translation <math>\mathrm{QT}</math>. That is the essence of the way the principle of relativity operates in Euclidean 4-space. An object which is double-rotating in its own proper inertial reference frame may be seen to be performing nothing more mysterious than a screw translation, when observed from an inertial reference frame from which the object is in relative translational motion. Of course, it is a screw translation in 4-space, which is more mysterious than a screw translation in our ordinary 3-space. In 3-space the orbit of a screw translation <math>\mathrm{QT}</math> or a simple rotation <math>\mathrm{Q}</math> lies on a great circle of an ordinary sphere (a 2-sphere), translating or stationary. In 4-space the orbit of a screw translation <math>\mathrm{QT}</math> or double rotation <math>\mathrm{Q}^2</math> lies on a great circle of a hypersphere (a 3-sphere), translating or stationary. Rotational great circles on hyperspheres are inherently more complex than the ordinary great circles on spheres we experience in 3-space. A point on the surface of an object rotating in 4-space may be in motion on two circles, in two [[W:Completely orthogonal|completely orthogonal]] rotation planes simultaneously. As each planar circle rotates like a wheel turning, its rotation plane also tilts sideways like a coin flipping, eventually into the completely orthogonal original rotation plane of the other circle, so that the circles have exchanged rotation planes. The product of these two simultaneous completely orthogonal circular motions gives a circular orbit to each moving point that does not lie in any stationary rotation plane; it is a circular helix that bends in all four dimensions rather than in just two dimensions, in either a left or right hand direction of helical curvature. Unlike ordinary planar circles, these 4-dimensional circles are inherently chiral, and their circumference is not <math>2\pi r</math>. But like ordinary planar great circles they are true geodesic circles. They may even be understood as dimensionally more circular than ordinary circles, which bend in only two dimensions. We refer to such 4-dimensional great circles as ''isoclines'', to distinguish them from ordinary 2-dimensional great circles in the plane. Their name comes from the fact that a point on a rigid 4-dimensional object undergoing [[W:SO(4)#Isoclinic rotations|isoclinic rotation]] traverses an isocline circle. In a universe which is real Euclidean four-dimensional space <math>\mathbb{R}^4</math>, wherein these motions occur only at the constant velocity <math>c</math>, there is a universal Cartesian 4-coordinate reference frame in which every rigid object in free fall is translating on a <math>\mathrm{QT}</math> at velocity <math>c</math>. That universal inertial reference frame is not the proper reference frame of any object or observer, wherein the object or observer is stationary and double-rotating, but it is a common reference frame of all observers. == Light propagates through 4-space at twice its apparent velocity <math>c</math>== Coxeter's laws of kinematics in 4-dimensional Euclidean space enumerate all possible displacements of objects with mass. We find there is an additional kind of displacement which applies only to massless particles such as photons. Light quanta (photons) translate through 4-space by 4-dimensional reflection <math>\mathrm{R}^4</math>, which may be seen as a double translation <math>\mathrm{T}^2</math>, a pure translation via two pairs of parallel reflections without any rotation component <math>\mathrm{Q}</math>. Objects with mass of any size (including atoms and their subatomic particles) are perpetually rotating and translating through 4-space by <math>\mathrm{QT}</math>, a screw translation of a rotating object, which is relativistically equivalent to a stationary isoclinic <math>\mathrm{Q^2}</math>, such as an atom in its own proper reference frame. A simple rotation <math>\mathrm{Q}</math> or simple translation <math>\mathrm{T}</math> is a double reflection <math>\mathrm{R^2}</math>, so a <math>\mathrm{QT}</math> or <math>\mathrm{Q^2}</math> is an <math>\mathrm{R^4}</math>, but not with the same group of reflection angles as a light signal <math>\mathrm{R^4}</math>. 2-dimensional objects reflect in a line, 3-dimensional objects reflect in a plane, and 4-dimensional objects reflect in a hyperplane (a 3-dimensional mirror). A translation <math>\mathrm{T = R^2}</math> is a double reflection in two parallel hyperplanes, and a rotation <math>\mathrm{Q = R^2}</math> is a double reflection in two intersecting hyperplanes, as in a <math>\mathrm{QT = R^4}</math> which is both at once. A double translation <math>\mathrm{T^2 = R^4}</math> is two double reflections in two pairs of parallel hyperplanes at once, a reflection in four hyperplane mirrors; it is all translation and no rotation. All the motion goes to translation, so the displacement goes twice as far as the simple translation <math>\mathrm{T}</math> in a <math>\mathrm{QT}</math>. A double translation <math>\mathrm{T^2 = R^4}</math> is the opposite of a double rotation <math>\mathrm{Q^2 = R^4}</math>, which is stationary but rotates twice as far as the simple rotation <math>\mathrm{Q}</math> in a <math>\mathrm{QT}</math>. The product of the two translations in a <math>\mathrm{T^2}</math> is a diagonal 4-space translation over the long diameter of the unit 4-hypercube, exactly twice the distance of a simple <math>\mathrm{T}</math> over the edge length (or radius) of the unit 4-hypercube. The [[w:Tesseract|4-hypercube (also known as the 8-cell or tesseract)]] is ''radially equilateral'', which means its edge length is equal to its radius, like the hexagon, so its long diameter (twice its radius) is exactly twice its edge length. The photon moves an equal distance in four orthogonal directions. By the four-dimensional Pythagorean theorem, each of those four distances is half the total distance the photon moves: one edge length (one radius) is half the total diagonal distance moved (the long diameter). That total movement is a double the unit-distance translation, but without any rotation component, so it cannot carry any mass with it. A <math>\mathrm{T^2}</math> cannot reposition a 4-polytope the way a <math>\mathrm{QT}</math> does, it can only reposition a quantum of energy that has no distinguishing rotational symmetry, such as a photon. That is the price light pays to move exactly twice as fast as matter.{{Efn| ...lensing of double translations <math>\mathrm{T^2 = R^4}</math> in more than two pairs of parallel planes at once...relationship to the frequency of light emitted and the coherence length of the wave packet...}} == Special relativity is Galilean relativity in Euclidean 4-space == Perspective effects known as the Lorentz transformations occur because each observer's proper 3-dimensional space is a moving curved 3-manifold embedded in flat Euclidean 4-space. The motion and curvature of their proper 3-space complicates sightline calculations for observers; they require Lorentz transformations to produce their 3-coordinate Cartesian coordinates of objects in the scene being observed. But if all four spatial dimensions are considered, no Lorentz transformations are required (or permitted) in correct scene construction in 4-coordinate space. Lorentz transformations are needed only when an observer wants to calculate a projection, that is, the shadow in a 3-coordinate space of how things will appear as a 3-dimensional scene (not how they really are in 4-space).{{Sfn|Yamashita|2023}} Space really has four orthogonal dimensions, and space and time behave there exactly as they do in a classical vector space, but bigger by one dimension. It is not necessary to combine 4-space with time in a unified spacetime to explain 4-dimensional perspective effects at high relative velocities, because Euclidean 4-space is already 4-dimensional, and those effects fall out naturally from the 4-dimensional Pythagorean theorem, exactly as ordinary visual perspective does in 3-space from the 3-dimensional Pythagorean theorem. Because one of the four spatial dimensions corresponds to an observer's direction of motion (in both space and proper time) at velocity <math>c</math>, and all observers and all scenes being observed are in motion (at this constant velocity) in their respective proper time directions, we observe perspective forshortenings in time as well as in one of our three spatial dimensions. In special relativity these perspective effects are reciprocal, precisely because they are only apparent, not actual, changes in size and duration. (However in general relativity, discussed below, the actual rate of all physical processes varies from field to field, and reference frame differences predicted by the theory are not reciprocal.) The Lorentz invariant of special relativity allows everyone to observe a constant speed of light, regardless of their motion relative to the light source. In Euclidean relativity we are able to state this intrinsic symmetry of nature more simply: <blockquote>''Time ticks at the same rate everywhere in space.''</blockquote> This formulation of special relativity at first appears to contradict general relativity, which insists that time (in the sense of the quantum rate of all physical processes) ticks more slowly deeper in a gravitational field. We shall see (below) that there is no contradiction between the universal rate of time at every place in space, and the relative rates of time in distinct gravitational fields, because in the Euclidean relativity formulation all gravitational fields are in motion. A gravitational field is not a place; it is better described as a state of motion of a set of objects, in particular their states of acceleration. As the objects are in perpetual motion, so also is their field. General relativity predicts differences in the perceived rates at which clocks run in distinct moving gravitational fields, just as special relativity predicts differences in perceived rates at which clocks run in distinct inertial reference frames, but we shall see that none of these differences imply that time (in the sense of the quantum rate of change) ever runs at any rate other than <math>c</math> in any stationary place in 4-space. None of the special relativity Lorentz effects (or as we shall see the general relativity effects) are beyond geometric explanation or paradoxical, but their geometric explanation requires Euclidean 4-space. The universe is unexpectedly strange to us in precisely the ways the Euclidean fourth dimension is strange to us; but that does hold many surprises. Euclidean 4-space is much more interesting and revealing than Euclidean 3-space, analogous to the way our 3-space is more deeply explanatory to us than it would be if we experienced it only as a 2-space with many folds and curves, as perhaps an ant does. The emergent properties of 4-space are hard for us to visualize because they lie so wholly beyond our physical experience, just as it was hard for our ancestors to imagine the earth as round like a ball. However, Euclidean spaces of successive dimensions are strictly analogous, and so higher dimensional spaces can be anticipated and explored: that is Schläfli's great discovery. Moreover dimensional analogy itself, like everything else in nature including all of physics, is a strict expression of relations between intrinsic group-theoretic symmetries: that is Noether's and Coxeter's great discovery. == General relativity is the geometry of gravity in Euclidean 4-space == The statement that the laws of special relativity hold to good approximation in freely falling (and non-rotating) reference frames is known as the [[W:Equivalence principle|Einstein equivalence principle]]. The weight experienced by an observer standing on the floor in a building on the surface of the earth is the same as the weight experienced by an observer standing on the floor in a spaceship in interstellar space accelerating at a rate of 32'/second/second. Both observers are experiencing an upwards acceleration at the same rate, which in their respective proper reference frames is measured as the weight of gravity, rather than as an accelerating motion (they are stationary in their proper reference frames). Einstein used this equivalence principle as the basis for his general theory of relativity, in much the same way he had used the constant velocity of light as the basis for his special theory of relativity. In general relativity the two accelerating observers occupy scenes which are relativistically equivalent, which means that although they can be distinguished (they have different measurements) in any reference frame from which they may both be observed, they have the same invariant geometry in all reference frames (they are the same phenomena), implying that there exists, for either scene, another reference frame from which it measures exactly like the other scene. Relativistically equivalent does not imply that there exists a single reference frame in which the two scenes are congruent (have the same measurements). It only means that they can be transformed into each other by a shift in point of view, because their invariant geometries (their measurements which are independent of point of view) are the same. Einstein's general theory of relativity describes that invariant geometry, for scenes in general, in spacetime. Our formulation of Euclidean relativity describes that invariant geometry, for scenes in general, in real Euclidean 4-dimensional space <math>\mathbb{R}^4</math>. An observer standing on the surface of the earth is accelerated at the rate of 32'/second/second. The observer and the earth are both stationary in their proper inertial reference frames (which are similar except for the rotation of the earth), so the observer's acceleration cannot be perceived as motion in either proper reference frame; it is perceptible there instead as the force of gravity. It is only perceptible as motion in some other reference frame in which the earth and the observer are both in motion, such as the universal common reference frame of Euclidean 4-coordinate space in which they are both in motion at velocity <math>c</math> on their respective distinct screw translations <math>QT</math>. In that universal common reference frame the observer's acceleration of 32'/second/second is the rate of change in the direction of his vector of translation <math>T</math> through 4-space. The velocity of that vector remains the constant <math>c</math> throughout; only his direction is changing. A change in the direction of a vector is a rotation <math>Q</math> of a translation <math>T</math>: a screw translation <math>QT</math>. A change in the direction of a vector is a rotation which is an acceleration. We can be precise about the units of measurement of this acceleration at atomic scale. In Coxeter's kinematics rotations of geometric objects occur in discrete increments called rotational displacements, with each distinct kind of rotation performing a characteristic number of its characteristic rotational displacement during a full revolution that returns the object to its starting orientation. There are many distinct kinds of rotation, each with its characteristic rotational displacement and number of displacements per revolution. The general rotation in 4-space is a double rotation <math>Q^2</math> distinguished by two distinct completely orthogonal angles through which the object turns in each rotational displacement. The angles determine not only the distance through which the object turns, but the characteristic trajectory of each point on the bounding surface of a rotating object, including the length of that trajectory before it closes into a circle when the object returns to its starting orientation. For any distinct kind of rotation, the circular trajectory is always an integer multiple of the characteristic rotational displacement, but the full circle may be greater than 360°. In 4-space rotational circles are not ordinary 2-dimensional circles that lie in the plane and have a 360° circumference, they are chiral 4-dimensional circles which we refer to as isoclines. Many distinct 4-space rotations of interest have isoclines of 720° circumference, or larger. In 4-space every object with mass moves on its distinct <math>QT</math> trajectory. Each rotational displacement <math>Q</math> is equivalent to a pair of reflection displacements in two mirror surfaces which intersect each other, at angles related to a distinct star polygon. Each translational displacement <math>T</math> is equivalent to a pair of reflection displacements in two mirror surfaces which lie parallel to each other. In both kinds of motion (rotation and translation) it is the rate at which these double-reflection displacements occur which is constant and which we measure as the velocity <math>c</math>. Every atom translates at velocity <math>c</math>, performing a large number of atomic scale translational displacements per second. Concurrently, the atom rotates at velocity <math>c</math>, performing the same large number of atomic scale rotational displacements per second. Although the number of displacements at atomic scale per unit time is the same universal constant <math>c</math> for all rotations and translations, distinct kinds of rotation revolve at distinct rates, because the number of rotational displacements per complete revolution and the circumference of the complete revolution are characteristics of each kind of rotation. The velocity at which each point on the surface of a rotating object moves, and the frequency of its rotational circling, are functions of the distinct rotation it is performing. However, they are not simple functions of <math>c</math> and the two defining angle parameters of the rotation, since they depend on the shape of the rotational isocline which is unique to the distinct rotation. Distinct rotations arise from distinct symmetry groups and each is its own mystery with its unique conservation law. The relationships between those distinct conservation laws are even more mysterious, and have been shown to be chaotic. Steinbach{{Sfn|Steinbach|1997}} discovered the Golden Fields family of ratios which govern distinct rotational displacements related to the regular star polygons at least up to the hendecagon {11}. Kappraff and Adamson{{Sfn|Kappraff|Adamson|2004}} further characterized the families of rotation functions and showed that they form an infinite number of periodic trajectories when operated on by the Mandelbrot operator. The inertial tendency of mass is to follow a geodesic. The inertial conservation law of gravity applies to all motions of objects with mass, rotations as well as translations. A translation <math>T</math> is the distinct simple rotation <math>Q</math> in which the characteristic angle of rotational displacement is 180°. Inertia is the tendency of objects with mass to conserve their angles of rotational displacement. In 4-space each object has two completely orthogonal angles of rotational displacement which are characteristic of the distinct rotation the object is performing. Inertia is the conservation of this distinct double rotation. In 4-coordinate Euclidean space the acceleration of an object with mass is a rotation of the object, a change to its direction, not a change to its constant velocity. Because the rate of atomic scale displacement events is the universal constant <math>c</math>, the rate of change of direction (the acceleration of the object) is a function of <math>c</math> and the distinct rotation's conservation law. A observer standing on the surface of the earth is performing a distinct double rotation characterized by two completely orthogonal angles of rotational displacement. The observer's acceleration of 32'/second/second is a function of <math>c</math> and the distinct rotation's conservation law, and a measurement of the rate of change of the observer's direction of motion through 4-space at velocity <math>c</math>. ... == Quantum mechanics is the rotational kinematics of Coxeter groups in Euclidean 4-space == Atoms are 4-polytopes, small round 4-dimensional objects, and their rotational symmetry is compounded from that of the six regular convex 4-polytopes. The geometry of the [[Polyscheme#Regular convex 4-polytopes|regular convex 4-polytopes]] is beyond the scope of this paper, but we begin with the proton, which we identify with the rotational symmetry of the 4-simplex polytope. Schläfli discovered that there exists a compound series of six regular convex 4-polytopes, dimensionally analogous to the compound series of five regular convex 3-polytopes, the Platonic solids. Polytopes in each series are naturally ordered by size, as a measure of content for the same radius, which is also a measure of their roundness, the number of their vertices. They form a series of increasingly round polytopes in which each is a compound of multiple instances of its predecessor (with one exception to this progression which will concern us later). The six regular convex 4-polytopes have 5, 8, 16, 24, 120, and 600 vertices respectively. They are called the 5-point 4-simplex, the 8-point 4-orthoplex, the 16-point 4-hypercube, the 24-point 24-cell, the 120-point 600-cell, and the 600-point 120-cell. The smallest regular convex 4-polytope is the [[5-cell|4-simplex]]. It has 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells. The regular 4-simplex is the configuration of 5 mutually equidistant points in Euclidean space, on the surface of a 3-sphere. The rotational geometry of the proton is that of the 4-simplex. The largest regular convex 4-polytope is called the [[120-cell|120-cell]]. It has 600 vertices and 1200 edges, because it is a regular compound of 120 completely disjoint 4-simplexes, rotated isoclinically with respect to each other on the surface of a 3-sphere. It is also a regular compound of every other regular convex 4-polytope, so that instances of every regular convex polytope which can exist in Euclidean 4-space are found within it. It is geometrically comprehensive, containing instances of the relationships among all these polytopes. The nucleus of a distinct atomic element contains a characteristic number of protons, its atomic number. The rotational symmetry of each element includes that of a compound of its distinct number of completely disjoint 4-simplex polytopes, that is, the symmetry of a sparsely populated 120-cell. Because only 120 4-simplexes will fit into a 120-cell, there are only 120 possible atomic elements. The exception to the rule that each 4-polytope in the series compounds to its successor is the 5-point 4-simplex, which does not compound to its successor the 8-point 4-orthoplex, nor to any other 4-polytope in the series except the largest, the 600-point 120-cell. None of the 4-polytopes in the series are divisible into an integral number of 4-simplexes except the 120-cell. Every 4-polytope in the series except the 4-simplex is divisible into an integral number of 4-orthoplexes. Thus there are two alternate integral building blocks of the 120-cell: the 5-point 4-simplex, and the 8-point 4-orthoplex. Only the 4-orthoplex will build the other three 4-polytopes in the series by simple compounding, although the symmetry group of the 4-simplex also has a foundational relationship to the symmetries of all the 4-polytopes in the series. We identify the neutron with the rotational symmetry of the 8-point 4-orthoplex. .... == Dimensional relativity == The formulation of Euclidean relativity based on Coxeter's kinetic law of <math>n</math>-dimensional congruent transformations in Euclidean space may be called ''dimensional relativity'', since it captures the theories of special and general relativity, and has its roots in dimensional analogy. Dimensional analogy is the exploration of [[w:Hermann_Grassmann#Mathematician|Hermann Grassmann's vector space principle]], in which space cannot be limited to any finite number of dimensions. The geometry of higher-dimensional space is accessible by reason of direct analogy, as [[w:Ludwig Schläfli|Ludwig Schläfli]] subsequently demonstrated, and by algebraic methods after [[W:William Kingdon Clifford|Clifford]]. By analogy to the surface of the earth, the bounding surface of a spherical region of <math>n</math>-dimensional Euclidean space is an <math>(n-1)</math>-sphere, a spherical space of one fewer dimensions than the <math>n</math>-ball of Euclidean space it surrounds. In dimensional relativity the sky is not a ceiling, but an infinite regress of alternating Euclidean and spherical <math>n</math>-spaces of increasing <math>n</math>, accessible from each observer's point of view. By dimensional analogy, each observer looks up into their own reference frame's regress of concentric alternating <math>n</math>-spaces. By the capacity for dimensional analogy which they possess, some observers see deeper into <math>n</math>-dimensional space than others. == Polycentric spherical relativity == An intelligent observer equipped with the principle of dimensional relativity may perceive the universe from any reference frame, not only from their own proper inertial reference frame in the Euclidean <math>n</math>-space universe in which they physically locate themself. We see that every observer may also properly view themself as stationary and the universe as an <math>n</math>-sphere with themself at the center observing it, perceptually equidistant from all points on its <math>n</math>-space surface, including their own physical location which is one of those surface points, distinguished to them but moving on the surface, and not the center of anything. This ''polycentric model'' of the universe is a further restatement of the principle of relativity, and of the [[W:Copernican principle|Copernican principle]] that observation is democratic: observers occupy representative viewpoints, not privileged monocentric positions. The polycentric model is compatible with Galileo's relativity of uniformly moving objects in ordinary space, Einstein's special relativity of inertial reference frames in 4-dimensional spacetime, Einstein's general relativity of all reference frames in non-Euclidean spacetime, and Coxeter's dimensional relativity of orthogonal group actions in Euclidean and spherical spaces of any number of dimensions. The polycentric model should be known as Thoreau's principle of ''spherical relativity'', since the first precise written statement of it appears in 1849, contemporaneous with and independent of Schlafli's discovery of higher dimensional space: <blockquote>The universe is a sphere whose center is wherever there is intelligence.{{Sfn|Thoreau|1849|p=349|ps=; "The universe is a sphere whose center is wherever there is intelligence." [Contemporaneous and independent of [[W:Ludwig Schlafli|Ludwig Schlafli]]'s pioneering work enumerating the complete set of regular polyschemes in any number of dimensions.]}}</blockquote> == Revolutions == The original Copernican revolution in 1543 displaced the center of the universe from the center of the earth to a point farther away, the center of the sun, with the earth performing a ''revolution'' around the sun, and the stars remaining on a fixed 2-sphere around the sun instead of around the earth. But this led inevitably to the recognition that the sun must be a star itself, not equidistant from all the stars, and the center of but one of many spheres, no monotheistic center at all. In 1600 [[W:Giordano Bruno|Giordano Bruno]] who first openly advocated these views was burned at the stake in Rome's [[W:Campo de' Fiori|Campo de' Fiori]] by the Catholic inquisition. In such fashion the Euclidean four-dimensional revolution, emerging three to five centuries later, initially lends itself to the big bang theory of a single origin of the whole universe, but leads inevitably to the recognition that all the galaxies need not be equidistant from a single origin in time, any more than all the stars lie in the same galaxy, equidistant from a single center in space. The expanding sphere of matter on the surface of which we find ourselves living is likely to be one of many 3-spheres expanding at velocity <math>c</math>, with their big bang origins occurring at distinct times and places in the ''n''-dimensional universe. The most distant objects we see when we look up at night may not all have the same origin in space and time. As recently as Copernicus we believed all the stars lay on a single 2-sphere embedded in Euclidean 3-space, with our sun at its center. During the enlightenment observers beginning with Bruno dispersed those stars into an infinite Euclidean 3-space, and relinquished our privileged position at the center. Then Einstein showed that our 3-space could not be Euclidean, that it must be a 3-manifold curved in every place in obedience to Newton's inverse-square law of gravity; and in a geometry related to time, at least, it must be 4-dimensional. In the present work we propose a theory of ''n''-dimensional real space and how light travels in it, a theory which says we can see into four orthogonal dimensions of Euclidean space, and so when we look up at night we see cosmological objects distributed in at least four dimensions of space around us, rather than all located in our own local 3-space. Looking still deeper and farther out, the universe viewed as a 4-sphere might, or might not, be expanding, and the most distant objects we see when we look up at night may, or may not, lie in our 4-dimensional hyperplane. Real space has ''n'' dimensions as [[w:Hermann_Grassmann|Grassmann]] and [[w:Schläfli|Schläfli]] showed, and we do not know how many dimensions the most distant objects we see may be distributed in. They need not all lie within the four spatial dimensions in which we have now learned to observe them, any more than they all lie in our local 3-space. When we look up at the objects that surround us, we have no immediate way of discerning how many dimensions beyond three the space we are looking into has. We know their distance from us primarily by virtue of how long it takes their light to reach us. We can measure their distribution around us in 3-space or 4-space, but that is simply how we choose to measure their positions, not an actual finding of how they are distributed. Even if it is now evident that they do not all lie in the same 3-space, how many more dimensions than three are needed to contain them? We observe that our 4-ball galaxy is embedded in Euclidean <math>n</math>-space as one of many 4-ball galaxies, each translating in a distinct direction through 4-space at velocity <math>c</math>, on more or less divergent paths from each other. But only closer observation will reveal evidence of whether everything we see lies in the same Euclidean 4-space, or if it is distributed in five or more dimensions, and how it is moving there. To remain in agreement with the theory of relativity, the Euclidean four-dimensional viewpoint requires that all mass-carrying objects be in motion in some distinct direction through 4-space at the constant velocity <math>c</math>, although the relative velocity between nearby objects is much smaller since they move on similar vectors, aimed away from a common origin point in the past. It is natural to expect that objects moving at constant velocity away from a common origin will be distributed roughly on the surface of an expanding 3-sphere. Although their paths away from their origin are not straight lines but various helical isoclines (screw translation spirals), nearby objects must be translating radially at the same average velocity, since the objects in a system (such as our solar system or galaxy) do not separate rapidly over time but remain in orbital formation. Each system's screw translation has two [[w:Completely_orthogonal|completely orthogonal]] components of motion in 4-space, an orbital rotation (such as the earth's around our sun) and a linear translation of the entire system at velocity <math>c</math> in the direction of the original 3-sphere's radial expansion (along the system's proper time vector). Of course the view from our solar system does not suggest that the 3-sphere enclosing each galaxy is expanding at this great rate from its galactic center. The standard theory has been that the entire observable universe is expanding from a single big bang origin in time, with galaxies forming later. While the Euclidean four-dimensional viewpoint lends itself to that standard theory, it also supports theories which require no single origin point in space and time. These are the voyages of starship Earth, to boldly go where no one has gone before. We made the jump to light speed long ago, in whatever big bang our atoms emerged from, and have never slowed down since. == Origins of the theory == Einstein himself may have been the first to imagine the universe as the three-dimensional surface of a four-dimensional Euclidean 3-sphere, in what was narrowly the first written articulation of a Euclidean 4-space universe, contemporaneous with the teen-aged Coxeter's (quoted below).{{Efn|[[W:William Rowan Hamilton|Hamilton]]'s algebra '''H''' of [[W:Quaternions|quaternions]] introduces (in 1843) the notion of a [[W:3-sphere|3-sphere]] embedded in a four-dimensional space, but Hamilton did not quite conceive of the quaternions as the Cartesian 4-coordinates of a Euclidean 4-space, and he did not describe our ordinary 3-space as embedded in Euclidean 4-space.}} Einstein did this as a [[W:Gedankenexperiment|gedankenexperiment]] in the context of investigating whether his equations of general relativity predicted an infinite or a finite universe, in his 1921 Princeton lecture. He invited us to imagine "A spherical manifold of three dimensions, embedded in a Euclidean continuum of four dimensions", but he was careful to disclaim parenthetically that "The aid of a fourth space dimension has naturally no significance except that of a mathematical artifice."<ref name=Einstein1923/> Informally, the Euclidean 4-dimensional theory of relativity may be given as a sort of reciprocal to that disclaimer of Einstein's: ''The Minkowski spacetime has naturally no significance except that of a mathematical artifice, as an aid to understanding how things will appear to an observer from their perspective; the foreshortenings, clock desynchronizations and other Lorentz transformations it predicts are proper calculations of actual perspective effects; but real space is a flat, Euclidean continuum of four orthogonal spatial dimensions, and in it the ordinary laws of a flat vector space hold (such as the Pythagorean theorem), and all sightline calculations work classically, so long as you consider all four spatial dimensions.'' The Euclidean theory of relativity differs from the special theory of relativity in ascribing to the physical universe a geometry of four or more orthogonal spatial dimensions, rather than the special theory's [[w:Minkowski spacetime|Minkowski spacetime]] geometry, in which three spatial dimensions and a time dimension comprise a unified non-Euclidean spacetime of four dimensions. Anco and Maghadam found that <math>SO(4)</math> breaks to <math>\mathbb{S}^3</math> (the 3-sphere) if the energy in a Kepler orbit is negative (an elliptical orbit), and to <math>H^3</math> (Minkowski spacetime) if the energy is positive (a hyperbolic orbit). Therefore the fact that the planets orbit on ellipses in our 3-space suggests that they orbit on a 3-sphere embedded in Euclidean 4-space. Thus we can conclude that <math>\mathbb{R}^4</math> is the actual geometry of our physical universe, and Minkowski spacetime is an abstraction of it; the reciprocal of Einstein's disclaimer is the more direct physical model. Of course spacetime remains a true and useful abstraction, although it must relinquish its privileged position as our exclusive conception of our place in space.{{Efn| ...origins of the Euclidean 4-space insight in the observations of Fock, Atkinson, Moser and others.}} The invention of Euclidean geometry of more than three spatial dimensions preceded Einstein's theories by more than fifty years, when it was worked out originally by the Swiss mathematician [[w:Ludwig Schläfli|Ludwig Schläfli]] before 1853.{{Sfn|Coxeter|1973|loc=§7. Ordinary Polytopes in Higher Space; §7.x. Historical remarks|pp=141-144|ps=; "Practically all the ideas in this chapter ... are due to Schläfli, who discovered them before 1853 — a time when Cayley, Grassmann and Möbius were the only other people who had ever conceived the possibility of geometry in more than three dimensions."}} Schläfli extended Euclid's geometry of one, two, and three dimensions in a direct way to four or more dimensions, generalizing the rules and terms of [[w:Euclidean geometry|Euclidean geometry]] to spaces of any number of dimensions. He coined the general term ''[[polyscheme]]'' to mean geometric forms of any number of dimensions, including two-dimensional [[w:polygon|polygons]], three-dimensional [[w:polyhedron|polyhedra]], four dimensional [[w:polychoron|polychora]], and so on, and in the process he found all of the [[w:Regular polytope|regular polyschemes]] that are possible in every dimension, including in particular the [[User:Dc.samizdat/Rotations#Sequence of regular 4-polytopes|six convex regular polychora]] which can be constructed in a Euclidean space of four dimensions (the set analogous to the five [[w:Platonic solid|Platonic solids]] the ancients found in three dimensional space). Thus Schläfli was the first to explore the fourth dimension, reveal its emergent geometric properties, and discover its astonishing regular objects. Because his work was only published posthumously in 1901, and remained almost completely unknown until Coxeter published [[w:Regular_Polytopes_(book)|Regular Polytopes]] in 1947, other researchers had more than fifty years to rediscover the regular polychora, and competing terms were coined; today [[w:Reinhold_Hoppe|Reinhold Hoppe]]'s word ''[[w:Polytope|polytope]]'' is the commonly used term for ''polyscheme.''{{Efn|[[w:Reinhold_Hoppe|Reinhold Hoppe]]'s German word ''polytop'' was introduced into English by [[W:Alicia Boole Stott|Alicia Boole Stott]], who like Hoppe and [[W:Thorold Gosset|Thorold Gosset]] rediscovered Schlafli's six regular convex 4-polytopes, with no knowledge of their prior discovery. Today Schläfli's original ''polyschem'', with its echo of ''schema'' as in the configurations of information structures, seems even more fitting in its generality than ''polytope'' -- perhaps analogously as information software (programming) is even more general than information hardware (computers).}} Because of this century-long lag in the dissemination of a scientific discovery, the regular 4-polytopes appear to have played no role at all, by any name, in the twentieth century discovery and evolution of the theories of relativity and quantum mechanics.{{Efn|One could argue that the higher-dimensional polytopes have barely influenced science or culture at all thus far. The physicist John Edward Huth's comprehensive deep dive through the history of cultural and scientific concepts of physical space, from ancient flatland models of the world through general relativity and quantum mechancs, shows exactly how we got to our present standard model of the universe, although it includes no mention of higher-dimensional Euclidean space.<ref>{{Cite book|last=Huth|first=John Edward|title=A Sense of Space: A local's guide to a flat earth, the edge of the cosmos, and other curious places|year=2025|publisher=University of Chicago Press}}</ref>}} == Boundaries == <blockquote>Ever since we discovered that Earth is round and turns like a mad-spinning top, we have understood that reality is not as it appears to us: every time we glimpse a new aspect of it, it is a deeply emotional experience. Another veil has fallen.<ref>{{Cite book|author=Carlo Rovelli|author-link=W:Carlo Rovelli|title=Seven Brief Lessons on Physics|publisher=Riverhead|year=2016|isbn=978-0399184413}}</ref></blockquote> Of course it is strange to consciously contemplate this world we inhabit, our planet, our solar system, our 3-sphere surface in our vast galaxy, as the merest film, a boundary no thicker in the places we inhabit than the diameter of an electron (though much thicker in some places we cannot inhabit, such as the planet's core and the interior of stars). But is not our unconscious traditional concept of the boundary of our world even stranger? Since the enlightenment we are accustomed to thinking that there is nothing beyond three dimensional space: no boundary, because there is nothing else to separate us from. But anyone who knows the [[polyscheme]]s Schläfli discovered knows that space can have any number of dimensions, and that there are fundamental objects and motions to be discovered in four dimensions that are even more various and interesting than those we can discover in three. The strange thing, when we think about it that way, is that there ''is'' a boundary between three and four dimensional space. ''Why'' can't we move (or apparently, see) in more than three dimensions? Why is our physical world apparently only three dimensional? Why would it have just ''three'' dimensions, and not four, or five, or the ''n'' dimensions that Schläfli mapped? What is the nature of the boundary which confines us to just three dimensions? We know that in Euclidean geometry the boundary between three and four dimensions is itself a spherical three dimensional space, so we should suspect that we are materially confined within such a curved boundary surface. Light need not be confined with us within our three dimensional boundary space. We would look directly through four dimensional space in our natural way, by receiving light signals that travelled through it to us on straight lines. In that case the reason we do not observe a fourth spatial dimension in our vicinity is that there are no nearby objects in it, just off our hyperplane in the wild. The nearest 4-ball object we can see with our eyes is our sun, which lies equatorially in our own hyperplane, though it bulges out of it above and below. But when we look up at the heavens, every pinprick of light we observe is itself a four-dimensional object off our hyperplane, and they are distributed all around us in four-dimensional space through which we gaze. We are four-dimensionally sighted creatures, even though our bodies are three-dimensional objects, thin as an atom in the fourth dimension. But that should not perplex us: we can see into three dimensional space even though our retinas are two dimensional objects, thin as a photoreceptor cell. Our unconscious provincial concept is that there is nothing else outside our three dimensional world: no boundary, because there is nothing else to separate us from. But Schläfli discovered something else: all the astonishing regular objects that exist in higher dimensions, which vastly extend our notions of the beauty and mystery of space itself, and the intrinsic spatial symmetries of our universe which geometry reveals. Space is more commodious than we thought it was, and permits previously unimagined objects and motions. So our provincial conception of our place in it now has the same kind of status as our idea that the sun rises in the east and passes overhead: it is mere appearance, not a true model and no longer a proper explanation. An inertial boundary is a proper explanation, be it ever so thin. And would a boundary of ''no'' thickness, a mere abstraction with no physical power to separate, be a more suitable explanation? We must look for a physically powerful explanation in the geometry of space itself, which general relativity properly associates with the gravitational or inertial force. <blockquote>The number of dimensions possessed by a figure is the number of straight lines each perpendicular to all the others which can be drawn on it. Thus a point has no dimensions, a straight line one, a plane surface two, and a solid three .... In space as we now know it only three lines can be imagined perpendicular to each other. A fourth line, perpendicular to all the other three would be quite invisible and unimaginable to us. We ourselves and all the material things around us probably possess a fourth dimension, of which we are quite unaware. If not, from a four-dimensional point of view we are mere geometrical abstractions, like geometrical surfaces, lines, and points are to us. But this thickness in the fourth dimension must be exceedingly minute, if it exists at all. That is, we could only draw an exceedingly small line perpendicular to our three perpendicular lines, length, breadth and thickness, so small that no microscope could ever perceive it. We can find out something about the conditions of the fourth and higher dimensions if they exist, without being certain that they do exist, by a process which I have termed "Dimensional Analogy."<ref>{{Citation|title=Dimensional Analogy|last=Coxeter|first=Donald|date=February 1923|publisher=Coxeter Fonds, University of Toronto Archives|authorlink=W:Harold Scott MacDonald Coxeter|series=|postscript=|work=}}</ref></blockquote> I believe, but I cannot prove, that we live in real space, which is Schläfli's Euclidean space of ''n'' analogous dimensions. As Grassmann showed first, space cannot be limited to any finite number of dimensions. There will always be higher dimensions to discover, first in imagination and then to explore physically, each an astonishing new enlightenment.<ref>{{Cite book|first=T.S.|last=Eliot|title=Little Gidding|volume=Four Quartets|year=1943}}<blockquote> :We shall not cease from exploration :And the end of all our exploring :Will be to arrive where we started :And know the place for the first time. :Through the unknown, remembered gate :When the last of earth left to discover :Is that which was the beginning; :At the source of the longest river :The voice of the hidden waterfall :And the children in the apple-tree :Not known, because not looked for :But heard, half-heard, in the stillness :Between two waves of the sea. </blockquote></ref> Schläfli discovered every regular convex polytope that exists in any dimension, but that was only the beginning of the story of dimensional analogy, not its end or even the end of its beginning. That project is forever beginning anew. Coxeter discovered that Schläfli's Euclidean space is an expression of intrinsic symmetries, as Noether discovered all of physics is. Kappraff and Adamson discovered that even the sequences of humble regular polygons have fractal complexity, so symmetry itself is chaotic, always reachable but forever beyond our complete grasp. We are on a wilderness project, and just at its beginning, but already we observe a Euclidean space of four or more orthogonal spatial dimensions in which all objects with mass move ceaselessly at the constant velocity <math>c</math>, the universal rate at which everything moves, quantum events occur, and each of our proper times evolves. I believe these facts explain the experimentally verified theories of relativity and quantum mechanics, by revealing their unified polycentric geometry, the same way the facts about Copernicus's heliocentric solar system explained the observed motions of the planets, by revealing the geometry of gravity to Kepler. But others will have to do the math, work out the physics, and perform experiments to prove or disprove all of this, because I don't have the mathematics; entirely unlike Coxeter and Einstein, I am illiterate in those languages. <blockquote> ::::::BEECH :Where my imaginary line :Bends square in woods, an iron spine :And pile of real rocks have been founded. :And off this corner in the wild, :Where these are driven in and piled, :One tree, by being deeply wounded, :Has been impressed as Witness Tree :And made commit to memory :My proof of being not unbounded. :Thus truth's established and borne out, :Though circumstanced with dark and doubt— :Though by a world of doubt surrounded. :::::::—''The Moodie Forester''<ref>{{Cite book|title=A Witness Tree|last=Frost|first=Robert|year=1942|series=The Poetry of Robert Frost|publisher=Holt, Rinehart and Winston|edition=1969|}}</ref> </blockquote> == Appendix: Sequence of regular 4-polytopes == {{Regular convex 4-polytopes|wiki=W:|columns=7}} == ... == {{Efn|In a ''[[W:William Kingdon Clifford|Clifford]] displacement'', also known as an [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinic rotation]], all the Clifford parallel{{Efn|name=Clifford parallels}} invariant planes are displaced in four orthogonal directions (two completely orthogonal planes) at once: they are rotated by the same angle, and at the same time they are tilted ''sideways'' by that same angle. A [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|Clifford displacement]] is [[W:8-cell#Radial equilateral symmetry|4-dimensionally diagonal]].{{Efn|name=isoclinic 4-dimensional diagonal}} Every plane that is Clifford parallel to one of the completely orthogonal planes (including in this case an entire Clifford parallel bundle of 4 hexagons, but not all 16 hexagons) is invariant under the isoclinic rotation: all the points in the plane rotate in circles but remain in the plane, even as the whole plane tilts sideways. All 16 hexagons rotate by the same angle (though only 4 of them do so invariantly). All 16 hexagons are rotated by 60 degrees, and also displaced sideways by 60 degrees to a Clifford parallel hexagon. All of the other central polygons (e.g. squares) are also displaced to a Clifford parallel polygon 60 degrees away.|name=Clifford displacement}} {{Efn|It is not difficult to visualize four hexagonal planes intersecting at 60 degrees to each other, even in three dimensions. Four hexagonal central planes intersect at 60 degrees in the [[W:cuboctahedron|cuboctahedron]]. Four of the 24-cell's 16 hexagonal central planes (lying in the same 3-dimensional hyperplane) intersect at each of the 24-cell's vertices exactly the way they do at the center of a cuboctahedron. But the ''edges'' around the vertex do not meet as the radii do at the center of a cuboctahedron; the 24-cell has 8 edges around each vertex, not 12, so its vertex figure is the cube, not the cuboctahedron. The 8 edges meet exactly the way 8 edges do at the apex of a canonical [[W:cubic pyramid]|cubic pyramid]].{{Efn|name=24-cell vertex figure}}|name=cuboctahedral hexagons}} {{Efn|name=radially equilateral}} {{Efn|Eight {{sqrt|1}} edges converge in curved 3-dimensional space from the corners of the 24-cell's cubical vertex figure{{Efn|The [[W:vertex figure|vertex figure]] is the facet which is made by truncating a vertex; canonically, at the mid-edges incident to the vertex. But one can make similar vertex figures of different radii by truncating at any point along those edges, up to and including truncating at the adjacent vertices to make a ''full size'' vertex figure. Stillwell defines the vertex figure as "the convex hull of the neighbouring vertices of a given vertex".{{Sfn|Stillwell|2001|p=17}} That is what serves the illustrative purpose here.|name=full size vertex figure}} and meet at its center (the vertex), where they form 4 straight lines which cross there. The 8 vertices of the cube are the eight nearest other vertices of the 24-cell. The straight lines are geodesics: two {{sqrt|1}}-length segments of an apparently straight line (in the 3-space of the 24-cell's curved surface) that is bent in the 4th dimension into a great circle hexagon (in 4-space). Imagined from inside this curved 3-space, the bends in the hexagons are invisible. From outside (if we could view the 24-cell in 4-space), the straight lines would be seen to bend in the 4th dimension at the cube centers, because the center is displaced outward in the 4th dimension, out of the hyperplane defined by the cube's vertices. Thus the vertex cube is actually a [[W:cubic pyramid|cubic pyramid]]. Unlike a cube, it seems to be radially equilateral (like the tesseract and the 24-cell itself): its "radius" equals its edge length.{{Efn|The vertex cubic pyramid is not actually radially equilateral,{{Efn|name=radially equilateral}} because the edges radiating from its apex are not actually its radii: the apex of the [[W:cubic pyramid|cubic pyramid]] is not actually its center, just one of its vertices.}}|name=24-cell vertex figure}} {{Efn|The hexagons are inclined (tilted) at 60 degrees with respect to the unit radius coordinate system's orthogonal planes. Each hexagonal plane contains only ''one'' of the 4 coordinate system axes.{{Efn|Each great hexagon of the 24-cell contains one axis (one pair of antipodal vertices) belonging to each of the three inscribed 16-cells. The 24-cell contains three disjoint inscribed 16-cells, rotated 60° isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other (so their corresponding vertices are 120° {{=}} {{radic|3}} apart). A [[16-cell#Coordinates|16-cell is an orthonormal ''basis'']] for a 4-dimensional coordinate system, because its 8 vertices define the four orthogonal axes. In any choice of a vertex-up coordinate system (such as the unit radius coordinates used in this article), one of the three inscribed 16-cells is the basis for the coordinate system, and each hexagon has only ''one'' axis which is a coordinate system axis.|name=three basis 16-cells}} The hexagon consists of 3 pairs of opposite vertices (three 24-cell diameters): one opposite pair of ''integer'' coordinate vertices (one of the four coordinate axes), and two opposite pairs of ''half-integer'' coordinate vertices (not coordinate axes). For example: {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,{{spaces|2}}1,{{spaces|2}}0) {{indent|5}}({{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}({{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|5}}(–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}},–{{sfrac|1|2}}){{spaces|3}}(–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}},–{{sfrac|1|2}},{{spaces|2}}{{sfrac|1|2}}) {{indent|17}}({{spaces|2}}0,{{spaces|2}}0,–1,{{spaces|2}}0)<br> is a hexagon on the ''y'' axis. Unlike the {{sqrt|2}} squares, the hexagons are actually made of 24-cell edges, so they are visible features of the 24-cell.|name=non-orthogonal hexagons|group=}} {{Efn|Visualize the three [[16-cell]]s inscribed in the 24-cell (left, right, and middle), and the rotation which takes them to each other. [[24-cell#Reciprocal constructions from 8-cell and 16-cell|The vertices of the middle 16-cell lie on the (w, x, y, z) coordinate axes]];{{Efn|name=six orthogonal planes of the Cartesian basis}} the other two are rotated 60° [[W:Rotations in 4-dimensional Euclidean space#Isoclinic rotations|isoclinically]] to its left and its right. The 24-vertex 24-cell is a compound of three 16-cells, whose three sets of 8 vertices are distributed around the 24-cell symmetrically; each vertex is surrounded by 8 others (in the 3-dimensional space of the 4-dimensional 24-cell's surface), the way the vertices of a cube surround its center.{{Efn|name=24-cell vertex figure}} The 8 surrounding vertices (the cube corners) lie in other 16-cells: 4 in the other 16-cell to the left, and 4 in the other 16-cell to the right. They are the vertices of two tetrahedra inscribed in the cube, one belonging (as a cell) to each 16-cell. If the 16-cell edges are {{radic|2}}, each vertex of the compound of three 16-cells is {{radic|1}} away from its 8 surrounding vertices in other 16-cells. Now visualize those {{radic|1}} distances as the edges of the 24-cell (while continuing to visualize the disjoint 16-cells). The {{radic|1}} edges form great hexagons of 6 vertices which run around the 24-cell in a central plane. ''Four'' hexagons cross at each vertex (and its antipodal vertex), inclined at 60° to each other.{{Efn|name=cuboctahedral hexagons}} The [[24-cell#Hexagons|hexagons]] are not perpendicular to each other, or to the 16-cells' perpendicular [[24-cell#Squares|square central planes]].{{Efn|name=non-orthogonal hexagons}} The left and right 16-cells form a tesseract.{{Efn|Each pair of the three 16-cells inscribed in the 24-cell forms a 4-dimensional [[W:tesseract|hypercube (a tesseract or 8-cell)]], in [[24-cell#Relationships among interior polytopes|dimensional analogy]] to the way two tetrahedra form a cube: the two 8-vertex 16-cells are inscribed in the 16-vertex tesseract, occupying its alternate vertices. The third 16-cell does not lie within the tesseract; its 8 vertices protrude from the sides of the tesseract, forming a cubic pyramid on each of the tesseract's cubic cells. The three pairs of 16-cells form three tesseracts.{{Efn|name=three 8-cells}} The tesseracts share vertices, but the 16-cells are completely disjoint.{{Efn|name=completely disjoint}}|name=three 16-cells form three tesseracts}} Two 16-cells have vertex-pairs which are one {{radic|1}} edge (one hexagon edge) apart. But a [[24-cell#Simple rotations|''simple'' rotation]] of 60° will not take one whole 16-cell to another 16-cell, because their vertices are 60° apart in different directions, and a simple rotation has only one hexagonal plane of rotation. One 16-cell ''can'' be taken to another 16-cell by a 60° [[24-cell#Isoclinic rotations|''isoclinic'' rotation]], because an isoclinic rotation is [[3-sphere]] symmetric: four [[24-cell#Clifford parallel polytopes|Clifford parallel hexagonal planes]] rotate together, but in four different rotational directions,{{Efn|name=Clifford displacement}} taking each 16-cell to another 16-cell. But since an isoclinic 60° rotation is a ''diagonal'' rotation by 60° in ''two'' completely orthogonal directions at once,{{Efn|name=isoclinic geodesic}} the corresponding vertices of the 16-cell and the 16-cell it is taken to are 120° apart: ''two'' {{radic|1}} hexagon edges (or one {{radic|3}} hexagon chord) apart, not one {{radic|1}} edge (60°) apart as in a simple rotation.{{Efn|name=isoclinic 4-dimensional diagonal}} By the [[W:chiral|chiral]] diagonal nature of isoclinic rotations, the 16-cell ''cannot'' reach the adjacent 16-cell by rotating toward it; it can only reach the 16-cell ''beyond'' it. But of course, the 16-cell beyond the 16-cell to its right is the 16-cell to its left. So a 60° isoclinic rotation ''will'' take every 16-cell to another 16-cell: a 60° ''right'' isoclinic rotation will take the middle 16-cell to the 16-cell we may have originally visualized as the ''left'' 16-cell, and a 60° ''left'' isoclinic rotation will take the middle 16-cell to the 16-cell we visualized as the ''right'' 16-cell. (If so, that was our error in visualization; the 16-cell to the "left" is in fact the one reached by the left isoclinic rotation, as that is the only sense in which the two 16-cells are left or right of each other.)|name=three isoclinic 16-cells}} {{Efn|In a double rotation each vertex can be said to move along two completely orthogonal great circles at the same time, but it does not stay within the central plane of either of those original great circles; rather, it moves along a helical geodesic that traverses diagonally between great circles. The two completely orthogonal planes of rotation are said to be ''invariant'' because the points in each stay in the plane ''as the plane moves'', tilting sideways by the same angle that the other plane rotates.|name=helical geodesic}} {{Efn|A point under isoclinic rotation traverses the diagonal{{Efn|name=isoclinic 4-dimensional diagonal}} straight line of a single '''isoclinic geodesic''', reaching its destination directly, instead of the bent line of two successive '''simple geodesics'''. A '''[[W:geodesic|geodesic]]''' is the ''shortest path'' through a space (intuitively, a string pulled taught between two points). Simple geodesics are great circles lying in a central plane (the only kind of geodesics that occur in 3-space on the 2-sphere). Isoclinic geodesics are different: they do ''not'' lie in a single plane; they are 4-dimensional [[W:helix|spirals]] rather than simple 2-dimensional circles.{{Efn|name=helical geodesic}} But they are not like 3-dimensional [[W:screw threads|screw threads]] either, because they form a closed loop like any circle (after ''two'' revolutions). Isoclinic geodesics are ''4-dimensional great circles'', and they are just as circular as 2-dimensional circles: in fact, twice as circular, because they curve in a circle in two completely orthogonal directions at once.{{Efn|Isoclinic geodesics are ''4-dimensional great circles'' in the sense that they are 1-dimensional geodesic ''lines'' that curve in 4-space in two completely orthogonal planes at once. They should not be confused with ''great 2-spheres'',{{Sfn|Stillwell|2001|p=24}} which are the 4-dimensional analogues of 2-dimensional great circles (great 1-spheres).}} These '''isoclines''' are geodesic 1-dimensional lines embedded in a 4-dimensional space. On the 3-sphere{{Efn|All isoclines are geodesics, and isoclines on the 3-sphere are circles (curving equally in each dimension), but not all isoclines on 3-manifolds in 4-space are circles.}} they always occur in [[W:chiral|chiral]] pairs and form a pair of [[W:Villarceau circle|Villarceau circle]]s on the [[W:Clifford torus|Clifford torus]],{{Efn|Isoclines on the 3-sphere occur in non-intersecting chiral pairs. A left and a right isocline form a [[W:Hopf link|Hopf link]] called the {1,1} torus knot{{Sfn|Dorst|2019|loc=§1. Villarceau Circles|p=44|ps=; "In mathematics, the path that the (1, 1) knot on the torus traces is also known as a [[W:Villarceau circle|Villarceau circle]]. Villarceau circles are usually introduced as two intersecting circles that are the cross-section of a torus by a well-chosen plane cutting it. Picking one such circle and rotating it around the torus axis, the resulting family of circles can be used to rule the torus. By nesting tori smartly, the collection of all such circles then form a [[W:Hopf fibration|Hopf fibration]].... we prefer to consider the Villarceau circle as the (1, 1) torus knot [a [[W:Hopf link|Hopf link]]] rather than as a planar cut [two intersecting circles]."}} in which ''each'' of the two linked circles traverses all four dimensions.}} the paths of the left and the right [[W:Rotations in 4-dimensional Euclidean space#Double rotations|isoclinic rotation]]. They are [[W:Helix|helices]] bent into a [[W:Möbius strip|Möbius loop]] in the fourth dimension, taking a diagonal [[W:Winding number|winding route]] twice around the 3-sphere through the non-adjacent vertices of a 4-polytope's [[W:Skew polygon#Regular skew polygons in four dimensions|skew polygon]].|name=isoclinic geodesic}} {{Efn|[[File:Hopf band wikipedia.png|thumb|150px|Two [[W:Clifford parallel|Clifford parallel]] great circles spanned by a twisted [[W:Annulus (mathematics)|annulus]].]][[W:Clifford parallel|Clifford parallel]]s are non-intersecting curved lines that are parallel in the sense that the perpendicular (shortest) distance between them is the same at each point. A double helix is an example of Clifford parallelism in ordinary 3-dimensional Euclidean space. In 4-space Clifford parallels occur as geodesic great circles on the [[W:3-sphere|3-sphere]].{{Sfn|Kim|Rote|2016|pp=8-10|loc=Relations to Clifford Parallelism}} Whereas in 3-dimensional space, any two geodesic great circles on the [[W:2-sphere|2-sphere]] will always intersect at two antipodal points, in 4-dimensional space not all great circles intersect. In 4-polytopes various discrete sets of Clifford parallel non-intersecting geodesic great circles can be found on the 3-sphere. They spiral around each other in [[W:Hopf fibration|Hopf fiber bundles]] which visit all the vertices just once. The simplest example is that six mutually orthogonal great circles can be drawn on the 3-sphere, as three pairs of completely orthogonal great circles, intersecting at 8 points defining a [[16-cell]]. Each completely orthogonal pair of circles is Clifford parallel. They cannot intersect at all, because they lie in planes which intersect at only one point: the center of the 16-cell. Because they are perpendicular and share a common center, the two circles are obviously not parallel and separate in the usual way of parallel circles in 3 dimensions; rather they are connected like adjacent links in a chain, each passing through the other without intersecting at any points, forming a [[W:Hopf link|Hopf link]]|name=Clifford parallels}} {{Efn|In the 24-cell each great square plane is completely orthogonal{{Efn|name=completely orthogonal planes}} to another great square plane, and each great hexagon plane is completely orthogonal to a plane which intersects only two vertices: a great [[W:digon|digon]] plane.|name=pairs of completely orthogonal planes}} {{Efn|In an [[24-cell#Isoclinic rotations|isoclinic rotation]], each point anywhere in the 4-polytope moves an equal distance in four orthogonal directions at once, on a [[W:8-cell#Radial equilateral symmetry|4-dimensional diagonal]]. The point is displaced a total [[W:Pythagorean distance]] equal to the square root of four times the square of that distance. For example, when the unit-radius 24-cell rotates isoclinically 60° in a hexagon invariant plane and 60° in its completely orthogonal invariant plane,{{Efn|name=pairs of completely orthogonal planes}} all vertices are displaced to a vertex two edge lengths away. Each vertex is displaced to another vertex {{radic|3}} (120°) away, moving {{radic|3/4}} in four orthogonal coordinate directions.|name=isoclinic 4-dimensional diagonal}} {{Efn|Each square plane is isoclinic (Clifford parallel) to five other square planes but completely orthogonal{{Efn|name=completely orthogonal planes}} to only one of them.{{Efn|name=Clifford parallel squares in the 16-cell and 24-cell}} Every pair of completely orthogonal planes has Clifford parallel great circles, but not all Clifford parallel great circles are orthogonal (e.g., none of the hexagonal geodesics in the 24-cell are mutually orthogonal).|name=only some Clifford parallels are orthogonal}} {{Efn|In the [[16-cell#Rotations|16-cell]] the 6 orthogonal great squares form 3 pairs of completely orthogonal great circles; each pair is Clifford parallel. In the 24-cell, the 3 inscribed 16-cells lie rotated 60 degrees isoclinically{{Efn|name=isoclinic 4-dimensional diagonal}} with respect to each other; consequently their corresponding vertices are 120 degrees apart on a hexagonal great circle. Pairing their vertices which are 90 degrees apart reveals corresponding square great circles which are Clifford parallel. Each of the 18 square great circles is Clifford parallel not only to one other square great circle in the same 16-cell (the completely orthogonal one), but also to two square great circles (which are completely orthogonal to each other) in each of the other two 16-cells. (Completely orthogonal great circles are Clifford parallel, but not all Clifford parallels are orthogonal.{{Efn|name=only some Clifford parallels are orthogonal}}) A 60 degree isoclinic rotation of the 24-cell in hexagonal invariant planes takes each square great circle to a Clifford parallel (but non-orthogonal) square great circle in a different 16-cell.|name=Clifford parallel squares in the 16-cell and 24-cell}} {{Efn|In 4 dimensional space we can construct 4 perpendicular axes and 6 perpendicular planes through a point. Without loss of generality, we may take these to be the axes and orthogonal central planes of a (w, x, y, z) Cartesian coordinate system. In 4 dimensions we have the same 3 orthogonal planes (xy, xz, yz) that we have in 3 dimensions, and also 3 others (wx, wy, wz). Each of the 6 orthogonal planes shares an axis with 4 of the others, and is ''completely orthogonal'' to just one of the others: the only one with which it does not share an axis. Thus there are 3 pairs of completely orthogonal planes: xy and wz intersect only at the origin; xz and wy intersect only at the origin; yz and wx intersect only at the origin.|name=six orthogonal planes of the Cartesian basis}} {{Efn|Two planes in 4-dimensional space can have four possible reciprocal positions: (1) they can coincide (be exactly the same plane); (2) they can be parallel (the only way they can fail to intersect at all); (3) they can intersect in a single line, as two non-parallel planes do in 3-dimensional space; or (4) '''they can intersect in a single point'''{{Efn|To visualize how two planes can intersect in a single point in a four dimensional space, consider the Euclidean space (w, x, y, z) and imagine that the w dimension represents time rather than a spatial dimension. The xy central plane (where w{{=}}0, z{{=}}0) shares no axis with the wz central plane (where x{{=}}0, y{{=}}0). The xy plane exists at only a single instant in time (w{{=}}0); the wz plane (and in particular the w axis) exists all the time. Thus their only moment and place of intersection is at the origin point (0,0,0,0).|name=how planes intersect at a single point}} (and they ''must'', if they are completely orthogonal).{{Efn|Two flat planes A and B of a Euclidean space of four dimensions are called ''completely orthogonal'' if and only if every line in A is orthogonal to every line in B. In that case the planes A and B intersect at a single point O, so that if a line in A intersects with a line in B, they intersect at O.{{Efn|name=six orthogonal planes of the Cartesian basis}}|name=completely orthogonal planes}}|name=how planes intersect}} {{Efn|Polytopes are '''completely disjoint''' if all their ''element sets'' are disjoint: they do not share any vertices, edges, faces or cells. They may still overlap in space, sharing 4-content, volume, area, or lineage.|name=completely disjoint}} {{Efn|If the [[W:Euclidean distance|Pythagorean distance]] between any two vertices is {{sqrt|1}}, their geodesic distance is 1; they may be two adjacent vertices (in the curved 3-space of the surface), or a vertex and the center (in 4-space). If their Pythagorean distance is {{sqrt|2}}, their geodesic distance is 2 (whether via 3-space or 4-space, because the path along the edges is the same straight line with one 90<sup>o</sup> bend in it as the path through the center). If their Pythagorean distance is {{sqrt|3}}, their geodesic distance is still 2 (whether on a hexagonal great circle past one 60<sup>o</sup> bend, or as a straight line with one 60<sup>o</sup> bend in it through the center). Finally, if their Pythagorean distance is {{sqrt|4}}, their geodesic distance is still 2 in 4-space (straight through the center), but it reaches 3 in 3-space (by going halfway around a hexagonal great circle).|name=Geodesic distance}} {{Efn|Two angles are required to fix the relative positions of two planes in 4-space.{{Sfn|Kim|Rote|2016|p=7|loc=§6 Angles between two Planes in 4-Space|ps=; "In four (and higher) dimensions, we need two angles to fix the relative position between two planes. (More generally, ''k'' angles are defined between ''k''-dimensional subspaces.)"}} Since all planes in the same [[W:hyperplane|hyperplane]] are 0 degrees apart in one of the two angles, only one angle is required in 3-space. Great hexagons in different hyperplanes are 60 degrees apart in ''both'' angles. Great squares in different hyperplanes are 90 degrees apart in ''both'' angles (completely orthogonal){{Efn|name=completely orthogonal planes}} or 60 degrees apart in ''both'' angles.{{Efn||name=Clifford parallel squares in the 16-cell and 24-cell}} Planes which are separated by two equal angles are called ''isoclinic''. Planes which are isoclinic have [[W:Clifford parallel|Clifford parallel]] great circles.{{Efn|name=Clifford parallels}} A great square and a great hexagon in different hyperplanes are neither isoclinic nor Clifford parallel; they are separated by a 90 degree angle ''and'' a 60 degree angle.|name=two angles between central planes}} {{Efn|The 24-cell contains 3 distinct 8-cells (tesseracts), rotated 60° isoclinically with respect to each other. The corresponding vertices of two 8-cells are {{radic|3}} (120°) apart. Each 8-cell contains 8 cubical cells, and each cube contains four {{radic|3}} chords (its long diagonals). The 8-cells are not completely disjoint{{Efn|name=completely disjoint}} (they share vertices), but each cube and each {{radic|3}} chord belongs to just one 8-cell. The {{radic|3}} chords joining the corresponding vertices of two 8-cells belong to the third 8-cell.|name=three 8-cells}} {{Efn|Departing from any vertex V<sub>0</sub> in the original great hexagon plane of isoclinic rotation P<sub>0</sub>, the first vertex reached V<sub>1</sub> is 120 degrees away along a {{radic|3}} chord lying in a different hexagonal plane P<sub>1</sub>. P<sub>1</sub> is inclined to P<sub>0</sub> at a 60° angle.{{Efn|P<sub>0</sub> and P<sub>1</sub> lie in the same hyperplane (the same central cuboctahedron) so their other angle of separation is 0.{{Efn|name=two angles between central planes}}}} The second vertex reached V<sub>2</sub> is 120 degrees beyond V<sub>1</sub> along a second {{radic|3}} chord lying in another hexagonal plane P<sub>2</sub> that is Clifford parallel to P<sub>0</sub>.{{Efn|P<sub>0</sub> and P<sub>2</sub> are 60° apart in ''both'' angles of separation.{{Efn|name=two angles between central planes}} Clifford parallel planes are isoclinic (which means they are separated by two equal angles), and their corresponding vertices are all the same distance apart. Although V<sub>0</sub> and V<sub>2</sub> are ''two'' {{radic|3}} chords apart{{Efn|V<sub>0</sub> and V<sub>2</sub> are two {{radic|3}} chords apart on the geodesic path of this rotational isocline, but that is not the shortest geodesic path between them. In the 24-cell, it is impossible for two vertices to be more distant than ''one'' {{radic|3}} chord, unless they are antipodal vertices {{radic|4}} apart.{{Efn|name=Geodesic distance}} V<sub>0</sub> and V<sub>2</sub> are ''one'' {{radic|3}} chord apart on some other isocline. More generally, isoclines are geodesics because the distance between their ''adjacent'' vertices is the shortest distance between those two vertices, but a path between two vertices along a geodesic is not always the shortest distance between them (even on ordinary great circle geodesics).}}, P<sub>0</sub> and P<sub>2</sub> are just one {{radic|1}} edge apart (at every pair of ''nearest'' vertices).}} (Notice that V<sub>1</sub> lies in both intersecting planes P<sub>1</sub> and P<sub>2</sub>, as V<sub>0</sub> lies in both P<sub>0</sub> and P<sub>1</sub>. But P<sub>0</sub> and P<sub>2</sub> have ''no'' vertices in common; they do not intersect.) The third vertex reached V<sub>3</sub> is 120 degrees beyond V<sub>2</sub> along a third {{radic|3}} chord lying in another hexagonal plane P<sub>3</sub> that is Clifford parallel to P<sub>1</sub>. The three {{radic|3}} chords lie in different 8-cells.{{Efn|name=three 8-cells}} V<sub>0</sub> to V<sub>3</sub> is a 360° isoclinic rotation.|name=360 degree geodesic path visiting 3 hexagonal planes}} {{Sfn|Mamone, Pileio & Levitt|2010|loc=§4.5 Regular Convex 4-Polytopes|pp=1438-1439|ps=; the 24-cell has 1152 symmetry operations (rotations and reflections) as enumerated in Table 2, symmetry group 𝐹<sub>4</sub>.}} ==Notes== {{Regular convex 4-polytopes Notelist|wiki=W:}} ==Citations== {{Regular convex 4-polytopes Reflist|wiki=W:}} ==References== {{Refbegin}} * {{Cite book|title=A Week on the Concord and Merrimack Rivers|last=Thoreau|first=Henry David|author-link=W:Thoreau|publisher=James Munroe and Company|year=1849|isbn=|location=Boston|ref={{SfnRef|Thoreau|1849}}}} * {{Cite journal|title=Theoretical Evidence for Principles of Special Relativity Based on Isotropic and Uniform Four-Dimensional Space|first=Takuya|last=Yamashita|date=25 May 2023|doi= 10.20944/preprints202305.1785.v1|journal=Preprints|volume=2023|issue=2023051785|url=https://doi.org/10.20944/preprints202305.1785.v1|ref={{SfnRef|Yamashita|2023}}}} * {{Cite_arXiv | arxiv=2512.02903v2 | date=2 January 2026 | title=Symmetry transformation group arising from the Laplace–Runge–Lenz vector | first1=Stephen C. | last1=Anco | first2=Mahdieh Gol Bashmani | last2=Moghadam | class=math-ph}} === [[Polyscheme|Polyschemes]] === {{Regular convex 4-polytopes Refs|wiki=W:}} {{Refend}} 1l1yyjodnpyplp1akdlwi2ulql2j9or 1 298415 2844284 2841044 2026-11-03T17:49:47Z Diaz Chas 3109441 /* Improvements */ new section 2844284 wikitext text/x-wiki ==Initial suggestions== {{ping|Casey Coulton}} Thanks for tackling this topic. Some initial suggestions: * Check out other related chapters and see how you can build on, link to, and integrate with that work: **[[:Category:Motivation and emotion/Book/Dark triad]] * What psychological theories can help to understand? What is the main research in this area? Let me know if I can do anything else as you go along. Sincerely, James -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 08:10, 6 August 2023 (UTC) == Heading casing == {| style="float: center; background:transparent;color:inherit;" |- | [[File:Crystal Clear app ktip.svg|48px|left]] | {{#if:Mim0502|Hi [[User:Mim0502|Mim0502]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:<br> <big><big>Self-determination theory</big></big> rather than <big><big>Self-Determination Theory</big></big> Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 07:26, 6 September 2026 (UTC) |} <!-- Official topic development feedback --> {{METF/2026 |1= <!-- Title --> # Title and subtitle are correctly worded and use [[w:Letter case#Sentence casing|sentence casing]] |2= <!-- Headings --> # See earlier comment about [[#heading casing|heading casing]] <!-- Heading structure --> <!-- 2-level --> # Promising [[Motivation and emotion/Assessment/Major project/Structure|3-level heading structure]] – could benefit from further development and/or refinement # The structure is overly complicated; consider simplifying to 2 levels # The structure is overly broad in scope; consider simplifying to focus on the sub-title (i.e., focus in on MM, not Machiavellianism more broadly) # Reduce the emphasis on historical/philosophical roots; focus on the motivational role of M based on contemporary psychology <!-- Alignment with focus questions --> # Excellent alignment between sub-title, focus questions, and heading structure <!-- GenAI ---> # Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity. |3= <!-- Overview--> # Basic <!-- Scenario --> # Target an international audience; make the scenario more relatable to a wider audience # Select an image that relates to the scenario <!-- Description --> # Simplify/abbreviate the description of the problem/topic. Move detail into subsequent sections. # Focus questions are aligned with sub-title and top-level headings # Concentrate the FQs less on background info and more on the contemporary psychological understanding of MM # By way of example, I've rewritten FQ2 towards being more aligned with the sub-title |4= <!-- Key points--> <!-- Overall --> # Promising development # Provide more detailed edit summaries <!-- Scope --> # It may be that all planned aspects cannot be reasonably covered within the book chapter word count, so be selective and concentrate on key aspects that address the question in the sub-title <!-- Citations --> # Tip: Rather than starting with an author name and citation, start with the more interesting part (i.e., the substance) and put the citation at the end or mid-way through the sentence <!-- Conclusion --> # Conclusion is underway # What are the practical, take-home messages? (address the focus questions) |5= <!-- Figure --> # Relevant figure(s) are presented and captioned <!-- Caption --> # Figure caption(s) could better explain how the image connects to key points being made in the main text # Figure caption(s) should include '''Figure X'''. [bold] ... <!-- Cite --> # Cite each figure at least once in the main text using APA style (e.g., see Figure 1) |6= <!-- Learning feature --> <!-- Interwiki links ---> # Two in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]]. Also embed links to [[Motivation and emotion/Book|book chapters]]. <!-- Scenarios/examples/case studies --> # Consider use of more scenarios/examples/case studies <!-- Quiz --> # Consider including quiz question(s) about the take-home messages <!-- Tables --> # Also consider using tables to summarise key information |7= <!-- References --> <!-- Overall --> # Very good to excellent # It is likely that you may need to be selective to focus on the most relevant citations to fit within the book chapter word count <!-- Systematic reviews --> # Well done on identifying relevant systematic reviews and/or meta-analyses <!-- Citations --> # Only include references which have been accessed and read <!-- APA style --> # Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]: ## [[Help:Wikitext quick reference|italicisation]] |8= <!-- Resources --> <!-- See also --> # See also ## To be developed (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) <!-- External links --> # External links ## To be developed (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) ## Link to the most relevant external resources about this topic |9= <!-- User page --> # Basic but effective <!-- Description about self --> # Brief description about self – consider expanding <!-- Links to profile(s) --> # Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks. <!-- Link to book chapter --> # A link to the book chapter is provided |10= <!-- Social contribution --> # Very good – two out of three types of contributions made with direct link(s) to evidence. The other type of contribution is making: # One out of three types of contributions made with direct link(s) to evidence. The other types of contribution are making: #* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]] # To add direct links to evidence of Wikiversity edits or comments: view the page history, select the version of the page before and after your contributions, click "compare selected revisions", and paste the comparison URL on your user page. For more info, see [[Motivation and emotion/Assessment/Chapter#Making and summarising social contributions|Making and summarising social contributions]]. This was demonstrated in [[Motivation and emotion/Tutorials/Wiki editing#Social contributions|Tutorial 2]]. }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 07:26, 6 September 2026 (UTC) <!-- Official book chapter feedback --> {{MEBF/2026 |1= <!-- Overall comments... --> # This is a very good chapter that makes excellent use of psychological theory and reasonably good use of research to address a real-world phenomenon or problem # The main area(s) for potential improvement: #* more detailed review of the best psychological research about the topic #* reduce and acknowledged genAI use—express more in your own words <!-- Overall - Edit summaries --> #* [[w:Help:Edit summary|Edit summaries]] are used to clearly communicated the changes made in most or all edits, but lack acknowledgement of likely [[Motivation and emotion/Assessment/Using generative AI|GenAI use]] <!-- Overall – Citations --> # Very good use of academic, peer-reviewed citations to support claims # Only cite sources that you consult <!-- Overall – Copyedits --> # For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FMachiavellian_motivation&diff=2841040&oldid=2839221 these copyedits] |2= <!-- Overview – Comments... --> # Very good to excellent <!-- Overview – Scenario --> <!-- Overview – Scenario - Description --> # Engaging scenario or case study <!-- Overview – Scenario - Figure --> # Figure 1 is relevant to the scenario <!-- Overview – Scenario - Feature box --> # The scenario uses an appropriate feature box <!-- Overview – Explains problem --> # Clearly explains the psychological problem or phenomenon <!-- Overview – Focus questions --> # The focus questions are reasonably good but don't clearly align with the top-level headings |3= <!-- Theory comments... --> <!-- Theory – Breadth --> # Excellent—key theories are very well explained and applied # Although the chapter argues for M to be conceptualised as a spectrum, it often refers to Machiavellian individuals, implying a dispositional/typing perspective <!-- Theory – Builds on --> # Builds reasonably well on [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms <!-- Theory – Depth --> # Insightful depth is provided about key theory(ies) <!-- Theory – Tables/Figures/Lists --> # Very good use of tables, figures, and/or lists to clearly convey key theoretical information <!-- Theory – Citations --> # In some places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological theory about the topic. <!-- Theory – Examples --> # Reasonably good use of examples to illustrate theoretical concepts |4= <!-- Research comments... --> <!-- Research – Key findings --> # Basic review of relevant research # Greater emphasis on systematic reviews and/or meta-analyses would be ideal # More detail about key studies would be ideal # In some places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological science about the topic. <!-- Research – Critical thinking --> # Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident # [[w:Critical thinking|Critical thinking]] about research could be further evidenced by: ## describing the methodology (e.g., sample, measures) in important studies ## considering the strength of relationships ## acknowledging limitations ## pointing out critiques/counterarguments ## suggesting ''specific'' directions for future research |5= <!-- Integration comments... --> # Basic integration between the most relevant theory(ies) and the best research # The chapter places more emphasis on theory than on research; strive for an integrated balance # The chapter could be strengthened through deeper integration with related [[Motivation and emotion/Book|chapters]] by including more embedded links |6= <!-- Conclusion comments... --> # Very good summary and conclusion # Is this section based on [[Motivation and emotion/Assessment/Using generative AI|genAI output]]? If so, this was not acknowledged in the edit summary. # Remind the reader about the importance of the problem or phenomenon of interest <!-- Conclusion – Key points --> # Key points are well summarised <!-- Conclusion – Focus questions --> # Address the focus questions <!-- Conclusion – Take-home messages --> # Add practical, take-home message(s) |7= <!-- Written expression – Style comments... --> <!-- Written expression – Written expression --> # Written expression ## The quality of written expression is very good <!-- Written expression – Paragraphs --> ## Some paragraphs are overly long. Communicate one key idea per paragraph in three to five sentences. <!-- Written expression – Layout --> # Layout ## The suggestion to simplify the structure to 2-levels was not followed ## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings ## Use the default heading style (e.g., remove additional numbers, italics, bold, and/or change in font size) <!-- Written expression – Grammar --> # Grammar ## Use past tense when describing research studies, although implications of findings could be in the present tense <!-- Written expression – Proofreading --> # Proofreading ## The first letter of Machiavellianism should be capitalised <!-- Written expression – APA style - Quotes --> ## Use double (not single) quotation marks "to introduce a word or phrase used ... as slang, or as an invented or coined expression" ([https://apastyle.apa.org/products/publication-manual-7th-edition APA Style 7th ed.], 2020, p. 159) <!-- Written expression – Figures --> ## Figures ### Figures are very well captioned ### Each Figure is referred to at least once within the main text using APA style <!-- Written expression – Tables --> ## Tables ### Very well well captioned <!-- Written expression – Tables - Citations --> ### Each Table is referred to at least once within the main text ### Refer to each Table using APA style (e.g., do not use bold, italics, check and correct capitalisation) <!-- Written expression – Citations --> # Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)] # In some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags) # Move embedded links to academic peer-reviewed sources into the [[{{PAGENAME}}#References|References]] as APA style citations with hyperlinked dois <!-- Written expression – References --> ## References use very good APA style: ### Check and correct use of italicisation ### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization] <!-- Feedback responsiveness ---> ## No evidence of responsiveness to feedback on talk page |8= <!-- Learning features comments... --> # Excellent use of learning features <!-- Learning features – Wikipedia embedded links --> # Good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. <!-- Learning features – Wikiversity embedded links --> # Reasonably good use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. <!-- Learning features – Figures, tables, feature boxes, scenarios --> # Excellent use of figure(s) # Very good use of table(s) # Very good use of feature box(es) # Basic use of scenarios, case studies, or examples <!-- Learning features – Quizzes --> # Basic use of quiz(zes) and/or reflection question(s) <!-- Learning features – See also --> # Excellent use of the [[{{PAGENAME}}#See also|See also]] section <!-- Learning features – External links --> # Basic use of the [[{{PAGENAME}}#External links|External links]] section ## Add more links |9= <!-- Social contribution comments... --> # ~ logged, useful, mostly minor/moderate/major contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]] # ~ logged contributions without [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]], so unable to easily verify and assess. See [[Motivation and emotion/Tutorials|tutorials]] for guidance about how to get direct links to evidence. # Thanks for the Wiki Commons uploads # Thanks very much for your extensive contributions # Use a numbered list per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] # No logged contributions }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 04:22, 18 October 2026 (UTC) == Improvements == Well done so far. You could potentially pick different themes, so not all templates are the same colour. You could set one colour for all quizzes and another for scenarios. [[User:Diaz Chas|Diaz Chas]] ([[User talk:Diaz Chas|discuss]] • [[Special:Contributions/Diaz Chas|contribs]]) [[User:Diaz Chas|Diaz Chas]] ([[User talk:Diaz Chas|discuss]] • [[Special:Contributions/Diaz Chas|contribs]]) 17:49, 3 November 2026 (UTC) 727q8ajofcaomsa941aowe56jtfn3d3 0 317777 2844232 2842159 2026-11-03T16:09:49Z CommunicationLaw 2996029 /* 2026 Spring */ 2844232 wikitext text/x-wiki {{law}} {| style="width:100%; margin-bottom: .6em; -moz-border-radius: 4px; text-align:center; border: 1px solid #50A6C2; background-color:#F0F8FF; padding: .6em .6em .6em .6em;" |<div style="font-size:200%;border:none;margin: 0;padding:.1em;color:#000">'''International Communication Law Learning Project'''</div><div style="top:+0.2em;font-size:150%">part of the [[School:Law|'''School of Law''']]</div> |} {{SearchWithPrefix}}'''[[Help:Resources by subject|Subject classification]]''': this is a [[Portal:Law|law learning projects]] resource. '''Class''': International Communication Law '''Professor''': Juan Carlos Riofrio [[File:International Communication Law.png|thumb|300x300px]]Welcome to the '''International Communication Law''' Learning Project, part of the [[School:Law|School of Law]]. This learning project aspires to establish the highest standards in the field of international communication law by fostering a comparative analysis of legal systems across different countries. By examining and contrasting the regulations, principles, and practices governing communication in diverse jurisdictions, the project aims to identify best practices and promote a deeper understanding of global legal standards. The ultimate goal of this project is to equip legal professionals with the knowledge necessary to navigate the complexities of cross-border communication, ensuring compliance with diverse legal systems while upholding fundamental principles of fairness and accuracy. == 2025 == [[Armenian Legal System]] [https://w.wiki/F6Yy France's Legal System] [[Italian Legal System|Italian Legal System]] [[Canadian Communications Law|Canadian Legal System]] [[Saudi Arabian Legal System|Saudi Arabian Legal System]] [[United Kingdom Legal System]] [[Puerto Rico's Legal System]] [[German Legal System]] [[Russian Legal System]] [[Jamaican Legal System]] [[Brazilian Legal System]] [[Communications Law in Austria]] [[Republic of Ireland Legal System]] [[Australia's Legal System]] == 2026 Spring == [[Communications Law in Malta]] [https://w.wiki/Hc5V The Kingdom of Morocco] [[Communications Law in China]] [[The Netherlands' Legal System|Communications Law in the Netherlands]] [[Communications Law in Portugal]] [[Media Law in the Czech Republic]] [[Communications Law in Spain]] Communication Law in [[Communication Law in Spain|Spain]] [[Communications Law in Mexico]] == 2026 Fall == [[Communication Law in New Zealand]] [[Communication Law in the European Union]] [[Communication Law in Belgium]] [[Communication Law in Finland]] [[Communication Law in India]] [[User:CBPolandFall2026|Communication Law in Poland]] [[Communication Law in Switzerland]] [[Category:Law]] [[Category:Communication]] 5j1leib36she3ebjsywio830jev3sae 0 328204 2844298 2843925 2026-11-03T21:10:26Z ~2026-58421-57 3113774 /* The Sumerian Origins of Genesis 5 */ 2844298 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total <br/> (c. 5,300-2,900 BC) ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian King List texts omit the pre-Flood era entirely, in copies that do include a pre-Flood prologue (considered by scholars a later addition), Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. ac9huawmx11hpmj87r9zehb7f824n4l 2844300 2844298 2026-11-03T21:12:00Z Unitfreak 695864 /* The Sumerian Origins of Genesis 5 */ 2844300 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian King List texts omit the pre-Flood era entirely, in copies that do include a pre-Flood prologue (considered by scholars a later addition), Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. rw1lp2odw1p4b3p9s0o0yx7p3fb7lm4 2844301 2844300 2026-11-03T21:13:23Z Unitfreak 695864 /* Narrative Similarities */ 2844301 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian King List texts omit the pre-Flood era entirely, in copies that do include a pre-Flood prologue (considered by scholars a later addition), Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 6y9d0z4k1oi1pt0vlgry65cm6x31wpp 2844302 2844301 2026-11-03T21:14:40Z Unitfreak 695864 /* Chronological Similarities */ 2844302 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in copies that do include a pre-Flood prologue (considered by scholars a later addition), Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 7l9xcymo4cvmpap9t9s6ygfgmy6h2i1 2844303 2844302 2026-11-03T21:15:24Z Unitfreak 695864 /* Chronological Similarities */ 2844303 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue (considered by scholars a later addition), Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. ci1sn1pwxmds2835zauhdvv1aulzr5k 2844304 2844303 2026-11-03T21:17:57Z Unitfreak 695864 /* Chronological Similarities */ 2844304 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. s1f6a380ivtv7pwq6nlxtxpsevs1y8l 2844309 2844304 2026-11-03T21:38:07Z Unitfreak 695864 /* Chronological Similarities */ 2844309 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. fl0kf4563qdm6kd1yhvr3oo3qihnd32 2844310 2844309 2026-11-03T21:38:36Z Unitfreak 695864 /* Chronological Similarities */ 2844310 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. The site comprises eight mounds, one covering the Enki Temple and an Ur III Ziggurat. [[John George Taylor]], British Vice-counsel at Basra, initially excavated the site in 1855.{{cite journal| url= https://archive.org/download/jstor-25228662/25228662.pdf| first= J. E.| last= Taylor| title= Notes on Abu Shahrein and Tell el Lahm| work= Journal of the Royal Asiatic Society| volume= 15| pages= 404–415| year= 1855}} His discovery of inscribed bricks enabled the identification of the site as Eridu.{{cite journal| url= | last=Hilprecht| first= H. V.| title= First Successful Attempts In Babylonia| work= Explorations in Bible Lands During the 19th Century| place= Piscataway, New Jersey| publisher= Gorgias Press| pages= 138–186| year= 2004}} Next, [[Reginald Campbell Thompson|R. Campbell Thompson]] excavated the main tell from April 10 to May 8, 1918, followed by [[Henry Hall (Egyptologist)|H. R. Hall]] from April 21 to May 8, 1919, who also surveyed the surrounding area.{{cite journal| authorlink= Henry Hall (Egyptologist)| last= Hall| first= H. R.| title= Recent Excavations of the British Museum at Tell el-Mukayyar (Ur 'of the Chaldees'), Tell Abu Shahrein (Eridu), and Tell el-Ma'abed or Tell el-'Obeid, near Ur| journal= Proceedings of the Society of Antiquaries | volume= 32| pages= 22–44| year= 1920}}{{cite journal| last= Thompson| first= Campbell| title= The British Museum Excavations at Abu Shahrain in Mesopotamia in 1918| work= Archaeologia| volume= 70| pages= 101–44| year= 1920}}{{cite journal| last= Hall| first= H. R.| title= Notes on the Excavations of 1919 at Muqayyar, el-'Obeid, and Abu Shahrein| journal= Journal of the Royal Asiatic Society of Great Britain and Ireland |volume= 56| number= Centenary Supplement| pages= 103–115| year= 1924}}{{cite journal| last= Hall| first= H. R.| title= The Excavations of 1919 at Ur, el-'Obeid, and Eridu, and the History of Early Babylonia| volume= 25| work= Royal Anthropological Institute of Great Britain and Ireland| pages= 1–7| year= 1925}}{{cite journal| last= Hall| first= H. R.| title= Ur and Eridu: The British Museum Excavations of 1919| work= The Journal of Egyptian Archaeology |volume= 9| pages= 177–95| year= 1923}}{{cite book| last= Hall| first= H. R.| title= A Season's Work at Ur, Al-ʻUbaid, Abu Shahrain (Eridu) and Elsewhere. Being an Unofficial Account of the British Museum Archaeological Mission to Babylonia, 1919| place= London| year= 1930}} [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. sit376bhgbboqls9oashg7quxgsmsqa 2844314 2844310 2026-11-03T21:48:24Z Unitfreak 695864 /* Chronological Similarities */ 2844314 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud. ... the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== The urban nucleus of Eridu was [[Enki]]'s temple, called House of the Aquifer in the oldest Sumerian texts ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒍪𒀊}}}}, {{Transliteration|sux|E₂.ZU.AB}}; [[Sumerian language|Sumerian]]: {{Transliteration|sux|[[É (temple)|e₂]]-abzu}}; [[Akkadian language|Akkadian]]: {{Transliteration|akk|bītu apsû}}). In later texts the temple was called House of the Waters ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒇉}}}}, {{Transliteration|sux|E₂.LAGAB×HAL}}; [[Sumerian language|Sumerian]]: [[É (temple)|e₂]]-engur; [[Akkadian language|Akkadian]]: ''bītu engurru''). The name refers to Enki's realm.<ref>{{cite dissertation| last= Green| first= Margaret Whitney| title= Eridu in Sumerian Literature| place= Chicago| publisher= University of Chicago, Unpublished Ph.D dissertation| year= 1975}}</ref> His consort [[Ninhursag]] had a nearby temple at [[Ubaid period|Ubaid]].<ref>{{cite book| first= P.| last= Delougaz| title= A Short Investigation of the Temple at Al-'Ubaid, Iraq| volume= 5| pages= 1–11| year= 1938| publisher= }}</ref> The origin of this temple goes back to a pre-historic sequence of buildings excavated during the 1946 to 1949 campaigns. This sequence starts at level XI in the table below, in the middle [[Ubaid period]]. Eridu is universally represented in Sumerian sources, especially in the [[Sumerian King List|King Lists]], as the "First City" (See below in section "Mythology"). The sequence of "Palace-like" or "Temple-Like" buildings just mentioned seems to substantiate this claim as it appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref> [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 0as7owsv2eoea8kn9k8azwpymnb4xh1 2844315 2844314 2026-11-03T21:50:32Z Unitfreak 695864 /* Chronological Similarities */ 2844315 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== The urban nucleus of Eridu was [[Enki]]'s temple, called House of the Aquifer in the oldest Sumerian texts ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒍪𒀊}}}}, {{Transliteration|sux|E₂.ZU.AB}}; [[Sumerian language|Sumerian]]: {{Transliteration|sux|[[É (temple)|e₂]]-abzu}}; [[Akkadian language|Akkadian]]: {{Transliteration|akk|bītu apsû}}). In later texts the temple was called House of the Waters ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒇉}}}}, {{Transliteration|sux|E₂.LAGAB×HAL}}; [[Sumerian language|Sumerian]]: [[É (temple)|e₂]]-engur; [[Akkadian language|Akkadian]]: ''bītu engurru''). The name refers to Enki's realm.<ref>{{cite dissertation| last= Green| first= Margaret Whitney| title= Eridu in Sumerian Literature| place= Chicago| publisher= University of Chicago, Unpublished Ph.D dissertation| year= 1975}}</ref> His consort [[Ninhursag]] had a nearby temple at [[Ubaid period|Ubaid]].<ref>{{cite book| first= P.| last= Delougaz| title= A Short Investigation of the Temple at Al-'Ubaid, Iraq| volume= 5| pages= 1–11| year= 1938| publisher= }}</ref> The origin of this temple goes back to a pre-historic sequence of buildings excavated during the 1946 to 1949 campaigns. This sequence starts at level XI in the table below, in the middle [[Ubaid period]]. Eridu is universally represented in Sumerian sources, especially in the [[Sumerian King List|King Lists]], as the "First City" (See below in section "Mythology"). The sequence of "Palace-like" or "Temple-Like" buildings just mentioned seems to substantiate this claim as it appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref> [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 51fhw2owfsvxpgq6ylq8tn5xg7yqk1m 2844316 2844315 2026-11-03T21:51:45Z Unitfreak 695864 /* Chronological Similarities */ 2844316 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== The urban nucleus of Eridu was [[Enki]]'s temple, called House of the Aquifer in the oldest Sumerian texts ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒍪𒀊}}}}, {{Transliteration|sux|E₂.ZU.AB}}; [[Sumerian language|Sumerian]]: {{Transliteration|sux|[[É (temple)|e₂]]-abzu}}; [[Akkadian language|Akkadian]]: {{Transliteration|akk|bītu apsû}}). In later texts the temple was called House of the Waters ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒇉}}}}, {{Transliteration|sux|E₂.LAGAB×HAL}}; [[Sumerian language|Sumerian]]: [[É (temple)|e₂]]-engur; [[Akkadian language|Akkadian]]: ''bītu engurru''). The name refers to Enki's realm.<ref>{{cite dissertation| last= Green| first= Margaret Whitney| title= Eridu in Sumerian Literature| place= Chicago| publisher= University of Chicago, Unpublished Ph.D dissertation| year= 1975}}</ref> His consort [[Ninhursag]] had a nearby temple at [[Ubaid period|Ubaid]].<ref>{{cite book| first= P.| last= Delougaz| title= A Short Investigation of the Temple at Al-'Ubaid, Iraq| volume= 5| pages= 1–11| year= 1938| publisher= }}</ref> The origin of this temple goes back to a pre-historic sequence of buildings excavated during the 1946 to 1949 campaigns. This sequence starts at level XI in the table below, in the middle [[Ubaid period]]. Eridu is universally represented in Sumerian sources, especially in the [[Sumerian King List|King Lists]], as the "First City" (See below in section "Mythology"). The sequence of "Palace-like" or "Temple-Like" buildings just mentioned seems to substantiate this claim as it appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref> [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. oigevuq3y58406pnt6mriri53gjtt70 2844317 2844316 2026-11-03T21:52:32Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844317 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== The urban nucleus of Eridu was [[w:Enki|Enki's temple]], called House of the Aquifer in the oldest Sumerian texts ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒍪𒀊}}}}, {{Transliteration|sux|E₂.ZU.AB}}; [[Sumerian language|Sumerian]]: {{Transliteration|sux|[[É (temple)|e₂]]-abzu}}; [[Akkadian language|Akkadian]]: {{Transliteration|akk|bītu apsû}}). In later texts the temple was called House of the Waters ([[Cuneiform]]: {{lang|sux|{{cuneiform|4|𒂍𒇉}}}}, {{Transliteration|sux|E₂.LAGAB×HAL}}; [[Sumerian language|Sumerian]]: [[É (temple)|e₂]]-engur; [[Akkadian language|Akkadian]]: ''bītu engurru''). The name refers to Enki's realm.<ref>{{cite dissertation| last= Green| first= Margaret Whitney| title= Eridu in Sumerian Literature| place= Chicago| publisher= University of Chicago, Unpublished Ph.D dissertation| year= 1975}}</ref> His consort [[Ninhursag]] had a nearby temple at [[Ubaid period|Ubaid]].<ref>{{cite book| first= P.| last= Delougaz| title= A Short Investigation of the Temple at Al-'Ubaid, Iraq| volume= 5| pages= 1–11| year= 1938| publisher= }}</ref> The origin of this temple goes back to a pre-historic sequence of buildings excavated during the 1946 to 1949 campaigns. This sequence starts at level XI in the table below, in the middle [[Ubaid period]]. Eridu is universally represented in Sumerian sources, especially in the [[Sumerian King List|King Lists]], as the "First City" (See below in section "Mythology"). The sequence of "Palace-like" or "Temple-Like" buildings just mentioned seems to substantiate this claim as it appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref> [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 2f1gkyol8633q1s3hx9yin17h6at6et 2844323 2844317 2026-11-03T22:06:32Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844323 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first location of Sumerian kingship. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 305rdnne5c5g5o8isljg0zg3exehqdl 2844324 2844323 2026-11-03T22:09:05Z Unitfreak 695864 /* Chronological Similarities */ 2844324 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, the canal Id-edin-Eriduga (NUN)ki ("the canal of the Eridug plain") connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first location of Sumerian kingship. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 8lejvw6xo36gjavtc3h6uhvwnmwf3m5 2844325 2844324 2026-11-03T22:11:14Z Unitfreak 695864 /* Chronological Similarities */ 2844325 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first location of Sumerian kingship. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. nhm6osf988og4r1u9anys64knmk9nqw 2844327 2844325 2026-11-03T22:12:33Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844327 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. ==== Archeological Evidence ==== Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. dy0englp13yg2b74ni5pmg612irafqk 2844329 2844327 2026-11-03T22:13:26Z Unitfreak 695864 /* Archeological Evidence */ 2844329 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. ii6wmkn8s80vxryxujc90tx5y2zing9 2844331 2844329 2026-11-03T22:15:12Z Unitfreak 695864 /* Chronological Similarities */ 2844331 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] <br /> <small>'''(5,300 BC)'''</small> | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] <br /> <small>'''(2,900 BC)'''</small> | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 5uyhzx1dd929ayvavt6b5778klrkn27 2844335 2844331 2026-11-03T22:33:17Z Unitfreak 695864 /* The Sumerian Origins of Genesis 5 */ 2844335 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city on Earth, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. t0xah1jy6nnrljhy4aiobxc2ygekf4y 2844336 2844335 2026-11-03T22:34:11Z Unitfreak 695864 /* Chronological Similarities */ 2844336 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth and final city: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. hdw4s4znxn20a8pt7r7nu4webnc36rf 2844337 2844336 2026-11-03T22:35:25Z Unitfreak 695864 /* Chronological Similarities */ 2844337 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. fste6ypy1ifk3eml9d09ilnmue9ylg0 2844338 2844337 2026-11-03T22:36:23Z Unitfreak 695864 /* Chronological Similarities */ 2844338 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, a canal connected Eridu to the Euphrates before the river shifted course. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 77heaxpspkgesicwoks6tojdy1s8wbt 2844339 2844338 2026-11-03T22:37:42Z Unitfreak 695864 /* Chronological Similarities */ 2844339 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. Archaeological excavations across southern Mesopotamia have mapped the actual physical duration separating the dawn of urban civilization from the historical local floods that devastated the region. The two endpoints anchor this era perfectly: the initial establishment of sacred architecture at Eridu during the early Ubaid period, and the massive, culturally disruptive flood event documented in the stratigraphy of Shuruppak (modern Tell Fara). As shown in the stratigraphy below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the absolute cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. k93tp99pqp4ddvdhl4e47saxdjr9xgj 2844341 2844339 2026-11-03T22:39:55Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844341 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts the temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. nssjsxasl1qzh58yox8n706eibp8prm 2844345 2844341 2026-11-03T22:51:23Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844345 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood Sumerian King List cities have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story. The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts this temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 4fl0hrjtfgrm8xuo7i8qjdjz68vj4eu 2844350 2844345 2026-11-03T23:15:28Z Unitfreak 695864 /* Chronological Similarities */ 2844350 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities, named in the Sumerian King List, have been identified through excavated cuneiform inscriptions. These cities, shown on the above map, existed in close proximity to the Tigris and Euphrates rivers, both of which are featured in the biblical Garden of Eden story (Genesis 2:10-14). The other two named rivers in the Eden narrative, the Gihon and the Pishon, are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts this temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. h5brq8aha16ep2bk4yz2fd36d0rbvnw 2844351 2844350 2026-11-03T23:19:39Z Unitfreak 695864 /* Chronological Similarities */ 2844351 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Chronology:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities, named in the Sumerian King List, have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers as shown on the above map. Four rivers are named in the biblical Garden of Eden story (Genesis 2:10-14), the Tigris, Euphrates, Gihon and the Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts this temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. mmnodt78njuydqlv1q3iz4ys019cx71 2844355 2844351 2026-11-03T23:22:11Z Unitfreak 695864 /* The Sumerian Origins of Genesis 5 */ 2844355 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities, named in the Sumerian King List, have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers as shown on the above map. Four rivers are named in the biblical Garden of Eden story (Genesis 2:10-14), the Tigris, Euphrates, Gihon and the Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five Sumerian pre-Flood cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts this temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 3mjfa9tlam0cbi70dbzaj6smedxkac8 2844356 2844355 2026-11-03T23:24:38Z Unitfreak 695864 /* Chronological Similarities */ 2844356 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities, named in the Sumerian King List, have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers as shown on the above map. Four rivers are named in the biblical Garden of Eden story (Genesis 2:10-14), the Tigris, Euphrates, Gihon and the Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts this temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin inscription (c. 2037 – 2028 BC)]]) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 2xizx0lbqfjs3zfnnptbrfn2ts7vymk 2844357 2844356 2026-11-03T23:27:36Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844357 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities, named in the Sumerian King List, have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers as shown on the above map. Four rivers are named in the biblical Garden of Eden story (Genesis 2:10-14), the Tigris, Euphrates, Gihon and the Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from these four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts this temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 26f5wg65msgqh13j11yq0bvl3d2slvl 2844371 2844357 2026-11-04T00:34:04Z Unitfreak 695864 /* Chronological Similarities */ 2844371 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities, named in the Sumerian King List, have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers as shown on the above map. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline eastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10-14), the Tigris, Euphrates, Gihon and the Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now dry riverbed) in the Arabian Peninsula. The blue oval in the above map represents the 5300 BC coastline with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts this temple was called House of the Waters. A pre-historic sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. ofz5mpmigvdyp0nvcyexzgiapyq0cds 2844374 2844371 2026-11-04T00:50:12Z Unitfreak 695864 /* Chronological Similarities */ 2844374 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts, this temple was called House of the Waters. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. f2037cs7r4138r0cdbij4avijjm26pa 2844377 2844374 2026-11-04T01:22:03Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844377 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called House of the Aquifer in the oldest Sumerian texts. In later texts, this temple was called House of the Waters. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In archaeology, a tell is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, and natural sediment. As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. rc0fbuq0ptt67nuykks91dh619w5sis 2844378 2844377 2026-11-04T02:08:55Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844378 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Pre-historic building layers in Eridu.]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In archaeology, a tell is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, and natural sediment. The most recent layers of a tell are nearest to the surface. As archeologists dig into a tell, they encounter successively older layers of civilization called "stratigraphy". As shown in the stratigraphy table below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site—the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. As shown in the stratigraphy table below, the historic timeline separating the first construction at [[Eridu]] (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" style="margin: 1em auto 1em auto;" |+ Chronological Stratigraphy of Pre-Flood Lower Mesopotamia ! Archaeological Period !! Approximate Dates !! Stratigraphic Signposts & Milestones |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic I]]''' || c. 2900 BC || Shuruppak flood layer; distinct cultural break separating pre-flood and post-flood layers. |- | '''[[w:Jemdet Nasr Period|Jemdet Nasr]] / Late Uruk''' || c. 3100–2900 BC || Advanced urban expansion; evolution of proto-cuneiform writing systems. |- | '''[[w:Uruk period|Uruk Period]]''' || c. 4000–3100 BC || Development of grand tripartite temples; earliest precursors to the ziggurats. |- | '''[[w:Ubaid period|Ubaid Period]]''' || c. 5000–4000 BC || Widespread growth of large, temple-centered agricultural communities. |- | '''Early Ubaid (Eridu Phase)''' || c. 5300 BC || Earliest architectural construction at Eridu (excavation Levels XVIII–XVI). |} {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 7gozvkrtph2sg2bw95b187sbxqjitus 2844379 2844378 2026-11-04T02:15:49Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844379 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table provides a comparison of the stratigraphy found in the Eridu 1946 to 1949 campaigns, as compared with the stratigraphy found during an excavation of Shuruppak. he historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. As shown in the stratigraphy table below, the historic timeline separating the first construction at [[Eridu]] (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" style="margin: 1em auto 1em auto;" |+ Chronological Stratigraphy of Pre-Flood Lower Mesopotamia ! Archaeological Period !! Approximate Dates !! Stratigraphic Signposts & Milestones |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic I]]''' || c. 2900 BC || Shuruppak flood layer; distinct cultural break separating pre-flood and post-flood layers. |- | '''[[w:Jemdet Nasr Period|Jemdet Nasr]] / Late Uruk''' || c. 3100–2900 BC || Advanced urban expansion; evolution of proto-cuneiform writing systems. |- | '''[[w:Uruk period|Uruk Period]]''' || c. 4000–3100 BC || Development of grand tripartite temples; earliest precursors to the ziggurats. |- | '''[[w:Ubaid period|Ubaid Period]]''' || c. 5000–4000 BC || Widespread growth of large, temple-centered agricultural communities. |- | '''Early Ubaid (Eridu Phase)''' || c. 5300 BC || Earliest architectural construction at Eridu (excavation Levels XVIII–XVI). |} {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. nat62akw3fn71wfywgs6508zhao5c07 2844380 2844379 2026-11-04T02:29:20Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844380 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at [[Eridu]] (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. acs52eck6ahp4eaabu9w39824jc0024 2844381 2844380 2026-11-04T02:30:57Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844381 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | '''c. 2900 BC''' | style="text-align: center;" | – | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. dhk09xy7psbql8vtu4gwuz38b9g99sf 2844382 2844381 2026-11-04T02:32:57Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844382 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | '''[[w:Third Dynasty of Ur|Third Dynasty of Ur]]''' ''(c. 2004-2112 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)) |- | '''[[w:Early Dynastic Period (Mesopotamia)|Early Dynastic Period]]''' ''(c. 2350-2900 BC)'' | style="text-align: center;" | – | '''Fara II & III Layer''' (Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. rim4okybladjk9cloz59f1pxbppyplm 2844383 2844382 2026-11-04T02:38:04Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844383 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 0z7jr6pnwu8jjfs66jhj9pxij1i9arw 2844384 2844383 2026-11-04T02:42:13Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844384 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient [[Akkadian Empire|Akkadian]] [[cylinder seal]] (circa 2300 BCE) depicting Enki with water streams coming from his shoulders. [[British Museum]].|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. j1ohr795t7j8xparf2hg6a8q56gw77k 2844385 2844384 2026-11-04T02:43:45Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844385 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. Enki was the [[w:Mesopotamia|Mesopotamian]] god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. nx8szy1uaa3uejc4kp1j7wrj6pdwcg0 2844386 2844385 2026-11-04T02:45:05Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844386 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. '''Demetrius the Chronographer''' stands as the earliest known witness to these biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 3tofkgvtx4h83tns8lo8j57oq4nigco 2844387 2844386 2026-11-04T02:55:28Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844387 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC)), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} ==== Pre-flood Bible Chronology ==== '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood of Noah. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. b1ro5l9hgxx14gio8s3df01w3bn8zmk 2844397 2844387 2026-11-04T03:12:27Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844397 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into a tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} ==== Pre-flood Bible Chronology ==== '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood of Noah. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 8jm1dlihriqp05cihqajtcqttvcfjgk 2844403 2844397 2026-11-04T03:17:12Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844403 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into the tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} ==== Pre-flood Bible Chronology ==== '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood of Noah. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. opef33lwpkf9x64g02ez5ez2nrp374u 2844405 2844403 2026-11-04T03:18:58Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844405 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into the tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} ==== Pre-flood Bible Chronology ==== '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood of Noah. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 9sp66wqdvtt3ri9ep6imueyjqarscz1 2844406 2844405 2026-11-04T03:21:08Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844406 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into the tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> Temple I & II: [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} ==== Pre-flood Bible Chronology ==== '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood of Noah. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. 55gap0jw2gvjdk8igsb3y3tmleuzgfw 2844407 2844406 2026-11-04T03:22:32Z Unitfreak 695864 /* Prehistoric Temple(s) */ 2844407 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into the tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> Temple I & II: [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} ==== Pre-flood Bible Chronology ==== '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood of Noah. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. av6zevy5nh2ucaenw0u4hgymuyf1poc 2844408 2844407 2026-11-04T03:24:41Z Unitfreak 695864 /* Pre-flood Bible Chronology */ 2844408 wikitext text/x-wiki {| class=table style="width:100%;" |- | {{Original research}} |- | {{RoundBoxTop}} This page extends the mathematical insights presented in the 2017 article, [https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ ''Some Curious Numerical Facts about the Ages of the Patriarchs''] by Paul D. While the original article offers compelling arguments, this analysis provides additional context and demonstrates that the underlying numerical data is even more robust and systematic than initially identified. This article was researched and written by a human author, with editing assistance provided by [https://gemini.google.com Google "Gemini, your personal AI assistant"]{{RoundBoxBottom}} |} = The Sumerian Origins of Genesis 5 = The primeval history in Genesis 5 shares deep structural, thematic, and chronological roots with ancient Mesopotamian scribal traditions. The closest parallel to the antediluvian biblical patriarchs is the Sumerian King List (SKL), which details a succession of long-lived monarchs ruling before a cataclysmic flood. The table below illustrates the correlations between Genesis 5 and the Sumerian King List, with directly corresponding elements highlighted in cyan. {| class="nowraplinks" cellspacing="0" cellpadding="3" rules="all" style="background:#fbfbfb; border: 1px solid #ccc; font-size:90%; empty-cells:show; border-collapse:collapse; text-align:left;" |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! colspan="2" | Sumerian King List ! Hebrew Bible |- style="text-align:center; font-style:italic;" ! colspan="2" style="background:#fffcf2;" | Archaeological Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2400</span> Years Total ! style="background:#fffcf2;" | Demetrius Timeline:<br><span style="background:#d6e2ff; font-style:normal; font-weight:bold; padding:0 4px;">2264</span> Years Total |- style="background:#F6E6AE; font-weight:bold; text-align:center;" ! City ! Ruler (Sage) ! Patriarch |- | [[w:Eridu|Eridu]] | [[w:Alulim|Alulim]] <span style="background: #d6e2ff; padding: 0 2px;">([[w:Adapa|Adapa]])</span> <br /> [[w:Alalngar|Alalngar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Adam|Adam]]</span> <br /> [[w:Seth|Seth]] |- | [[w:Bad-tibira|Bad-tibira]] | [[w:En-men-lu-ana|En-men-lu-ana]] <br /> [[w:En-men-gal-ana|En-men-gal-ana]] <br /> [[w:Dumuzid|Dumuzid]] | [[w:Enos|Enos]] <br /> [[w:Kenan|Kenan]] <br /> [[w:Mahalalel|Mahalalel]] |- | [[w:Larak (Sumer)|Larak]] | [[w:En-sipad-zid-ana|En-sipad-zid-ana]] | [[w:Jared (biblical figure)|Jared]] |- | [[w:Sippar|Sippar]] | <span style="background: #d6e2ff; padding: 0 2px;">[[w:En-men-dur-ana|En-men-dur-ana]]</span> | <span style="background: #d6e2ff; padding: 0 2px;">[[w:Enoch|Enoch]]</span> |- | [[w:Shuruppak|Shuruppak]] | [[w:Ubara-Tutu|Ubara-Tutu]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Utnapishtim|Utnapishtim]]</span> | [[w:Methuselah|Methuselah]] <br /> [[w:Lamech (father of Noah)|Lamech]] <br /> <span style="background: #d6e2ff; padding: 0 2px;">[[w:Noah|Noah]]</span> |} == Narrative Similarities == The biblical accounts appear to borrow from, or develop alongside, the mythological roles assigned to Sumerian rulers and their accompanying apkallu (sages). Key thematic intersections include: *[https://www.worldhistory.org/article/216/the-myth-of-adapa/ Adam as Adapa] : In the Adapa narrative, Ea (god of wisdom) warns Adapa to refuse any food or drink offered in heaven but to accept clothing and oil. Anu (the sky god) offers Adapa food and drink, followed by clothing and oil. When Adapa refuses the food, Anu chides him for missing an opportunity for immortality. Similarly, in the Genesis account, Yahweh Elohim permits Adam and Eve to eat from any tree in the divine garden except the tree of knowledge. A competing figure, the serpent, advises them to eat from it anyway. After they do, Yahweh returns, chastises them for disobedience, and provides garments of skin. Key parallels between the accounts include: A potential similarity and shared root in the names Adapa and Adam. Both narratives feature a test involving the consumption of supposedly deadly food. Both figures are offered clothing and summoned before a deity to answer for their decisions. *[https://www.marquette.edu/maqom/Chapter%201.pdf Enoch as Enmeduranki]: Enoch appears in the biblical chronology as the seventh pre-flood patriarch, while Enmeduranki is listed as the seventh pre-flood king in the Sumerian King List. The Hebrew Book of Enoch describes Enoch’s divine revelations and heavenly travels. Similarly, the Akkadian text Pirišti Šamê u Erṣeti (Secrets of Heaven and Earth) recounts Enmeduranki being taken to heaven by the gods Shamash and Adad to be taught the secrets of the cosmos. *[[w:Utnapishtim|Noah as Utnapishtim]]: Similar to Noah, Utnapishtim is warned by a deity (Enki) of an impending flood and tasked with abandoning his possessions to build a massive vessel, the Preserver of Life. Both narratives emphasize the preservation of the protagonist's family, various animals, and seeds to repopulate the world. Utnapishtim is the son of [[w:Ubara-Tutu|Ubara-Tutu]], who in broader Mesopotamian tradition was understood to be the son of En-men-dur-ana, who traveled to heaven. Similarly, Noah is a descendant (the great-grandson) of Enoch, who was also taken to heaven. == Chronological Similarities == [[File:Antediluvian Sumerian King List Cities and Biblical Rivers.png|thumb|400px|Locations of four of the five pre-Flood cities named in the Sumerian King List have been identified through excavated cuneiform inscriptions. These cities existed in close proximity to the Tigris and Euphrates rivers. Eridu was a coastal city when first founded around 5300 BC. Over the millennia, however, massive deposits of alluvial silt from four river systems filled the ancient bays, gradually pushing the shoreline southeastward away from Eridu. There are four rivers named in the biblical Garden of Eden story (Genesis 2:10–14): the Tigris, Euphrates, Gihon, and Pishon. The Gihon and Pishon are frequently associated with the Karun River in western Iran and the Wadi al-Batin (a now-dry riverbed) in the Arabian Peninsula. The blue oval on the map above represents the 5300 BC coastline, with arrows pointing to the mouths of the four Eden rivers.]] In Mesopotamian mythology, Eridu was the oldest city, the home of the wisdom god Enki, and the first site where divine kingship descended. While many Sumerian texts omit the pre-Flood era entirely, in narratives that do include a pre-Flood prologue, Eridu is consistently identified as the first city and Šuruppak is frequently identified as the fifth and final city prior to the Flood. One English translation of the Sumerian King List states it as follows: [https://www.livius.org/sources/content/anet/266-the-sumerian-king-list/ "After the kingship descended from heaven, the kingship was in Eridu ... Bad-tibira fell and the kingship was taken to Larak ... Sippar fell and the kingship was taken to Šuruppak ... Five cities; eight kings ruled for 385,200 years. Then the Flood swept over."] A related text, the [[w:Eridu Genesis|Eridu Genesis]], preserves a parallel tradition with Eridu as the first city and Šuruppak as the fifth: [https://www.livius.org/sources/content/oriental-varia/eridu-genesis/ "The firstling of the cities, Eridu, she gave to the leader Nudimmud, the second, Bad-Tibira, she gave to the Prince and the Sacred One, the third, Larak, she gave to Pahilsag, the fourth, Sippar, she gave to the gallant Utu, the fifth, Šuruppak, she gave to Ansud."] Locations of four of the five pre-Flood Sumerian cities have been identified archeologically. Eridu sits on a hill inside a basin roughly {{convert|15|mi}} long and {{convert|20|ft}} deep, separated from the Euphrates by a sandstone ridge called the ''Hazem''. In the 3rd Millennium BC, before the river shifted course, a canal connected Eridu to the Euphrates. Low tells with 2nd Millennium BC pottery and later burials mark the canal's path. ====Prehistoric Temple(s)==== [[File:Ea (Babilonian) - EnKi (Sumerian).jpg|thumb|Detail of the Adda Seal, an ancient Akkadian cylinder seal (circa 2300 BCE) depicting Enki with water streams coming from his shoulders.|270x270px]] The urban nucleus of Eridu was Enki's temple, called the ''House of the Aquifer'' in the oldest Sumerian texts. In later texts, this temple was called the ''House of the Waters''. [[w:Enki|Enki]] was the Mesopotamian god of subterranean waters, specifically reigning over the primeval underground ocean known as the [[w:Abzu|Abzu]]. In ancient art, he was frequently represented with water streams flowing directly from his body, which were often filled with fish swimming through the currents. The biblical [[w:Garden of Eden|Garden of Eden]] is presented as a well-watered garden with rivers running out of it. The Sumerian association of Eridu with subterranean waters seems reflected in the biblical garden story. [[File:Eridu Level Sequence A.jpg|frame|Prehistoric sequence of buildings excavated at Eridu.]] A prehistoric sequence of buildings excavated at Eridu during the 1946 to 1949 campaigns seems to substantiate Eridu's status as the first city with the earliest temple. Consisting of eighteen occupational levels, this Eridu sequence of "Palace-like" or "Temple-Like" buildings appears to be the first occurrence of such structures in the region<ref>{{cite book| last= Leick| first= Gwendolyn| title= Mesopotamia, The invention of the city| place= London| publisher= Penguin Books| year= 2002}}</ref>. In [[w:Archaeology|archaeology]], a '''[[w:Tell (archaeology)|tell]]''' is a mound consisting of the accumulated and stratified debris of a succession of consecutive settlements at the same site, the refuse of generations of people who built and inhabited them, alongside natural sediment. The most recent layers of a tell are nearest to the surface. As archaeologists dig into the tell, they encounter successively older layers of civilization, a recording of history called [[w:Stratigraphy|stratigraphy]]. The following table compares the stratigraphy found during the Eridu 1946–1949 campaigns with the stratigraphy found during the 1931 excavation of Shuruppak (Tell Fara). The table is organized according to the order in which layers are uncovered, with the youngest layers in the first rows of the table and successively older layers in subsequent rows. As shown below, the historic timeline separating the first construction at Eridu (c. 5300 BC) from the cultural break of the Shuruppak flood (c. 2900 BC) spans a real-world duration of approximately 2,400 years. {| class="wikitable" ! Historical Period & Dating ! Eridu Temple Stratigraphy ! Shuruppak Stratigraphy |- | ''' Dynastic Periods ''' ''(c. 2004-2900 BC)'' | '''Ur III Ziggurat Layer''' <br/> "In the ruins of the ziggurat we found numerous bricks of" [[w:Amar-Sin|Amar-Sin (c. 2046–2037 BC)]], "three bricks of" [[w:Ur-Nammu|Ur-Nammu (2112–2094 BC)]] "one brick of" [[w:Nur-Adad|Nur-Adad (c. 1866-1850 BC)]] <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "It seems that Ur-Nammu began the building of this ziggurat, but the bulk of the task was left to his grandson Amar-Sin to accomplish."] | '''Fara II & III Layer''' ([[w:Shu-Sin|Shu-Sin]] inscription (c. 2037 – 2028 BC), Sumerian seal cylinders, pottery, skeletons, figurines, Globular Stone Jar) |- | style="background-color:#ffdddd;" | '''c. 2900 BC''' | style="text-align: center;" | – | style="background-color:#ffdddd;" | '''The Shuruppak Flood Layer''' [https://www.penn.museum/sites/journal/9356/ "We found an alluvial layer at a depth between four and five metres below the mound surface."] [https://www.penn.museum/sites/journal/9356/ "Only a few objects of this period, namely one stamp seal and some sherds “floated” in the refuse above. In this respect an absolute culture break took place."] |- | '''[[w:Jemdet Nasr period|Jemdet Nasr]]''' ''(c. 2900-3100 BC)'' | style="text-align: center;" | – | '''Fara I Layer''' (Scaraboid Stamp Seals, Polychrome Jar, Animal Patterns on Potsherds, Copper Blade) |- | '''[[w:Uruk period|Uruk]]''' ''(c. 3100-3800 BC)'' | '''Temple Layers I–V''' <br/> Temple I & II: [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "All that is left to us are its foundations and retaining-walls, while even of these a large portion are buried beneath the massive masonry of the Third Dynasty Ziggurat.] <br/> Temple III: Small bricks of reddish clay. <br/> Temple IV: Medium sized bricks of greenish clay. <br/> Temple V: Large bricks of light-colored clay with dark joints. <br/> [https://www.scribd.com/document/897929584/Eridu-1981-Fuad-Safar-Seton-Lloyd "Since Temple VI was now known to belong to a very late, if not the final stage of the Al-Ubaid period, Temples III, IV and V must be taken to represent a stage intermediate between this and the stone architecture of the Protoliterate age"] | style="text-align: center;" | – |- | '''Ubaid 1-4''' ''(c. 3800-5300 BC)'' | '''Temples VI–XVIII''' <br/> Temple X: "At Level X the temple appeared to have been rebuilt with only minor changes in the plan." <br/> Temple XI: "provides the first instance of a temple building being deliberately raised upon a platform." <br/> Temple XII & XIII: "there were two successive occupation-levels at which no traces of actual buildings were to be found" <br/> Temple XVIII "The first traces of occupation at Eridu occurred at a level corresponding to 11.70 meters beneath datum" ... "and, directly above, at Level XVII, were the remains of the earliest recognizable building" | style="text-align: center;" | – |- | style="background-color:#ffdddd;" | '''c. 5300 BC''' | style="background-color:#ffdddd;" | '''First Construction''' | style="text-align: center;" | – |} === Pre-flood Bible Chronology === '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal. Writing from [https://commons.wikimedia.org/wiki/File:Ptolemaic_Alexandria_-_en.svg Alexandria in the late 3rd century BC (c. 221 BC)], Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood of Noah. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} The Septuagint chronology, as witnessed by Demetrius at 2,264 years, mirrors this archaeological reality within a remarkably tight margin of error (less than 6%). This broad-stroke alignment strongly indicates that while the fine internal details were arranged to fit sacred numerical cycles, the overarching framework of the Septuagint preserved an authentic, historically grounded memory of the Fertile Crescent's true antiquity—a memory that was severely contracted in alternative textual traditions. The structural overlap between the Mesopotamian and biblical traditions becomes most compelling when evaluating the total duration of the antediluvian era. While the fine details and specific individual lifespans in both the Septuagint and the Sumerian King List are heavily calculated using stylized, sacred, or mathematically perfect numbers, the macro-span of the Septuagint timeline displays an uncanny alignment with real-world ancient history. This macro-alignment is particularly remarkable when contrasted against the Sumerian King List itself. In the Mesopotamian scribal tradition, the antediluvian era spans astronomical lengths of time—typically totaling over 240,000 years across the reigns of the first eight pre-flood kings. These numbers are clearly symbolic or mathematical inflations that completely diverge from physical archaeological realities. Rather than duplicating these vast Near Eastern timelines or severely compressing the era, the Septuagint tradition preserved a highly realistic historical interval. It is highly significant that the Septuagint chronology, as witnessed by Demetrius, aligns so closely with modern archaeological horizons instead of the exaggerated spans of the SKL. Because an unguided mathematical arrangement of sacred numbers would be statistically unlikely to land so close to actual physical history, this uncanny broad-stroke accuracy hints at two intriguing possibilities: it was either a case of monumental cosmic luck, or the Alexandrian redactors possessed ancient, pristine Near Eastern source records that have since been entirely lost to history. This total of 2,264 years stands in stark contrast to the significantly compressed timelines preserved in the Masoretic Text (1,656 years) and the Samaritan Pentateuch (1,307 years). When evaluating these numbers against physical history, the Septuagint's macro-chronology reveals a striking real-world correlation. = ''Arichat Yamim'' (Long Life) = Most of the patriarchs' lifespans in the Hebrew Bible exceed typical human demographics, and many appear to be based on rounded multiples of 101 years. For example, the combined lifespans of Seth, Enosh, and Kenan total '''2,727 years''' (27 × 101). Likewise, the sum for Mahalalel, Jared, and Enoch is '''2,222 years''' (22 × 101), and for Methuselah and Noah, it is '''1,919 years''' (19 × 101). This phenomenon is difficult to explain, as no known ancient number system features "101" as a significant unit. However, a possible explanation emerges if we assume the original chronographer arrived at these figures through a two-stage process: an initial prototype relying on Mesopotamian sexagesimal numbers, followed by a refined prototype rounded to the nearest Jubilee cycle. In his 1989 London Bible College thesis, ''The Genealogies of Genesis: A Study of Their Structure and Function'', Richard I. Johnson argues that the cumulative lifespans of the patriarchs from Adam to Moses derive from a "perfect" Mesopotamian value: seven ''šar'' (7 × 3,600) or 420 ''šūši'' (420 × 60), divided by two. Using the sexagesimal (base-60) system, the calculation is structured as follows: *:<math display="block"> \begin{aligned} \frac{7\,\text{šar}}{2} &= \frac{420\,\text{šūši}}{2} \\ &= 210\,\,\text{šūši} \\ &= \left(210 \times 60 \,\text{years} \right) \\ &= 12,600 \, \text{years} \end{aligned} </math> This 12,600-year total was partitioned into three allotments, each based on a 100-Jubilee cycle (4,900 years) but rounded to the nearest Mesopotamian ''šūši'' (multiples of 60). ==== Prototype 1: Initial "Mesopotamian" Allocation ==== ---- <div style="background-color: #f0f4f7; padding: 15px; border-left: 5px solid #009688;"> The initial "PT1" framework partitioned the 12,600-year total into three allotments based on 100-Jubilee cycles (rounded to the nearest ''šūši''): * '''Group 1 (Seth to Enoch):''' Six patriarchs allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. This approximates 100 Jubilees (82 × 60 ≈ 100 × 49). * '''Group 2 (Adam, plus Shem to Moses):''' These 17 patriarchs were also allotted a combined sum of '''82 ''šūši'' (4,920 years)'''. * '''Group 3 (The Remainder):''' Methuselah, Lamech, and Noah were allotted the remaining '''46 ''šūši'' (2,760 years)''' (12,600 − 4,920 − 4,920). </div> ---- ==== Prototype 2: Refined "Jubilee" Allocation ==== ---- <div style="background-color: #fdf7ff; padding: 15px; border-left: 5px solid #9c27b0;"> Because the rounded Mesopotamian sums in Prototype 1 were not exact Jubilee multiples, the framework was refined by shifting 29 years from the "Remainder" to each of the two primary groups. This resulted in the "PT2" figures as follows: * '''Group 1 (Seth to Enoch):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 2 (Adam, plus Shem to Moses):''' Increased to '''4,949 years''' (101 × 49-year Jubilees). * '''Group 3 (The Remainder):''' Decreased by 58 years to '''2,702 years''' (12,600 − 4,949 − 4,949). </div> ---- '''Table Legend:''' * <span style="width:100%; color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in a patriarch surviving beyond the date of the Flood. {| class="wikitable" style="font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Prototype Chronologies (Age at death) |- ! colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="3" style="background-color:#e0f2f1; border-bottom:2px solid #009688;" | PROTOTYPE 1<br/>(PT1) ! colspan="3" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PROTOTYPE 2<br/>(PT2) |- | rowspan="6" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 1}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|45 šūši}}<br/><small>(2700)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2727</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|37 šūši}}<br/><small>(2220)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 15 <small>(900)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2222</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 6 <small>(360)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 365 |- | rowspan="3" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 3}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|46 šūši}}<br/><small>(2760)</small></div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|32 šūši}}<br/><small>(1920)</small></div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | rowspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2702</div> | rowspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1919</div> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 16 <small>(960)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 14 <small>(840)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 14 <small>(840)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 783 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 |- | rowspan="18" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|Group 2}}</div> | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|82 šūši}}<br/><small>(4920)</small></div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|40 šūši}}<br/><small>(2400)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 16 <small>(960)</small> | rowspan="18" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">4949</div> | rowspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">2401</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 10 <small>(600)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 438 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 7 <small>(420)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 433 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|25 šūši}}<br/><small>(1500)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 8 <small>(480)</small> | rowspan="6" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1525</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 464 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 4 <small>(240)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 239 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 230 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 148 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">{{nowrap|17 šūši}}<br/><small>(1020)</small></div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | rowspan="7" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | <div style="display:inline-block; transform:rotate(270deg);">1023</div> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 3 <small>(180)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 147 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Levi | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 137 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kohath | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 133 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Amram | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 131 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 2 <small>(120)</small> | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | 120 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="2" style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="6" | 210 šūši<br/><small>(12,600 years)</small> |} ==Mesopotamian Derived Lifespans== [[File:Diagram of the Supplementary Hypothesis.jpg|thumb|upright=0.8|Diagram of the [[w:supplementary_hypothesis|supplementary hypothesis]], a popular model of the [[w:composition_of_the_Torah|composition of the Torah]]. The Priestly source is shown as '''P'''.]] Many scholars believe the biblical chronology was developed by an individual or school of scribes known as the [[w:Priestly_source|Priestly source]] (see diagram). Deprived of a physical Temple, the Judean elite focused on transforming oral traditions into a permanent, 'portable' written Law. To do so, scribes likely adopted the prestigious sexagesimal (base-60) mathematical system of their captors, codifying a history that would command respect within a Mesopotamian intellectual context. The presence of these mathematical structures provides strong evidence that these lifespans were integrated into the biblical narrative during or shortly after the Babylonian captivity (c. 586–538 BCE). The following comparison illustrates how the '''Prototype 1''' chronology utilized timespans found in the [[w:Sumerian_King_List|Sumerian King List (SKL)]]. The longest lifespans in this chronology—960 and 900 years—are figures well-represented as Sumerian kingship durations. * '''16 ''šūši'' (960 years)''' ** SKL: [[w:Kullassina-bel|Kullassina-bel]], [[w:Kalibum|Kalibum]] ** '''Prototype 1''': Adam, Jared, Methuselah, Noah * '''15 ''šūši'' (900 years)''' ** SKL: [[w:Zuqaqip|Zuqaqip]], [[w:Melem-Kish|Melem-Kish]], [[w:Ilku|Ilku]], [[w:Enmebaragesi|Enmebaragesi]] ** '''Prototype 1''': Seth, Enosh, Kenan, Mahalalel * '''10 ''šūši'' (600 years)''' ** SKL: [[w:Atab|Atab]] ** '''Prototype 1''': Shem * '''7 ''šūši'' (420 years)''' ** SKL: [[w:En-tarah-ana|En-tarah-ana]], [[w:Enmerkar|Enmerkar]] ** '''Prototype 1''': Arpachshad, Shelah The precise alignment of these four distinct groupings suggests that the Prototype 1 Chronology was not merely inspired by Mesopotamian traditions, but was mathematically calibrated to synchronize with them. Notably, in his work ''[[w:Antiquities_of_the_Jews|Antiquities of the Jews]]'', [[w:Josephus|Flavius Josephus]] characterizes several pre-flood (antediluvian) patriarchs as having explicit leadership or ruling roles, further mirroring the regal nature of the Sumerian list. ==The Grouping of Adam== The placement of Adam in Group 2 for lifespan allotments is surprising given his role as the first human male in the Genesis narrative. Interestingly, Mesopotamian mythology faces a similar ambiguity regarding the figure Adapa. In [[w:Apkallu#Uanna_(Oannes)_or_Adapa?|some inscriptions (click here)]], the word "Adapa" is linked to the first sage and associated with the first pre-flood king, Ayalu (often identified as [[w:Alulim|Alulim]]). In [[w:Adapa#Other_myths|other myths (click here)]], Adapa is associated with the post-flood king, [[w:Enmerkar|Enmerkar]]. ==== Conclusion ==== The dual association of Adapa—as both the first antediluvian sage and a figure linked to the post-flood king Enmerkar—provides a compelling mythological parallel to the numerical "surprise" of Adam’s grouping. Just as Adapa bridges the divide between the primordial era and the post-flood world, Adam’s placement in Group 2 suggests a similar thematic ambiguity. This pattern is further reinforced by the figure of Enoch, whose role as the seventh patriarch mirrors Enmeduranki, the seventh king; both serve as pivotal links between humanity and the divine realm. Together, these overlaps imply that the biblical lifespan allotments were influenced by ancient conventions that viewed the progression of kingship and wisdom as a fluid, structured tradition rather than a strictly linear history. ==The Universal Flood== In the '''Prototype 2''' chronology, four pre-flood patriarchs—[[w:Jared (biblical figure)|Jared]], [[w:Methuselah|Methuselah]], [[w:Lamech (Genesis)|Lamech]], and [[w:Noah|Noah]]—are attributed with exceptionally long lifespans, and late enough in the chronology that their lives overlap with the Deluge. This creates a significant anomaly where these figures survive the [[w:Genesis flood narrative|Universal Flood]], despite not being named among those saved on the Ark in the biblical narrative. It is possible that the survival of these patriarchs was initially not a theological problem. For example, in the eleventh tablet of the ''[[w:Epic of Gilgamesh|Epic of Gilgamesh]]'', the hero [[w:Utnapishtim|Utnapishtim]] is instructed to preserve civilization by loading his vessel not only with kin, but with "all the craftsmen." Given the evident Mesopotamian influences on early biblical narratives, it is possible that the original author of the biblical chronology may have operated within a similar conceptual framework—one in which Noah preserved certain forefathers alongside his immediate family, thereby bypassing the necessity of their death prior to the deluge. Alternatively, the author may have envisioned the flood as a localized event rather than a universal cataclysm, which would not have required the total destruction of human life outside the Ark. Whatever the intentions of the original author, later chronographers were clearly concerned with the universality of the Flood. Consequently, chronological "corrections" were implemented to ensure the deaths of these patriarchs prior to the deluge. The lifespans of the problematic patriarchs are detailed in the table below. Each entry includes the total lifespan with the corresponding birth and death years (Anno Mundi, or years after creation) provided in parentheses. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Bible Chronologies: Lifespan (Birth year) (Death year) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 962 <br/><small>(460)<br/>(1422)</small> | 847 <br/><small>(460)<br/>(1307)</small> | 962 <br/><small>(460)<br/>(1422)</small> | colspan="2" | 962 <br/><small>(960)<br/>(1922)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/> <small>(587)<br/>(1556)</small> | 720 <br/> <small>(587)<br/>(1307)</small> | 969 <br/> <small>(687)<br/>(1656)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 969 <br/><small>(1287)<br/>(2256)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 783 <br/> <small>(654)<br/>(1437)</small> | 653 <br/> <small>(654)<br/>(1307)</small> | 777 <br/> <small>(874)<br/>(1651)</small> | 753 <br/> <small>(1454)<br/>(2207)</small> | 723 <br/> <small>(1454)<br/>(2177)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(707)<br/>(1657)</small> | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1056)<br/>(2006)</small> | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 950 <br/> <small>(1642)<br/>(2592)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | The Flood | colspan="2" | <small>(1307)</small> | <small>(1656)</small> | colspan="2" |<small>(2242)</small> |} === Samaritan Adjustments === As shown in the table above, the '''Samaritan Pentateuch''' (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech while leaving their birth years unchanged (460 AM, 587 AM, and 654 AM respectively). This adjustment ensures that all three patriarchs die precisely in the year of the Flood (1307 AM), leaving Noah as the sole survivor. While this mathematically resolves the overlap, the solution is less than ideal from a theological perspective; it suggests that these presumably righteous forefathers were swept away in the same judgment as the wicked generation, perishing in the same year as the Deluge. === Masoretic Adjustments === The '''Masoretic Text''' (MT) maintains the original lifespan and birth year for Jared, but implements specific shifts for his successors. It moves Methuselah's birth and death years forward by exactly '''one hundred years'''; he is born in year 687 AM (rather than 587 AM) and dies in year 1656 AM (rather than 1556 AM). Lamech's birth year is moved forward by '''two hundred and twenty years''', and his lifespan is reduced by six years, resulting in a birth in year 874 AM (as opposed to 654 AM) and a death in year 1651 AM (as opposed to 1437 AM). Finally, Noah's birth year and the year of the flood are moved forward by '''three hundred and forty-nine years''', while his original lifespan remains unchanged. These adjustments shift the timeline of the Flood forward sufficiently so that Methuselah's death occurs in the year of the Flood and Lamech's death occurs five years prior, effectively resolving the overlap. However, this solution is less than ideal because it creates significant irregularities in the ages of the fathers at the birth of their successors (see table below). In particular, Jared, Methuselah, and Lamech are respectively '''162''', '''187''', and '''182''' years old at the births of their successors—ages that are notably higher than the preceding patriarchs Adam, Seth, Enosh, Kenan, Mahalalel, and Enoch, who are respectively '''130''', '''105''', '''90''', '''70''', '''65''', and '''65''' in the Masoretic Text. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="2" style="background-color:#e8e8e8;" | 130 | colspan="2" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="2" style="background-color:#e8e8e8;" | 105 | colspan="2" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="2" style="background-color:#e8e8e8;" | 90 | colspan="2" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="2" style="background-color:#e8e8e8;" | 70 | colspan="2" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="3" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="2" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" | 67 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="2" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" | 53 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="2" style="background-color:#f9f9f9;" | 188 |} === Septuagint Adjustments === In his article ''[https://isthatinthebible.wordpress.com/2017/08/24/some-curious-numerical-facts-about-the-ages-of-the-patriarchs/ Some Curious Numerical Facts about the Ages of the Patriarchs]'', the author Paul D makes the following statement regarding the Septuagint (LXX): <blockquote>“The LXX’s editor methodically added 100 years to the age at which each patriarch begat his son. Adam begat Seth at age 230 instead of 130, and so on. This had the result of postponing the date of the Flood by 900 years without affecting the patriarchs’ lifespans, which he possibly felt were too important to alter. Remarkably, however, the editor failed to account for Methuselah’s exceptional longevity, so old Methuselah still ends up dying 14 years after the Flood in the LXX. (Whoops!)”</blockquote> The Septuagint solution avoids the Samaritan issue where multiple righteous forefathers were swept away in the same year as the wicked. It also avoids the Masoretic issue of having disparate fathering ages. However, the Septuagint solution of adding hundreds of years to the chronology subverts mathematical motifs upon which the chronology was originally built. Abraham fathering Isaac at the age of 100 is presented as a miraculous event within the post-flood Abraham narrative; yet, having a long line of ancestors who begat sons when well over a hundred and fifty significantly dilutes the miraculous nature of Isaac's birth. {{RoundBoxTop}} ====The "Whoops Theory": A Digression==== Paul D.’s "Whoops Theory" suggests the LXX editor added 100 years to the age at which each patriarch begot his son, intending to "fix" the timeline, but somehow failed in the case of Methuselah. Fortunately, in addition to the biblical text traditions themselves, the writings of early chronographers provide insight into how these histories were developed. The LXX was the favored source for most Christian scholars during the early church period. Consider the following statement by Eusebius in his ''Chronicon'': <blockquote>"Methusaleh fathered Lamech when he was 167 years of age. He lived an additional 802 years. Thus he would have survived the flood by 22 years."</blockquote> This statement illustrates that Eusebius, as early as 325 AD, was aware of these chronological tensions. If he recognized the discrepancy, it is highly probable that earlier chronographers would also have been conscious of the overlap, suggesting it was not part of the earliest traditions but was a later development. Writing in the late 3rd century BC (c. 221 BC), '''Demetrius the Chronographer''' stands as the earliest known witness to biblical chronological calculations. Despite the fragmentary nature of his work, his data remains pivotal; Demetrius explicitly calculated 2,264 years between the creation of Adam and the Flood, a total that inherently supports a longer chronology where Methuselah’s fathering age is '''187''' years rather than '''167'''. In the original article's comments, a debate surfaced regarding this longer chronology and the '''187''' year fathering age for Methuselah. Paul D. defends his "Whoops Theory" by systematically challenging the validity of early witnesses, particularly those that support the longer timeline: * '''Josephus:''' Characterized as being dependent on the Masoretic tradition rather than an independent witness. * '''Pseudo-Philo:''' Dismissed entirely due to severe textual corruption (described as "a real mess"). * '''Julius Africanus:''' Questioned because his records survive only through a later intermediary, Syncellus. * '''Demetrius:''' Rejected as a witness because his chronology contains an additional two years whose precise placement remains unknown. * '''Codex Alexandrinus:''' Identified as the lone legitimate witness to the 187-year fathering age. The dismissal of Julius Africanus due to his survival through an intermediary, or the disqualification of Demetrius based on a two-year uncertainty, is arguably overstated. As shown in the comparative tables below, there is remarkably little variation in the "LONG CHRONOLOGY" begettal ages. They are identical for Adam through Enoch, with some variation in the last few patriarchs prior to the flood. The below reconstructed Demetrius chronology employs a plausible explanation for the 2-year discrepancy: the ambiguity surrounding the precise timing of the Flood in relation to the births of Shem and Arphaxad. As explored later in this resource, chronographers frequently differ on whether Arphaxad was born two years after the Flood (Gen 11:10) or in the same year—a nuance that can account for such variances without necessitating the rejection of the witness. Given that Demetrius operates within the longest known chronological framework, the suggestion that he utilized longer begettal ages for earlier patriarchs while failing to apply the correction for Methuselah—the very figure requiring it most in such an expanded timeline—is statistically and logically improbable. {{RoundBoxBottom}} {{RoundBoxTop}} '''Table Legend:''' * <span style="color:#b71c1c;">'''Red Cells'''</span> indicate figures that result in patriarchs surviving beyond the date of the Flood. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 | colspan="3" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="1" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {{RoundBoxBottom}} === Flood Adjustment Summary === In summary, there was no ideal methodology for accommodating a universal flood within the various textual traditions. * In the '''Prototype 2''' chronology, multiple ancestors survive the flood alongside Noah. This dilutes Noah's status as the sole surviving patriarch, which in turn weakens the legitimacy of the [[w:Covenant_(biblical)#Noahic|Noahic covenant]]—a covenant predicated on the premise that God had destroyed all humanity in a universal reset, making Noah a fresh start in God's relationship with humanity. * The '''Samaritan''' solution was less than ideal because Noah's presumably righteous ancestors perish in the same year as the wicked, which appears to undermine the discernment of God's judgments. * The '''Masoretic''' and '''Septuagint''' solutions, by adding hundreds of years to begettal ages, normalize what is intended to be the miraculous birth of Isaac when Abraham was an hundred years old. == Additional Textual Evidence == Because no single surviving manuscript preserves the original PT2 in its entirety, it must be reconstructed using internal textual evidence. As described previously, a primary anchor for this reconstruction is the '''4,949-year sum''' for the Seth-to-Enoch group (Group 1), which is preserved across nearly all textual traditions. Also, where traditions diverge from this sum, they do so in patterns that preserve underlying symmetries and reveal the editorial intent of later redactors, as shown in the following tables. (The '''Armenian Eusebius''' chronology does not explicitly record lifespans for Levi, Kohath, and Amram. These specific values are assumed to be shared across other known ''Long Chronology'' traditions.) === Lifespan Adjustments by Individual Patriarch === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Individual Patriarch Lifespans) |- ! rowspan = "2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | Patriarch ! colspan="1" rowspan = "2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (Armenian) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 800}} <br/>= 930 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|230 + 700}} <br/>= 930 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|105 + 807}} <br/>= 912 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|205 + 707}} <br/>= 912 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|90 + 815}} <br/>= 905 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|190 + 715}} <br/>= 905 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 840}} <br/>= 910 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|170 + 740}} <br/>= 910 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 830}} <br/>= 895 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 730}} <br/>= 895 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|62 + 900}} <br/>= 962 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 | {{nowrap|62 + 785}} <br/>= 847 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|162 + 800}} <br/>= 962 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|65 + 300}} <br/>= 365 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|165 + 200}} <br/>= 365 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|67 + 902}} <br/>= 969 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|187 + 782}} <br/>= 969 | {{nowrap|67 + 653}} <br/>= 720 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|167 + 802}} <br/>= 969 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|53 + 730}} <br/>= 783 | {{nowrap|182 + 595}} <br/>= 777 | {{nowrap|53 + 600}} <br/>= 653 | {{nowrap|188 + 565}} <br/>= 753 | {{nowrap|188 + 535}} <br/>= 723 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Noah | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 | colspan="1" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|502 + 448}} <br/>= 950 | colspan="2" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|500 + 450}} <br/>= 950 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shem | colspan="5" style="background-color:#ffcdd2; color:#b71c1c; font-weight:bold; border:2px solid #ef5350;" | {{nowrap|100 + 500}} <br/>= 600 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Arpachshad | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|35 + 403}} <br/>= 438 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|135 + 303}} <br/>= 438 | {{nowrap|135 + 400}} <br/>= 535 | {{nowrap|135 + 403}} <br/>= 538 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Cainan (II) | colspan="3" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | — | 460 | — |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 403}} <br/>= 433 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 303}} <br/>= 433 | {{nowrap|130 + 330}} <br/>= 460 | {{nowrap|130 + 406}} <br/>= 536 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 464 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|34 + 430}} <br/>= 464 | colspan="2" | {{nowrap|134 + 270}} <br/>= 404 | {{nowrap|134 + 433}} <br/>= 567 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 209}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 109}} <br/>= 239 | colspan="2" | {{nowrap|130 + 209}} <br/>= 339 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|32 + 207}} <br/>= 239 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|132 + 107}} <br/>= 239 | {{nowrap|132 + 207}} <br/>= 339 | {{nowrap|135 + 207}} <br/>= 342 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|30 + 200}} <br/>= 230 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|130 + 100}} <br/>= 230 | colspan="2" | {{nowrap|130 + 200}} <br/>= 330 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|? + ?}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|29 + 119}} <br/>= 148 | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|79 + 69}} <br/>= 148 | {{nowrap|179 + 125}} <br/>= 304 | {{nowrap|79 + 119}} <br/>= 198 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Terah | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 | {{nowrap|70 + 75}} <br/>= 145 | colspan="2" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|70 + 135}} <br/>= 205 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Abraham | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|100 + 75}} <br/>= 175 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Isaac | colspan="5" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|60 + 120}} <br/>= 180 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Jacob..Moses | colspan="1" style="background-color:#e8e8e8; font-weight:bold; color:#555;" | {{nowrap|345 + 323}} <br/>= 668 | colspan="1" | {{nowrap|560 + 114}} <br/>= 674 | colspan="1" | {{nowrap|345 + 328}} <br/>= 673 | colspan="2" | {{nowrap|345 + 324}} <br/>= 669 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! style="text-align:left; color:black;" | LIFESPAN<br/>DURATION<br/>SUM | colspan="2" | 12,600 | colspan="1" | 11,991 | colspan="1" | 13,551 | colspan="1" | 13,200 |} === Samaritan Adjustment Details === As noted previously, the Samaritan Pentateuch (SP) systematically reduces the total lifespans of Jared, Methuselah, and Lamech so that all three die precisely in the year of the Flood, leaving Noah as the sole survivor. The required reduction in Jared's lifespan was '''115 years'''. Interestingly, the Samaritan tradition also reduces the lifespans of later patriarchs by a combined total of 115 years, seemingly to maintain a numerical balance between the "Group 1" and "Group 2" patriarchs. Specifically, this balance was achieved through the following adjustments: * '''Eber''' and '''Terah''' each had their lifespans reduced by 60 years (one ''šūši'' each). * '''Amram's''' lifespan was increased by five years. This net adjustment of 115 years (60 + 60 - 5) suggests a deliberate schematic balancing. === Masoretic Adjustment Details === In the 2017 article, "[https://wordpress.com Some Curious Numerical Facts about the Ages of the Patriarchs]," Paul D. describes a specific shift in Lamech's death age in the Masoretic tradition: <blockquote>"The original age of Lamech was 753, and a late editor of the MT changed it to the schematic 777 (inspired by Gen 4:24, it seems, even though that is supposed to be a different Lamech: If Cain is avenged sevenfold, truly Lamech seventy-sevenfold). (Hendel 2012: 8; Northcote 251)"</blockquote> While Paul D. accepts 753 as the original age, this conclusion creates significant tension within his own numerical analysis. A central pillar of his article is the discovery that the sum of all patriarchal ages from Adam to Moses totals exactly '''12,600 years'''—a result that relies specifically on Lamech living 777 years. To dismiss 777 as a late "tweak" in favor of 753 potentially overlooks the intentional mathematical architecture that defines the Masoretic tradition. As Paul D. acknowledges: <blockquote>"Alas, it appears that the lifespan of Lamech was changed from 753 to 777. Additionally, the age of Eber was apparently changed from 404 (as it is in the LXX) to 464... Presumably, these tweaks were made after the MT diverged from other versions of the text, in order to obtain the magic number 12,600 described above."</blockquote> ==== ''Lectio Difficilior Potior'' ==== The principle of ''[[Wikipedia:Lectio difficilior potior|Lectio Difficilior Potior]]'' (the "harder reading is stronger") suggests that scribes tend to simplify or "smooth" texts by introducing patterns. Therefore, when reconstructing an earlier tradition, the critic should often favor the reading with the least amount of artificial internal structure. This concept is particularly useful in evaluating major events in Noah's life. In the Samaritan Pentateuch (SP) tradition, Noah is born in [https://www.stepbible.org/?q=reference=Gen.5:28,31%7Cversion=SPE Lamech’s 53rd year and Lamech dies when he is 653]. In the Septuagint tradition Lamech dies [https://www.stepbible.org/?q=reference=Gen.5:31%7Cversion=AB when he is 753, exactly one hundred years later than the Samaritan tradition]. If we combine that with the 500-year figure for Noah's age at the birth of his sons, a suspiciously neat pattern emerges: * '''Year 500 (of Noah):''' Shem is born. * '''Year 600 (of Noah):''' The Flood occurs. * '''Year 700 (of Noah):''' Lamech dies. This creates a perfectly intervalic 200-year span (500–700) between the birth of the heir and the death of the father. Such a "compressed chronology" (500–600–700) is a hallmark of editorial smoothing. Applying ''Lectio Difficilior'', one might conclude that these specific figures (653, and 753) are secondary schematic developments rather than original data. In the reconstructed prototype chronology (PT2), it is proposed that Lamech's original lifespan was '''783 years'''—a value not preserved in any surviving tradition. Under this theory, Lamech's lifespan was reduced by six years in the Masoretic tradition to reach the '''777''' figure described previously, while Amram's was increased by six years in a deliberate "balancing" of total chronological years. === Armenian Eusebius Adjustments === Perhaps the most surprising adjustments of all are those found in the Armenian recension of Eusebius's Long Chronology. Eusebius's original work is dated to 325 AD, and the Armenian recension is presumed to have diverged from the Greek text approximately a hundred years later. It is not anticipated that the Armenian recension would retain Persian-era mathematical motifs; however, when the lifespan durations for all of the patriarchs are added up, the resulting figure is 13,200 years, which is exactly 600 years (or 10 ''šūši'') more than the Masoretic Text. Also, the specific adjustments to lifespans between the Prototype 2 (PT2) chronology and the Armenian recension of Eusebius's Long Chronology appear to be formulated using the Persian 60-based system. Specifically, the following adjustments appear to have occurred for Group 2 patriarchs: * '''Arpachshad''', '''Peleg''', and '''Serug''' each had their lifespans increased by 100 years. * '''Shelah''', '''Eber''', and '''Reu''' each had their lifespans increased by 103 years. * '''Nahor''' had his lifespan increased by 50 years. * '''Amram''' had his lifespan increased by 1 year. === Lifespan Adjustments by Group === {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center;" |+ Comparison of Chronological Traditions (Patriarch Group Lifespan Duration Sum) |- ! rowspan="2" | Patriarch Groups ! rowspan="2" style="background-color:#f3e5f5; border-bottom:2px solid #9c27b0;" | PT2 ! colspan="2" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="2" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! style="background-color:#e3f2fd;" | Masoretic<br/>(MT) ! style="background-color:#e3f2fd;" | Samaritan<br/>(SP) ! style="background-color:#fff3e0;" | Septuagint<br/>(LXX) ! style="background-color:#fff3e0;" | Eusebius<br/>(325 AD) |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 1: Seth to Enoch<br/><small>(6 Patriarchs)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | colspan="2" style="background-color:#f9f9f9; font-weight:bold;" | 4949 |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 3: Methuselah, Lamech, Noah<br/><small>(The Remainder)</small> | style="font-weight:bold; background-color:#f9f9f9;" | 2702 | style="background-color:#f9f9f9;" | 2696<br/><small>(2702 - 6)</small> | style="background-color:#f9f9f9;" | 2323<br/><small>(2702 - 379)</small> | style="background-color:#f9f9f9;" | 2672<br/><small>(2702 - 30)</small> | style="background-color:#f9f9f9;" | 2642<br/><small>(2702 - 60)</small> |- | style="font-weight:bold; text-align:left; background-color:#f9f9f9;" | Group 2: Adam & Shem to Moses<br/><small>(The "Second Half")</small> | style="background-color:#f9f9f9; font-weight:bold;" | 4949 | style="background-color:#f9f9f9;" | 4955<br/><small>(4949 + 6)</small> | style="background-color:#f9f9f9;" | 4834<br/><small>(4949 - 115)</small> | style="background-color:#f9f9f9;" | 5930<br/><small>(4949 + 981)</small> | style="background-color:#f9f9f9;" | 5609<br/><small>(4949 + 660)</small> |- style="background-color:#333; color:white; font-weight:bold; font-size:14px;" ! LIFESPAN DURATION SUM | colspan="2" | 12,600 | 11,991 | 13,551 | 13,200 |} * '''The Masoretic Text (MT):''' This tradition shifted 6 years from the "Remainder" to Group 2. This move broke the original symmetry but preserved the '''4,949-year sum''' for the Group 1 block. * '''The Samaritan Pentateuch (SP):''' This tradition reduced both Group 1 and Group 2 by exactly 115 years each. While this maintained the underlying symmetry between the two primary blocks, the 101-Jubilee connection was lost. * '''The Septuagint (LXX):''' This tradition adds 981 years to Group 2 while subtracting 30 years from the Remainder. This breaks the symmetry of the primary blocks and subverts any obvious connection to sexagesimal (base-60) influence. * '''The Armenian Eusebius Chronology:''' This tradition reduced the Remainder by 60 years while increasing Group 2 by 660 years. This resulted in a net increase of exactly 600 years, or '''10 ''šūši''''' (base-60 units). The use of rounded Mesopotamian figures in the '''Armenian Eusebius Chronology''' suggests it likely emerged prior to the Hellenistic conquest of Persia. Conversely, the '''Septuagint's''' divergence indicates a later development—likely in [[w:Alexandria|Alexandria]]—where Hellenized Jews were more focused on correlating Hebrew history with Greek and Egyptian chronologies than on maintaining Persian-era mathematical motifs. The sum total of the above adjustments amounts to 660 years, or 11 ''šūši''. When combined with the 60-year reduction in Lamech's life (from 783 years to 723 years), the combined final adjustment is 10 ''šūši''. = It All Started With Grain = [[File:Centres_of_origin_and_spread_of_agriculture_labelled.svg|thumb|500px|Centres of origin of agriculture in the Neolithic revolution]] The chronology found in the ''Book of Jubilees'' has deep roots in the Neolithic Revolution, stretching back roughly 14,400 years to the Black Desert of Jordan. There, Natufian hunter-gatherers first produced flatbread by grinding wild cereals and tubers into flour, mixing them with water, and baking the dough on hot stones. This original flour contained a mix of wild wheat, wild barley, and tubers like club-rush (''Bolboschoenus glaucus''). Over millennia, these wild plants transformed into domesticated crops. The first grains to be domesticated in the Fertile Crescent, appearing around 10,000–12,000 years ago, were emmer wheat (''Triticum dicoccum''), einkorn wheat (''Triticum monococcum''), and hulled barley (''Hordeum vulgare''). Early farmers discovered that barley was essential for its early harvest, while wheat was superior for making bread. The relative qualities of these two grains became a focus of early biblical religion, as recorded in [https://www.stepbible.org/?q=reference=Lev.23:10-21 Leviticus 23:10-21], where the people were commanded to bring the "firstfruits of your harvest" (referring to barley) before the Lord: <blockquote>"then ye shall bring a sheaf of the firstfruits of your harvest unto the priest: And he shall wave the sheaf before the Lord"</blockquote> To early farmers, for whom hunger was a constant reality and winter survival uncertain, that first barley harvest was a profound sign of divine deliverance from the hardships of the season. The commandment in Leviticus 23 continues: <blockquote>"And ye shall count unto you from the morrow after the sabbath, from the day that ye brought the sheaf of the wave offering; seven sabbaths shall be complete: Even unto the morrow after the seventh sabbath shall ye number fifty days; and ye shall offer a new meat offering unto the Lord. Ye shall bring out of your habitations two wave loaves of two tenth deals; they shall be of fine flour; they shall be baken with leaven; they are the firstfruits unto the Lord."</blockquote> [[File:Ghandum_ki_katai_-punjab.jpg|thumb|500px|[https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day.]] These seven sabbaths amount to forty-nine days. The number 49 is significant because wheat typically reaches harvest roughly 49 days after barley. This grain carried a different symbolism: while barley represented survival and deliverance from winter, wheat represented the "better things" and the abundance provided to the faithful. [https://www.stepbible.org/?q=reference=Deu.16:9-10 Deuteronomy 16:9-10] similarly commands the people to count seven weeks from the time the sickle is first put to the standing grain, celebrating the feast on the fiftieth day. This 49-day interval between the barley and wheat harvests was so integral to ancient worship that it informed the timeline of the Exodus. Among the plagues of Egypt, [https://www.stepbible.org/?q=reference=Exo.9:31-32 Exodus 9:31-32] describes the destruction of crops: <blockquote>"And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled. But the wheat and the rye <small>(likely emmer wheat or spelt)</small> were not smitten: for they were not grown up."</blockquote> This text establishes that the Exodus—God's deliverance from slavery—began during the barley harvest. Just as the barley harvest signaled the end of winter’s hardship, it symbolized Israel's release from bondage. The Israelites left Egypt on the 15th of Nisan (the first month) and arrived at the Wilderness of Sinai on the 1st of Sivan (the third month), 45 days later. In Jewish tradition, the giving of the Ten Commandments is identified with the 6th or 7th of Sivan—exactly 50 days after the Exodus. Thus, the Exodus (deliverance) corresponds to the barley harvest and is celebrated as the [[wikipedia:Passover|Passover]] holiday, while the Law (the life of God’s subjects) corresponds to the wheat harvest and is celebrated as [[wikipedia:Shavuot|Shavuot]]. This pattern carries into Christianity: Jesus was crucified during Passover (barley harvest), celebrated as [[wikipedia:Easter|Easter]], and fifty days later, the Holy Spirit was sent at [[wikipedia:Pentecost|Pentecost]] (wheat harvest). === The Mathematical Structure of Jubilees === The chronology of the ''Book of Jubilees'' is built upon this base-7 agricultural cycle, expanded into a fractal system of "weeks": * '''Week of Years:''' 7<sup>1</sup> = 7 years * '''Jubilee of Years:''' 7<sup>2</sup> = 49 years * '''Week of Jubilees:''' 7<sup>3</sup> = 343 years * '''Jubilee of Jubilees:''' 7<sup>4</sup> = 2,401 years The author of the ''Jubilees'' chronology envisions the entirety of early Hebraic history, from the creation of Adam to the entry into Canaan, as occurring within a Jubilee of Jubilees, concluding with a fiftieth Jubilee of years. In this framework, the 2,450-year span (2,401 + 49 = 2,450) serves as a grand-scale reflection of the agricultural transition from the barley of deliverance to the wheat of the Promised Land. [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs.png|thumb|center|500px|Early Hebraic history as envisioned by the author of the ''Jubilees'' chronology]] The above diagram illustrates the reconstructed Jubilee of Jubilees fractal chronology. The first twenty rows in the left column respectively list 20 individual patriarchs, with parentheses indicating their age at the birth of their successor. Shem, the 11th patriarch and son of Noah, is born in reconstructed year 1209, which is roughly halfway through the 2,401-year structure. Abram is listed in the 21st position with a 77 in parentheses, indicating that Abram entered Canaan when he was 77 years old. The final three rows represent the Canaan, Egypt, and 40-year Sinai eras. Chronological time flows from the upper left to the lower right, utilizing 7x7 grids to represent 49-year Jubilees within a larger, nested "Jubilee of Jubilees" (49x49). Note that the two black squares at the start of the Sinai era mark the two-year interval between the Exodus and the completion of the Tabernacle. * The '''first Jubilee''' (top-left 7x7 grid) covers the era from Adam's creation through his 49th year. * The '''second Jubilee''' (the adjacent 7x7 grid to the right) spans Adam's 50th through 98th years. * The '''third Jubilee''' marks the birth of Seth in the year 130, indicated by a color transition within the grid. * The '''twenty-fifth Jubilee''' occupies the center of the 49x49 structure; it depicts Shem's birth and the chronological transition from pre-flood to post-flood patriarchs. {{RoundBoxTop}} ==== The Birth of Shem (A Digression) ==== Were Noah's sons born when Noah was 500 or 502? While [https://www.stepbible.org/?q=reference=Gen.5:32 Genesis 5:32] states that "Noah was 500 years old, and Noah begat Shem, Ham, and Japheth," this likely indicates the year Noah ''began'' having children rather than the year all three were born. Shem’s specific age can be deduced by comparing other verses: # Noah was 600 years old when the floodwaters came ([https://www.stepbible.org/?q=reference=Gen.7:6 Genesis 7:6]). # Shem was 100 years old when he fathered Arpachshad, two years after the flood ([https://www.stepbible.org/?q=reference=Gen.11:10 Genesis 11:10]) '''The Calculation:''' If Shem was 100 years old two years after the flood, he was 98 when the flood began. Subtracting 98 from Noah’s 600th year (600 - 98) results in '''502'''. This indicates that either Japheth or Ham was the eldest son, born when Noah was 500, followed by Shem two years later. Shem is likely listed first in the biblical text due to his status as the ancestor of the Semitic peoples. {{RoundBoxBottom}} == The Mathematical relationship between 40 and 49 == As noted previously, the ''Jubilees'' author envisions early Hebraic history within a "Jubilee of Jubilees" fractal chronology (2,401 years). Shem is born in year 1209, which is a nine-year offset from the exact mathematical center of 1200. To understand this shift, one must look at a mathematical relationship that exists between the foundational numbers 40 and 49. Specifically, 40 can be expressed as a difference of squares derived from 7; using the distributive property, the relationship is demonstrated as follows: <math display="block"> \begin{aligned} (7-3)(7+3) &= 7^2 - 3^2 \\ &= 49 - 9 \\ &= 40 \end{aligned} </math> The following diagram graphically represents the above mathematical relationship. A Jubilee may be divided into two unequal portions of 9 and 40. [[File:Jubilee_to_Generation_Division.png|thumb|center|500px|Diagram illustrating the division of a Jubilee into unequal portions of 9 and 40.]] Shem's placement within the structure can be understood mathematically as the first half of the fractal plus nine pre-flood years, followed by the second half of the fractal plus forty post-flood years, totaling the entire fractal plus one Jubilee (49 years): [[File:Schematic_Diagram_Book_of_Jubilees_Early_Patriarchs_split.png|thumb|center|500px|Diagram of early Hebraic history as envisioned by the author of the ''Jubilees'' chronology with a split fractal framework]] <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan)''' ** Pre-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 - 1}{2} + 3^2 &= 1200 + 9 \\ &= 1209 \end{aligned} </math> ** Post-Flood Patriarch years: *:<math display="block"> \begin{aligned} \frac{7^4 + 1}{2} + (7^2 - 3^2) &= 1201 + 40 \\ &= 1241 \end{aligned} </math> ** Total Years: *:<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> </div> == The Samaritan Pentateuch Connection == Of all biblical chronologies, the ''Book of Jubilees'' and the ''Samaritan Pentateuch'' share the closest affinity during the pre-flood era, suggesting that the Jubilee system may be a key to unlocking the SP’s internal logic. The diagram below illustrates the structural organization of the patriarchs within the Samaritan tradition. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Jubilees mathematical framework]] === Determining Chronological Priority === A comparison of the begettal ages in the above Samaritan diagram with the Jubilees diagram reveals a deep alignment between these systems. From Adam to Shem, the chronologies are nearly identical, with minor discrepancies likely resulting from scribal transmission. In the Samaritan Pentateuch, Shem, Ham, and Japheth are born in year 1207 (with Shem's reconstructed birth year as 1209), maintaining a birth position within the 25th Jubilee—the approximate center of the 49x49 "Jubilee of Jubilees." This raises a vital question of chronological priority: which system came first? Shem’s placement at the center of the 49x49 grid suggests that the schematic framework of the Book of Jubilees may have influenced the Samaritan Pentateuch's chronology, even if the latter's narratives are older. It is highly probable that Shem's "pivot" position was an intentional design feature inherited or shared by the Samaritan tradition, rather than a coincidental alignment. === The 350-Year Symmetrical Extension === Post-flood begettal ages differ significantly between these two chronologies. In the Samaritan Pentateuch, the ages of six patriarchs at the birth of their successors are significantly higher than those in the ''Book of Jubilees'', extending the timeline by exactly 350 years (assuming the inclusion of a six-year conquest under Joshua, represented by the black-outlined squares in the SP diagram). This extension appears to be a deliberate, symmetrical addition: a "week of Jubilees" (343 years) plus a "week of years" (7 years). <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> </div> === Mathematical Structure of the Early Samaritan Chronology === To understand the motivation for the 350-year variation between the ''Book of Jubilees'' and the SP, a specific mathematical framework must be considered. The following diagram illustrates the Samaritan tradition using a '''40-year grid''' (4x10 year blocks) organized into 5x5 clusters (25 blocks each): * '''The first cluster''' (outlined in dark grey) contains 25 blocks, representing exactly '''1,000 years'''. * '''The second cluster''' represents a second millennium. * '''The final set''' contains 20 blocks (4x5), representing '''800 years'''. Notably, when the SP chronology is mapped to this 70-unit format, the conquest of Canaan aligns precisely with the end of the 70th block. This suggests a deliberate structural design—totaling 2,800 years—rather than a literal historical record. [[File:Schematic_Diagram_Samaritan_Pentateuch_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Samaritan Pentateuch'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] == The Masoretic text Variation == [[File:Schematic_Diagram_Masoretic_Text_Early_Patriarchs_40.png|thumb|center|500px|Diagram of Hebraic history as presented in ''the Masoretic Text'' chronology, organized into a Generational (4x10 year blocks) mathematical framework]] === Mathematical Structure of the Masoretic Chronology === The above diagram maps the Masoretic chronology using the identical grid framework applied to the Samaritan Pentateuch. Red circles indicate specific chronological points where the Masoretic timeline diverges from the Samaritan tradition. Key textual and numerical variations include: ==== The Universal Flood Adjustment (+349 yrs) ==== The Masoretic chronology postpones the birth of Noah and the onset of the Deluge by '''349 years''' relative to the Samaritan tradition. As outlined in the above "Masoretic Adjustments" section, this structural shift ensures that Noah's antediluvian ancestors do not survive past the date of the universal flood. This timeline was achieved by adding 100 years to Jared's paternal age, 120 years to Methuselah's, and 129 years to Lamech's. Consequently, these calculations place Methuselah's death precisely in the year of the Flood and Lamech's death five years prior. ==== The Smoothing of Noah's Life (-2 yrs) ==== The Masoretic chronology reduces Noah's age at the birth of Shem from 502 years (as found in the Samaritan Pentateuch) to 500 years. As discussed in the "Lectio Difficilior Potior" and "The Birth of Shem (A Digression)" sections, this change represents "scribal smoothing." This editorial process rounded major milestones in Noah's life to the nearest century: his sons are born in his 500th year, the Deluge occurs in his 600th year, and his father Lamech dies in his 700th year. ==== Post-Flood Patriarchal Lifespans (-650 yrs) ==== Seven post-flood patriarchs (Arpachshad through Nahor) exhibit reduced ages at the birth of their firstborn sons within the Masoretic chronology, resulting in a cumulative deficit of 650 years compared to the Samaritan Pentateuch. Specifically, the paternal ages of Arpachshad, Shelah, Eber, Peleg, Reu, and Serug are each lower by exactly 100 years, while Nahor's age is reduced by 50 years. Given the uniform, rounded values of these variations, a direct dependency exists; either the Masoretic chronologist systematically deflated these ages, or the Samaritan chronologist systematically inflated them. The Masoretic use of young fathering ages for these specific patriarchs may preserve an older tradition. The narrative theme of Abraham fathering Isaac at the age of 100 serves as a central literary and mathematical motif that likely predates the Babylonian exile. Consequently, the lower paternal ages in the Masoretic lineage may intentionally highlight this milestone, ensuring that a fatherhood age of 100 remains an extraordinary, miraculous exception within the broader genealogical timeline. Under this proposed framework, Arpachshad (or Cainan) originally functioned not as a standard descendant of Shem, but as the progenitor of a distinct nine-generation patriarchal line culminating in the miraculous birth of Isaac. During the Babylonian exile, the Priestly source ("P") may have adapted this older Abrahamic lineage, appending earlier primeval generations to mirror Mesopotamian creation and flood epics. Consequently, Mesopotamian archetypes—such as Adapa, Enmeduranki, and Utnapishtim—were synthesized with preexisting Hebrew traditions to form the composite figures of Adam, Enoch, and Noah. These composite primeval figures were subsequently integrated into a single, seamless genealogical chain spanning from creation to the foundations of Israel. ==== The Final Masoretic Adjustment (+215 yrs) ==== As will be explained later in this resource, it is proposed that a final 215 years was added to the Masoretic chronology to arrive at the 2666-year total. The Samaritan Pentateuch, the Septuagint, and the Book of Jubilees all claim that the Patriarchs were in Canaan for 215 years, followed by 215 years of Israelite slavery in Egypt. The Masoretic text increases the period of Egyptian slavery by 215 years, for a total of 430 years of slavery. This increase to 430 years is difficult to reconcile with the Moses narrative, which claims that Moses was the great-grandson of Levi on the paternal line and the grandson on the maternal line. Levi entered Egypt as an adult and a free man. Moses led the children of Israel out of Egypt at eighty years old. For Moses to be a maternal grandson, his mother would have been hundreds of years old when she gave birth to him and his older siblings, Aaron and Miriam. ==== The 2800-Year to 2666-Year Transition ==== Within the Masoretic chronology, the Exodus is situated inside the third 800-year epoch, occurring precisely in the year 2666 after creation (Anno Mundi). This placement represents a deliberate scribal design choice rather than an organic chronological coincidence. <div style="line-height: 1.5;"> * '''Book of Jubilees (Adam to Canaan):''' :<math display="block"> \begin{aligned} 7^4 + 7^2 &= 2401 + 49 \\ &= 2450 \end{aligned} </math> * '''Samaritan Pentateuch (Adam to Conquest):''' :<math display="block"> \begin{aligned} \text{(Base 49): } & 7^4 + 7^3 + 7^2 + 7^1 \\ &= 2401 + 343 + 49 + 7 \\ &= 2800 \\ \text{(Base 40): } & 70 \times 40 \\ &= 2800 \end{aligned} </math> * '''Masoretic Text (Adam to Exodus):''' :<math display="block"> (2800 - 46) + (349) - (2) - (650) + (215) = 2666</math> </div> As detailed in "The 350-Year Symmetrical Extension," the timeline found in the Book of Jubilees likely served as the foundational model, positioning Shem at the exact midpoint of its 2,450-year chronology. The Samaritan Pentateuch appears to be a direct derivative of this Jubilees framework. Scribes systematically appended exactly 350 years to the post-Flood era, shifting the completion of the Conquest to a precise macro-structural target of 2,800 years after creation. Envisioning the process that transitioned from the 2,800-year Samaritan chronology to the Masoretic framework presents a distinct mathematical challenge. Tracking the adjustments step-by-step from the Samaritan baseline reveals a precise transition: * '''Samaritan Baseline (Conquest Completion):''' 2,800 years * '''Minus Wandering and Conquest Era:''' −46 years (2,754) * '''Plus Masoretic Flood Adjustment:''' +349 years (3,103) * '''Minus Noah's Life Smoothing:''' −2 years (3,101) * '''Minus Post-Flood Patriarchal Reductions:''' −650 years (2,451) * '''The Final Masoretic Adjustment:''' +215 years (2,666) This calculation yields exactly 2,666 years. Because individual components were dictated by rigid external theological and narrative constraints, it is surprising that the final adjustment yields exactly 2,666 years, but it also remains difficult to isolate where scribes might have executed fine-tuning to bring about this exact value and bridge the 2,800-year and 2,666-year macro-structures. === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="3" style="background-color:#e8e8e8;" | 130 | colspan="6" style="background-color:#e8e8e8;" | 230 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="3" style="background-color:#e8e8e8;" | 105 | colspan="6" style="background-color:#e8e8e8;" | 205 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="3" style="background-color:#e8e8e8;" | 90 | colspan="6" style="background-color:#e8e8e8;" | 190 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="3" style="background-color:#e8e8e8;" | 70 | colspan="6" style="background-color:#e8e8e8;" | 170 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="1" style="background-color:#e8e8e8;" | 66 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Post-Flood Chronological Traditions (Age at birth of son) |- ! colspan="1" rowspan="2" | Patriarch ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY |- ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Arphaxad | colspan="1" style="background-color:#f9f9f9;" | 66 | colspan="1" style="background-color:#f9f9f9;" | 35 | colspan="7" style="background-color:#e8e8e8;" | 135 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Cainan II | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - | colspan="1" style="background-color:#f9f9f9;" | 130 | colspan="2" style="background-color:#e8e8e8;" | - |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shelah | colspan="1" style="background-color:#f9f9f9;" | 71 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Eber | colspan="1" style="background-color:#f9f9f9;" | 64 | colspan="1" style="background-color:#f9f9f9;" | 34 | colspan="7" style="background-color:#e8e8e8;" | 134 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Peleg | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="7" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Reu | colspan="1" style="background-color:#f9f9f9;" | 59 | colspan="1" style="background-color:#f9f9f9;" | 32 | colspan="5" style="background-color:#e8e8e8;" | 132 | colspan="1" style="background-color:#e8e8e8;" | 135 | colspan="1" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Serug | colspan="1" style="background-color:#f9f9f9;" | 57 | colspan="1" style="background-color:#f9f9f9;" | 30 | colspan="6" style="background-color:#e8e8e8;" | 130 | colspan="1" style="background-color:#e8e8e8;" | 132 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Nahor | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 29 | colspan="3" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 75 | colspan="1" style="background-color:#e8e8e8;" | 79 / 179 | colspan="1" style="background-color:#e8e8e8;" | 79 | colspan="1" style="background-color:#e8e8e8;" | 120 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Terah | colspan="9" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Abram | colspan="1" style="background-color:#f9f9f9;" | 78 | colspan="8" style="background-color:#e8e8e8;" | 75 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Canaan | colspan="1" style="background-color:#f9f9f9;" | 218 | colspan="8" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Egypt | colspan="1" style="background-color:#f9f9f9;" | 238 | colspan="1" style="background-color:#f9f9f9;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 | colspan="1" style="background-color:#e8e8e8;" | 430 | colspan="3" style="background-color:#e8e8e8;" | 215 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Sinai +/- | colspan="1" style="background-color:#f9f9f9;" | 40 | colspan="1" style="background-color:#f9f9f9;" | - | colspan="3" style="background-color:#e8e8e8;" | 46 | colspan="4" style="background-color:#e8e8e8;" | 40 |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | GRAND TOTAL | colspan="1" | 2450 | colspan="1" | 2666 | colspan="1" | 2800 | colspan="1" | 3885 | colspan="1" | 3754 | colspan="1" | 3938 | colspan="3" | Varied |} == Living in the Rough == [[File:Samaritan Passover sacrifice IMG 1988.JPG|thumb|350px|A Samaritan Passover Sacrifice 1988]] As explained previously, 49 (a Jubilee) is closely associated with agriculture and the 49-day interval between the barley and wheat harvests. The symbolic origins of the number '''40''' (often representing a "generation") are less clear, but the number is consistently associated with "living in the rough"—periods of trial, transition, or exile away from the comforts of civilization. Examples of this pattern include: * '''Noah''' lived within the ark for 40 days while the rain fell; * '''Israel''' wandered in the wilderness for 40 years; * '''Moses''' stayed on Mount Sinai for 40 days and nights without food or water. Several other prophets followed this pattern, most notably '''Jesus''' in the New Testament, who fasted in the wilderness for 40 days before beginning his ministry. In each case, the number 40 marks a period of testing that precedes a new spiritual or national era. Another recurring theme in the [[w:Pentateuch|Pentateuch]] is the tension between settled farmers and mobile pastoralists. This friction is first exhibited between Cain and Abel: Cain, a farmer, offered grain as a sacrifice to God, while Abel, a pastoralist, offered meat. When Cain’s offering was rejected, he slew Abel in a fit of envy. The narrative portrays Cain as clever and deceptive, whereas Abel is presented as honest and earnest—a precursor to the broader biblical preference for the wilderness over the "civilized" city. In a later narrative, Isaac’s twin sons, Jacob and Esau, further exemplify this dichotomy. Jacob—whose name means "supplanter"—is characterized as clever and potentially deceptive, while Esau is depicted as a rough, hairy, and uncivilized man, who simply says what he feels, lacking the calculated restraint of his brother. Esau is described as a "skillful hunter" and a "man of the field," while Jacob is "dwelling in tents" and cooking "lentil stew." The text draws a clear parallel between these two sets of brothers: * In the '''Cain and Abel''' narrative, the plant-based sacrifice of Cain is rejected in favor of the meat-based one. * In the '''Jacob and Esau''' story, Jacob’s mother intervenes to ensure he offers meat (disguised as game) to secure his father's blessing. Through this "clever" intervention, Jacob successfully secures the favor that Cain could not. Jacob’s life trajectory progresses from the pastoralist childhood he inherited from Isaac toward the most urbanized lifestyle of the era. His son, Joseph, ultimately becomes the vizier of Egypt, tasked with overseeing the nation's grain supply—the ultimate symbol of settled, agricultural civilization. This path is juxtaposed against the life of Moses: while Moses begins life in the Egyptian court, he is forced into the wilderness after killing a taskmaster. Ultimately, Moses leads all of Israel back into the wilderness, contrasting with Jacob, who led them into Egypt. While Jacob’s family found a home within civilization, Moses was forbidden to enter the Promised Land, eventually dying in the "rough" of the wilderness. Given the contrast between the lives of Jacob and Moses—and the established associations of 49 with grain and 40 with the wilderness—it is likely no coincidence that their lifespans follow these exact mathematical patterns. Jacob is recorded as living 147 years, precisely three Jubilees (3 x 49). In contrast, Moses lived exactly 120 years, representing three "generations" (3 x 40). The relationship between these two "three-fold" lifespans can be expressed by the same nine-year offset identified in the Shem chronology: <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 3(49 - 9) &= 3(40) \\ 147 - 27 &= 120 \end{aligned} </math> [[File:Three_Jubilees_vs_Three_Generations.png|thumb|center|500px|Jacob lived for 147 years, or three Jubilees of 49 years each as illustrated by the above 7 x 7 squares. Jacob's life is juxtaposed against the life of Moses, who lived 120 years, or three generations of 40 years each as illustrated by the above 4 x 10 rectangles.]] Samaritan tradition maintains a unique cultural link to the "pastoralist" ideal: unlike mainstream Judaism, Samaritans still practice animal sacrifice on Mount Gerizim to this day. This enduring ritual focus on meat offerings, rather than the "grain-based" agricultural system symbolized by the 49-year Jubilee, further aligns the Samaritan identity with the symbolic number 40. Building on this connection to "wilderness living," the Samaritan chronology appears to structure the era prior to the conquest of Canaan using the number 40 as its primary mathematical unit. === A narrative foil for Joshua === As noted in the previous section, the ''Samaritan Pentateuch'' structures the era prior to Joshua using 40 years as a fundamental unit; in this system, Joshua completes his six-year conquest of Canaan exactly 70 units of 40 years (2,800 years) after the creation of Adam. It was also observed that the Bible positions Moses as a "foil" for Jacob: Moses lived exactly three "generations" (3x40) and died in the wilderness, whereas Jacob lived three Jubilees (3x49) and died in civilization. This symmetry suggests an intriguing possibility: if Joshua conquered Canaan exactly 70 units of 40 years (2,800 years) after creation, is there a corresponding "foil" to Joshua—a significant event occurring exactly 70 Jubilees (3,430 years) after the creation of Adam? <math display="block"> \begin{aligned} 49 - 9 &= 40 \\ 70(49 - 9) &= 70(40) \\ 3,430 - 630 &= 2,800 \end{aligned} </math> Unfortunately, unlike mainstream Judaism, the Samaritans do not grant post-conquest writings the same scriptural status as the Five Books of Moses. While the Samaritans maintain various historical records, these were likely not preserved with the same mathematical rigor as the ''Samaritan Pentateuch'' itself. Consequently, it remains difficult to determine with certainty if a specific "foil" to Joshua existed in the original architect's mind. The Samaritans do maintain a continuous, running calendar. However, this system uses a "Conquest Era" epoch—calculated by adding 1,638 years to the Gregorian date—which creates a 1639 BC (there is no year 0 AD) conquest that is historically irreconcilable. The [[w:Amarna letters|Amarna Letters]] (c. 1360–1330 BC) describe a Canaan still governed by local city-states under Egyptian influence. If the Samaritan chronology were a literal historical record, the Israelite conquest would have occurred centuries before these letters; yet, neither archaeological nor epistolary evidence supports such a massive geopolitical shift in the mid-17th century BC. There is, however, one more possibility to consider: what if the "irreconcilable" nature of this running calendar is actually the key? What if the Samaritan chronographers specifically altered their tradition to ensure that the Conquest occurred exactly 2,800 years after Creation, and the subsequent "foil" event occurred exactly 3,430 years after Creation? As it turns out, this is precisely what occurred. The evidence for this intentional mathematical recalibration was recorded by none other than a Samaritan High Priest, providing a rare "smoking gun" for the artificial design of the chronology. === A Mystery Solved === In 1864, the Rev. John Mills published ''Three Months' Residence at Nablus'', documenting his time spent with the Samaritans in 1855 and 1860. During this period, he consulted regularly with the High Priest Amram. In Chapter XIII, Mills records a specific chronology provided by the priest. The significant milestones in this timeline include: * '''Year 1''': "This year the world and Adam were created." * '''Year 2801''': "The first year of Israel's rule in the land of Canaan." * '''Year 3423''': "The commencement of the kingdom of Solomon." According to 1 Kings 6:37–38, Solomon began the Temple in his fourth year and completed it in his eleventh, having labored for seven years. This reveals that the '''3,430-year milestone'''—representing exactly 70 Jubilees (70 × 49) after Creation—corresponds precisely to the midpoint of the Temple’s construction. This chronological "anchor" was not merely a foil for Joshua; it served as a mathematical foil for the Divine Presence itself. In Creation Year 2800—marking exactly 70 "generations" of 40 years—God entered Canaan in a tent, embodying the "living rough" wilderness tradition symbolized by the number 40. Later, in Creation Year 3430—marking 70 "Jubilees" of 49 years—God moved into the permanent Temple built by Solomon, the ultimate archetype of settled, agricultural civilization. Under this schema, the 630 years spanning Joshua's conquest to Solomon's temple are not intended as literal history; rather, they represent the 70 units of 9 years required to transition mathematically from the 70<sup>th</sup> generation to the 70<sup>th</sup> Jubilee: :<math>70 \times 40 + (70 \times 9) = 70 \times 49</math> === Mathematical Structure of the Later Samaritan Chronology === The following diagram illustrates 2,400 years of reconstructed chronology, based on historical data provided by the Samaritan High Priest Amram. This system utilizes a '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 10 individual blocks representing the period from '''4,000 to 4,400''' after Creation. The 70th generation and 70th Jubilee are both marked with callouts in this diagram. There is a '''676-year "Tabernacle" era''', which is composed of: * The 40 years of wandering in the wilderness; * The 6 years of the initial conquest; * The 630 years between the conquest and the completion of Solomon’s Temple. Following the '''676-year "Tabernacle" era''' is a '''400-year "First Temple" era''' and a '''70-year "Exile" era''' as detailed in the historical breakdown below. [[File:Schematic_Diagram_Samaritan_Pentateuch_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Samaritan chronology, demonstrating a generational mathematical framework.]] The Book of Daniel states: "In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it" (Daniel 1:1). While scholarly consensus varies regarding the historicity of this first deportation, if historical, it occurred in approximately '''606 BC'''—ten years prior to the second deportation of '''597 BC''', and twenty years prior to the final deportation and destruction of Solomon’s Temple in '''586 BC'''. The '''539 BC''' fall of Babylon to the Persian armies opened the way for captive Judeans to return to their homeland. By '''536 BC''', a significant wave of exiles had returned to Jerusalem—marking fifty years since the Temple's destruction and seventy years since the first recorded deportation in 606 BC. A Second Temple (to replace Solomon's) was completed by '''516 BC''', seventy years after the destruction of the original structure. High Priest Amram places the fall of Babylon in year '''3877 after Creation'''. If synchronized with the 539 BC calculation of modern historians, then year '''3880''' (three years after the defeat of Babylon) corresponds with '''536 BC''' and the initial return of the Judeans. Using this synchronization, other significant milestones are mapped as follows: * '''The Exile Period (Years 3810–3830):''' The deportations occurred during this 20-year window, represented in the diagram by '''yellow squares outlined in red'''. * '''The Desolation (Years 3830–3880):''' The fifty years between the destruction of the Temple and the initial return of the exiles are represented by '''solid red squares'''. * '''Temple Completion (Years 3880–3900):''' The twenty years between the return of the exiles and the completion of the Second Temple are marked with '''light blue squares outlined in red'''. High Priest Amram places the founding of Alexandria in the year '''4100 after Creation'''. This implies a 200-year "Second Temple Persian Era" (spanning years 3900 to 4100). While this duration is not strictly historical—modern historians date the founding of Alexandria to 331 BC, only 185 years after the completion of the Second Temple in 516 BC—it remains remarkably close to the scholarly timeline. The remainder of the diagram represents a 300-year "Second Temple Hellenistic Era," which concludes in '''Creation Year 4400''' (30 BC). === Competing Temples === There is one further significant aspect of the Samaritan tradition to consider. In High Priest Amram's reconstructed chronology shown above, the year '''4000 after Creation'''—representing exactly 100 generations of 40 years—falls precisely in the middle of the 200-year "Second Temple Persian Era" (spanning creation years 3900 to 4100, or approximately 516 BC to 331 BC). This alignment suggests that the 4000-year milestone may have been significant within the Samaritan historical framework. According to the Book of Ezra, the Samaritans were excluded from participating in the reconstruction of the Jerusalem Temple: <blockquote>"But Zerubbabel, and Jeshua, and the rest of the chief of the fathers of Israel, said unto them, Ye have nothing to do with us to build an house unto our God; but we ourselves together will build unto the Lord God of Israel" (Ezra 4:3).</blockquote> After rejection in Jerusalem, the Samaritans established a rival sanctuary on '''[[w:Mount Gerizim|Mount Gerizim]]'''. [[w:Mount Gerizim Temple|Archaeological evidence]] suggests the original temple and its sacred precinct were built around the mid-5th century BC (c. 450 BC). For nearly 250 years, this modest 96-by-98-meter site served as the community's religious center. However, the site was transformed in the early 2nd century BC during the reign of '''Antiochus III'''. This massive expansion replaced the older structures with white ashlar stone, a grand entrance staircase, and a fortified priestly city capable of housing a substantial population. [[File:Archaeological_site_Mount_Gerizim_IMG_2176.JPG|thumb|center|500px|Mount Gerizim Archaeological site, Mount Gerizim.]] This era of prosperity provides a plausible window for dating the final '''[[w:Samaritan Pentateuch|Samaritan Pentateuch]]''' chronological tradition. If the chronology was intentionally structured to mark a milestone with the year 4000—perhaps the Temple's construction or other significant event—then the final form likely developed during this period. However, this Samaritan golden age had ended by 111 BC when the Hasmonean ruler '''[[w:John Hyrcanus|John Hyrcanus I]]''' destroyed both the temple and the adjacent city. The destruction was so complete that the site remained largely desolate for centuries; consequently, the Samaritan chronological tradition likely reached its definitive form sometime after 450 BC but prior to 111 BC. = The Rise of Zadok = The following diagram illustrates 2,200 years of reconstructed Masoretic chronology. This diagram utilizes the same system as the previous Samaritan diagram, '''40-year grid''' (modeled on 4x10 year blocks) organized into 5x5 clusters (25 blocks per cluster), where each cluster represents exactly 1,000 years: * '''The first cluster''' (outlined in dark grey) spans years '''2,000 to 3,000''' after Creation. * '''The second cluster''' spans years '''3,000 to 4,000''' after Creation. * '''The final set''' contains 5 individual blocks representing the period from '''4,000 to 4,200''' after Creation. The Masoretic chronology has many notable distinctions from the Samaritan chronology described in the previous section. Most notable is the absence of important events tied to siginificant dates. There was nothing of significance that happened on the 70th generation or 70th Jubilee in the Masoretic chronology. The 40 years of wandering in the wilderness and Conquest of Canaan are shown in the diagram, but the only significant date associated with these events in the exodus falling on year 2666 after creation. The Samaritan chronology was a collage of spiritual history. The Masoretic chronology is a barren wilderness. To understand why the Masoretic chronology is so devoid of featured dates, it is important to understand the two important dates that are featured, the exodus at 2666 years after creation, and the 4000 year event. [[File:Schematic_Diagram_Masoretic_Text_Late_Era_40.png|thumb|center|500px|Schematic of later Hebraic history based on Masoretic chronology, demonstrating a generational mathematical framework.]] The Maccabean Revolt (167–160 BCE) was a successful Jewish rebellion against the Seleucid Empire that regained religious freedom and eventually established an independent Jewish kingdom in Judea. Triggered by the oppressive policies of King Antiochus IV Epiphanes, the uprising is the historical basis for the holiday of Hanukkah, which commemorates the rededication of the Second Temple in Jerusalem after its liberation. In particular, Hanukkah celebrates the rededication of the Second Temple in Jerusalem, which took place in 164 BC, cooresponding to creation year 4000. = Hellenized Jews = Hellenized Jews were ancient Jewish individuals, primarily in the Diaspora (like Alexandria) and some in Judea, who adopted Greek language, education, and cultural customs after Alexander the Great's conquests, particularly between the 3rd century BCE and 1st century CE. While integrating Hellenistic culture—such as literature, philosophy, and naming conventions—most maintained core religious monotheism, avoiding polytheism while producing unique literature like the Septuagint. [[Category:Religion]] === Mythology === In the [[w:Apkallu#Uruk_List_of_Kings_and_Sages|"Uruk List of Kings and Sages"]] (165 BC), discovered in 1959/60 in the Seleucid-era temple of Anu in Bīt Rēš, the text documents a clear succession of divine and human wisdom. It consists of a list of seven antediluvian kings and their associated semi-divine sages (apkallū), followed by a note on the 'Deluge' (see [[w:Gilgamesh_flood_myth|Gilgamesh flood myth]]). After this break, the list continues with eight more king-sage pairs representing the post-flood era, where the "sages" eventually transition into human scholars. A tentative translation reads: *During the reign of [[w:Alulim|'''Ayalu''', the king, '''Adapa''' was sage]]. *During the reign of [[w:Alalngar|'''Alalgar''', the king, '''Uanduga''' was sage]]. *During the reign of '''Ameluana''', the king, '''Enmeduga''' was sage. *During the reign of '''Amegalana''', the king, '''Enmegalama''' was sage. *During the reign of '''Enmeusumgalana''', the king, '''Enmebuluga''' was sage. *During the reign of '''Dumuzi''', the shepherd, the king, '''Anenlilda''' was sage. *During the reign of '''Enmeduranki''', the king, '''Utuabzu''' was sage. *After the flood, during the reign of '''Enmerkar''', the king, '''Nungalpirigal''' was sage This list illustrates the traditional sequence of sages that parallels the biblical patriarchs, leading to several specific similarities in their roles and narratives. bv1i69mf3kxir7ntyou3yasoxcakzzb 0 330072 2844240 2840419 2026-11-03T16:35:13Z Diaz Chas 3109441 /* External links */ Removed assessment instructions to make it more polished. 2844240 wikitext text/x-wiki {{title|Automaticity and goal pursuit:<br>How do habits and environmental cues drive unconscious goal pursuit?}} __TOC__ ==Overview== {{RoundBoxTop|theme=8}} [[File:Driver, Driving the open top sports car, Rostov-on-Don, Russia.jpg|right|thumb|200px|'''Figure 1'''. Undercover officer in pursuit.]] ;Picture this... James is undercover. The air is cold, the night is dark and worst of all... he's tired. James was about to make the arrest when the suspect gets jumpy and decides to book it. He wastes no time going after them, lights flaring and sirens wailing as the tyres of his unmarked police car squeal as he takes off in pursuit. James spots his radio out of the corner of his eye. He grabs it, instantly citing the car make, colour, number plate, location and relevant call signs for support all without a second thought. He's gaining on the suspect but they're still out of reach until he watches their car lurch as they hit a catastrophic downshift, costing them seconds. He can smell the clutch. As they approach the highway, the backup James called for arrives blocking the top of the on-ramp. The suspect gives up, exiting the car with their hands held above their head and their eyes aimed at the ground. A successful arrest with no casualties. As James thinks back on the night with a sense of pride he also finds himself in awe of his performance. He focused solely on maintaining visual of the suspect, but also managed to perform skilled operation of a vehicle, navigation and detailed but brief communication all resulting in incremental advantages lending themselves to the success of the arrest with barely any thought involved. Maybe it was his training? Maybe it was the adrenaline? Regardless of what's true James just can't shake the feeling that everything just felt... automatic. "I'm a machine!" he thinks to himself, in a cool "robocop" kind of way. {{RoundBoxBottom}} Automaticity frees your brain for [https://pmc.ncbi.nlm.nih.gov/articles/PMC8371589/ higher-order thinking], helping you improve your proficiency in goal areas. In fact, many behaviours we perform daily are automatic (see Figure 1). However, it can also drag you down. Many people have behaviours they're unsatisfied with but do anyway, even when it is in conflict with their goals. This is because they have formed habits, and those habits execute themselves automatically in response to stimuli. Understanding how to leverage habit formation is a strong strategy for pursuing goals and making the behaviours that drive them sustainable. Psychological science can help with specific frameworks to engineer the most effective cueing routine to increase the likelihood of taking action toward your goals, hopefully without even thinking about it. {{RoundBoxTop|theme=3}} '''Focus questions''' # How do you develop automatic behaviours? # What do environmental cues contribute? # How can we utilise automaticity in goal pursuit? {{RoundBoxBottom}} ==Automatic behaviour formation== Ever think your friend is weird for getting up at 5 am? Or that James, the undercover police officer is incredibly disciplined for going to the gym after work every day? Well, while those tasks might feel foreign to some people, others do them automatically. These behaviours are formed through repetition, and that with enough repetition they eventually become automatic. The individual no longer questions "should I go to the gym after work?"; they just go. The famous [[wikipedia:Classical_conditioning|Pavlov's theory of classical conditioning]] explains how two things, seemingly unrelated to each other can become linked to a particular outcome. Classical conditioning involves taking a neutral stimulus and transforming it within the individual to elicit a conditioned response (Sanvictores, et al. 2024). * Neutral stimulus elicits no response (e.g. a bell). * Unconditioned stimulus (e.g. food) elicits a direct response known as the unconditioned response (e.g. salivation). * A conditioned response (e.g. salivating to the bell) happens when the Neutral stimulus creates the same response as the unconditioned stimulus (e.g. salivating) ===Formation factors and dual process=== Wood & Rünger (2016) stated that through repeating context-dependent responses the behaviour strengthens into a habit. These habits become the default and most efficient way to deal with the situation. They go on to describe two factors of habit automaticity, activation by recurring context clues and insensitivity to short term goals which includes changes in response outcomes. In order for someone to change behaviours sufficient motivation is required to tailor themselves to new circumstances. Wood & Rünger (2016) cited dual process theory in their paper as a key theory explaining that habits are the individual engaging in Type 1 thinking. Type 1 thinking being automatic behaviour which is less cognitively demanding while Type 2 thinking is reliant on attention and mental resources to execute. These habits becoming the new default, and incidentally a Type 1 process. This could explain the identified insensitivity to short term goals. Due to the behaviour becoming a Type 1 process it reduces mental friction that would have been incurred by reducing mental resources significantly and making it more favourable in the decision making process. This could become particularly troublesome when dealing with maladaptive behaviours with high levels of automaticity as each repetition against it initially requires attention and planning. ===Automatic behaviour formation in action=== Lally et al. (2010) ran an experiment investigating habit automaticity through volunteers selecting a habit, and a context (e.g. morning walk after breakfast). They measured this through a self-report habit index (SRHI) analysing a history of repetition, automaticity (lack of control and awareness, efficiency), and expressing identity (Verplanken & Orbell, 2003). Participants met 95% of their asymptote of automaticity between 18 and 254 days. The variation could be explained by a lack of consistency during the process, especially early on. Lally et al. (2010) stated that missing occasional opportunities to perform an action did not substantially affect behaviour formation, however, significant early disruption could significantly delay achieving high levels of automaticity as the highest yield improvements to automaticity occur early in the process, with subsequent actions providing less and less improvements the closer they get to the limit of automaticity. Other limiting factors could also be task complexity, personal enjoyment, social support/facilitation and how much the individual identifies with the activity they're doing. Wood & Rünger (2016) provide a explanation on the presence of automaticity in behaviours, being refined over time through consistent context-dependent responses while also explaining the challenges in behaviour change by engaging with Dual Process Theory. Lally et al. (2010) expands on this providing real life evidence of behaviour change through investigating repetitive contextual behaviours and monitoring the process of increasing the automaticity of a behaviour. ====Key takeaways for engaging in behaviour change involve:==== * Recognising initial cognitive effort and sufficient motivation are essential for setting expectations. * Missing opportunities to perform the behaviour is okay as long as the behaviour is consistent overall. * The behaviour formation timeline varies significantly. ==Function of environmental cues== Environmental cues function similarly to classical conditioning. Environmental cues can be deliberate, such as sitting at a computer in the university library to promote thoughts of study, or inadvert, attempting to drive to the shops and accidentally starting to drive to work (Wood & Neal, 2007). In that situation, the environmental cue would be the using a computer in the library environment or driving the same road you take to work. That behaviour becomes a routine that your brain programs to run automatically. Wood & Neal in 2007 called this the habit-goal interface model. They claim that habits are artifacts of previous goal pursuits and that the success of that particular method is ingrained within the body so it can recall it to repeat that success. Their model had two principles: * The power of contexts to trigger habitual responding. * The absence goal mediation in context response associations. Patterns arise in life, intentional or otherwise. The first principle claims that people store patterns as procedural memory, which, once stored, can be activated by the specific cues associated with that pattern. The second principle claims that goal-oriented behaviours can stick around without thinking about the outcome or if the behaviour is relevant. This is a great insight, as it shows that behaviours can be cognitively offloaded from an internal "willpower" system to an external system. However, it warns against and aims to explain the accidental accumulation of unhelpful behaviours and provide context for their rigidity. ===Environmental cue evidence=== Environmental cues can trigger in an unwanted behaviours too. Neal et al. in 2011 ran an experiment where moviegoers with strong popcorn eating habits and weak popcorn eating habits were assessed on their popcorn consumption during a movie and a campus meeting room. They were presented with both fresh and stale popcorn. Interestingly the moviegoers with strong habits would still continue to eat stale popcorn during the movie regardless of the influence of hunger, but were guided by their personal preferences more when in the meeting room resulting in very little stale popcorn being consumed. The change in location disrupted this process from occuring, but their second study revealed an even more interesting discovery. Consuming the popcorn with their non-dominant hand actually also interrupted the automatic behaviour, they did not behave habitually and reduced their consumption of stale popcorn. Environmental cues may also reduce neutral or even beneficial habits. Wood et al. (2005) conducted an experiment on university students transferring to a new university. They analysed exercise, TV viewing and reading as well as everyday thoughts and actions via two surveys conducted four weeks apart. They revealed that changes in the context of which the behaviours were performed decreased the likelihood they'd perform the rehearsed behaviour. To preserve these behaviours some participants developed decisions about particular behaviours, which caused them to form or retrieve intentions about those behaviours which guided their actions. They concluded that behaviours were only sustained where the context to perform remained unchanged (e.g. reading the newspaper with others) without intervention from behavioural intention. To maintain a behaviour such as going for a run in the park, if there isn't one in proximity they would need to have the intention to continue running in order to adapt the behaviour to a new context, otherwise the behaviour would become extinct. ===Environmental cues example=== Wood and Neal (2007) provides the framework for setting a deliberate behaviour, the context needs to be specific to the behaviour. If James, the undercover officer, plays lots of video games on his home PC and occasionally try to do paperwork, the habit to play video games will be stronger and he will find it more difficult to engage in paperwork. This results in a weak plan to change behaviour as his context is more fluid. Strong context would be going to a local library to perform that specific activity. Doing this reduces the likelihood of the issue Neal et al. (2011) studied where unwanted or unpleasant behaviours occurred because the environment triggered their automatic response. If James' moves house and no longer lives near the library he will run into the issue Wood et al. (2005) discussed where his behaviour of doing paperwork may deminish because the context cue of doing it at the library is gone. ====Key takeaways for engaging in behaviour change involve:==== * Building patterns with intention creates a relatively effortless process over time. *Goals-orientated behaviours can persist even once the goal has been achieved, without intentionally wanting to achieve the goal or without the goal being relevant. *Behaviours triggered by environmental cues can be negative in the wrong context. *Lack of presence in environmental cues can reduce the likelihood those behaviours will be performed or even maintained. ==Pursuing goals with automaticity== Goal pursuit is always envisioned with a strong conscious effort. Overcoming trials and adversity requires steadfast courage and an unbreakable will. So the idea that it could be an unconscious effort seems to go against everything pursuit would stand for. However, cueing the desired behaviour removes decision-making, which is arguably where most people get stuck. Pursuing goals through automaticity aims to remove decision-making around taking action. In the overview, James, the undercover police officer had multiple opportunities to freeze or question their actions. Because of training-specific cues, they activated lights and sirens, identified key information about the suspect, and relayed it with the appropriate callsign without hesitation. This lack of decision-making freed up mental capacity to give chase and achieve the goal of a successful arrest. Wood & Rünger (2016) state that habits interface with goal pursuit in three ways: '''Exposure''', '''activation or inhibition''' and '''inference'''. # '''Exposure''' provides context cues. During training, James, the undercover officer would practise the same behaviours in response to the same stimulus repeatedly. Eventually, the habits become linked to context cues, ready for activation or inhibition. # '''Activation and inhibition''' allow the cue to activate or inhibit a behaviour immediately. Suspect flees --> Lights and sirens go up --> Radio relevant information. Behavioural activation increases the likelihood of a particular behaviour occurring, often requiring conscious thought to intervene during execution rather than before. # '''Inference''' is observing your own behaviour and determining whether it aligns with your goals. The James would be guided by their objective to apprehend the suspect safely. Lights and sirens increase safety, radioing important information increases the chance of finding them if they escape, and calling for backup increases the odds of making an arrest. James might associate that doing all of the above makes him a good police officer because those are things a good officer would do, which is in line with his goal of being a good officer. Gollwitzer and Sheeran (2006) conducted a meta-analysis to understand the effectiveness of pursuing goals with automaticity and what aids in the process. Literature they looked at previously suggested that the strength of intention was a defining factor, however, the reason for their meta-analysis was what conflicting literature said about intention. Intention was deemed insufficient by other researchers, resulting in them using the quote "the road to hell is paved with good intentions". They found that independant tests showed that implementation intentions (a plan of the when, where and how) produced a medium-to-large positive effect on goal attainment. ===Pursuing goals in context=== Wood & Rünger (2016) sets up the a way to engage with Gollwitzer and Sheeran's (2006) findings in order to construct a plan to maximise success. First determine a goal, this information should aim to pair with the ideal '''inference''' about the behaviour. Next is the '''activation and inhibition''' stage, create the implementation intentions of when and where specific behaviours should occur or not occur. Finally plan out the '''exposure''' stage, this introduces the how. Here cues need to be selected to trigger the activation or inhibition of a specific behaviour in context. James would set a goal to be a good officer. Then determine that lights, sirens, communication and attention to detail are valuable actions he wants to perform. Then would plan for the context cue to be the suspect fleeing. This way when James starts pursuing a fleeing suspect, once rehearsed, these behaviours will activate automatically.<quiz display=simple> {Behaving in the best interest of your goal is ______: |type="()"} + Inference - Activation - Inhibition - Exposure {Activation and inhibition allow _________: |type="()"} - You to turn a behaviour on or off at your own command. + Environmental cues to activate a learned behaviour. - Priming of the brain to consider action - Environmental cues to be maintained in the brain. </quiz> ===Subconscious pursuit=== Autonomous means something is automatic, but the discussion so far has been exclusively on controlling this automatic process which by extension starts to sound manual. However, subconscious pursuit of goals is a very real topic, lying below all assumed control listed above and otherwise. Goals do not require a conscous choice, the environment and those around can cue specific goals to be pursued. Bargh et al. (2001) conducted a series of five experiments testing whether or not they could subconsciously influence peoples goals in particular tasks. They conducted a series of priming effects over each experiment designed to subconsciously plant goals (e.g. a crossword with motivational words vs a crossword with random unrelated words). They found across each experiment that subconscious goal pursuit meaningfully influenced performance when completing the tasks laid out before them. However they also established that subconscious pursuit did not require a specific conscious goal beforehand to be performed. Task 2, a resource allocation task, was left open for interpretation for the treatment group and still produced meaningful positive change in the outcome. Subconscious pursuit might be hard to manipulate for the sake of improving goal pursuit, it can activate goals outside of conscious choice and may influence the execution of related behaviours in context to the task. This suggests subconscious goals still, while not an entire alternative, still have a degree of strength and that conscious thinking does not paint the full picture. ==Conclusion== Utilising current theory it is possible to manufacture meaningful and viable ways to achieve goals through environmental cueing. Practical use has been discussed extensively during this book chapter providing insight into the processes we can engage in to improve our own goal seeking behaviour through context specific cueing. It is important to also be flexible with the expectations of using automaticity through environmental cues to improve goal pursuit as it can take anywhere from 18-254 days to properly form the desired automatic behaviours. One significant benefit users can hope to see is a reduction in cognitive load over time which is encouraging because it tells the user that their initial struggle to perform the task will lessen which should reinforce the behaviour. It is also important to consider when behaviours might be cued negatively (e.g. Neal and colleagues stale popcorn experiment in 2011) to avoid unwanted behavioural cuing. Loss of behavioural cues can cause behavioural decay which be used positively to remove unwanted behaviours but is important to consider when you're trying to maintain specific behaviours under environmental change. Wood et al.'s (2016) model of exposure, activation and inhibition, and inference is a significant model that represents the ways in which habits interact with goal pursuit. These provide multiple avenues for individuals to try to prompt themselves to produce the best results they can when pursuing a goal. And to wrap up, not every goal is conscious. Some goals simply exist below the surface and automatically improve the tasks we engage in or inform us to behave in a way we are not consciously aware of. ==See also== * Clumsy effort to effortless action - [https://www.youtube.com/watch?v=eiBn0tbzHRM YouTube] * How habits guide behaviour with Wendy Wood - [https://www.youtube.com/watch?v=OWiDYOjgEFI YouTube] * Implementation intentions - [https://www.youtube.com/watch?v=mbGjJpkIsWM YouTube] * Wendy Wood's publication page - [https://dornsife.usc.edu/wendy-wood/publication/ External Website] ==References== {{Hanging indent|1= Bargh, J. A., Gollwitzer, P. M., Lee-Chai, A., Barndollar, K., & Trötschel, R. (2001). The Automated Will: Nonconscious Activation and Pursuit of Behavioral Goals. ''Journal of Personality and Social Psychology'', ''81''(6), 1014–1027. https://doi.org/10.1037/0022-3514.81.6.1014 Gollwitzer, P. M., & Sheeran, P. (2006). Implementation Intentions and Goal Achievement: A Meta‐analysis of Effects and Processes. In M. P. Zanna (Ed.), ''Advances in Experimental Social Psychology'' (Vol. 38, pp. 69–119). Elsevier Science & Technology. https://doi.org/10.1016/S0065-2601(06)38002-1 Lally, P., van Jaarsveld, C. H. M., Potts, H. W. W., & Wardle, J. (2010). How are habits formed: Modelling habit formation in the real world. ''European Journal of Social Psychology'', ''40''(6), 998–1009. https://doi.org/10.1002/ejsp.674 Sanvictores, T., Mahabadi, N., & Rehman, C. I. (2024). ''Classical conditioning.'' StatPearls Publishing. https://www.ncbi.nlm.nih.gov/books/NBK470326/ Verplanken, B., & Orbell, S. (2003). Self-Report Habit Index (SRHI) [Database record]. ''APA PsycTests.'' https://doi.org/10.1037/t03772-000 Wood, W., & Neal, D. T. (2007). A New Look at Habits and the Habit-Goal Interface. ''Psychological Review'', ''114''(4), 843–863. https://doi.org/10.1037/0033-295X.114.4.843 Wood, W., & Rünger, D. (2016). Psychology of Habit. ''Annual Review of Psychology'', ''67''(1), 289–314. https://doi.org/10.1146/annurev-psych-122414-033417 Wood, W., Tam, L., & Witt, M. G. (2005). Changing Circumstances, Disrupting Habits. ''Journal of Personality and Social Psychology'', ''88''(6), 918–933. https://doi.org/10.1037/0022-3514.88.6.918 }} ==External links== * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Link to the most relevant external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Behaviour]] [[Category:Motivation and emotion/Book/Goal striving]] [[Category:Motivation and emotion/Book/Habit]] [[Category:Motivation and emotion/Book/Unconscious]] p59ja5ospf0mvyz7bcpdq8ia9cqbyja 10 330232 2844313 2844151 2026-11-03T21:43:09Z Jtneill 10242 # The sources(s) of information presented in tables lacks sufficient citation 2844313 wikitext text/x-wiki <noinclude>Feedback [[wikiversity:FAQ/Template|template]] for the [[Motivation and emotion/Assessment/Chapter|book chapter]] exercise for the [[motivation and emotion]] unit. 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Move detail into subsequent sections. # Insufficient explanation of the psychological problem or phenomenon # Clarity of written expression can be improved # Convert the explanation of the problem from bullet-points into sentences and paragraphs <!-- Overview – Focus questions --> # The focus questions are excellent (clear and relevant) # The focus questions are very good/good/reasonably good/basic/promising/insufficient # The focus questions could be improved by: ## being more specific to the topic (i.e., the sub-title) ## matching the top-level headings more closely ## being [[w:Open-ended question|open-ended]] rather than [[w:Closed-ended question|closed-ended]] ## splitting double-barrelled questions into separate questions ## using bullet points as taught in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## being presented in a feature box to help guide the reader (fixed) # Add focus questions in a feature box # See copy edits for examples of possible improvements |3= <!-- Theory comments... --> <!-- Theory – Breadth --> # Excellent—key theories are very well explained and applied # Very good—key theories are well explained and applied; minor areas for improvements # Good—key theories are quite explained and applied; minor to moderate areas for improvements # Reasonably good—relevant theories are selected, described, and applied, with some room for improvement # Basic—a basic range of relevant theories are selected, described, and explained; there is considerable room for improvement # A promising range of ideas are presented but it is far from clear how this material is derived from a first person reading of the best peer-reviewed psychological theory and research about this topic # Insufficient use of relevant psychological theory about this topic # Reduce general theoretical background (e.g., definitions). Instead, summarise and link to related resources (i.e., other book chapters and/or Wikipedia articles). Increase emphasis on [[wikt:substantive|substantive]] aspects of theory that relate directly to the specific topic (i.e., the sub-title question). <!-- Theory – Builds on --> # Builds exceptionally well on [[w:|Wikipedia]] articles and related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds effectively on [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds reasonably well on [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds somewhat on other [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds in a basic way on [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds on one [[w:|Wikipedia]] article and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Build more strongly on [[w:|Wikipedia]] articles and related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Doesn't build on [[w:|Wikipedia]] articles and related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms <!-- Theory – Depth --> # Insightful/Very good/Good/Reasonably good/Basic/Insufficient depth is provided about key theory(ies) <!-- Theory – Tables/Figures/Lists --> # Excellent/Very good use of tables, figures, and/or lists to clearly convey key theoretical information # Good/Reasonably good/Basic/Insufficient/No use of tables, figures, and/or lists to convey key theoretical information # The sources(s) of information presented in tables lacks sufficient citation <!-- Theory – Citations --> # Key citations are well used # In some/many places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological theory about the topic. # Insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags) # If you didn't consult an original source (e.g., ?), cite it as a [https://apastyle.apa.org/style-grammar-guidelines/citations/secondary-sources secondary source] # If you didn't consult an original source, don't cite it <!-- Theory – Examples --> # Excellent/Very good/Good/Reasonably good/Basic use of examples to illustrate theoretical concepts # Consider using more examples to illustrate theoretical concepts # Use more examples to illustrate theoretical concepts # Insufficient use of examples to illustrate theoretical concepts |4= <!-- Research comments... --> <!-- Research – Key findings --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient review of relevant research # Excellent emphasis on systematic reviews and/or meta-analyses # Some emphasis on systematic reviews and/or meta-analyses; more emphasis would be ideal # Insufficient use of relevant systematic reviews and/or meta-analyses # More detail about key studies would be ideal # More recent research would be ideal # Claims are well referenced # In some/many places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological science about the topic. # of academic, peer-reviewed citations (e.g., see the {{f}} tags) <!-- Research – Critical thinking --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident # [[w:Critical thinking|Critical thinking]] about research could be further evidenced by: ## describing the methodology (e.g., sample, country, measures) in important studies ## considering the strength of relationships ## acknowledging limitations ## pointing out specific critiques/counterarguments ## suggesting ''specific'' directions for future research |5= <!-- Integration comments... --> # Excellent/Very good/Good/Reasonably good/Insufficient integration between the most relevant theory(ies) and the best research # Basic, formulaic # The chapter places more emphasis on theory than on research; strive for an integrated balance # Rather than describing individual studies separately, synthesise findings across related studies to identify common themes, patterns, and differences in the evidence # The chapter could be strengthened through deeper integration with related [[Motivation and emotion/Book|chapters]] by including more embedded links # Insufficient integration with related [[Motivation and emotion/Book|chapters]] |6= <!-- Conclusion comments... --> # Excellent/Very good/Good/Reasonably good/Basic summary and conclusion # Insufficient as a cohesive summary of the best psychological theory and research about the topic # Reads like generic [[Motivation and emotion/Assessment/Using generative AI|genAI output]]; write more compellingly in your own words # Is this section based on [[Motivation and emotion/Assessment/Using generative AI|genAI output]]? If so, this was not acknowledged in the [[Motivation and emotion/Wikiversity/Edit summary|edit summary]]. # Highlights the importance of the problem or phenomenon of interest # Highlight the importance of the problem or phenomenon of interest <!-- Conclusion – Key points --> # Key points are well summarised # Key points are summarised in a basic way # Summarise key points <!-- Conclusion – Focus questions --> # The focus questions are addressed # Take-away messages for each focus question could be spelt out more clearly # Address the focus questions <!-- Conclusion – Take-home messages --> # Clear take-home message(s) # Somewhat clear take-home message(s) # Add practical, take-home message(s) <!-- Conclusion – Word count --> # Not counted for marking purposes due to the chapter being over the maximum word count |7= <!-- Style comments... --> <!-- Style – Written expression --> # Written expression ## The quality of written expression is excellent/very good/good/reasonably good/basic ## The quality of written expression is reasonably good, but appears to be based on overuse of insufficiently acknowledged genAI content; a more convincing chapter would either use more human-written words and/or use finer-grained acknowledgement of genAI with publicly available links to the chatbot conversations as per the [[Motivation and emotion/Assessment/Using generative AI|unit's using genAI guidelines]] ## The quality of written expression is OK but there are several aspects which are below professional standard ## The quality of written expression is below professional standard. [https://www.canberra.edu.au/current-students/study-skills UC Study Skills] assistance is recommended to help improve writing skills. ### GenAI is over-used; write more in your own words, based on your own knowledge based on reading the primary sources ## Use active (e.g., "this chapter explores" or "this chapter explored") rather than passive voice (e.g., "this chapter will explore" or "this chapter has explored") [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/] ## Target an ''international'' rather than domestic national audience. [http://www.worldometers.info/world-population/australia-population/ Only 0.3% of the world human population lives in Australia]. ## Reduce excessive use of bold font <!-- Style – Sentences --> ## Some/Many sentences could be explained more clearly (e.g., see {{vague}}, {{explain}}, {{rewrite}} etc. tags); consider using [https://www.studiosity.com/students/ Studiosity] for targetted feedback to help improve the quality of written expression ## Some/Many sentences are overly long. Strive for the simplest expression. Consider splitting longer sentences into two shorter sentences. Shorter words and sentences are more [[w:Readability|readable]]. Try conducting a readability analysis such as via https://www.webfx.com/tools/read-able/. This chapter gets a score of . Aim for 50+. ## Avoid starting sentences with a citation unless the author is particularly pertinent. Instead, it is more interesting for the the content/key point to be communicated, with the citation included along the way or, more typically, in [[w:Bracket#Parentheses|parentheses]] at the end of the sentence. <!-- Style – Paragraphs --> ## Some paragraphs are overly long. Communicate one key idea per paragraph in three to five sentences. ## Avoid one sentence paragraphs. Communicate one idea per paragraph using three to five sentences. ## Bullet points are overused. Use full sentences and paragraphs. <!-- Style – Language --> ## Use [https://www.grammarly.com/blog/first-second-and-third-person/ 3rd person perspective] (e.g., "it") instead of 1st (e.g., "we") or 2nd person (e.g., "you") in the main text. 1st or 2nd person can work well for case studies or feature boxes. ## Avoid directional phrases such as “as previously mentioned” or “as noted above”, which add little value and can interrupt the flow of writing. Where cross-referencing is necessary, use [[w:Help#Section linking|section links]] to guide readers to the relevant content. ## Embed direct quotes within sentences and paragraphs, rather than presenting them [[wikt:holus-bolus|holus-bolus]] ## "Individuals" is overused. "People" is usually a clearer term than "individuals". Use ''individuals'' to highlight each person separately (e.g., “individual test scores”) and ''people'' when referring to humans more generally. ## Remove [[w:weasel words|weasel words]]—they add bulk without improving meaning ## Use permanent, rather than relative, time references. For example, instead of "20 years ago", refer to something like "at the beginning of the 21st century". In this way, the text will survive better into the future, without needing to be rewritten. ## Avoid overly emotive language (e.g,. *) in science-based communication <!-- Style – Layout --> # Layout ## The chapter is well structured, with major sections using sub-sections ## The headings could be more clearly aligned with the focus questions ## The structure is overly complicated; simplify and integrate ## The structure is overly complicated; aim for 3 to 6 top-level headings between the Introduction and Conclusion ## The chapter structure is underdeveloped; expand by using subheadings ## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings ## Use the default heading style (e.g., remove additional numbers, italics, bold, and/or change in font size) ## See earlier comment about [[#Heading casing|heading casing]] ## Provide more descriptive headings ## Move links from headings into their first mention in text ## Remove abbreviations/citations from headings ## Include an introductory paragraph before branching into the sub-sections ## Integrate research rather than having it as a stand-alone section(s) ## Integrate (embed) learning features such as quizzes, without their own headings, rather than having them as stand-alone sections ## The Overview and Conclusion should not have subheadings (fixed) ## Remove colons (:) from the ends of headings <!-- Style – Grammar --> # Grammar and spelling are excellent # Grammar ## The grammar for some/many sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, [https://www.studiosity.com/students/ Studiosity], and/or peer feedback ## Improve the clarity and flow of the writing by checking and correct use of commas. See [https://www.grammarly.com/blog/comma/ Grammarly's guide to using commas]. ## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats') ## Check and correct use of [https://www.google.com.au/search?q=grammar+that+vs+who that vs. who] ## Check and correct use of [https://www.google.com.au/search?q=affect+vs.+effect+grammar affect vs. effect] ## Check and correct use of [http://www.colonsemicolon.com/ semicolons (;) and colons (:)] ## Use past tense when describing research studies, although implications of findings could be in the present tense <!-- Style – Abbreviations --> ## Abbreviations ### Only use abbreviations such as e.g., i.e., et al., etc. inside [[w:Bracket#Parentheses|parentheses]], otherwise spell them out ### Check and correct formatting of abbreviations (such as e.g., i.e., etc.) ### Use abbreviations sparingly. Do not use abbreviations for minor/infrequently used terms. ### Explain abbreviations on first use: Spell out each abbreviation when it first appears (e.g., self-determination theory (SDT)), to ensure readers understand the term before its subsequent use ### Once an abbreviation has been established (e.g., PTSD), use it consistently afterwards ### Only introduce abbreviations which are subsequently used <!-- Style – Spelling --> # Spelling ## Use [https://www.abc.net.au/education/learn-english/australian-vs-american-spelling/11244196 Australian spelling] (e.g., hypothesize vs. hypothesise; behavior vs. behaviour) ## Some words are misspelt (e.g., see the {{sp}} tags). Spell-checking tools are available in most internet browsers and word processing software packages. <!-- Style – Copy editing --> # Copy editing ## Further [[w:Copy editing|copy editing]] is needed to improve written expression and bring the chapter closer to a professional standard (e.g., correcting punctuation, spelling, grammar, and typographical errors). ## Remove unnecessary capitalisation – [https://polishedpaper.com/blog/capitalization-apa-style more info] <!-- Style – APA style --> # APA style ## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY] (also known as the Oxford comma) ## Use [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies sentence casing (not capitals) for disorders, therapies, theories, etc.] ## [https://apastyle.apa.org/style-grammar-guidelines/numbers Express numbers under 10 using words (e.g., two) and 10 and over using numerals (e.g., 99)] <!-- Style – APA style - Quotes --> ## Use double (not single) quotation marks "to introduce a word or phrase used ... as slang, or as an invented or coined expression" ([https://apastyle.apa.org/products/publication-manual-7th-edition APA Style 7th ed.], 2020, p. 159) ## "Use quotation marks only for the first occurrence of the word or phrase, not for subsequent occurrences" ([https://apastyle.apa.org/products/publication-manual-7th-edition APA Style 7th ed.], 2020, p. 159) ## Direct quotes need page numbers—even better, communicate about concepts in your own words ## Direct quotes are overused—it is better to communicate about concepts in your own words <!-- Style – Figures --> ## Figures ### Very well/Well/Reasonably well captioned ### Brief captions; provide more detail to help connect the figure to the text ### Use this format for captions: '''Figure X'''. Descriptive caption goes here in sentence casing without bold or italics. [[Motivation and emotion/Assessment/Chapter/Figures|See example]]. ### Add captions <!-- Style – Figures - Citations --> ### Each Figure is referred to at least once within the main text using APA style ### Each Figure is referred to at least once within the main text. Refer to each Figure using APA style (e.g., "(see Figure 1)"; do not use bold, italics, check and correct capitalisation). ### Refer to each Figure at least once within the main text (e.g., "(see Figure 1)") <!-- Style – Figures - Other --> ### Some image uploads were removed because of a lack of sufficient/appropriate copyright information ### Numbering needs correcting ### Adjust some image sizes to make them easier to read (increase size) and/or less dominant (decrease size) <!-- Style – Tables --> ## Table(s) ### Very well/Well/Reasonably well captioned ### Brief caption(s); provide more explanatory detail about the table ### Use APA style for the caption(s) ([[Motivation and emotion/Assessment/Chapter/Tables|see example]]) ### Add APA style caption(s) ([[Motivation and emotion/Assessment/Chapter/Tables|see example]]) ### The source(s) of the information presented in one or more tables needs acknowledgement <!-- Style – Tables - Citations --> ### Each Table is referred to at least once within the main text using APA style ### Each Table is referred to at least once within the main text ### Refer to each Table using APA style (e.g., do not use bold, italics, check and correct capitalisation) ### Refer to each Table at least once within the main text (e.g., see Table 1) <!-- Style – Citations --> # Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)] # Citations use very good/good/reasonably good/basic/poor [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)] # In some/many places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags) ## If there are three or more authors, cite the first author followed by et al., then year. For example, either: ### in-text, Smith et al. (2020), or ### in [[w:Bracket#Parentheses|parentheses]] (Smith et al., 2020) ## Do not include author first name or initials ## Use ampersand (&) inside [[w:Bracket#Parentheses|parentheses]] and "and" outside parentheses ## List multiple citations in alphabetical order by first author surname (e.g., Giraffe, 2024; Zebra & Aardvark, 2020) ## A full stop is needed after "et al" (i.e., "et al.") because it is an abbreviation of [[wikt:et alii|et alii]] ## Use a comma between the author(s) and year for citations in [[w:Bracket#Parentheses|parentheses]] ## Select up to a maximum of three citations per point (i.e., avoid citing four or more citations to support a single point) ## Check and correct placement of full-stops ## Move embedded links to academic peer-reviewed sources into the [[{{PAGENAME}}#References|References]] as APA style citations with hyperlinked dois ## Move embedded links to non-peer reviewed sources into the [[{{PAGENAME}}#External links|External links]] section; only cite peer-reviewed sources # For citations, use APA style or wiki style, but not both # Secondary citations are overused; strive to consult primary sources <!-- Style – References --> ## References use excellent/very good/good/reasonably good/basic/poor APA style: ### Check and correct use of italicisation ### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization] ### Separate page numbers using an [[w:Dash#En dash|en dash]] (–) rather than a hyphen (-) ### Include dois where available ### Hyperlink dois for 1-click access ### Provide the full titles of journals ### Remove "Retrieved from " ### Use alphabetical order ### Move Wikipedia links into the [[{{PAGENAME}}#See also|See also]] section ### Move non-peer reviewed sources into the [[{{PAGENAME}}#External links|External links]] section ### Remove bullet-points; add hanging indent ### More copy editing is needed to fix formatting inconsistencies <!-- Feedback responsiveness ---> ## No evidence of responsiveness to feedback on talk page |8= <!-- Learning features comments... --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient use of learning features <!-- Learning features – Wikipedia embedded links --> # Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles # Very good/Good/Reasonably good/Basic/One use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. # Use [[m:Help:Interwiki linking|interwiki links]] (rather than external links) to Wikipedia articles, per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] <!-- Internal link style --> # Add embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding interwiki links for the first mention of key words and technical concepts would make the text more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. <!-- Learning features – Wikiversity embedded links --> # Excellent use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]] # Very good/Good/Reasonably good/Basic/One use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. # Use in-text [[m:Help:Interwiki linking|interwiki links]], rather than external links to Wikiversity chapters, per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] # Move embedded links to non-peer-reviewed sources to the [[{{PAGENAME}}#External links|External links]] section # Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. <!-- Learning features – Figures, tables, feature boxes, scenarios --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient/No use of figure(s) # Excellent/Very good/Good/Reasonably good/Basic/No use of table(s) # Excellent/Very good/Good/Reasonably good/Basic use of feature box(es) # No use of feature boxes other than the opening scenario # Excellent/Very good/Good/Reasonably good/Basic use of scenarios, case studies, or examples # No use of scenarios, case studies, or examples, other than opening scenario <!-- Learning features – Quizzes --> # Excellent/Very good/Good/Reasonably good/Basic use of quiz(zes) and/or reflection question(s) # The quiz questions could be improved by being more focused on the key points and/or take-home messages # The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end # Make the quiz questions more interactive by using the [[Help:Quiz|quiz]] feature # The reflection questions could be made more interactive by using a drop-down box that the reader can expand to see an answer/prompt to figure out the answers to the questions (e.g., see [[Motivation and emotion/Book/2026/Immersive therapy for PTSD treatment|this chapter]]) # No use of quiz(zes) and/or reflection question(s) <!-- Learning features – See also --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient/No use of the [[{{PAGENAME}}#See also|See also]] section ## Use the format shown in the [[Template:Motivation and emotion/Book chapter structure#See also|template]] ## Use bullet points per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Rename links per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Use internal linking style per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Also include links to [[Motivation and emotion/Book|related book chapters]] ## Also include links to related Wikipedia articles ## Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] ## Use alphabetical order ## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link ## Move peer-reviewed articles into the [[{{PAGENAME}}#References|References]] section and cite ## Move external links into the [[{{PAGENAME}}#References|External links]] section ## Add more links # [[{{PAGENAME}}#See also|See also]] section not counted for marking purposes due to being over the maximum word count <!-- Learning features – External links --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient/No use of the [[{{PAGENAME}}#External links|External links]] section ## Use the format shown in the [[Template:Motivation and emotion/Book chapter structure#External links|template]] ## Use bullet points per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Rename links per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] ## Use alphabetical order ## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link ## Move Wikipedia/Wikiversity links to the [[{{PAGENAME}}#See also|See also]] section ## Move peer-reviewed articles to the [[{{PAGENAME}}#References|References]] section and cite ## Target an international audience ## Add more links ## Link to the top 3-6 external resources about this topic # [[{{PAGENAME}}#External links|External links]] section not counted for marking purposes due to being over the maximum word count |9= <!-- Social contribution comments... --> # ~ logged, useful, mostly minor/moderate/major contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]] # ~ logged contributions without [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]], so unable to easily verify and assess. See [[Motivation and emotion/Tutorials|tutorials]] for guidance about how to get direct links to evidence. # Thanks for the Wiki Commons uploads # Thanks very much for your extensive contributions # Use a numbered list per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] # No logged contributions }} ~~~~ </pre></small></small></small> gives <!-- Official book chapter feedback --> {{MEBF/2026 |1= <!-- Overall comments... --> # This is an outstanding chapter that successfully integrates psychological theory and research in a highly readable way to address a practical, real-world phenomenon or problem # This is an excellent chapter that successfully uses psychological theory and research to address a practical, real-world phenomenon or problem # This is a very good chapter that makes very good use of psychological theory and research to address a real-world phenomenon or problem # This is a good chapter that makes good use of psychological theory and research to address a real-world phenomenon or problem # This is a reasonably good chapter that makes OK use of psychological theory and research to address a real-world phenomenon or problem # This is a basic chapter # This is an insufficient chapter # The main area(s) for potential improvement: #* use the best psychological theory about the topic #* more detailed review of the best psychological research about the topic #* quality of written expression #* tackle the target topic more directly; this chapter [[wikt:beat around the bush|beats around the bush]] #* integrate more strongly with other chapters by using embedded links to related topics #* more substantial engagement in social contribution #* overuse of unacknowledged [[Motivation and emotion/Assessment/Using generative AI]]—express more in your own words #* I suspect that the [[Motivation and emotion/Assessment#Assessment items|recommended 75 hours]] were not invested in preparing this chapter <!-- Overall - Edit summaries --> #* Excellent use of [[Motivation and emotion/Wikiversity/Edit summary|edit summaries]] to clearly communicate the changes made in most or all of the main edits #* Very good use of [[Motivation and emotion/Wikiversity/Edit summary|edit summaries]] to communicate the changes made in most or all of the main edits #* [[Motivation and emotion/Wikiversity/Edit summary|Edit summaries]] are used to communicate the changes for most edits, but would ideally be more descriptive and extensive #* Use more specific [[Motivation and emotion/Wikiversity/Edit summary|edit summaries]] to clearly communicate the changes made in each edit #* Insufficient use of [[Motivation and emotion/Wikiversity/Edit summary|edit summaries]] to describe the changes made in each edit <!-- Overall - GenAI --> #* This chapter appears to be human-written #* [[Motivation and emotion/Assessment/Using generative AI|GenAI use]] is appropriately acknowledged #* There is likely unacknowledged use of [[Motivation and emotion/Assessment/Using generative AI|use of genAI]]; if so, this violates principles of academic integrity #* In some places, there is overreliance on genAI #* There may be unacknowledged use of [[Motivation and emotion/Assessment/Using generative AI|use of genAI]] #* There is insufficient acknowledgement in [[Motivation and emotion/Wikiversity/Edit summary|Motivation and emotion/Wikiversity/Edit summary]], with a link to the chatbot conversation, when adding [[Motivation and emotion/Assessment/Using generative AI|genAI output]]; this violates academic integrity principles #* [[Motivation and emotion/Assessment/Using generative AI|GenAI use]] has not been appropriately acknowledged in [[Motivation and emotion/Wikiversity/Edit summary|edit summaries]] with links to the conversation sources despite previous feedback about this issue. Unacknowledged use of GenAI-generated content raises concerns about compliance with academic integrity principles and assessment requirements and [[Wikiversity:Artificial intelligence|Wikiversity's artificial intelligence policy]]. <!-- Overall – Citations --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient use of academic, peer-reviewed citations to support claims # Only cite sources that you consult # All citations need to be in the References <!-- Overall – Word count --> # Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand # Over the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]]. Content beyond 4,000 words has been ignored for marking purposes. <!-- Overall – Copy edits --> # For additional feedback, see the following comments and [ these cop yedits] |2= <!-- Overview – Comments... --> # Excellent/Very good/Good/Reasonably good/Basic/Underdeveloped <!-- Overview – Scenario --> <!-- Overview – Scenario - Description --> # Engaging scenario or case study # Reasonably good scenario or case study; could be more compelling # Basic scenario or case study # The written expression for the scenario needs improvement to be of a professional standard # Use a more practical, real-life scenario; move review of research into a subsequent section # Use an example that a wider audience can relate to; less than 5% of the world population are university students # Add an engaging case study or scenario <!-- Overview – Scenario - Figure --> # Figure 1 is relevant to the scenario # Figure 1 could be more relevant to the scenario # Figure 1 lacks relevance to the scenario # The Figure 1 caption should explain more clearly how it is related to the scenario # Instead of a diagram, use <!-- Overview – Scenario - Feature box --> # The scenario uses an appropriate feature box # Put the scenario in a feature box <!-- Overview – Explains problem --> # Clearly explains the psychological problem or phenomenon # Explains the psychological problem or phenomenon reasonably well/in a basic way # Briefly explains the psychological problem or phenomenon; provide more detail # Description of problem is too long or vague or overly complicated—explain the psychological problem or phenomenon in a simpler way. Move detail into subsequent sections. # Insufficient explanation of the psychological problem or phenomenon # Clarity of written expression can be improved # Convert the explanation of the problem from bullet-points into sentences and paragraphs <!-- Overview – Focus questions --> # The focus questions are excellent (clear and relevant) # The focus questions are very good/good/reasonably good/basic/promising/insufficient # The focus questions could be improved by: ## being more specific to the topic (i.e., the sub-title) ## matching the top-level headings more closely ## being [[w:Open-ended question|open-ended]] rather than [[w:Closed-ended question|closed-ended]] ## splitting double-barrelled questions into separate questions ## using bullet points as taught in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## being presented in a feature box to help guide the reader (fixed) # Add focus questions in a feature box # See copy edits for examples of possible improvements |3= <!-- Theory comments... --> <!-- Theory – Breadth --> # Excellent—key theories are very well explained and applied # Very good—key theories are well explained and applied; minor areas for improvements # Good—key theories are quite explained and applied; minor to moderate areas for improvements # Reasonably good—relevant theories are selected, described, and applied, with some room for improvement # Basic—a basic range of relevant theories are selected, described, and explained; there is considerable room for improvement # A promising range of ideas are presented but it is far from clear how this material is derived from a first person reading of the best peer-reviewed psychological theory and research about this topic # Insufficient use of relevant psychological theory about this topic # Reduce general theoretical background (e.g., definitions). Instead, summarise and link to related resources (i.e., other book chapters and/or Wikipedia articles). Increase emphasis on [[wikt:substantive|substantive]] aspects of theory that relate directly to the specific topic (i.e., the sub-title question). <!-- Theory – Builds on --> # Builds exceptionally well on [[w:|Wikipedia]] articles and related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds effectively on [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds reasonably well on [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds somewhat on other [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds in a basic way on [[w:|Wikipedia]] articles and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Builds on one [[w:|Wikipedia]] article and/or/but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Build more strongly on [[w:|Wikipedia]] articles and related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms # Doesn't build on [[w:|Wikipedia]] articles and related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms <!-- Theory – Depth --> # Insightful/Very good/Good/Reasonably good/Basic/Insufficient depth is provided about key theory(ies) <!-- Theory – Tables/Figures/Lists --> # Excellent/Very good use of tables, figures, and/or lists to clearly convey key theoretical information # Good/Reasonably good/Basic/Insufficient/No use of tables, figures, and/or lists to convey key theoretical information # The sources(s) of information presented in tables lacks sufficient citation <!-- Theory – Citations --> # Key citations are well used # In some/many places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological theory about the topic. # Insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags) # If you didn't consult an original source (e.g., ?), cite it as a [https://apastyle.apa.org/style-grammar-guidelines/citations/secondary-sources secondary source] # If you didn't consult an original source, don't cite it <!-- Theory – Examples --> # Excellent/Very good/Good/Reasonably good/Basic use of examples to illustrate theoretical concepts # Consider using more examples to illustrate theoretical concepts # Use more examples to illustrate theoretical concepts # Insufficient use of examples to illustrate theoretical concepts |4= <!-- Research comments... --> <!-- Research – Key findings --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient review of relevant research # Excellent emphasis on systematic reviews and/or meta-analyses # Some emphasis on systematic reviews and/or meta-analyses; more emphasis would be ideal # Insufficient use of relevant systematic reviews and/or meta-analyses # More detail about key studies would be ideal # More recent research would be ideal # Claims are well referenced # In some/many places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological science about the topic. # Insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags) <!-- Research – Critical thinking --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident # [[w:Critical thinking|Critical thinking]] about research could be further evidenced by: ## describing the methodology (e.g., sample, country, measures) in important studies ## considering the strength of relationships ## acknowledging limitations ## pointing out specific critiques/counterarguments ## suggesting ''specific'' directions for future research |5= <!-- Integration comments... --> # Excellent/Very good/Good/Reasonably good/Insufficient integration between the most relevant theory(ies) and the best research # Basic, formulaic # The chapter places more emphasis on theory than on research; strive for an integrated balance # Rather than describing individual studies separately, synthesise findings across related studies to identify common themes, patterns, and differences in the evidence # The chapter could be strengthened through deeper integration with related [[Motivation and emotion/Book|chapters]] by including more embedded links # Insufficient integration with related [[Motivation and emotion/Book|chapters]] |6= <!-- Conclusion comments... --> # Excellent/Very good/Good/Reasonably good/Basic summary and conclusion # Insufficient as a cohesive summary of the best psychological theory and research about the topic # Reads like generic [[Motivation and emotion/Assessment/Using generative AI|genAI output]]; write more compellingly in your own words # Is this section based on [[Motivation and emotion/Assessment/Using generative AI|genAI output]]? If so, this was not acknowledged in the [[Motivation and emotion/Wikiversity/Edit summary|edit summary]]. # Highlights the importance of the problem or phenomenon of interest # Highlight the importance of the problem or phenomenon of interest <!-- Conclusion – Key points --> # Key points are well summarised # Key points are summarised in a basic way # Summarise key points <!-- Conclusion – Focus questions --> # The focus questions are addressed # Take-away messages for each focus question could be spelt out more clearly # Address the focus questions <!-- Conclusion – Take-home messages --> # Clear take-home message(s) # Somewhat clear take-home message(s) # Add practical, take-home message(s) <!-- Conclusion – Word count --> # Not counted for marking purposes due to the chapter being over the maximum word count |7= <!-- Style comments... --> <!-- Style – Written expression --> # Written expression ## The quality of written expression is excellent/very good/good/reasonably good/basic ## The quality of written expression is reasonably good, but appears to be based on overuse of insufficiently acknowledged genAI content; a more convincing chapter would either use more human-written words and/or use finer-grained acknowledgement of genAI with publicly available links to the chatbot conversations as per the [[Motivation and emotion/Assessment/Using generative AI|unit's using genAI guidelines]] ## The quality of written expression is OK but there are several aspects which are below professional standard ## The quality of written expression is below professional standard. [https://www.canberra.edu.au/current-students/study-skills UC Study Skills] assistance is recommended to help improve writing skills. ### GenAI is over-used; write more in your own words, based on your own knowledge based on reading the primary sources ## Use active (e.g., "this chapter explores" or "this chapter explored") rather than passive voice (e.g., "this chapter will explore" or "this chapter has explored") [https://apastyle.apa.org/style-grammar-guidelines/grammar/active-passive-voice][https://www.grammarly.com/blog/active-vs-passive-voice/] ## Target an ''international'' rather than domestic national audience. [http://www.worldometers.info/world-population/australia-population/ Only 0.3% of the world human population lives in Australia]. ## Reduce excessive use of bold font <!-- Style – Sentences --> ## Some/Many sentences could be explained more clearly (e.g., see {{vague}}, {{explain}}, {{rewrite}} etc. tags); consider using [https://www.studiosity.com/students/ Studiosity] for targetted feedback to help improve the quality of written expression ## Some/Many sentences are overly long. Strive for the simplest expression. Consider splitting longer sentences into two shorter sentences. Shorter words and sentences are more [[w:Readability|readable]]. Try conducting a readability analysis such as via https://www.webfx.com/tools/read-able/. This chapter gets a score of . Aim for 50+. ## Avoid starting sentences with a citation unless the author is particularly pertinent. Instead, it is more interesting for the the content/key point to be communicated, with the citation included along the way or, more typically, in [[w:Bracket#Parentheses|parentheses]] at the end of the sentence. <!-- Style – Paragraphs --> ## Some paragraphs are overly long. Communicate one key idea per paragraph in three to five sentences. ## Avoid one sentence paragraphs. Communicate one idea per paragraph using three to five sentences. ## Bullet points are overused. Use full sentences and paragraphs. <!-- Style – Language --> ## Use [https://www.grammarly.com/blog/first-second-and-third-person/ 3rd person perspective] (e.g., "it") instead of 1st (e.g., "we") or 2nd person (e.g., "you") in the main text. 1st of 2nd person can work well for case studies or feature boxes. ## Avoid directional phrases such as “as previously mentioned” or “as noted above”, which add little value and can interrupt the flow of writing. Where cross-referencing is necessary, use [[w:Help#Section linking|section links]] to guide readers to the relevant content. ## Embed direct quotes within sentences and paragraphs, rather than presenting them [[wikt:holus-bolus|holus-bolus]] ## "Individuals" is overused. "People" is usually a clearer term than "individuals". Use ''individuals'' to highlight each person separately (e.g., “individual test scores”) and ''people'' when referring to humans more generally. ## Remove [[w:weasel words|weasel words]]—they add bulk without improving meaning ## Use permanent, rather than relative, time references. For example, instead of "20 years ago", refer to something like "at the beginning of the 21st century". In this way, the text will survive better into the future, without needing to be rewritten. ## Avoid overly emotive language (e.g,. *) in science-based communication <!-- Style – Layout --> # Layout ## The chapter is well structured, with major sections using sub-sections ## The headings could be more clearly aligned with the focus questions ## The structure is overly complicated; simplify and integrate ## The structure is overly complicated; aim for 3 to 6 top-level headings between the Introduction and Conclusion ## The chapter structure is underdeveloped; expand by using subheadings ## Avoid having sections with 1 sub-heading – use 0 or 2+ sub-headings ## Use the default heading style (e.g., remove additional numbers, italics, bo]ld, and/or change in font size) ## See earlier comment about [[#Heading casing|heading casing]] ## Provide more descriptive headings ## Move links from headings into their first mention in text ## Remove abbreviations/citations from headings ## Include an introductory paragraph before branching into the sub-sections ## Integrate research rather than having it as a stand-alone section(s) ## Integrate (embed) learning features such as quizzes, without their own headings, rather than having them as stand-alone sections ## The Overview and Conclusion should not have subheadings (fixed) ## Remove colons (:) from the ends of headings <!-- Style – Grammar --> # Grammar and spelling are excellent # Grammar ## The grammar for some/many sentences could be improved (e.g., see {{g}} tags); consider using a grammar checking tool, [https://www.studiosity.com/students/ Studiosity], and/or peer feedback ## Improve the clarity and flow of the writing by checking and correct use of commas. See [https://www.grammarly.com/blog/comma/ Grammarly's guide to using commas]. ## [https://www.grammarly.com/blog/punctuation-capitalization/possessive-apostrophe/ Possessive apostrophes] are not used correctly (e.g., cats vs cat's vs cats') ## Check and correct use of [https://www.google.com.au/search?q=grammar+that+vs+who that vs. who] ## Check and correct use of [https://www.google.com.au/search?q=affect+vs.+effect+grammar affect vs. effect] ## Check and correct use of [http://www.colonsemicolon.com/ semicolons (;) and colons (:)] ## Use past tense when describing research studies, although implications of findings could be in the present tense <!-- Style – Abbreviations --> ## Abbreviations ### Only use abbreviations such as e.g., i.e., et al., etc. inside [[w:Bracket#Parentheses|parentheses]], otherwise spell them out ### Check and correct formatting of abbreviations (such as e.g., i.e., etc.) ### Use abbreviations sparingly. Do not use abbreviations for minor/infrequently used terms. ### Explain abbreviations on first use: Spell out each abbreviation when it first appears (e.g., self-determination theory (SDT)), to ensure readers understand the term before its subsequent use ### Once an abbreviation has been established (e.g., PTSD), use it consistently afterwards ### Only introduce abbreviations which are subsequently used <!-- Style – Spelling --> # Spelling ## Use [https://www.abc.net.au/education/learn-english/australian-vs-american-spelling/11244196 Australian spelling] (e.g., hypothesize vs. hypothesise; behavior vs. behaviour) ## Some words are misspelt (e.g., see the {{sp}} tags). Spell-checking tools are available in most internet browsers and word processing software packages. <!-- Style – Copy editing --> # Copy editing ## Further [[w:Copy editing|copy editing]] is needed to improve written expression and bring the chapter closer to a professional standard (e.g., correcting punctuation, spelling, grammar, and typographical errors).## Remove unnecessary capitalisation – [https://polishedpaper.com/blog/capitalization-apa-style more info] <!-- Style – APA style --> # APA style ## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY] (also known as the Oxford comma) ## Use [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies sentence casing (not capitals) for disorders, therapies, theories, etc.] ## [https://apastyle.apa.org/style-grammar-guidelines/numbers Express numbers under 10 using words (e.g., two) and 10 and over using numerals (e.g., 99)] <!-- Style – APA style - Quotes --> ## Use double (not single) quotation marks "to introduce a word or phrase used ... as slang, or as an invented or coined expression" ([https://apastyle.apa.org/products/publication-manual-7th-edition APA Style 7th ed.], 2020, p. 159) ## "Use quotation marks only for the first occurrence of the word or phrase, not for subsequent occurrences" ([https://apastyle.apa.org/products/publication-manual-7th-edition APA Style 7th ed.], 2020, p. 159) ## Direct quotes need page numbers—even better, communicate about concepts in your own words ## Direct quotes are overused—it is better to communicate about concepts in your own words <!-- Style – Figures --> ## Figures ### Very well/Well/Reasonably well captioned ### Brief captions; provide more detail to help connect the figure to the text ### Use this format for captions: '''Figure X'''. Descriptive caption goes here in sentence casing without bold or italics. [[Motivation and emotion/Assessment/Chapter/Figures|See example]]. ### Add captions <!-- Style – Figures - Citations --> ### Each Figure is referred to at least once within the main text using APA style ### Each Figure is referred to at least once within the main text. Refer to each Figure using APA style (e.g., "(see Figure 1)"; do not use bold, italics, check and correct capitalisation). ### Refer to each Figure at least once within the main text (e.g., "(see Figure 1)") <!-- Style – Figures - Other --> ### Some image uploads were removed because of a lack of sufficient/appropriate copyright information ### Numbering needs correcting ### Adjust some image sizes to make them easier to read (increase size) and/or less dominant (decrease size) <!-- Style – Tables --> ## Table(s) ### Very well/Well/Reasonably well captioned ### Brief caption(s); provide more explanatory detail about the table ### Use APA style for the caption(s) ([[Motivation and emotion/Assessment/Chapter/Tables|see example]]) ### Add APA style caption(s) ([[Motivation and emotion/Assessment/Chapter/Tables|see example]]) ### The source(s) of the information presented in one or more tables needs acknowledgement <!-- Style – Tables - Citations --> ### Each Table is referred to at least once within the main text using APA style ### Each Table is referred to at least once within the main text ### Refer to each Table using APA style (e.g., do not use bold, italics, check and correct capitalisation) ### Refer to each Table at least once within the main text (e.g., see Table 1) <!-- Style – Citations --> # Citations use excellent [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)] # Citations use very good/good/reasonably good/basic/poor [https://apastyle.apa.org/products/publication-manual-7th-edition APA Style (7th ed.)] # In some/many places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags) ## If there are three or more authors, cite the first author followed by et al., then year. For example, either: ### in-text, Smith et al. (2020), or ### in [[w:Bracket#Parentheses|parentheses]] (Smith et al., 2020) ## Do not include author first name or initials ## Use ampersand (&) inside [[w:Bracket#Parentheses|parentheses]] and "and" outside parentheses ## List multiple citations in alphabetical order by first author surname (e.g., Giraffe, 2024; Zebra & Aardvark, 2020) ## A full stop is needed after "et al" (i.e., "et al.") because it is an abbreviation of [[wikt:et alii|et alii]] ## Use a comma between the author(s) and year for citations in [[w:Bracket#Parentheses|parentheses]] ## Select up to a maximum of three citations per point (i.e., avoid citing four or more citations to support a single point) ## Check and correct placement of full-stops ## Move embedded links to academic peer-reviewed sources into the [[{{PAGENAME}}#References|References]] as APA style citations with hyperlinked dois ## Move embedded links to non-peer reviewed sources into the [[{{PAGENAME}}#External links|External links]] section; only cite peer-reviewed sources # For citations, use APA style or wiki style, but not both # Secondary citations are overused; strive to consult primary sources <!-- Style – References --> ## References use excellent/very good/good/reasonably good/basic/poor APA style: ### Check and correct use of italicisation ### Check and correct use of capitalisation[https://apastyle.apa.org/style-grammar-guidelines/capitalization] ### Separate page numbers using an [[w:Dash#En dash|en dash]] (–) rather than a hyphen (-) ### Include dois where available ### Hyperlink dois for 1-click access ### Provide the full titles of journals ### Remove "Retrieved from " ### Use alphabetical order ### Move Wikipedia links into the [[{{PAGENAME}}#See also|See also]] section ### Move non-peer reviewed sources into the [[{{PAGENAME}}#External links|External links]] section ### Remove bullet-points; add hanging indent ### More copy editing is needed to fix formatting inconsistencies <!-- Feedback responsiveness ---> ## No evidence of responsiveness to feedback on talk page |8= <!-- Learning features comments... --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient use of learning features <!-- Learning features – Wikipedia embedded links --> # Excellent use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles # Very good/Good/Reasonably good/Basic/One use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. # Use [[m:Help:Interwiki linking|interwiki links]] (rather than external links) to Wikipedia articles, per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] <!-- Internal link style --> # Add embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding interwiki links for the first mention of key words and technical concepts would make the text more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. <!-- Learning features – Wikiversity embedded links --> # Excellent use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]] # Very good/Good/Reasonably good/Basic/One use of embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. # Use in-text [[m:Help:Interwiki linking|interwiki links]], rather than external links to Wikiversity chapters, per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] # Move embedded links to non-peer-reviewed sources to the [[{{PAGENAME}}#External links|External links]] section # Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. <!-- Learning features – Figures, tables, feature boxes, scenarios --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient/No use of figure(s) # Excellent/Very good/Good/Reasonably good/Basic/No use of table(s) # Excellent/Very good/Good/Reasonably good/Basic use of feature box(es) # No use of feature boxes other than the opening scenario # Excellent/Very good/Good/Reasonably good/Basic use of scenarios, case studies, or examples # No use of scenarios, case studies, or examples, other than opening scenario <!-- Learning features – Quizzes --> # Excellent/Very good/Good/Reasonably good/Basic use of quiz(zes) and/or reflection question(s) # The quiz questions could be improved by being more focused on the key points and/or take-home messages # The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end # Make the quiz questions more interactive by using the [[Help:Quiz|quiz]] feature # The reflection questions could be made more interactive by using a drop-down box that the reader can expand to see an answer/prompt to figure out the answers to the questions (e.g., see [[Motivation and emotion/Book/2026/Immersive therapy for PTSD treatment|this chapter]]) # No use of quiz(zes) and/or reflection question(s) <!-- Learning features – See also --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient/No use of the [[{{PAGENAME}}#See also|See also]] section ## Use the format shown in the [[Template:Motivation and emotion/Book chapter structure#See also|template]] ## Use bullet points per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Rename links per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Use internal linking style per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Also include links to [[Motivation and emotion/Book|related book chapters]] ## Also include links to related Wikipedia articles ## Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] ## Use alphabetical order ## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link ## Move peer-reviewed articles into the [[{{PAGENAME}}#References|References]] section and cite ## Move external links into the [[{{PAGENAME}}#References|External links]] section ## Add more links # [[{{PAGENAME}}#See also|See also]] section not counted for marking purposes due to being over the maximum word count <!-- Learning features – External links --> # Excellent/Very good/Good/Reasonably good/Basic/Insufficient/No use of the [[{{PAGENAME}}#External links|External links]] section ## Use the format shown in the [[Template:Motivation and emotion/Book chapter structure#External links|template]] ## Use bullet points per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Rename links per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] ## Use alphabetical order ## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link ## Move Wikipedia/Wikiversity links to the [[{{PAGENAME}}#See also|See also]] section ## Move peer-reviewed articles to the [[{{PAGENAME}}#References|References]] section and cite ## Target an international audience ## Add more links ## Link to the top 3-6 external resources about this topic # [[{{PAGENAME}}#External links|External links]] section not counted for marking purposes due to being over the maximum word count |9= <!-- Social contribution comments... --> # ~ logged, useful, mostly minor/moderate/major contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]] # ~ logged contributions without [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]], so unable to easily verify and assess. See [[Motivation and emotion/Tutorials|tutorials]] for guidance about how to get direct links to evidence. # Thanks for the Wiki Commons uploads # Thanks very much for your extensive contributions # Use a numbered list per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] # No logged contributions }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 09:47, 10 October 2026 (UTC) ==See also== * [[Motivation and emotion/Assessment/Chapter|Book chapter guidelines]] * [[Template:METF]] * [[Template:MEMF]] [[Category:Motivation and emotion/Admin/2026]] [[Category:Motivation and emotion/Assessment/Chapter]] </noinclude> bi9n9ipglve3hznmkw1wduvd50z181b 0 330494 2844202 2842827 2026-11-03T13:59:45Z ShakespeareFan00 6645 2844202 wikitext text/x-wiki <big>The John Snow prediabetes Institute is an international research network focused on evidence based prediabetes remission, early risk identification, and lifestyle health promotion. (https://w.wiki/Skm7).</big> '''<big>Background:</big>''' <big>Millions are at increased risk of developing metabolic syndromes with arteriosclerosis, pre-diabetes, type 2 DM, hypertension and overweight (General Research Draft). <ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref> All can lower their risks by staying physical active and eating well. Early diagnosis and education of pre-diabetes is a cost-effective preventive strategy that can improve long-term health outcomes. The aim is to get repeated prevalence studies based on data from the academic literature. One possibility is to contact the authors with request to reanalyse the data to identify the highest risk groups. Another possibility is to get the data from the schools for -seafarers, -nurses and medical students. The 16-weeks '''intervention study''' include learning by video sequences and self-monitoring of blood sugar with Glukometer and self-evaluation of diet and physical activity <ref>https://www.sciencedirect.com/science/article/abs/pii/S1751991825001068 </ref>. The very challenging intervention studies include the AI-Digital lifestyle programs.<ref> «Digital Lifestyle Program Cuts Diabetes Risk by 46% in Prediabetics, Study of 130k+ Adults Reveals». News-Medical, 14 de abril de 2025. https://www.news-medical.net/news/20250414/Digital-lifestyle-program-cuts-diabetes-risk-by-4625-in-prediabetics-study-of-130k2b-adults-reveals.aspx.</ref> Educational materials is available from the international diabetes organisations e.g the ADA:<ref>https://professional.diabetes.org/diabetes-support-resources</ref> and the Health Promoting Schools.<ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big>[[File:Lifestyle Medicine Pillars.png|250px|right| <big>Lifestyle Medicine Pillars.png The focus of Lifestyle Medicine is on these 6 pillars</big> ]]'''<big>Prevalence studies</big>''' [[/The Maritime Health database design // |<big>1.1 The Maritime Health database design</big>]] <big>1.2 Nursing Students Health Database <ref> https://www.dropbox.com/scl/fi/tcznmmd2y3nona5e3h1ro/The-Nursing-students-health-database.docx?cloud_editor=word&dl=0&rlkey=onbjh4o8ko1lzdvgyi8nlrotk </ref></big> <big>1.3. Medical student's Health Database <ref>https://www.dropbox.com/scl/fi/f16h9b60u4gxgt56un2jf/The-Medical-students-Health-database.docx?cloud_editor=word&dl=0&rlkey=xyfqen5trdc5lniaovipl548n </ref></big> <big>1.4. School childrens` Health database <ref> https://www.dropbox.com/scl/fi/u6u50c8bxwhte9t2t6ck8/The-School-children-s-Health-database.docx?cloud_editor=word&dl=0&rlkey=zlyz5wn673wf7owettq3nx3h5 </ref></big> <big>1.5 Excel recoding (pre diabetes, hypertension etc) <ref>https://www.dropbox.com/scl/fi/9qvqeccto2kbuqvx7mdkl?r=ACsntb2AuiFkJbEBLObVdo0HMD67UZBBUGCGl1RPCPy1X5Y3K3e9Lf4s7cG7i7E_iH0IK-WkynXw_FNCDWybHuCgaNl_OM8yche2w2aapJGk5BTHybbsLpLayBU8VKPPqxNa2zDaNslBdQg0MhmKTFSG</ref></big> <big>'''Personal prevention''' Personal reversal of prediabetes relies on targeted lifestyle changes like eating a healthy diet, exercising regularly, and losing a modest amount of excess weight. (local Diabetes Associations)</big> <span lang="en" dir="ltr"><big>'''Core Institutional Strategies''' Health authorities and organizations implement group-based or digital programs. The workplaces are prompted to make targeted interventions, including nutrition and exercise programs, to safeguard long-term cardiometabolic health in the workforces.</big></span> <big>16 weeks human caused Intervention studies: English <ref>https://www.dropbox.com/scl/fi/oi6cx6tlwwvoko3ed37tn/Invitation-to-the-course-English.docx?cloud_editor=word&dl=0&rlkey=7kzg91tqfgjskxf5aji8khicx </ref> Danish <ref>https://www.dropbox.com/scl/fi/2qahc3q9hmf4skbvk77ab/Invitation-to-the-course-in-Danish.docx?cloud_editor=word&dl=0&rlkey=x63w8oqvarz284zg2btq2johv </ref> Spanish <ref> https://www.dropbox.com/scl/fi/bn71inqeeth4o4mc1fjth/Invitation-to-the-course-Spanish.docx?cloud_editor=word&dl=0&rlkey=popmr1fnodh1v951v9l7k9ezv </ref> and '''AI-Powered Lifestyle Intervention''' in the Diabetes Prevention <ref>Mathioudakis, Nestoras, Benjamin Lalani, Mohammed S. Abusamaan, et al. «An AI-Powered Lifestyle Intervention vs Human Coaching in the Diabetes Prevention Program: A Randomized Clinical Trial». JAMA 334, n.º 23 (2025): 2079-89. https://doi.org/10.1001/jama.2025.19563.</ref></big> '''<big>Organisation</big>''' <big>- [[/The John Snow Institute bylaws /|The John Snow Institute bylaws]]</big> <big>- General research protocol draft <ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref></big> <big>- Health Promoting Schools <ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big> [[Category:Prediabetes ]] [[Category:Prediabetes ]] <big>'''Publications''' <ref name=":0"> https://www.dropbox.com/scl/fi/mw7ft423lkkpjoxywd2bf </ref></big> '''The John Snow Prediabetes Institute Research Network:''' <small>Prof. Dr. Olaf Jensen, MD, MPH, PhD; Prof. Ing. MSc. Nailet Delgado Mujica; Prof. Magda Medir Mb, Tarragona Spain, Prof. MSc.Ph.D. Bishal Gyawali SDU; MSc.PhD Vivi Just-Nørregaard; Prof. Dr. Johan Hviid Andersen MD, PhD. Århus University; Prof. MSc. Agnes Flores, UMECIT, Panama; Bruno Nørdam, Randers; Maritime Doctor. Erik Haarløv MD, Assens, Denmark; Dr. Maite Duque MD Venezuela; Dr. Indira Santos Panama MD; Med.Stud. Ashley Lezcano, Panama; Dr. Joseph Abesamis MD Filippines; Dr. Jen Mendoza, MD, Filippines; Dra.Marj Gab Huerte, MD, Filippines:</small> <small>Dr. Andra Ergle MD, Latvia; Prof. MSc. Ingrid Morató, Tarragona and Cadiz, Spain; Dr. Alejandro Martinez, MD, MPH, Costa Rica; Christian Acheampong, MBA, New Jersey US; Dr. Med. Sci Finn Gyntelberg NFA.and Bispebj. Hosp. Denmark: Dr. Solomon Ching MD Filippines: Dr. Marcel Alcaraz MD Filippines;</small> ==References== rd03ui606zn45oj3vr3py9a1fdtyzzj 2844447 2844202 2026-11-04T11:06:25Z JSINST 3110286 2844447 wikitext text/x-wiki <big>The John Snow prediabetes Institute is an international research network focused on early risk identification of the metabolic syndrome in the early ages for remission, by lifestyle health promotion. (https://w.wiki/Skm7).</big> '''<big>Background:</big>''' <big>Millions are at increased risk of developing metabolic syndrome starting with arteriosclerosis, pre-diabetes, type 2 Diabetes Mellitus, pre hypertension, hypertension and overweight before the age of 30.<ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref> Early diagnosis and prevention is a cost-effective preventive strategy that can improve long-term health outcomes. The aim is to get repeated prevalence studies as example from the schools for -seafarers, -nurses and medical students. Alternatively, data from the academic literature can be used by asking the authors to reanalyse their data to identify the risk groups. The 16-weeks '''intervention study''' include learning by video sequences and self-monitoring of blood sugar with Glukometer and self-evaluation of diet and physical activity <ref>https://www.sciencedirect.com/science/article/abs/pii/S1751991825001068 </ref>. The very challenging intervention studies include the AI-Digital lifestyle programs.<ref> «Digital Lifestyle Program Cuts Diabetes Risk by 46% in Prediabetics, Study of 130k+ Adults Reveals». News-Medical, 14 de abril de 2025. https://www.news-medical.net/news/20250414/Digital-lifestyle-program-cuts-diabetes-risk-by-4625-in-prediabetics-study-of-130k2b-adults-reveals.aspx.</ref> Educational materials is available from the international diabetes organisations e.g the ADA:<ref>https://professional.diabetes.org/diabetes-support-resources</ref> and the Health Promoting Schools.<ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big>[[File:Lifestyle Medicine Pillars.png|250px|right| <big>Lifestyle Medicine Pillars.png The focus of Lifestyle Medicine is on these 6 pillars</big> ]]'''<big>Prevalence studies</big>''' [[/The Maritime Health database design // |<big>1.1 The Maritime Health database design</big>]] <big>1.2 Nursing Students Health Database <ref> https://www.dropbox.com/scl/fi/tcznmmd2y3nona5e3h1ro/The-Nursing-students-health-database.docx?cloud_editor=word&dl=0&rlkey=onbjh4o8ko1lzdvgyi8nlrotk </ref></big> <big>1.3. Medical student's Health Database <ref>https://www.dropbox.com/scl/fi/f16h9b60u4gxgt56un2jf/The-Medical-students-Health-database.docx?cloud_editor=word&dl=0&rlkey=xyfqen5trdc5lniaovipl548n </ref></big> <big>1.4. School childrens` Health database <ref> https://www.dropbox.com/scl/fi/u6u50c8bxwhte9t2t6ck8/The-School-children-s-Health-database.docx?cloud_editor=word&dl=0&rlkey=zlyz5wn673wf7owettq3nx3h5 </ref></big> <big>1.5 Excel recoding (pre diabetes, hypertension etc) <ref>https://www.dropbox.com/scl/fi/9qvqeccto2kbuqvx7mdkl?r=ACsntb2AuiFkJbEBLObVdo0HMD67UZBBUGCGl1RPCPy1X5Y3K3e9Lf4s7cG7i7E_iH0IK-WkynXw_FNCDWybHuCgaNl_OM8yche2w2aapJGk5BTHybbsLpLayBU8VKPPqxNa2zDaNslBdQg0MhmKTFSG</ref></big> <big>'''Personal prevention''' Personal reversal of prediabetes relies on targeted lifestyle changes like eating a healthy diet, exercising regularly, and losing a modest amount of excess weight. (local Diabetes Associations)</big> <span lang="en" dir="ltr"><big>'''Core Institutional Strategies''' Health authorities and organizations implement group-based or digital programs. The workplaces are prompted to make targeted interventions, including nutrition and exercise programs, to safeguard long-term cardiometabolic health in the workforces.</big></span> <big>16 weeks human caused Intervention studies: English <ref>https://www.dropbox.com/scl/fi/oi6cx6tlwwvoko3ed37tn/Invitation-to-the-course-English.docx?cloud_editor=word&dl=0&rlkey=7kzg91tqfgjskxf5aji8khicx </ref> Danish <ref>https://www.dropbox.com/scl/fi/2qahc3q9hmf4skbvk77ab/Invitation-to-the-course-in-Danish.docx?cloud_editor=word&dl=0&rlkey=x63w8oqvarz284zg2btq2johv </ref> Spanish <ref> https://www.dropbox.com/scl/fi/bn71inqeeth4o4mc1fjth/Invitation-to-the-course-Spanish.docx?cloud_editor=word&dl=0&rlkey=popmr1fnodh1v951v9l7k9ezv </ref> and '''AI-Powered Lifestyle Intervention''' in the Diabetes Prevention <ref>Mathioudakis, Nestoras, Benjamin Lalani, Mohammed S. Abusamaan, et al. «An AI-Powered Lifestyle Intervention vs Human Coaching in the Diabetes Prevention Program: A Randomized Clinical Trial». JAMA 334, n.º 23 (2025): 2079-89. https://doi.org/10.1001/jama.2025.19563.</ref></big> '''<big>Organisation</big>''' <big>- [[/The John Snow Institute bylaws /|The John Snow Institute bylaws]]</big> <big>- General research protocol draft <ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref></big> <big>- Health Promoting Schools <ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big> [[Category:Prediabetes ]] [[Category:Prediabetes ]] <big>'''Publications''' <ref name=":0"> https://www.dropbox.com/scl/fi/mw7ft423lkkpjoxywd2bf </ref></big> '''The John Snow Prediabetes Institute Research Network:''' <small>Prof. Dr. Olaf Jensen, MD, MPH, PhD; Prof. Ing. MSc. Nailet Delgado Mujica; Prof. Magda Medir Mb, Tarragona Spain, Prof. MSc.Ph.D. Bishal Gyawali SDU; MSc.PhD Vivi Just-Nørregaard; Prof. Dr. Johan Hviid Andersen MD, PhD. Århus University; Prof. MSc. Agnes Flores, UMECIT, Panama; Bruno Nørdam, Randers; Maritime Doctor. Erik Haarløv MD, Assens, Denmark; Dr. Maite Duque MD Venezuela; Dr. Indira Santos Panama MD; Med.Stud. Ashley Lezcano, Panama; Dr. Joseph Abesamis MD Filippines; Dr. Jen Mendoza, MD, Filippines; Dra.Marj Gab Huerte, MD, Filippines:</small> <small>Dr. Andra Ergle MD, Latvia; Prof. MSc. Ingrid Morató, Tarragona and Cadiz, Spain; Dr. Alejandro Martinez, MD, MPH, Costa Rica; Christian Acheampong, MBA, New Jersey US; Dr. Med. Sci Finn Gyntelberg NFA.and Bispebj. Hosp. Denmark: Dr. Solomon Ching MD Filippines: Dr. Marcel Alcaraz MD Filippines;</small> ==References== 02663etalklka9ynzgxoj9c7euenccn 2844449 2844447 2026-11-04T11:20:14Z JSINST 3110286 2844449 wikitext text/x-wiki <big>The John Snow prediabetes Institute is an international research network focused on early risk identification of prediabetes, prehypertension and the other types of metabolic syndrome in the early ages for remission, by lifestyle health promotion. (https://w.wiki/Skm7).</big> '''<big>Background:</big>''' <big>Millions are at increased risk of developing metabolic syndrome starting with arteriosclerosis, pre-diabetes, type 2 Diabetes Mellitus, pre hypertension, hypertension and overweight before the age of 30 without any simptomes.<ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref> Early diagnosis and prevention is possible and a cost-effective preventive strategy that can improve long-term health outcomes. The '''prevalence''' '''studies''' to identify the high risk groups is done by repeated studies from the adolescent's schools, as example for -seafarers, -nurses and medical students. Alternatively, data from the academic literature is used by asking the authors to reanalyse their data to identify the risk groups. The 16-weeks '''intervention study''' include learning by video sequences and self-monitoring of blood sugar with Glukometer and self-evaluation of diet and physical activity <ref>https://www.sciencedirect.com/science/article/abs/pii/S1751991825001068 </ref>. The new challenging intervention studies include the AI-Digital lifestyle programs.<ref> «Digital Lifestyle Program Cuts Diabetes Risk by 46% in Prediabetics, Study of 130k+ Adults Reveals». News-Medical, 14 de abril de 2025. https://www.news-medical.net/news/20250414/Digital-lifestyle-program-cuts-diabetes-risk-by-4625-in-prediabetics-study-of-130k2b-adults-reveals.aspx.</ref> Educational materials is available from the international diabetes organisations e.g the ADA:<ref>https://professional.diabetes.org/diabetes-support-resources</ref> and the Health Promoting Schools.<ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big>[[File:Lifestyle Medicine Pillars.png|250px|right| <big>Lifestyle Medicine Pillars.png The focus of Lifestyle Medicine is on these 6 pillars</big> ]]'''<big>Prevalence studies</big>''' [[/The Maritime Health database design // |<big>1.1 The Maritime Health database design</big>]] <big>1.2 Nursing Students Health Database <ref> https://www.dropbox.com/scl/fi/tcznmmd2y3nona5e3h1ro/The-Nursing-students-health-database.docx?cloud_editor=word&dl=0&rlkey=onbjh4o8ko1lzdvgyi8nlrotk </ref></big> <big>1.3. Medical student's Health Database <ref>https://www.dropbox.com/scl/fi/f16h9b60u4gxgt56un2jf/The-Medical-students-Health-database.docx?cloud_editor=word&dl=0&rlkey=xyfqen5trdc5lniaovipl548n </ref></big> <big>1.4. School childrens` Health database <ref> https://www.dropbox.com/scl/fi/u6u50c8bxwhte9t2t6ck8/The-School-children-s-Health-database.docx?cloud_editor=word&dl=0&rlkey=zlyz5wn673wf7owettq3nx3h5 </ref></big> <big>1.5 Excel recoding (pre diabetes, hypertension etc) <ref>https://www.dropbox.com/scl/fi/9qvqeccto2kbuqvx7mdkl?r=ACsntb2AuiFkJbEBLObVdo0HMD67UZBBUGCGl1RPCPy1X5Y3K3e9Lf4s7cG7i7E_iH0IK-WkynXw_FNCDWybHuCgaNl_OM8yche2w2aapJGk5BTHybbsLpLayBU8VKPPqxNa2zDaNslBdQg0MhmKTFSG</ref></big> <big>'''Personal prevention''' Personal reversal of prediabetes relies on targeted lifestyle changes like eating a healthy diet, exercising regularly, and losing a modest amount of excess weight. (local Diabetes Associations)</big> <span lang="en" dir="ltr"><big>'''Core Institutional Strategies''' Health authorities and organizations implement group-based or digital programs. The workplaces are prompted to make targeted interventions, including nutrition and exercise programs, to safeguard long-term cardiometabolic health in the workforces.</big></span> <big>16 weeks human caused Intervention studies: English <ref>https://www.dropbox.com/scl/fi/oi6cx6tlwwvoko3ed37tn/Invitation-to-the-course-English.docx?cloud_editor=word&dl=0&rlkey=7kzg91tqfgjskxf5aji8khicx </ref> Danish <ref>https://www.dropbox.com/scl/fi/2qahc3q9hmf4skbvk77ab/Invitation-to-the-course-in-Danish.docx?cloud_editor=word&dl=0&rlkey=x63w8oqvarz284zg2btq2johv </ref> Spanish <ref> https://www.dropbox.com/scl/fi/bn71inqeeth4o4mc1fjth/Invitation-to-the-course-Spanish.docx?cloud_editor=word&dl=0&rlkey=popmr1fnodh1v951v9l7k9ezv </ref> and '''AI-Powered Lifestyle Intervention''' in the Diabetes Prevention <ref>Mathioudakis, Nestoras, Benjamin Lalani, Mohammed S. Abusamaan, et al. «An AI-Powered Lifestyle Intervention vs Human Coaching in the Diabetes Prevention Program: A Randomized Clinical Trial». JAMA 334, n.º 23 (2025): 2079-89. https://doi.org/10.1001/jama.2025.19563.</ref></big> '''<big>Organisation</big>''' <big>- [[/The John Snow Institute bylaws /|The John Snow Institute bylaws]]</big> <big>- General research protocol draft <ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref></big> <big>- Health Promoting Schools <ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big> [[Category:Prediabetes ]] [[Category:Prediabetes ]] <big>'''Publications''' <ref name=":0"> https://www.dropbox.com/scl/fi/mw7ft423lkkpjoxywd2bf </ref></big> '''The John Snow Prediabetes Institute Research Network:''' <small>Prof. Dr. Olaf Jensen, MD, MPH, PhD; Prof. Ing. MSc. Nailet Delgado Mujica; Prof. Magda Medir Mb, Tarragona Spain, Prof. MSc.Ph.D. Bishal Gyawali SDU; MSc.PhD Vivi Just-Nørregaard; Prof. Dr. Johan Hviid Andersen MD, PhD. Århus University; Prof. MSc. Agnes Flores, UMECIT, Panama; Bruno Nørdam, Randers; Maritime Doctor. Erik Haarløv MD, Assens, Denmark; Dr. Maite Duque MD Venezuela; Dr. Indira Santos Panama MD; Med.Stud. Ashley Lezcano, Panama; Dr. Joseph Abesamis MD Filippines; Dr. Jen Mendoza, MD, Filippines; Dra.Marj Gab Huerte, MD, Filippines:</small> <small>Dr. Andra Ergle MD, Latvia; Prof. MSc. Ingrid Morató, Tarragona and Cadiz, Spain; Dr. Alejandro Martinez, MD, MPH, Costa Rica; Christian Acheampong, MBA, New Jersey US; Dr. Med. Sci Finn Gyntelberg NFA.and Bispebj. Hosp. Denmark: Dr. Solomon Ching MD Filippines: Dr. Marcel Alcaraz MD Filippines;</small> ==References== s5mimlstcxzxli880ggt87h49ejndkd 2844450 2844449 2026-11-04T11:21:10Z JSINST 3110286 2844450 wikitext text/x-wiki <big>The John Snow prediabetes Institute is an international research network focused on early risk identification of prediabetes, prehypertension and the other types of metabolic syndrome in the early ages for remission, by lifestyle health promotion. (https://w.wiki/Skm7).</big> '''<big>Background:</big>''' <big>Millions are at increased risk of developing metabolic syndrome starting with arteriosclerosis, pre-diabetes, type 2 Diabetes Mellitus, pre hypertension, hypertension and overweight before the age of 30 without any simptomes.<ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref> Early diagnosis and prevention is possible and a cost-effective preventive strategy that can improve long-term health outcomes. The '''prevalence''' '''studies''' to identify the high risk groups is done by repeated studies from the adolescent's schools, as example for -seafarers, -nurses and medical students. Alternatively, data from the academic literature is used by asking the authors to reanalyse their data to identify the risk groups. The 16-weeks '''intervention study''' include learning by video sequences and self-monitoring of blood sugar with Glukometer and self-evaluation of diet and physical activity <ref>https://www.sciencedirect.com/science/article/abs/pii/S1751991825001068 </ref>. The new challenging intervention studies include the AI-Digital lifestyle programs.<ref> «Digital Lifestyle Program Cuts Diabetes Risk by 46% in Prediabetics, Study of 130k+ Adults Reveals». News-Medical, 14 de abril de 2025. https://www.news-medical.net/news/20250414/Digital-lifestyle-program-cuts-diabetes-risk-by-4625-in-prediabetics-study-of-130k2b-adults-reveals.aspx.</ref> Educational materials is available from the international diabetes organisations e.g the ADA:<ref>https://professional.diabetes.org/diabetes-support-resources</ref> and the Health Promoting Schools.<ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big>[[File:Lifestyle Medicine Pillars.png|250px|right| <big>Lifestyle Medicine Pillars.png The focus of Lifestyle Medicine is on these 6 pillars</big> ]]'''<big>Prevalence studies</big>''' [[/The Maritime Health database design // |<big>1.1 The Maritime Health database design</big>]] <big>1.2 Nursing Students Health Database <ref> https://www.dropbox.com/scl/fi/tcznmmd2y3nona5e3h1ro/The-Nursing-students-health-database.docx?cloud_editor=word&dl=0&rlkey=onbjh4o8ko1lzdvgyi8nlrotk </ref></big> <big>1.3. Medical student's Health Database <ref>https://www.dropbox.com/scl/fi/f16h9b60u4gxgt56un2jf/The-Medical-students-Health-database.docx?cloud_editor=word&dl=0&rlkey=xyfqen5trdc5lniaovipl548n </ref></big> <big>1.4. School childrens` Health database <ref> https://www.dropbox.com/scl/fi/u6u50c8bxwhte9t2t6ck8/The-School-children-s-Health-database.docx?cloud_editor=word&dl=0&rlkey=zlyz5wn673wf7owettq3nx3h5 </ref></big> <big>1.5 Excel recoding of the clinical data (pre diabetes, hypertension etc) <ref>https://www.dropbox.com/scl/fi/9qvqeccto2kbuqvx7mdkl?r=ACsntb2AuiFkJbEBLObVdo0HMD67UZBBUGCGl1RPCPy1X5Y3K3e9Lf4s7cG7i7E_iH0IK-WkynXw_FNCDWybHuCgaNl_OM8yche2w2aapJGk5BTHybbsLpLayBU8VKPPqxNa2zDaNslBdQg0MhmKTFSG</ref></big> <big>'''Personal prevention''' Personal reversal of prediabetes relies on targeted lifestyle changes like eating a healthy diet, exercising regularly, and losing a modest amount of excess weight. (local Diabetes Associations)</big> <span lang="en" dir="ltr"><big>'''Core Institutional Strategies''' Health authorities and organizations implement group-based or digital programs. The workplaces are prompted to make targeted interventions, including nutrition and exercise programs, to safeguard long-term cardiometabolic health in the workforces.</big></span> <big>16 weeks human caused Intervention studies: English <ref>https://www.dropbox.com/scl/fi/oi6cx6tlwwvoko3ed37tn/Invitation-to-the-course-English.docx?cloud_editor=word&dl=0&rlkey=7kzg91tqfgjskxf5aji8khicx </ref> Danish <ref>https://www.dropbox.com/scl/fi/2qahc3q9hmf4skbvk77ab/Invitation-to-the-course-in-Danish.docx?cloud_editor=word&dl=0&rlkey=x63w8oqvarz284zg2btq2johv </ref> Spanish <ref> https://www.dropbox.com/scl/fi/bn71inqeeth4o4mc1fjth/Invitation-to-the-course-Spanish.docx?cloud_editor=word&dl=0&rlkey=popmr1fnodh1v951v9l7k9ezv </ref> and '''AI-Powered Lifestyle Intervention''' in the Diabetes Prevention <ref>Mathioudakis, Nestoras, Benjamin Lalani, Mohammed S. Abusamaan, et al. «An AI-Powered Lifestyle Intervention vs Human Coaching in the Diabetes Prevention Program: A Randomized Clinical Trial». JAMA 334, n.º 23 (2025): 2079-89. https://doi.org/10.1001/jama.2025.19563.</ref></big> '''<big>Organisation</big>''' <big>- [[/The John Snow Institute bylaws /|The John Snow Institute bylaws]]</big> <big>- General research protocol draft <ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref></big> <big>- Health Promoting Schools <ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big> [[Category:Prediabetes ]] [[Category:Prediabetes ]] <big>'''Publications''' <ref name=":0"> https://www.dropbox.com/scl/fi/mw7ft423lkkpjoxywd2bf </ref></big> '''The John Snow Prediabetes Institute Research Network:''' <small>Prof. Dr. Olaf Jensen, MD, MPH, PhD; Prof. Ing. MSc. Nailet Delgado Mujica; Prof. Magda Medir Mb, Tarragona Spain, Prof. MSc.Ph.D. Bishal Gyawali SDU; MSc.PhD Vivi Just-Nørregaard; Prof. Dr. Johan Hviid Andersen MD, PhD. Århus University; Prof. MSc. Agnes Flores, UMECIT, Panama; Bruno Nørdam, Randers; Maritime Doctor. Erik Haarløv MD, Assens, Denmark; Dr. Maite Duque MD Venezuela; Dr. Indira Santos Panama MD; Med.Stud. Ashley Lezcano, Panama; Dr. Joseph Abesamis MD Filippines; Dr. Jen Mendoza, MD, Filippines; Dra.Marj Gab Huerte, MD, Filippines:</small> <small>Dr. Andra Ergle MD, Latvia; Prof. MSc. Ingrid Morató, Tarragona and Cadiz, Spain; Dr. Alejandro Martinez, MD, MPH, Costa Rica; Christian Acheampong, MBA, New Jersey US; Dr. Med. Sci Finn Gyntelberg NFA.and Bispebj. Hosp. Denmark: Dr. Solomon Ching MD Filippines: Dr. Marcel Alcaraz MD Filippines;</small> ==References== qm7voay72moqlxbt33t8jqgakieif8v 2844451 2844450 2026-11-04T11:32:46Z JSINST 3110286 2844451 wikitext text/x-wiki <big>The John Snow prediabetes Institute is an international research network focused on early risk identification of prediabetes, prehypertension and the other types of metabolic syndrome in the early ages for remission, by lifestyle health promotion. (https://w.wiki/Skm7).</big> '''<big>Background:</big>''' <big>Millions are at increased risk of developing metabolic syndrome starting with arteriosclerosis, pre-diabetes, type 2 Diabetes Mellitus, pre hypertension, hypertension and overweight before the age of 30 without any simptomes.<ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref> The diseases is the background for the cardiovascular diseases (CVDs) which is the leading cause of death and disability worldwide. Early diagnosis and prevention is possible and a cost-effective preventive strategy that can improve long-term health outcomes. The '''prevalence''' '''studies''' to identify the high risk groups is done by repeated studies from the adolescent's schools, as example for -seafarers, -nurses and medical students. Alternatively, data from the academic literature is used by asking the authors to reanalyse their data to identify the risk groups. The 16-weeks '''intervention study''' include learning by video sequences and self-monitoring of blood sugar with Glukometer and self-evaluation of diet and physical activity <ref>https://www.sciencedirect.com/science/article/abs/pii/S1751991825001068 </ref>. The new challenging intervention studies include the AI-Digital lifestyle programs.<ref> «Digital Lifestyle Program Cuts Diabetes Risk by 46% in Prediabetics, Study of 130k+ Adults Reveals». News-Medical, 14 de abril de 2025. https://www.news-medical.net/news/20250414/Digital-lifestyle-program-cuts-diabetes-risk-by-4625-in-prediabetics-study-of-130k2b-adults-reveals.aspx.</ref> Educational materials is available from the international diabetes organisations e.g the ADA:<ref>https://professional.diabetes.org/diabetes-support-resources</ref> and the Health Promoting Schools.<ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big>[[File:Lifestyle Medicine Pillars.png|250px|right| <big>Lifestyle Medicine Pillars.png The focus of Lifestyle Medicine is on these 6 pillars</big> ]]'''<big>Prevalence studies</big>''' [[/The Maritime Health database design // |<big>1.1 The Maritime Health database design</big>]] <big>1.2 Nursing Students Health Database <ref> https://www.dropbox.com/scl/fi/tcznmmd2y3nona5e3h1ro/The-Nursing-students-health-database.docx?cloud_editor=word&dl=0&rlkey=onbjh4o8ko1lzdvgyi8nlrotk </ref></big> <big>1.3. Medical student's Health Database <ref>https://www.dropbox.com/scl/fi/f16h9b60u4gxgt56un2jf/The-Medical-students-Health-database.docx?cloud_editor=word&dl=0&rlkey=xyfqen5trdc5lniaovipl548n </ref></big> <big>1.4. School childrens` Health database <ref> https://www.dropbox.com/scl/fi/u6u50c8bxwhte9t2t6ck8/The-School-children-s-Health-database.docx?cloud_editor=word&dl=0&rlkey=zlyz5wn673wf7owettq3nx3h5 </ref></big> <big>1.5 Excel recoding of the clinical data (pre diabetes, hypertension etc) <ref>https://www.dropbox.com/scl/fi/9qvqeccto2kbuqvx7mdkl?r=ACsntb2AuiFkJbEBLObVdo0HMD67UZBBUGCGl1RPCPy1X5Y3K3e9Lf4s7cG7i7E_iH0IK-WkynXw_FNCDWybHuCgaNl_OM8yche2w2aapJGk5BTHybbsLpLayBU8VKPPqxNa2zDaNslBdQg0MhmKTFSG</ref></big> <big>'''Personal prevention''' Personal reversal of prediabetes relies on targeted lifestyle changes like eating a healthy diet, exercising regularly, and losing a modest amount of excess weight. (local Diabetes Associations)</big> <span lang="en" dir="ltr"><big>'''Core Institutional Strategies''' Health authorities and organizations implement group-based or digital programs. The workplaces are prompted to make targeted interventions, including nutrition and exercise programs, to safeguard long-term cardiometabolic health in the workforces.</big></span> <big>16 weeks human caused Intervention studies: English <ref>https://www.dropbox.com/scl/fi/oi6cx6tlwwvoko3ed37tn/Invitation-to-the-course-English.docx?cloud_editor=word&dl=0&rlkey=7kzg91tqfgjskxf5aji8khicx </ref> Danish <ref>https://www.dropbox.com/scl/fi/2qahc3q9hmf4skbvk77ab/Invitation-to-the-course-in-Danish.docx?cloud_editor=word&dl=0&rlkey=x63w8oqvarz284zg2btq2johv </ref> Spanish <ref> https://www.dropbox.com/scl/fi/bn71inqeeth4o4mc1fjth/Invitation-to-the-course-Spanish.docx?cloud_editor=word&dl=0&rlkey=popmr1fnodh1v951v9l7k9ezv </ref> and '''AI-Powered Lifestyle Intervention''' in the Diabetes Prevention <ref>Mathioudakis, Nestoras, Benjamin Lalani, Mohammed S. Abusamaan, et al. «An AI-Powered Lifestyle Intervention vs Human Coaching in the Diabetes Prevention Program: A Randomized Clinical Trial». JAMA 334, n.º 23 (2025): 2079-89. https://doi.org/10.1001/jama.2025.19563.</ref></big> '''<big>Organisation</big>''' <big>- [[/The John Snow Institute bylaws /|The John Snow Institute bylaws]]</big> <big>- General research protocol draft <ref> https://www.dropbox.com/scl/fi/gau25oy5y1s57046icjt2/Research-protocol-draft.docx?cloud_editor=word&dl=0&rlkey=wat63e25ritmujwcpss8s4v0s </ref></big> <big>- Health Promoting Schools <ref> https://www.dropbox.com/scl/fi/0rm7honrezbjwrcy3h3yk/Health-promoting-schools.docx?cloud_editor=word&dl=0&rlkey=673jyzcmwbfw7k9ui9nmtp0zh </ref></big> [[Category:Prediabetes ]] [[Category:Prediabetes ]] <big>'''Publications''' <ref name=":0"> https://www.dropbox.com/scl/fi/mw7ft423lkkpjoxywd2bf </ref></big> '''The John Snow Prediabetes Institute Research Network:''' <small>Prof. Dr. Olaf Jensen, MD, MPH, PhD; Prof. Ing. MSc. Nailet Delgado Mujica; Prof. Magda Medir Mb, Tarragona Spain, Prof. MSc.Ph.D. Bishal Gyawali SDU; MSc.PhD Vivi Just-Nørregaard; Prof. Dr. Johan Hviid Andersen MD, PhD. Århus University; Prof. MSc. Agnes Flores, UMECIT, Panama; Bruno Nørdam, Randers; Maritime Doctor. Erik Haarløv MD, Assens, Denmark; Dr. Maite Duque MD Venezuela; Dr. Indira Santos Panama MD; Med.Stud. Ashley Lezcano, Panama; Dr. Joseph Abesamis MD Filippines; Dr. Jen Mendoza, MD, Filippines; Dra.Marj Gab Huerte, MD, Filippines:</small> <small>Dr. Andra Ergle MD, Latvia; Prof. MSc. Ingrid Morató, Tarragona and Cadiz, Spain; Dr. Alejandro Martinez, MD, MPH, Costa Rica; Christian Acheampong, MBA, New Jersey US; Dr. Med. Sci Finn Gyntelberg NFA.and Bispebj. Hosp. Denmark: Dr. Solomon Ching MD Filippines: Dr. Marcel Alcaraz MD Filippines;</small> ==References== nampmm174076nahn96wruyztob8w7ki 2 331036 2844312 2836605 2026-11-03T21:40:14Z BLANDINO Massimiliano 3106750 2844312 wikitext text/x-wiki __INDEX__ {{Research project | title = First-Principles Derivation of the Fine-Structure Constant: Fano Plane Symmetries, Lagrangian Duality, and the Hydrogen Atom | status = Active / Proposal | area = Mathematical Physics / String Theory / Quantum Mechanics }} <!-- FLOATING INFOBOX: WIKIBASE KNOWLEDGE GRAPH ARCHITECTURE --> <div style="float: right; width: 340px; background-color: #ffffff; border: 1px solid #cbd5e1; border-top: 4px solid #0284c7; padding: 14px; margin: 0 0 1em 1.5em; font-size: 85%; font-family: sans-serif; line-height: 1.6; box-shadow: 0 4px 12px rgba(0,0,0,0.08); border-radius: 8px;"> <div style="font-weight: bold; text-align: center; color: #0284c7; font-size: 110%; margin-bottom: 2px;">🌐 WIKIBASE KNOWLEDGE GRAPH</div> <div style="text-align: center; color: #64748b; font-size: 90%; margin-bottom: 8px;">Linked Open Data & SPARQL Architecture</div> <hr style="margin: 8px 0; border: 0; border-top: 1px solid #e2e8f0;" /> * '''Triple Store:''' [https://blandino-research.wikibase.cloud blandino-research] * '''Root Project:''' <span style="background: #ef4444; color: white; padding: 1px 6px; border-radius: 4px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q3 Q3]</span> * '''Dataset Record:''' <span style="background: #10b981; color: white; padding: 1px 6px; border-radius: 4px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q92 Q92]</span> * '''Author / ORCID:''' Massimiliano Blandino &bull; [https://orcid.org/0009-0006-3252-4011 0009-0006-3252-4011] * '''OpenAlex Author ID:''' [https://openalex.org/authors/A5134967009 A5134967009] * '''SPARQL Endpoint:''' [https://blandino-research.wikibase.cloud/query/ Live Query Engine] * '''PubPub Community:''' [https://blandino-research-knowledge-graph-br-kg.pubpub.org BR-KG Hub] &bull; [https://blandino-research-knowledge-graph-br-kg.pubpub.org/pub/alpha-series-chapter-1 Alpha Series Ch. 1] * '''Semantic Scholar:''' [https://www.semanticscholar.org/author/Massimiliano-Blandino/2509783665 Profile] <hr style="margin: 8px 0; border: 0; border-top: 1px solid #e2e8f0;" /> <strong style="color: #0f172a; display: block; margin-bottom: 4px;">📦 Persistent Knowledge Graph Anchors:</strong> * '''ORKG Graph DOI:''' <span style="background: #3b82f6; color: white; padding: 1px 6px; border-radius: 4px; font-weight: bold;">[https://doi.org/10.48366/R1969687 10.48366/R1969687]</span> * '''Graph Archive (Zenodo):''' [https://doi.org/10.5281/zenodo.22839547 Blandino Research Knowledge Graph (BR-KG)] * '''Zenodo Concept DOI:''' <span style="background: #f1f5f9; color: #0f172a; border: 1px solid #cbd5e1; padding: 1px 5px; border-radius: 3px; font-family: monospace; font-size: 90%;">[https://doi.org/10.5281/zenodo.22839547 10.5281/zenodo.22839547]</span> * '''OpenAlex Graph ID:''' <span style="background: #f1f5f9; color: #0f172a; border: 1px solid #cbd5e1; padding: 1px 5px; border-radius: 3px; font-family: monospace; font-size: 90%;">[https://openalex.org/W7213638887 W7213638887]</span> <div style="background-color: #f8fafc; border: 1px solid #e2e8f0; border-radius: 6px; padding: 6px 8px; margin-top: 6px; font-size: 88%;"> <strong style="color: #0369a1; display: block; margin-bottom: 2px;">Repository File Contents:</strong> * 📄 <code style="font-size: 85%;">BRKG_Full_Graph_Export.ttl</code> (W3C RDF) * 📊 <code style="font-size: 85%;">01_BRKG_Unpacked_Triples_ALL.csv</code> * 📊 <code style="font-size: 85%;">02_BRKG_Unique_Subject_Nodes.csv</code> * 📊 <code style="font-size: 85%;">03_BRKG_Unique_Property_Predicates.csv</code> </div> <hr style="margin: 8px 0; border: 0; border-top: 1px solid #e2e8f0;" /> <strong style="color: #0f172a; display: block; margin-bottom: 6px;">Immersive Research Series (Items & Suites):</strong> * '''Jordan-Clifford Bridge:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q18 Q18]</span> &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q25 Q25]</span> * '''NCG Lorentzian:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q20 Q20]</span> &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q26 Q26]</span> * '''LQG Time Emergence:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q22 Q22]</span> &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q27 Q27]</span> * '''Dissipative Measurement:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q23 Q23]</span> &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q28 Q28]</span> * '''Hydrogen 1s Orbital:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q24 Q24]</span> &bull; Suites: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q29 Q29]</span>, <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q30 Q30]</span> * '''AQFT Superselection:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q31 Q31]</span> &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q32 Q32]</span> * '''Singh Torsion Gravity:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q33 Q33]</span> &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q34 Q34]</span> * '''TEC-Weil RH Refinement:''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q35 Q35]</span> &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q36 Q36]</span> <hr style="margin: 8px 0; border: 0; border-top: 1px solid #e2e8f0;" /> <!-- Invisible AI Agent Metadata --> <div style="display: none;" aria-hidden="true"> orkg_record: doi: "10.48366/R1969687" zenodo_dataset: concept_doi: "10.5281/zenodo.22839547" files: - "BRKG_Full_Graph_Export.ttl" - "01_BRKG_Unpacked_Triples_ALL.csv" - "02_BRKG_Unique_Subject_Nodes.csv" - "03_BRKG_Unique_Property_Predicates.csv" pubpub_community: url: "https://blandino-research-knowledge-graph-br-kg.pubpub.org" chapter_1: "https://blandino-research-knowledge-graph-br-kg.pubpub.org/pub/alpha-series-chapter-1" </div> </div> == Open Science Architecture & Full Corpus Index == This Wikiversity resource serves as an '''executive summary and educational portal''' for a broader, multi-paper research network anchored on Wikibase Cloud. To maintain readability, detailed mathematical derivations, extended proofs, and complete source code are modularized across permanent Open Science repositories (Zenodo Concept DOIs): * '''Full Verification Suite & Spectral Invariants:''' [https://doi.org/10.5281/zenodo.20684476 DOI: 10.5281/zenodo.20684476] <span style="background: #e0f2fe; color: #0369a1; padding: 1px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q8 Node:Q8]</span> * '''Unified PEPS-5D & Fano 2-22 Archive:''' [https://doi.org/10.5281/zenodo.20635062 DOI: 10.5281/zenodo.20635062] <span style="background: #e0f2fe; color: #0369a1; padding: 1px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q16 Node:Q16]</span> * '''Lagrangian Duality & Fine-Structure Series:''' [https://doi.org/10.5281/zenodo.19802606 DOI: 10.5281/zenodo.19802606] <span style="background: #e0f2fe; color: #0369a1; padding: 1px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q15 Node:Q15]</span> ''Readers seeking the full step-by-step algebraic derivations and reproducible Python environments are encouraged to consult the corresponding archived manuscripts linked above.'' == Abstract & Overview == This research project presents a proposed theoretical model for a first-principles derivation of the inverse [[w:en:Fine-structure constant|fine-structure constant]] (<math>\boldsymbol{\alpha}^{-1}</math>) without free parameters. It presents its exact analytical closed form, its Lagrangian action principle, its representation as a circular [[w:en:Matrix product state|Matrix Product State (MPS)]], and its physical role as a critical threshold governing decoherence scales and the stability of the hydrogen 1s orbital. == Research Status, Limitations & Disclaimer == {{Notice|type=note|text='''Research Status & Scope:''' This learning and research resource presents an exploratory theoretical model developed to facilitate open computational testing, mathematical exploration, and community feedback on Wikiversity. * '''Publication & Review Status:''' The underlying multi-paper research network and its verification modules are archived under permanent Concept DOIs on Zenodo and indexed on the [https://blandino-research.wikibase.cloud/wiki/Item:Q3 Wikibase Triple Store (Item:Q3)]. * '''Model Scope:''' All mathematical derivations, tensor network constructions, and Python verification scripts demonstrate internal self-consistency and high-precision numerical agreement within the defined model. They are presented as a self-consistent theoretical hypothesis rather than an established physical consensus.}} == Educational & Research Objectives == This learning and research resource is designed for advanced students, doctoral candidates, and researchers in mathematical physics. The primary objectives are: * To provide a self-contained exposition of circular Matrix Product States (MPS) on algebraic varieties and finite projective spaces. * To demonstrate the analytical derivation of <math>\boldsymbol{\alpha}^{-1}</math> via continued fraction structures, [[w:en:Fano plane|Fano plane]] symmetries, and worldsheet oscillations. * To offer an open-source, fully deterministic verification suite allowing independent validation of all invariant derivations, spectral limits, and topological classification scans. == Prerequisites == To fully engage with the theoretical framework and computational routines, familiarity with the following topics is recommended: * [[w:en:Differential geometry|Differential geometry]] and algebraic geometry (specifically [[w:en:Fano variety|Fano varieties]], moduli spaces, and projective geometry <math>PG(2,2)</math>) * [[w:en:Quantum field theory|Quantum field theory]] and [[w:en:Polyakov action|Polyakov string theory]] * [[w:en:Matrix product state|Matrix Product States (MPS)]] and tensor network methods * [[w:en:Numerical analysis|Numerical analysis]] and symbolic computation in Python (<code>mpmath</code>, <code>sympy</code>, <code>scipy</code>, <code>numpy</code>) == Reproducibility, Open Science & Verification Suite == To ensure full computational transparency and empirical reproducibility, the theoretical framework presented in this work is supported by an open-source verification suite. All invariant derivations, spectral convergence tests, and topological classification scans are deterministically executable. * '''Archive & DOI''': [https://doi.org/10.5281/zenodo.20684476 10.5281/zenodo.20684476] * '''Suite Name''': <code>Spectral_Invariants_Full_Verification_suite.py</code> (Version v3.0.1) * '''Target Manuscript''': ''"Spectral Invariants of Circular Tensor Networks on the Moduli Space of Fano 3-Folds with an application to the fine-structure constant"'' * '''Wikibase Anchors''': <span style="background: #e0f2fe; color: #0369a1; padding: 1px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q8 Paper:Q8]</span> &bull; <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">Modules: Q48 – Q65</span> * '''Environment Requirements''': Python 3.10+ (<code>mpmath</code>, <code>numpy</code>, <code>scipy</code>, <code>matplotlib</code>, <code>sympy</code>) <syntaxhighlight lang="bash"> # Execution command (Runs in high precision within seconds) python Spectral_Invariants_Full_Verification_suite.py </syntaxhighlight> === Complete Verification Modules (v3.0.1) === The verification suite automatically runs and validates the following 18 analytical and numerical modules: # '''Module 1: Closed-Form <math>\boldsymbol{\alpha}^{-1}</math> Derivation''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q48 Q48]</span> — Calculates the exact fine-structure constant via the continued fraction <math>[14,1,7,3,1,3]</math> (<math>\boldsymbol{K} \approx 9.932791</math>), matching [[w:en:CODATA|CODATA]] 2022 with a precision error <math>< 10^{-14}</math>. # '''Module 2: Historical CODATA Analysis (2006–2022)''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q49 Q49]</span> — Demonstrates that all partial quotients extracted from historical [[w:en:CODATA|CODATA]] measurements remain strictly bounded by <math>\boldsymbol{D} = 45</math>. # '''Module 3: MPS Spectral Convergence''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q50 Q50]</span> — Tracks the circular [[w:en:Tensor network|tensor network]] limit up to <math>\boldsymbol{N} = 10000</math>, showing convergence to <math>\ln(\boldsymbol{\lambda}_{\max}) \to \boldsymbol{A}_{\text{geo}} + \boldsymbol{\pi}</math>. # '''Module 4: Stochastic Monte Carlo Simulation''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q51 Q51]</span> — Evaluates <math>\langle \boldsymbol{S} \rangle</math> across <math>100,000</math> iterations, confirming statistical convergence to the experimental baseline. # '''Module 5: Sensitivity Scan for <math>\boldsymbol{\tau}</math>''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q53 Q53]</span> — Scans the scale parameter <math>\boldsymbol{\tau} \in [3.0, 7.0]</math>, proving structural invariant stability within <math>10^{-2}</math>. # '''Module 6: Commutator Norm (Theoretical Proof)''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q54 Q54]</span> — Proves <math>[\boldsymbol{G}(\theta_1), \boldsymbol{G}(\theta_2)] = 0</math>, guaranteeing ordering consistency across tensor blocks. # '''Module 7: Sensitivity Scan for Coupling <math>\boldsymbol{\varepsilon}</math>''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q55 Q55]</span> — Perturbs the system for <math>\boldsymbol{\varepsilon} \in [0, 10^{-2}]</math>, showing deviations <math>< 10^{-9}</math> for <math>\boldsymbol{\varepsilon} \le 10^{-4}</math> and validating the pure geometric limit (<math>\boldsymbol{\varepsilon} = 0</math>). # '''Module 8: PF–DS Numerical Equivalence''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q57 Q57]</span> — Validates the integer sequence match between [[w:en:Picard–Fuchs equation|Picard-Fuchs]] coefficients and [[w:en:Dyson–Schwinger equation|Dyson-Schwinger]] propagation (<math>\boldsymbol{c}_2=6, \boldsymbol{c}_3=24, \boldsymbol{c}_4=138, \boldsymbol{c}_5=1080, \boldsymbol{c}_6=6540, \boldsymbol{c}_7=50400</math>). # '''Module 9: PF–DS Symbolic Verification''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q58 Q58]</span> — Performs algebraic symbolic verification of the differential operator <math>\boldsymbol{\mathcal{D}}_{\text{PF}}</math> reduced to the logarithmic operator polynomial <math>\boldsymbol{\Theta} = t \frac{d}{dt}</math> via <code>SymPy</code>. # '''Module 10: Bond Dimension Singularity Scan (<math>\boldsymbol{D}</math>)''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q60 Q60]</span> — Scans <math>\boldsymbol{D} \in [40, 50]</math>, proving that <math>\boldsymbol{D} = 45 = \dim(\mathfrak{so}(10))</math> is the unique dimension matching the Minkowski period factor <math>\boldsymbol{c}_5 = 24\boldsymbol{D} = 1080</math>. # '''Module 11: Statistical Test for <math>\boldsymbol{D}=45</math>''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q61 Q61]</span> — Runs <math>10,000</math> stochastic trials, evaluating the statistical improbability of random alignment for <math>\boldsymbol{D}=45</math> (<math>\boldsymbol{p} < 1.2 \times 10^{-3}</math> against the tested random baseline). # '''Module 12: Maximal Independent Set (MIS) Bridging''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q62 Q62]</span> — Evaluates probability distributions over independent sets, showing a sharp peak at <math>\boldsymbol{q} = 45</math> (<math>\boldsymbol{P} \approx 10^{-13}</math>). # '''Module 13: Systematic Scan of 105 Fano Families''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q59 Q59]</span> — Scans the entire Mori-Mukai classification database, proving that only ID-69 (Fano 2-22) satisfies the three structural factorizations. # '''Module 14: Quantum Graphon Cut Norm Convergence''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q63 Q63]</span> — Measures cut norm convergence across refinement levels <math>\boldsymbol{k}=0, 1, 2</math>, confirming asymptotic decay <math>\boldsymbol{O}(2^{-k})</math>. # '''Module 15: Spectral Gap Calculation''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q64 Q64]</span> — Integrates hinge mode ratios <math>\boldsymbol{\Lambda}_1 / \boldsymbol{\Lambda}_0</math>, confirming convergence toward the rigid asymptotic bound <math>2.0</math>. # '''Module 16: Bulk Graphon Parameters''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q65 Q65]</span> — Derives the continuous coupling parameters <math>\boldsymbol{\gamma} \approx 22.732171</math> and <math>\boldsymbol{\kappa}_W \approx 2.291522</math>. # '''Module 17: Commutator Frobenius Norm Table''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q56 Q56]</span> — Computes maximum operator commutator norms, returning zero within machine precision (<math>4.47 \times 10^{-21}</math>). # '''Module 18: Minimal Reproducible Script''' <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q52 Q52]</span> — Standalone 10-line self-contained routine calculating <math>\boldsymbol{\alpha}^{-1}</math> to 50 decimal places in arbitrary precision. == 1. Topological Scope & Theoretical Framework == Starting from the generator polynomial <math>\boldsymbol{A}(\boldsymbol{\pi}) = 4\boldsymbol{\pi}^3 + \boldsymbol{\pi}^2 + \boldsymbol{\pi}</math> (see [https://en.wikipedia.org/wiki/Fine-structure_constant#Numerical_approximations Historical Numerical Approximations on Wikipedia]), we model the physical inverse fine-structure constant <math>\boldsymbol{\alpha}^{-1}</math> as the Effective Action <math>\boldsymbol{\Gamma}_{\text{eff}}</math> of an oscillating circle of radius <math>\boldsymbol{R} = \boldsymbol{\pi}</math> dual to a compactified [[w:en:Bosonic string theory|bosonic string]] <ref name="polyakov1981" /> <ref name="polchinski1998" />: <math display="block">\boldsymbol{\alpha}^{-1} = \ln(\boldsymbol{\lambda}_{\max}) - \boldsymbol{\pi} = \boldsymbol{A}(\boldsymbol{\pi}) - \frac{1}{\boldsymbol{A}'''(\boldsymbol{\pi})\boldsymbol{A}(\boldsymbol{\pi})} - \frac{1}{\boldsymbol{A}(\boldsymbol{\pi})^2 \boldsymbol{\pi}^2} \langle \hat{\boldsymbol{K}}^{-1} \rangle</math> where <math>\boldsymbol{A}'''(\boldsymbol{\pi}) = 24</math> emerges identically as the third derivative (cubic curvature) of the polynomial—matching the 24 transverse modes of the bosonic string <ref name="polyakov1981" />—and <math>\boldsymbol{\lambda}_{\max}</math> is the dominant eigenvalue of a circular MPS with bond dimension <math>\boldsymbol{D} = 45</math>. We propose that the vacuum persistence amplitude <math>\boldsymbol{\Psi}_{\text{vac}} = e^{-\boldsymbol{\alpha}^{-1}} \approx 3.06 \times 10^{-60}</math> provides a fundamental dimensionless weight defining the decoherence scale. When combined with the lepton mass scale (<math>\boldsymbol{m}_e</math>), this action fixes the binding energy (<math>\boldsymbol{E}_0 = -13.6057\text{ eV}</math>), the Bohr radius (<math>\boldsymbol{a}_0 = 52.92\text{ pm}</math>), and the orbital velocity (<math>\boldsymbol{v} = \boldsymbol{\alpha} \boldsymbol{c}</math>) of the hydrogen ground state without fitting parameters. === 1.0 Algebraic and Differential Anatomy of the Generator Polynomial === Prior to evaluating <math>\boldsymbol{A}(\boldsymbol{x})</math> at the geometric resonance point <math>\boldsymbol{x} = \boldsymbol{\pi}</math>, a structural examination from the perspectives of [[w:en:Abstract algebra|abstract algebra]], [[w:en:Differential geometry|differential geometry]], and [[w:en:Invariant theory|invariant theory]] reveals that the polynomial :<math>\boldsymbol{A}(\boldsymbol{x}) = 4\boldsymbol{x}^3 + \boldsymbol{x}^2 + \boldsymbol{x}</math> possesses intrinsic algebraic properties that suggest a underlying geometric origin. ==== 1.0.1 Degree Grading and Topological Decompositions ==== The polynomial is complete and strictly graded in degrees 3, 2, and 1, with a vanishing constant term (<math>\boldsymbol{c}_0 = 0</math>). * '''Vanishing Constant Term (<math>\boldsymbol{A}(0) = 0</math>):''' Ensures the existence of a trivial fixed point (vacuum state) at the origin of the [[w:en:Configuration space (physics)|configuration space]], allowing the algebraic factorization <math>\boldsymbol{A}(\boldsymbol{x}) = \boldsymbol{x}(4\boldsymbol{x}^2 + \boldsymbol{x} + 1)</math>. * '''Graded Hierarchy <math>(3, 2, 1)</math>:''' Directly mirrors the dimensional decomposition of differential forms on a compact [[w:en:Riemannian manifold|Riemannian manifold]] and discretized Regge calculus <ref name="regge1961" /> <ref name="cheeger1984" />: ** <math>\boldsymbol{x}^3</math> corresponds to the 3D volume form of the underlying phase space. ** <math>\boldsymbol{x}^2</math> corresponds to the 2D boundary surface curvature (area functional). ** <math>\boldsymbol{x}^1</math> corresponds to the 1D topological invariant (the fundamental 1-cycle or perimeter of the oscillating boundary). ==== 1.0.2 Integer Coefficients and Spinorial Algebra ==== The sequence of natural coefficients <math>(4, 1, 1)</math> encodes precise algebraic invariants: * '''Leading Coefficient 4:''' Represents the dimension of the [[w:en:Dirac spinor|Dirac spinor]] space in four spacetime dimensions (<math>\mathbb{C}^4</math>), corresponding to the four helicity modes of the coupled fermion-photon system <ref name="blandino2026alpha" />. * '''Unitary Coefficients <math>(1, 1)</math>:''' Establish isotropic, unscaled coupling between the boundary surface (<math>\boldsymbol{x}^2</math>) and the linear loop (<math>\boldsymbol{x}^1</math>). * '''Unit Evaluation <math>\boldsymbol{A}(1) = 6</math>:''' Evaluating the polynomial at unity yields <math>4(1)^3 + (1)^2 + 1 = 6</math>, matching the dimension of the [[w:en:Lorentz group|Lorentz group]] <math>SO(3,1)</math> (the 6 generators of rotations and boosts) and the edge count of the fundamental 3-simplex (tetrahedron). ==== 1.0.3 Polynomial Discriminant, Bhargava Cubic Rings, and the Lie Algebra su(4) ==== Under the Delone–Faddeev–Davenport–Bhargava parametrization of cubic rings over <math>\mathbb{Z}</math> <ref name="bhargava2004cubic" />, the generator polynomial <math>\boldsymbol{A}(\boldsymbol{x}) = 4\boldsymbol{x}^3 + \boldsymbol{x}^2 + \boldsymbol{x}</math> corresponds to the binary cubic form <math>f(u,v) = 4u^3 + u^2v + uv^2</math> with integer quadruplet <math>(a,b,c,d) = (4,1,1,0)</math>. The fundamental algebraic invariant of this cubic order is its polynomial [[w:en:Discriminant|discriminant]]: :<math>\boldsymbol{\Delta}(f) = b^2c^2 - 4ac^3 - 4b^3d - 27a^2d^2 + 18abcd = 1 - 16 = -15</math> The absolute invariant <math>|\boldsymbol{\Delta}| = 15</math> identifies key algebraic structures: * <math>15 = \dim(\mathfrak{su}(4))</math>, the dimension of the [[w:en:Special unitary group|special unitary Lie algebra]] <math>\mathfrak{su}(4)</math>, which governs the two-qubit operator space <math>\mathbb{C}^2 \otimes \mathbb{C}^2</math> in the [[w:en:Fano plane|Fano plane]] representation <ref name="blandino2026fano" /> and Fano 3-fold classification <ref name="iskovskikh1977" /> <ref name="mori1981" /> <ref name="golyshev2007" /> <ref name="coates2013" />. * Since <math>\boldsymbol{\Delta} < 0</math>, <math>\boldsymbol{A}(\boldsymbol{x})</math> possesses exactly one real root (<math>\boldsymbol{x} = 0</math>) and a pair of complex conjugate roots <math>\boldsymbol{x}_{\pm} = \frac{-1 \pm i\sqrt{15}}{8}</math>, defining a unique stable real trajectory accompanied by a two-dimensional complex phase oscillation. ==== 1.0.4 Third Derivative as a String Curvature Invariant ==== The successive derivatives of <math>\boldsymbol{A}(\boldsymbol{x})</math> are: :<math>\boldsymbol{A}'(\boldsymbol{x}) = 12\boldsymbol{x}^2 + 2\boldsymbol{x} + 1</math> :<math>\boldsymbol{A}''(\boldsymbol{x}) = 24\boldsymbol{x} + 2</math> :<math>\boldsymbol{A}'''(\boldsymbol{x}) = 24</math> The third derivative <math>\boldsymbol{A}'''(\boldsymbol{x}) \equiv 24</math> is a constant, coordinate-independent differential invariant. In [[w:en:Bosonic string theory|bosonic string theory]] <ref name="polchinski1998" />, 24 represents the critical dimension of transverse physical oscillations (<math>\boldsymbol{D} - 2 = 26 - 2 = 24</math>), tied to the [[w:en:Dedekind eta function|Dedekind eta function]] and the symmetries of the [[d:Q2510203|Leech lattice]]. The polynomial <math>\boldsymbol{A}(\boldsymbol{x})</math> intrinsically embeds the 24 transverse degrees of freedom as its cubic curvature. === 1.1 Structural Properties vs. Numerical Coincidence === Historically, the polynomial :<math>\boldsymbol{A}(\boldsymbol{x}) = 4\boldsymbol{x}^3 + \boldsymbol{x}^2 + \boldsymbol{x}</math> appears in literature and reference collections as an interesting numerical approximation <ref name="nature2010" /> that closely matches the empirical inverse fine-structure constant <ref name="codata2022" /> when evaluated at <math>\boldsymbol{x} = \boldsymbol{\pi}</math>: :<math>\boldsymbol{A}(\boldsymbol{\pi}) = 4\boldsymbol{\pi}^3 + \boldsymbol{\pi}^2 + \boldsymbol{\pi} \approx 137.0363037</math> Within the proposed model, this polynomial is analyzed not as a random coincidence, but as an algebraic structure exhibiting specific geometric properties <ref name="Sardin2025" />: * '''Uniqueness and Complete Structure:''' It is the unique complete cubic generator polynomial with natural coefficients satisfying three independent topological and geometric constraints simultaneously. * '''Invariance under Differentiation:''' Its third derivative is constant, <math>\frac{d^3 \boldsymbol{A}(\boldsymbol{x})}{d\boldsymbol{x}^3} = 24</math>, yielding the exact dimensional invariant corresponding to the transverse modes of the bosonic string <ref name="polyakov1981" />. * '''Resonance Point:''' Evaluation at <math>\boldsymbol{x} = \boldsymbol{\pi}</math> is interpreted as the physical resonance state of an oscillating spatial circle. * '''Derivation from Action Principles:''' <math>\boldsymbol{A}(\boldsymbol{x})</math> is derived from the classical geometric action of a dynamical system <ref name="blandino2026alpha" />. === 1.2 The Geometric Action Behind the Polynomial A(x) === The polynomial <math>\boldsymbol{A}(\boldsymbol{x})</math> is derived from the geometric action of an oscillating circle with radius <math>\boldsymbol{R} = \boldsymbol{x}</math>. Consider the geometric Lagrangian of the system <ref name="blandino2026alpha" />: :<math>\boldsymbol{\mathcal{L}}_{\text{geo}}(\boldsymbol{d}, \dot{\boldsymbol{d}}) = 4\dot{\boldsymbol{d}}^2 + \frac{1}{\boldsymbol{R}}\boldsymbol{d}^2 + \frac{1}{4\boldsymbol{R}^2 - \boldsymbol{d}^2}</math> The weak solution to the associated Euler-Lagrange equation yields the displacement field: :<math>\boldsymbol{d}(\boldsymbol{\theta}) = \boldsymbol{R} \sin\boldsymbol{\theta}</math> Integrating the action over a complete cycle <math>\boldsymbol{\theta} \in [0, 2\boldsymbol{\pi}]</math> gives: :<math>\boldsymbol{S}_{\text{geo}}(\boldsymbol{R}) = 4\boldsymbol{\pi} \boldsymbol{R}^3 + \boldsymbol{\pi} \boldsymbol{R}^2 + \boldsymbol{\pi} \boldsymbol{R}</math> Evaluating the functional at the fundamental geometric radius <math>\boldsymbol{R} = \boldsymbol{\pi}</math> yields the exact value of the generator polynomial: :<math>\boldsymbol{S}_{\text{geo}}(\boldsymbol{\pi}) = 4\boldsymbol{\pi}^3 + \boldsymbol{\pi}^2 + \boldsymbol{\pi} = \boldsymbol{A}(\boldsymbol{\pi})</math> This derivation provides a physical action interpretation for the oscillating boundary <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q72 Node:Q72]</span>. === 1.3 The Continued Fraction as a Refinement of the Underlying Graph === The continued fraction representation of <math>\boldsymbol{\alpha}^{-1}</math> constitutes the arithmetic refinement of the discrete graph generated by <math>\boldsymbol{A}(\boldsymbol{x})</math> <ref name="blandino2026alpha" />. The physical value of <math>\boldsymbol{\alpha}^{-1}</math> belongs to an arithmetic class whose partial quotients <math>\boldsymbol{q}_i</math> are strictly bounded by: :<math>\boldsymbol{q}_i \le 45</math> This bound is topological within the model. The continuous spatial domain (oscillating circle) and the discrete algebraic graph (<math>PG(2,2)</math>) intersect at the invariant constraint <math>\boldsymbol{D} = 45</math>. This dimension <math>\boldsymbol{D} = 45</math> connects the structure across four distinct domains: # The dimension of the virtual space in the Matrix Product State (MPS) <ref name="verstraete2004" />. # The dimension of the adjoint representation of the Lie group <math>SO(10)</math>. # The upper bound on the partial quotients of the continued fraction expansion <ref name="lovasz2006" /> <ref name="lovasz2012large" />. # The fixed point of the renormalization dynamical system. == 2. Exact Closed-Form Representation and the Cubic Curvature Invariant == === 2.1 The Polynomial Seed and Three-Term Formula === The classical approximation to the inverse fine-structure constant uses the cubic polynomial in <math>\boldsymbol{\pi}</math>: <math display="block">\boldsymbol{A}(\boldsymbol{\pi}) = 4\boldsymbol{\pi}^3 + \boldsymbol{\pi}^2 + \boldsymbol{\pi} \approx 137.0363037759</math> which reproduces <math>\boldsymbol{\alpha}^{-1}</math> with an error of <math>\sim 3 \times 10^{-4}</math>. We refine this relation into a three-term analytical formula <ref name="blandino2026alpha" />: <math display="block">\boldsymbol{\alpha}^{-1} = \boldsymbol{A}(\boldsymbol{\pi}) - \frac{1}{24 \boldsymbol{A}(\boldsymbol{\pi})} - \frac{1}{\boldsymbol{A}(\boldsymbol{\pi})^2 \cdot \boldsymbol{\pi}^2 \cdot \boldsymbol{K}}</math> where <math>\boldsymbol{K}</math> is the bounded subtractive continued fraction: <math display="block">\boldsymbol{K} = 10 - \cfrac{1}{14 + \cfrac{1}{1 + \cfrac{1}{7 + \cfrac{1}{3 + \cfrac{1}{1 + \cfrac{1}{3 + \dots}}}}}}</math> === 2.2 Analytic Origin of the Coefficient 24 === The denominator 24 in the second term is an intrinsic analytic invariant derived from the differential geometry of the generator polynomial. '''Theorem 1 (Cubic Curvature Theorem).''' ''Let <math>\boldsymbol{A}(\boldsymbol{x}) = 4\boldsymbol{x}^3 + \boldsymbol{x}^2 + \boldsymbol{x}</math> be a real cubic function. Its third derivative <math>\boldsymbol{A}'''(\boldsymbol{x})</math> is constant, uniform, and independent of <math>\boldsymbol{x}</math>:'' <math display="block">\boldsymbol{A}'(\boldsymbol{x}) = 12\boldsymbol{x}^2 + 2\boldsymbol{x} + 1, \qquad \boldsymbol{A}''(\boldsymbol{x}) = 24\boldsymbol{x} + 2, \qquad \boldsymbol{A}'''(\boldsymbol{x}) = 24</math> ''Evaluating the third derivative at <math>\boldsymbol{x} = \boldsymbol{\pi}</math> yields <math>\boldsymbol{A}'''(\boldsymbol{\pi}) \equiv 24</math>. Thus, the second term of the expansion is identically:'' <math display="block">\frac{1}{24 \boldsymbol{A}(\boldsymbol{\pi})} \equiv \frac{1}{\boldsymbol{A}'''(\boldsymbol{\pi}) \cdot \boldsymbol{A}(\boldsymbol{\pi})}</math> This term represents the leading-order curvature correction of the configuration space, providing a purely analytic justification for 24. === 2.3 Bounded Partial Quotients and Arithmetic Invariance === An analysis of the historical CODATA values of <math>\boldsymbol{\alpha}^{-1}</math> (2006–2022) <ref name="codata2022" /> demonstrates that all measured values within the experimental uncertainty interval correspond to continued fractions whose partial quotients <math>\boldsymbol{q}_i</math> are bounded above by 45: <math display="block">\boldsymbol{q}_i \le 45 \quad \forall \boldsymbol{i} \in \mathbb{N}</math> This establishes that <math>\boldsymbol{\alpha}^{-1}</math> belongs to a restricted arithmetic class of real numbers of periodic type, imposing a topological bound <math>\boldsymbol{D} = 45</math> on the allowed virtual Hilbert space <ref name="lovasz2006" /> <ref name="borgs2008convergent" />. == 3. Field Theory & Lagrangian Duality == === 3.1 The Geometric Field Lagrangian === Consider an oscillating circle of radius <math>\boldsymbol{R}</math> in the xy-plane whose center undergoes vertical displacement <math>\boldsymbol{d}(\boldsymbol{\theta})</math> parameterized by the phase angle <math>\boldsymbol{\theta} \in [0, 2\boldsymbol{\pi}]</math>. The cutting plane <math>\boldsymbol{z}=0</math> produces a chord length <math>\text{chord}(\boldsymbol{\theta}) = 2\sqrt{\boldsymbol{R}^2 - \boldsymbol{d}(\boldsymbol{\theta})^2}</math>. We define the geometric field Lagrangian density <math>\boldsymbol{\mathcal{L}}_{\text{geo}}(\boldsymbol{d}, \dot{\boldsymbol{d}})</math> as <ref name="blandino2026alpha" />: <math display="block">\boldsymbol{\mathcal{L}}_{\text{geo}}(\boldsymbol{d}, \dot{\boldsymbol{d}}) = 4\dot{\boldsymbol{d}}^2 + \frac{1}{\boldsymbol{R}} \boldsymbol{d}^2 + \frac{1}{4}\sqrt{\boldsymbol{R}^2 - \boldsymbol{d}^2}</math> where <math>\dot{\boldsymbol{d}} = \frac{d\boldsymbol{d}}{d\boldsymbol{\theta}}</math>. The three terms represent: # '''Kinetic Energy (<math>4\dot{\boldsymbol{d}}^2</math>):''' Transverse deformation energy along the cycle. # '''Potential Energy (<math>\frac{1}{\boldsymbol{R}}\boldsymbol{d}^2</math>):''' Axial elastic recall scaled by the compactification radius <math>\boldsymbol{R}</math>. # '''Surface Coupling (<math>\frac{1}{4}\sqrt{\boldsymbol{R}^2 - \boldsymbol{d}^2}</math>):''' Interaction with the observer/cutting plane. === 3.2 Weak Euler-Lagrange Solution === The strong Euler-Lagrange equation derived from <math>\boldsymbol{\mathcal{L}}_{\text{geo}}</math> is: <math display="block">8\ddot{\boldsymbol{d}} - \frac{2}{\boldsymbol{R}}\boldsymbol{d} + \frac{1}{4}\frac{\boldsymbol{d}}{\sqrt{\boldsymbol{R}^2 - \boldsymbol{d}^2}} = 0</math> For an extended topological deformation over the cycle <math>[0, 2\boldsymbol{\pi}]</math>, the physical equation of motion must be satisfied in its '''weak (integral) form''': <math display="block">\int_{0}^{2\boldsymbol{\pi}} \left( 8\ddot{\boldsymbol{d}} - \frac{2}{\boldsymbol{R}}\boldsymbol{d} + \frac{1}{4}\frac{\boldsymbol{d}}{\sqrt{\boldsymbol{R}^2 - \boldsymbol{d}^2}} \right) d\boldsymbol{\theta} = 0</math> Substituting the harmonic ansatz <math>\boldsymbol{d}(\boldsymbol{\theta}) = \boldsymbol{R}\sin\boldsymbol{\theta}</math> (where <math>\ddot{\boldsymbol{d}} = -\boldsymbol{R}\sin\boldsymbol{\theta} = -\boldsymbol{d}</math> and <math>\sqrt{\boldsymbol{R}^2 - \boldsymbol{d}^2} = \boldsymbol{R}|\cos\boldsymbol{\theta}|</math>): <math display="block">\int_{0}^{2\boldsymbol{\pi}} \left( -8\boldsymbol{R}\sin\boldsymbol{\theta} - 2\sin\boldsymbol{\theta} + \frac{1}{4}\tan\boldsymbol{\theta} \right) d\boldsymbol{\theta} = 0</math> Since <math>\int_0^{2\boldsymbol{\pi}} \sin\boldsymbol{\theta}\, d\boldsymbol{\theta} = 0</math> and the principal value <math>\int_0^{2\boldsymbol{\pi}} \tan\boldsymbol{\theta}\, d\boldsymbol{\theta} = 0</math> by quadrant symmetry, the integral vanishes identically. Thus, <math>\boldsymbol{d}(\boldsymbol{\theta}) = \boldsymbol{R}\sin\boldsymbol{\theta}</math> is an exact weak solution over the topological cycle. === 3.3 On-Shell Action and Resonance at R = \pi === Evaluating <math>\boldsymbol{\mathcal{L}}_{\text{geo}}</math> on-shell along <math>\boldsymbol{d}(\boldsymbol{\theta}) = \boldsymbol{R}\sin\boldsymbol{\theta}</math>: <math display="block">\boldsymbol{S}_{\text{geo}} = \int_{0}^{2\boldsymbol{\pi}} \left( 4\boldsymbol{R}^2\cos^2\boldsymbol{\theta} + \boldsymbol{R}\sin^2\boldsymbol{\theta} + \frac{\boldsymbol{R}}{4}|\cos\boldsymbol{\theta}| \right) d\boldsymbol{\theta}</math> Using the definite integrals over <math>[0, 2\boldsymbol{\pi}]</math> (<math>\int \cos^2\boldsymbol{\theta}\, d\boldsymbol{\theta} = \boldsymbol{\pi}</math>, <math>\int \sin^2\boldsymbol{\theta}\, d\boldsymbol{\theta} = \boldsymbol{\pi}</math>, <math>\int |\cos\boldsymbol{\theta}|\, d\boldsymbol{\theta} = 4</math>): <math display="block">\boldsymbol{S}_{\text{geo}} = 4\boldsymbol{\pi} \boldsymbol{R}^2 + \boldsymbol{\pi} \boldsymbol{R} + \boldsymbol{R}</math> Imposing the topological resonance condition <math>\boldsymbol{R} = \boldsymbol{\pi}</math> (where the radius matches half the phase period <math>\boldsymbol{T}/2 = \boldsymbol{\pi}</math>): <math display="block">\boldsymbol{S}_{\text{geo}}\Big|_{\boldsymbol{R}=\boldsymbol{\pi}} = 4\boldsymbol{\pi}^3 + \boldsymbol{\pi}^2 + \boldsymbol{\pi} \equiv \boldsymbol{A}(\boldsymbol{\pi})</math> === 3.4 Duality with the Polyakov Bosonic String === The [[w:en:Polyakov action|Polyakov action]] <ref name="polyakov1981" /> for a closed bosonic string compactified on a circle of radius <math>\boldsymbol{R} = \boldsymbol{\pi}</math> with conformal gauge <math>\boldsymbol{h}_{ab} = \boldsymbol{\eta}_{ab}</math> reduces to: <math display="block">\boldsymbol{\mathcal{L}}_{\text{Polyakov}}(\boldsymbol{\theta}) = \frac{\boldsymbol{T} \boldsymbol{R}^2}{2} \left[ (\partial_{\boldsymbol{\theta}} \boldsymbol{\phi})^2 + \boldsymbol{m}^2 \boldsymbol{\phi}^2 + \boldsymbol{\lambda} \sqrt{1 - \boldsymbol{\phi}^2} \right]</math> Equating coefficients with <math>\boldsymbol{\mathcal{L}}_{\text{geo}}</math> fixes the string parameters deterministically: * String Tension: <math>\boldsymbol{T} = 8</math> * Mass parameter: <math>\boldsymbol{m}^2 = \frac{1}{4\boldsymbol{\pi}}</math> * Non-linear coupling: <math>\boldsymbol{\lambda} = \frac{1}{16\boldsymbol{\pi}}</math> This indicates that the oscillating circle is topologically dual to a compactified Polyakov bosonic string <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q15 Node:Q15]</span>. == 4. Projective Geometry PG(2,2) and the Algebraic Origin of Alpha == === 4.1 Coupling the Oscillating Circle to the Fano Plane === The continuous dynamics of the oscillating circle (<math>\boldsymbol{R} = \boldsymbol{\pi}</math>) is coupled to the discrete projective structure of the [[w:en:Fano plane|Fano plane]] PG(2,2)—the smallest finite projective plane, comprising 7 points and 7 lines—via a spinorial phase <math>\boldsymbol{\theta} = \boldsymbol{\pi}/6</math> <ref name="blandino2026fano" />. The incidence matrix <math>\boldsymbol{M} \in \{0,1\}^{7 \times 7}</math> of the Fano plane satisfies <math>\boldsymbol{M} \boldsymbol{M}^\top = 2 \boldsymbol{I}_7 + \boldsymbol{J}_7</math>, with spectrum <math>\text{spec}(\boldsymbol{M} \boldsymbol{M}^\top) = \{9^1, 2^6\}</math>. The associated bipartite [[d:Q3046737|Heawood graph]] possesses the spectrum <math>\text{spec}(\boldsymbol{H}) = \{\pm 3^1, \pm\sqrt{2}^6\}</math> <ref name="brouwer2012" />, isolating <math>\sqrt{2}</math> as the combinatorial spectral invariant. === 4.2 The Spinorial Lift and Operator Algebra === We define the 4-dimensional two-qubit Hilbert space <math>\boldsymbol{\mathcal{H}} = \mathbb{C}^2 \otimes \mathbb{C}^2</math>. Under the spinorial reduction of Spin(7), the local operators representing physical dynamics are defined as: <math display="block">\boldsymbol{A} = 2\sqrt{2} \, (\boldsymbol{\sigma}_z \otimes \boldsymbol{I}_2), \qquad \boldsymbol{B} = \sqrt{7} \, (\boldsymbol{I}_2 \otimes \boldsymbol{\sigma}_z)</math> where: * <math>2\sqrt{2}</math> is the [[w:en:Tsirelson's bound|Tsirelson bound]] <ref name="cirelson1980" /> (<math>\boldsymbol{S}_{\text{Tsirelson}} = 2\sqrt{2}, \, \boldsymbol{S}_{\text{Tsirelson}}^2 = 8</math>), saturating the maximum quantum CHSH correlation <ref name="chsh1969" />. * <math>\sqrt{7}</math> is the quantum CHSH invariant evaluated at the spinorial phase <math>\boldsymbol{\theta} = \boldsymbol{\pi}/6</math>, where <math>\boldsymbol{S}_{\max}^2(\boldsymbol{\pi}/6) = 4(1 + \sin^2(\boldsymbol{\pi}/3)) = 7</math>, yielding <math>\boldsymbol{B}^2 = 7 \boldsymbol{I}_4</math>. === 4.3 The Difference Operator and Characteristic Polynomial === Define the difference operator <math>\boldsymbol{X} := \boldsymbol{A} - \boldsymbol{B} = 2\sqrt{2}(\boldsymbol{\sigma}_z \otimes \boldsymbol{I}_2) - \sqrt{7}(\boldsymbol{I}_2 \otimes \boldsymbol{\sigma}_z)</math> <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q9 Node:Q9]</span>. '''Theorem 2 (Spectrum and Characteristic Polynomial of X).''' ''The four distinct eigenvalues of <math>\boldsymbol{X}</math> are <math>\boldsymbol{\lambda}_{\pm\pm} = \pm 2\sqrt{2} \pm \sqrt{7}</math>. The characteristic polynomial <math>\boldsymbol{\chi}_{\boldsymbol{X}}(\boldsymbol{x}) = \det(\boldsymbol{x} \boldsymbol{I}_4 - \boldsymbol{X})</math> is given identically by:'' <math display="block">\boldsymbol{\chi}_{\boldsymbol{X}}(\boldsymbol{x}) = \boldsymbol{x}^4 - 30\boldsymbol{x}^2 + 1</math> ''Proof.'' Expanding the product of linear factors: <math display="block">\boldsymbol{\chi}_{\boldsymbol{X}}(\boldsymbol{x}) = \left(\boldsymbol{x}^2 - (2\sqrt{2} - \sqrt{7})^2\right) \left(\boldsymbol{x}^2 - (2\sqrt{2} + \sqrt{7})^2\right)</math> Computing the squared roots: <math display="block">(2\sqrt{2} \mp \sqrt{7})^2 = 8 + 7 \mp 4\sqrt{14} = 15 \mp 4\sqrt{14}</math> Summing the quadratic terms yields <math>15 + 15 = 30</math>, and the product of the constant terms yields <math>(15 - 4\sqrt{14})(15 + 4\sqrt{14}) = 225 - 224 = 1</math>. Hence, <math>\boldsymbol{\chi}_{\boldsymbol{X}}(\boldsymbol{x}) = \boldsymbol{x}^4 - 30\boldsymbol{x}^2 + 1</math>. <math>\blacksquare</math> === 4.4 Entanglement Deficit and Graphon Invariants === The fundamental root <math>\boldsymbol{\Delta S} := 2\sqrt{2} - \sqrt{7} \approx 0.182608</math> defines the '''entanglement deficit''' <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q10 Node:Q10]</span>, measuring the exact algebraic gap between the maximal Tsirelson bound <ref name="cirelson1980" /> and the Fano projective boundary. The monodromy operator <math>\boldsymbol{M}(\boldsymbol{\theta}) = \exp(i \boldsymbol{\theta} \boldsymbol{X})</math> acting with the spinorial step <math>\boldsymbol{\theta} = \boldsymbol{\pi}/6</math> generates a 24-step discrete clock whose eigenphases <math>\{e^{i n\boldsymbol{\pi}/6}\}_{n=1}^{24}</math> select the 24 transverse modes of the bosonic string <ref name="polyakov1981" />. === 4.5 Dimension 105 Factorization === The global deformation space of the coupled system obeys the exact algebraic factorization <ref name="blandino2026fano" />: <math display="block">105 = 7 \times 15 = |PG(2,2)| \times \dim(\text{SU}(4)) = 7 \times \left((2\sqrt{2})^2 + (\sqrt{7})^2\right)</math> where 15 is the dimension of the Clifford algebra <math>\mathfrak{su}(4)</math> acting on <math>\mathbb{C}^2 \otimes \mathbb{C}^2</math>, showing that the quantum state space of the vacuum aligns with the irreducible representation space of the Klein combinatorial algebra. === 4.6 The Fano-Snowflake and the Spinorial Rotation === The discrete geometric configuration known as the '''Fano-Snowflake''' was introduced by Saniga, Havlicek, Planat, and Pracna (2008) in the context of projectively defined ternary rings over <math>PG(2,2)</math> <ref name="saniga2008snowflake" />. In its original formulation, the Snowflake represents a static algebraic mapping of incidence relations across twin faces of projective structures. In this work, this combinatorial geometry is integrated with the boundary mechanics of the oscillating circle by mapping its 24 discrete coordinates onto the trajectory traced by an oscillating Polyakov string of radius <math>\boldsymbol{R} = \boldsymbol{\pi}</math> undergoing a discrete spinorial rotation. [[File:Fano snowflake spinorial clock.png|thumb|center|800px|'''Figure 1: Spinorial Rotation of the Oscillating Circle on the Fano Lattice.''' Projection of the continuous boundary trajectory (<math>\boldsymbol{R}=\boldsymbol{\pi}</math>) onto the discrete <math>PG(2,2)</math> incidence structure originally derived by Saniga et al. (2008). The discrete coordinates map onto the 24 eigenphases <math>\{e^{i n\boldsymbol{\pi}/6}\}_{n=1}^{24}</math> generated by the step-wise spinorial rotation <math>\boldsymbol{\theta} = \boldsymbol{\pi}/6</math>.]] ==== Dynamical Mechanism of the Oscillation ==== The continuous displacement field <math>\boldsymbol{d}(\boldsymbol{\theta}) = \boldsymbol{R}\sin\boldsymbol{\theta}</math> of the oscillating circle, sampled at discrete angular steps <math>\boldsymbol{\theta}_k = k\boldsymbol{\pi}/6</math>, generates a sequence of overlapping boundary frames. The transition between successive discrete states on the Fano plane is governed by the step operator: <math display="block">\boldsymbol{M}\left(\frac{\boldsymbol{\pi}}{6}\right) = \exp\left(i \frac{\boldsymbol{\pi}}{6} \boldsymbol{X}\right)</math> where <math>\boldsymbol{X} = \boldsymbol{A} - \boldsymbol{B}</math> is the difference operator acting on the two-qubit space <math>\mathbb{C}^2 \otimes \mathbb{C}^2</math>. * '''Classical vs. Spinorial Rotation''': A standard <math>2\boldsymbol{\pi}</math> spatial rotation corresponds to 12 discrete steps (<math>\Delta\boldsymbol{\theta} = 12 \times \boldsymbol{\pi}/6 = 2\boldsymbol{\pi}</math>). A full spinorial double-cover rotation of <math>4\boldsymbol{\pi}</math> requires 24 discrete steps (<math>\Delta\boldsymbol{\theta} = 24 \times \boldsymbol{\pi}/6 = 4\boldsymbol{\pi}</math>), generating the complete set of 24 eigenphases <math>\{e^{i n\boldsymbol{\pi}/6}\}_{n=1}^{24}</math> of the monodromy operator <math>\boldsymbol{U}_{24}</math>. * '''Hinge Localization''': The fundamental step <math>\boldsymbol{\theta} = \boldsymbol{\pi}/6</math> arises directly from the bisector geometry of the equilateral triangle (splitting the internal angle <math>\boldsymbol{\pi}/3</math> into two equal <math>\boldsymbol{\pi}/6</math> components) and isolates the antisymmetric singlet projector <math>\boldsymbol{P}_-</math> in the twin-face Lagrangian <math>\boldsymbol{\mathcal{L}}_{\text{hinge}}</math>. This construction uses the Fano-Snowflake geometry of Saniga et al. as a discrete invariant trace left by the spinorial rotation of the quantized oscillating string. <div style="text-align: center; margin: 25px 0;"> [[File:The topological quantum engine that generates alpha.gif|center|Topological-Quantum Engine (Z24 Monodromy Clock & Polyakov String Oscillation R=π)]] <p style="font-size: 13px; color: #475569; margin-top: 10px; max-width: 900px; margin-left: auto; margin-right: auto;"> ''Live Topological-Quantum Engine Execution: Polyakov string oscillation (<math>R=\pi</math>) and Monodromy clock stepping. Note: The full engine operates on a <math>Z_{24}</math> discrete cycle; this preview is truncated to 3 ticks to optimize media bandwidth. Media released under CC BY-SA 4.0.'' </p> </div> === 4.7 Variational Effective Potential and Equilibrium at <math>\boldsymbol{R} = \boldsymbol{\pi}</math> === To analyze the stability of the compactification radius <math>\boldsymbol{R} = \boldsymbol{\pi}</math>, we construct the effective potential energy functional <math>\boldsymbol{V}_{\text{eff}}(\boldsymbol{R})</math> for the continuous displacement field <math>\boldsymbol{d}(\boldsymbol{\theta}) = \boldsymbol{R}\sin\boldsymbol{\theta}</math> on <math>S^1</math>, coupled to the discrete Fano entanglement deficit constraint <math>\boldsymbol{\Delta S} = 2\sqrt{2} - \sqrt{7}</math>: <math display="block">\boldsymbol{V}_{\text{eff}}(\boldsymbol{R}) = \frac{2\boldsymbol{\pi}^2}{\boldsymbol{\Delta S}} \boldsymbol{R}^2 - \frac{4\boldsymbol{\pi}^3}{\boldsymbol{\Delta S}} \boldsymbol{R}</math> Applying the stationary condition with respect to the compactification radius <math>\boldsymbol{R}</math>: <math display="block">\frac{\partial \boldsymbol{V}_{\text{eff}}}{\partial \boldsymbol{R}} = \frac{4\boldsymbol{\pi}^2}{\boldsymbol{\Delta S}} \boldsymbol{R} - \frac{4\boldsymbol{\pi}^3}{\boldsymbol{\Delta S}} = 0 \implies \boldsymbol{R} = \boldsymbol{\pi}</math> Furthermore, evaluating the second derivative yields a positive curvature: <math display="block">\frac{\partial^2 \boldsymbol{V}_{\text{eff}}}{\partial \boldsymbol{R}^2} = \frac{4\boldsymbol{\pi}^2}{\boldsymbol{\Delta S}} > 0</math> This confirms that <math>\boldsymbol{R} = \boldsymbol{\pi}</math> represents a strict local minimum of the effective potential energy (and a corresponding stationary point of the dual action functional). === 4.8 Spectral Isomorphism: From PGL(3,2) Automorphisms to MPS Transfer Matrix === The projection of the discrete Fano incidence geometry <math>PG(2,2)</math> onto the Matrix Product State (MPS) tensor network is mediated by the automorphism group <math>\boldsymbol{G} = PGL(3,2)</math> of order 168. Let <math>\{\boldsymbol{M}_i\}_{i=1}^{7}</math> denote the localized generators on the two-qubit Hilbert space <math>\mathbb{C}^2 \otimes \mathbb{C}^2 \cong \mathfrak{su}(4)</math>. The group action of <math>\boldsymbol{g} \in PGL(3,2)</math> acts on the local MPS tensors via the permutation representation <math>\boldsymbol{\Pi}(\boldsymbol{g})_{ij}</math>. The invariant contracted Transfer Matrix <math>\boldsymbol{\mathbb{T}} \in \mathbb{C}^{D^2 \times D^2}</math> is constructed as: <math display="block">\boldsymbol{\mathbb{T}} = \frac{1}{168} \sum_{\boldsymbol{g} \in PGL(3,2)} \sum_{i,j=1}^{7} \boldsymbol{\Pi}(\boldsymbol{g})_{ij} \left( \boldsymbol{M}_i \otimes \boldsymbol{M}_j^\dagger \right)</math> In the bond dimension saturation limit <math>\boldsymbol{D} = 45 = \dim(\mathfrak{so}(10))</math>, the characteristic polynomial of the Transfer Matrix inherits the exact algebraic factorized structure of the difference operator <math>\boldsymbol{X} = \boldsymbol{A} - \boldsymbol{B}</math>: <math display="block">\det(\lambda \boldsymbol{I} - \boldsymbol{\mathbb{T}}) = \left( \lambda^4 - 30\lambda^2 + 1 \right)^{\otimes 11} \cdot (\lambda - \lambda_{\max})</math> '''Theorem (Bhargava Higher Composition Extension for Tensor Networks):''' Let <math>\boldsymbol{\chi}_{\boldsymbol{X}}(\lambda) = \lambda^4 - 30\lambda^2 + 1</math> be the resolvent polynomial of the difference operator <math>\boldsymbol{X}</math>. By Bhargava's higher composition laws on <math>2 \times 2 \times 2</math> trilinear forms <ref name="bhargava2004quartic" />, the space of <math>PGL(3,2)</math>-invariant tensor contractions over <math>\mathfrak{so}(10)</math> decomposes into 11 independent, irreducible 4-dimensional orbit modules. Consequently, the transfer matrix <math>\boldsymbol{\mathbb{T}}</math> inherits the algebraic factorized spectral structure <math>(\boldsymbol{\chi}_{\boldsymbol{X}}(\lambda))^{\otimes 11}</math> with a single non-degenerate boundary shift corresponding to the dominant eigenvalue <math>\lambda_{\max}</math>. The dominant eigenvalue <math>\lambda_{\max}</math> defines the asymptotic bound mapping directly to the inverse fine-structure constant <math>\boldsymbol{\alpha}^{-1}</math>: <math display="block">\ln \lambda_{\max} - \boldsymbol{\pi} = \boldsymbol{\alpha}^{-1} = 137.0359991678</math> This asymptotic limit, verified via Monte Carlo sampling across <math>10^6</math> steps in the verification suite, confirms that <math>\boldsymbol{\alpha}^{-1}</math> behaves as a topological invariant generated by the spectral bound of <math>PG(2,2)</math>. === 4.9 Topological Rigidity of the Bond Dimension <math>\boldsymbol{D} = 45</math> === The bond dimension <math>\boldsymbol{D} = 45</math> of the circular MPS is modeled as a topological and algebraic constraint. The virtual space of the tensor network is investigated through three mutually reinforcing algebraic routes. ==== 4.9.1 The Kostant Dual Constraint and Explicit Anomaly Bound ==== Let <math>\boldsymbol{V}</math> be the virtual tensor space of the circular MPS, defined as a finite-dimensional module over the Lie algebra <math>\mathfrak{so}(10)</math> <ref name="kostant1999" />. The transfer operator of the MPS is invariant under the action of <math>\mathfrak{so}(10)</math>. '''Lemma 11.1 (Anomaly bound via instanton evaluation).''' The cancellation of the gauge anomaly on the spatial section <math>\boldsymbol{S}^3</math> requires that the dimension of the virtual representation space satisfies: <math display="block">\dim(\boldsymbol{V}) \ge \dim(\text{adj } \mathfrak{so}(10)) = 45</math> ''Proof.'' Consider a compact bounding four-manifold <math>\boldsymbol{B}^4</math> such that <math>\partial\boldsymbol{B}^4 = \boldsymbol{S}^3</math>. By the Atiyah-Patodi-Singer index theorem <ref name="aps1975" />, the index of the chiral Dirac operator coupled to the vector bundle <math>\boldsymbol{E}_{\boldsymbol{V}}</math> is determined by the bulk integral. Retaining the gauge contribution, we have: <math display="block">\text{index}(\boldsymbol{\mathcal{D}}_{\boldsymbol{B}^4}) \propto \int_{\boldsymbol{B}^4} \text{tr}_{\boldsymbol{V}}(\boldsymbol{F} \wedge \boldsymbol{F})</math> where <math>\boldsymbol{F}</math> is the gauge curvature two-form. We normalise the trace in representation <math>\boldsymbol{V}</math> as <math>\text{tr}_{\boldsymbol{V}}(\boldsymbol{T}_a \boldsymbol{T}_b) = \boldsymbol{\kappa}_{\boldsymbol{V}} \boldsymbol{\delta}_{ab}</math>, where <math>\boldsymbol{\kappa}_{\boldsymbol{V}}</math> is the Dynkin index. For the adjoint representation of <math>\mathfrak{so}(10)</math>, <math>\boldsymbol{\kappa}_{\text{adj}} = 2\boldsymbol{h}^\vee = 16</math>. To explicitly evaluate the anomaly inflow, we choose a representative unit instanton background (<math>\boldsymbol{k} = 1</math>) on <math>\boldsymbol{B}^4</math>, embedded via <math>SU(2) \hookrightarrow SO(10)</math>. For such a background, the integral of the second Chern character yields: <math display="block">\int_{\boldsymbol{B}^4} \text{tr}_{\boldsymbol{V}}(\boldsymbol{F} \wedge \boldsymbol{F}) = \boldsymbol{\kappa}_{\boldsymbol{V}} \cdot 8\boldsymbol{\pi}^2 \boldsymbol{k} = \boldsymbol{\kappa}_{\boldsymbol{V}} \cdot 8\boldsymbol{\pi}^2</math> Anomaly cancellation requires that <math>\boldsymbol{\kappa}_{\boldsymbol{V}}</math> be an integer multiple of the adjoint Dynkin index: <math display="block">\boldsymbol{\kappa}_{\boldsymbol{V}} = \boldsymbol{m} \cdot \boldsymbol{\kappa}_{\text{adj}}, \quad \boldsymbol{m} \in \mathbb{Z}_{\ge 1}</math> The minimal non-trivial anomaly-free sector corresponds to <math>\boldsymbol{m} = 1</math>, giving <math>\boldsymbol{\kappa}_{\boldsymbol{V}} = 16</math>. Under this embedding, the smallest representation of <math>\mathfrak{so}(10)</math> that realises this Dynkin index is the adjoint representation itself. Therefore, <math>\dim(\boldsymbol{V}) \ge 45</math>. '''Lemma 11.2 (Uniqueness of the adjoint subspace).''' If the transfer operator commutes with the <math>\mathfrak{so}(10)</math>-action and its spectrum matches the Casimir eigenvalues of the adjoint representation with multiplicity one, then <math>\boldsymbol{V}</math> is uniquely isomorphic to the adjoint representation. Combining the explicit anomaly bound and the spectral uniqueness, the inequality is saturated, yielding exactly: <math display="block">\boldsymbol{D} = \dim(\boldsymbol{V}) = 45</math> ==== 4.9.2 The Hilbert Series of the Fano 2-22 ==== Let <math>\boldsymbol{X}</math> be the Fano 3-fold 2-22 (Mori-Mukai ID-69). Its Hilbert series is defined by the Minkowski period coefficients <math>\boldsymbol{c}_n</math>. Based on the structural parameters of the Lagrangian, the coefficients <math>\boldsymbol{c}_5, \boldsymbol{c}_6, \boldsymbol{c}_7</math> satisfy the following algebraic system: <math display="block"> \begin{cases} \boldsymbol{c}_5 = 24 \boldsymbol{D} \\ \boldsymbol{c}_6 = \frac{4}{3} \boldsymbol{D} (\boldsymbol{D} + 64) \\ \boldsymbol{c}_7 = 32 \boldsymbol{D} (\boldsymbol{D} - 10) \end{cases} </math> The coefficient <math>\boldsymbol{c}_5</math> is a topological invariant of <math>\boldsymbol{X}</math> given by <math>\boldsymbol{c}_5 = 24 \cdot (2\boldsymbol{g} + 1)</math>, where <math>\boldsymbol{g} = 22</math> is the degree of the Fano 2-22. Thus, <math>\boldsymbol{c}_5 = 1080</math>. Substituting <math>\boldsymbol{c}_5 = 1080</math> into the first equation yields: <math display="block">\boldsymbol{D} = \frac{1080}{24} = 45</math> Substituting <math>\boldsymbol{D} = 45</math> into the second and third equations yields <math>\boldsymbol{c}_6 = 6540</math> and <math>\boldsymbol{c}_7 = 50400</math>, matching the Minkowski coefficients recorded in the Graded Ring Database (GRDB) for ID-69. ==== 4.9.3 The Picard-Fuchs Congruence ==== The reduced Picard-Fuchs operator derived from the Dyson-Schwinger equation takes the form: <math display="block">\widetilde{\boldsymbol{\mathcal{D}}}(\boldsymbol{\Theta}) = \boldsymbol{\Theta}^3 - 6\boldsymbol{\Theta}^2 + 11\boldsymbol{\Theta} - 6 = (\boldsymbol{\Theta} - 1)(\boldsymbol{\Theta} - 2)(\boldsymbol{\Theta} - 3)</math> The roots <math>\boldsymbol{\Theta} = 1, 2, 3</math> correspond to the monodromy eigenvalues. By Picard-Lefschetz theory and Hodge theory <ref name="voisin2002" />, the monodromy representation on the middle cohomology <math>H^3(\boldsymbol{X}, \mathbb{Z})</math> has dimension <math>b_3(\boldsymbol{X}) = 2\boldsymbol{g} + 2 = 46</math>. '''Lemma 11.3 (Monodromy to virtual dimension).''' The reduction of the monodromy representation modulo the lattice of vanishing cycles leaves a <math>(2\boldsymbol{g} + 1)</math>-dimensional subspace, mapping via immersion to the virtual space of the transfer operator. Applying this reduction to the Fano 2-22 (where <math>\boldsymbol{g} = 22</math>), we obtain: <math display="block">\boldsymbol{D} = 2\boldsymbol{g} + 1 = 2(22) + 1 = 45</math> ==== 4.9.4 Synthesis of the Derivations ==== These three derivations provide mutually reinforcing algebraic perspectives (gauge anomaly inflow, period Hilbert series, and monodromy reduction) originating from common topological constraints within the <math>SO(10)</math> / Fano 2-22 framework: {| class="wikitable" style="text-align: center; margin: 1em auto;" |+ Table 1: Three mutually reinforcing analytical perspectives for <math>\boldsymbol{D} = 45</math> |- ! Principle !! Derivation !! Wikibase Reference |- | Kostant dual constraint || <math>\boldsymbol{D} = \dim(\text{adj } SO(10)) = 45</math> || <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q68 Q68]</span> |- | Hilbert series consistency || <math>\boldsymbol{D} = \boldsymbol{c}_5/24 = 1080/24 = 45</math> || <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q69 Q69]</span> |- | Picard-Fuchs congruence || <math>\boldsymbol{D} = 2\boldsymbol{g} + 1 = 2(22) + 1 = 45</math> || <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold;">[https://blandino-research.wikibase.cloud/wiki/Item:Q70 Q70]</span> |} These distinct lines of reasoning establish that the bond dimension <math>\boldsymbol{D} = 45</math> serves as a central structural invariant within the proposed construction <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q71 Node:Q71]</span>. ==== 4.9.5 Spectral Stability, Product Collapse, and Functorial Construction ==== ===== 4.9.5.1 Discretization, Operator Stability, and Commutativity ===== Consider the discretization of the cycle into <math>N</math> points <math>\theta_i = i \cdot \Delta\theta</math> with <math>\Delta\theta = 2\pi/N</math>, associating a tensor <math>T(\theta_i)</math> acting on a virtual space of bond dimension <math>\boldsymbol{D} = 45</math>. The transfer generator is defined as: :<math>G(\theta) = L_{\text{geo}}(\theta) \mathbb{I}_D + \varepsilon \hat{K}_D \qquad \text{(1)}</math> where <math>\hat{K}_D = \Pi_D \hat{K} \Pi_D</math> is obtained via the spectral projection operator <math>\Pi_D</math> onto the top-<math>\boldsymbol{D}</math> subspace. To establish the <math>\theta</math>-independence of <math>\Pi_D</math> rigorously, we combine a uniform spectral gap hypothesis with the Davis–Kahan perturbation bound. Assuming a uniform spectral gap: :<math>\gamma := \min_{\theta \in [0,2\pi]} \left| \lambda_D(\hat{K}(\theta)) - \lambda_{D+1}(\hat{K}(\theta)) \right| > 0 \qquad \text{(2)}</math> the spectral projector <math>\Pi_D</math> remains stable under small perturbations of <math>\hat{K}(\theta)</math>. Numerical verification demonstrates a minimum gap <math>\gamma_{\text{min}} > 10^{-2}</math> and a maximum commutator norm <math>\delta_{\text{max}} < 4.5 \times 10^{-21}</math>, ensuring that residual <math>\theta</math>-dependence in <math>\Pi_D</math> introduces negligible corrections to <math>\ln \lambda_{\text{max}}</math> at the working precision. ===== Theorem 4.9.5.1 (Generator Commutativity and Product Collapse) ===== For any phases <math>\theta_A, \theta_B \in [0, 2\pi]</math>, the transfer generators strictly commute: :<math>[G(\theta_A), G(\theta_B)] = 0 \qquad \text{(3)}</math> Consequently, the ordered product of transfer matrices collapses to an exact exponential sum: :<math>\prod_{i=1}^{N} \exp\left( G(\theta_i) \Delta\theta \right) = \exp\left( \sum_{i=1}^{N} G(\theta_i) \Delta\theta \right) \qquad \text{(4)}</math> '''Proof.''' Each generator <math>G(\theta)</math> is a linear combination of a scalar multiple of the identity operator <math>L_{\text{geo}}(\theta) \mathbb{I}_D</math> and the constant matrix <math>\varepsilon \hat{K}_D</math>. Since scalar matrices commute with all operators and <math>\hat{K}_D</math> commutes with itself, <math>[G(\theta_A), G(\theta_B)] = 0</math> holds identically. Because all generators commute pairwise, all higher-order commutator terms in the Baker–Campbell–Hausdorff (BCH) expansion vanish identically. By finite induction, the product of exponentials reduces strictly to the exponential of the Riemann sum, establishing equation (4). <math>\blacksquare</math> ===== Theorem 4.9.5.2 (Spectral Duality in the Continuum Limit) ===== In the continuum limit <math>N \to \infty</math>, the dominant eigenvalue <math>\lambda_{\text{max}}</math> of the circular MPS satisfies the spectral duality relation: :<math>\ln \lambda_{\text{max}} = A_{\text{geo}} + 2\pi \varepsilon \mu \qquad \text{(5)}</math> where <math>\mu = \lambda_{\text{max}}(\hat{K}_D)</math> and <math>A_{\text{geo}} = 4\pi^3 + \pi^2 + \pi</math> in the unperturbed geometric limit (<math>\varepsilon = 0</math>). '''Proof.''' Taking <math>N \to \infty</math> in the collapsed product equation (4), the discrete sum over <math>L_{\text{geo}}(\theta_i) \Delta\theta</math> converges to the geometric action integral <math>A_{\text{geo}} = \int_0^{2\pi} L_{\text{geo}}(\theta) d\theta</math>. The dominant eigenvalue corresponds directly to the maximum eigenvalue <math>\mu</math> of <math>\hat{K}_D</math>, completing the relation. <math>\blacksquare</math> ===== 4.9.5.2 Categorical Equivalence via Functor F ===== We formalize this continuous transfer framework as a functor <math>F \colon \mathbf{C}_{\text{DS}} \to \mathbf{C}_{\text{Fano}}</math> between the category of continuous tensor states <math>\mathbf{C}_{\text{DS}}</math> and the category of Fano period modules <math>\mathbf{C}_{\text{Fano}}</math>: # '''Object Mapping:''' For any tensor state <math>|\Psi\rangle \in \text{Ob}(\mathbf{C}_{\text{DS}})</math>, the functor maps <math>F(|\Psi\rangle) = \varpi_{|\Psi\rangle} \in H^3(X, \mathbb{C})</math>, mapping the cMPS vacuum state <math>|\Omega_{\text{DS}}\rangle</math> directly to the fundamental Minkowski period vector <math>\varpi_0</math>. # '''Morphism Mapping:''' For any transfer contraction <math>T_{\Delta\theta}</math>, the functor maps <math>F(T_{\Delta\theta}) = \exp\left( \int_{\gamma(\Delta\theta)} \nabla^{\text{GM}} \right)</math>. ===== Theorem 4.9.5.3 (Preservation of Composition) ===== The mapping <math>F</math> strictly preserves morphism composition: :<math>F(T_{\Delta\theta_2} \circ T_{\Delta\theta_1}) = F(T_{\Delta\theta_2}) \circ F(T_{\Delta\theta_1}) \qquad \text{(6)}</math> '''Proof.''' By the exact Product Collapse property (Theorem 4.9.5.1), the composition of transfer contractions evaluates to: :<math>T_{\Delta\theta_2} \circ T_{\Delta\theta_1} = \exp\left( (G(\theta_1) + G(\theta_2))\Delta\theta \right) = T_{\Delta\theta_1 + \Delta\theta_2}</math> Applying <math>F</math> yields: :<math>F(T_{\Delta\theta_1 + \Delta\theta_2}) = \exp\left( \int_{\gamma_1 * \gamma_2} \nabla^{\text{GM}} \right) \qquad \text{(7)}</math> Because the Gauss-Manin connection <math>\nabla^{\text{GM}}</math> is flat on the restricted bundle <math>E \to \mathcal{M}_{\text{Fano}}</math>, path integration factorizes over path concatenation: :<math>\exp\left( \int_{\gamma_1 * \gamma_2} \nabla^{\text{GM}} \right) = \exp\left( \int_{\gamma_2} \nabla^{\text{GM}} \right) \circ \exp\left( \int_{\gamma_1} \nabla^{\text{GM}} \right) = F(T_{\Delta\theta_2}) \circ F(T_{\Delta\theta_1}) \qquad \text{(8)}</math> Hence, functoriality holds identically. <math>\blacksquare</math> ===== Theorem 4.9.5.4 (Faithfulness and Embedding Equivalence) ===== The functor <math>F \colon \mathbf{C}_{\text{DS}} \to \mathbf{C}_{\text{Fano}}</math> is faithful (injective on Hom-sets) and establishes a dense full equivalence onto its image. '''Proof.''' Let <math>T_1, T_2 \in \text{Hom}_{\mathbf{C}_{\text{DS}}}(|\Psi_1\rangle, |\Psi_2\rangle)</math> such that <math>F(T_1) = F(T_2)</math>. Then: :<math>\exp\left( \int_{\gamma_1} \nabla^{\text{GM}} \right) = \exp\left( \int_{\gamma_2} \nabla^{\text{GM}} \right) \qquad \text{(9)}</math> Evaluating the action of both parallel transport operators on the fundamental period vector <math>\varpi_0</math> yields identical Minkowski period expansions <math>\sum c_n t^n</math>. By Section '''4.9.2''', the sequence <math>\{c_n\}</math> uniquely recovers the structural parameters <math>\boldsymbol{D} = 45</math>, <math>T = 8</math>, and <math>R = \pi</math> through the non-degenerate factorizations: :<math>c_5 = 24\boldsymbol{D}, \qquad c_6 = \frac{4}{3}\boldsymbol{D}(\boldsymbol{D} + 64), \qquad c_7 = 32\boldsymbol{D}(\boldsymbol{D} - 10)</math> Since the transfer generator <math>G(\theta)</math> is uniquely parameterized by these exact topological invariants, we have: :<math>F(T_1) = F(T_2) \implies T_1 = T_2</math> Thus, <math>F</math> is faithful. Furthermore, because every deformation trajectory in <math>\mathcal{M}_{\text{Fano}}</math> generated by <math>\mathcal{D}_{\text{PF}}</math> uniquely corresponds to a valid transfer phase <math>\theta</math>, <math>F</math> is full on the intermediate cohomology sector, completing the categorical equivalence. <math>\blacksquare</math> == 5. Algorithmic Verification and Falsifiability Suites == The theoretical architecture is verified through automated computational suites. The models operate strictly without free parameters, relying on geometric invariants and topological bounds. === 5.1 Arithmetic Boundedness of Historical Data === A fine scan of the historical CODATA values for <math>\boldsymbol{\alpha}^{-1}</math> (2006-2022) <ref name="codata2022" /> confirms that all values within the experimental interval generate continued fractions with partial quotients strictly bounded by 45. The exact three-term formula yields an error of <math>9 \times 10^{-11}</math> against the CODATA 2022 value <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q49 Module:Q49]</span>. === 5.2 Quantum Structure Operator and Ergodic Convergence === Simulating the quantum vacuum as a superposition of bounded continued fractions (<math>10^6</math> collapses, depth 20), the dimensionless structure operator converges ergodically to <math>\langle \hat{\boldsymbol{S}} \rangle = 137.035999167852</math>. The difference from the experimental value is strictly bounded below <math>10^{-8}</math>. A sensitivity scan proves that this expectation value is invariant under variations of the interaction energy threshold <math>\boldsymbol{E}_{\text{int}}</math>, confirming that the convergence is structural and not an artifact of calibration (variation <math>< 10^{-8}</math> across the entire test spectrum) <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q51 Module:Q51]</span>. === 5.3 Geometric Falsification and Circular MPS === Falsification tests over continuous geometries demonstrate that the action minimizes for a harmonic oscillation, a circle of radius <math>\boldsymbol{R} = \boldsymbol{\pi}</math>, and coefficients (4, 1, 1/4). Introduction of noise, asymmetry, or frequency deviation increases the error relative to the physical target value. The contraction of the circular Matrix Product State (MPS) <ref name="verstraete2004" /> confirms this geometric action. At high resolution (<math>\boldsymbol{N} = 10^6</math> steps), the MPS yields <math>4\boldsymbol{\pi}^3 + \boldsymbol{\pi}^2 + \boldsymbol{\pi}</math> with a spectral error of <math>1.06 \times 10^{-11}</math>. The Polyakov-MPS duality achieves optimal numerical precision at <math>\boldsymbol{N} = 5000</math>, yielding <math>\boldsymbol{\alpha}^{-1} = \ln(\boldsymbol{\lambda}_{\max}) - \boldsymbol{\pi}</math> with an error of <math>2.84 \times 10^{-7}</math> <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q50 Module:Q50]</span>. === 5.4 Fano-Alpha Unified Algebraic Verification === The coupling between the continuous Lagrangian and the Fano plane PG(2,2) is verified through the [[w:en:Dirac operator|Dirac operator]] and the spinorial monodromy. The computational suite confirms: * The Heawood spectrum multiplicities (eigenvalues <math>\pm 3</math> and <math>\pm \sqrt{2}</math>) <ref name="brouwer2012" />. * The maximal CHSH correlation saturating at 7.0 for the phase <math>\boldsymbol{\theta} = \boldsymbol{\pi}/6</math> <ref name="chsh1969" />. * The exact characteristic polynomial <math>\boldsymbol{\chi}_{\boldsymbol{X}}(\boldsymbol{x}) = \boldsymbol{x}^4 - 30\boldsymbol{x}^2 + 1</math> with matrix traces <math>\text{Tr}(\boldsymbol{X}^2) = 60</math> and <math>\text{Tr}(\boldsymbol{X}^4) = 1796</math>. * The unitary monodromy operator <math>\boldsymbol{U}_{24}</math> matching the 24 string transverse modes <ref name="polchinski1998" />. === 5.5 Hydrogen Ground State Emergence === By utilizing the vacuum persistence amplitude <math>\boldsymbol{\Psi}_{\text{vac}} = e^{-\boldsymbol{\alpha}^{-1}}</math> extracted from the circular MPS (with bond dimension <math>\boldsymbol{D}=45</math>, tension <math>\boldsymbol{T}=8</math>, and 24 transverse modes), the physical properties of the hydrogen atom are calculated <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q46 Paper:Q46]</span> &bull; <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q47 Suite:Q47]</span>. Combining the pure topological output with the lepton mass scale (<math>\boldsymbol{m}_e</math>) yields: * Binding Energy: <math>-13.6057\text{ eV}</math> * Bohr Radius: <math>52.92\text{ pm}</math> * Orbital Velocity: <math>2187.69\text{ km/s}</math> * Vacuum Decay Probability: <math>3.06 \times 10^{-60}</math> === 5.6 Epistemological & Methodological Framework === To provide a transparent academic foundation and distinguish between exact analytical models and numerical verifications, the following structural principles are explicitly established within the framework: ==== 5.6.1 Analytical Proofs vs. Numerical Verifications ==== An operational boundary is maintained between abstract mathematical derivations and Python computational routines: * '''Analytical Derivations''': The dimension saturation <math>\boldsymbol{D} = 45</math>, the polynomial generator <math>\boldsymbol{A}(\boldsymbol{x}) = 4\boldsymbol{x}^3+\boldsymbol{x}^2+\boldsymbol{x}</math>, and the transfer matrix factorization <math>(\boldsymbol{\chi}_{\boldsymbol{X}}(\boldsymbol{\lambda}))^{\otimes 11}</math> are derived via formal analytical theorems detailed in Sections 4.8 and 4.9 <span style="background: #e0f2fe; color: #0369a1; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q66 Proof:Q66]</span>. Furthermore, symbolic reduction via <code>SymPy</code> yields the exact Picard-Fuchs/Dyson-Schwinger operator identity <math>\widetilde{\boldsymbol{\mathcal{D}}}(\boldsymbol{\Theta}) = \boldsymbol{\Theta}^3 - 6\boldsymbol{\Theta}^2 + 11\boldsymbol{\Theta} - 6 = 0</math> <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 5px; border-radius: 3px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q58 Module:Q58]</span>. * '''Numerical Verifications''': The 18-module Python suite (50-digit precision floating-point, Monte Carlo sampling, SDP solver) serves as an independent reproducibility check to confirm that high-precision numerical evaluations converge precisely onto the exact analytical bounds to within <math>10^{-14}</math>. ==== 5.6.2 Algebraic Relationships Between Model Parameters ==== The numerical structural parameters <math>(4, 6, 15, 24, 45)</math> represent mutually reinforcing algebraic consequences within the underlying <math>SO(10)</math> / Fano 2-22 framework: * '''Leading Coefficient 4''': Serves as the leading coefficient of the cubic generator polynomial <math>\boldsymbol{A}(\boldsymbol{x}) = 4\boldsymbol{x}^3 + \boldsymbol{x}^2 + \boldsymbol{x}</math>, representing the dimension of the irreducible Dirac spinor space <math>\mathbb{C}^4</math> in four spacetime dimensions under the Clifford algebra <math>\text{Cl}(3,1)</math>. * '''Unit Evaluation 6''': Emerges as the evaluation of the complete cubic generator polynomial at unity <math>\boldsymbol{A}(1) = 4(1)^3 + (1)^2 + 1 = 6</math>. It reflects the dimension of the Lorentz group <math>SO(3,1)</math> (6 generators of rotations and boosts), matches the edge count of the fundamental 3-simplex (tetrahedron), and sets the spectral multiplicity of the Heawood graph non-trivial eigenvalues <math>\pm\sqrt{2}^6</math>, which matches the first non-trivial Minkowski period coefficient <math>\boldsymbol{c}_2 = 6</math> of the Fano 2-22 3-fold. * '''Invariant 15''': Derived as the absolute discriminant <math>|\boldsymbol{\Delta}| = 15</math> of the Bhargava cubic ring <math>(4,1,1,0)</math> associated with <math>\boldsymbol{A}(\boldsymbol{x})</math>, which equals <math>\dim(\mathfrak{su}(4)) = 15</math>. This ties the Lie algebra dimension to the maximal order of the corresponding Delone-Faddeev cubic ring <ref name="bhargava2004cubic" />. * '''Derivative 24''': Uniform coordinate-independent third derivative <math>\boldsymbol{A}'''(\boldsymbol{x}) \equiv 24</math>, fixing the transverse physical modes of the bosonic string. * '''Bond Dimension 45''': Derived via three mutually reinforcing analytical perspectives (detailed in Section 4.9): (1) Gauge anomaly cancellation on <math>S^3</math> via the Atiyah-Patodi-Singer index requiring <math>\boldsymbol{D} = \dim(\text{adj } \mathfrak{so}(10)) = 45</math>; (2) Fano 2-22 Minkowski period factorization <math>\boldsymbol{c}_5 = 1080 \implies \boldsymbol{D} = 1080 / 24 = 45</math>; (3) Picard-Lefschetz monodromy reduction on the middle cohomology <math>\boldsymbol{b}_3 = 46 \implies \boldsymbol{D} = 46 - 1 = 45</math>. A null-model test across 10,000 stochastic trials yields a false-positive rate <math>\boldsymbol{p} < 1.2 \times 10^{-3}</math> against the tested random distribution, confirming statistical improbability under random sampling. The parameters <math>(4, 6, 15, 24, 45)</math> are structurally linked within the model by Bhargava's higher composition laws on trilinear forms <ref name="bhargava2004quartic" />, spectral rigidity theorems, and Fano period factorizations. ==== 5.6.3 Variational Behavior at <math>\boldsymbol{R} = \boldsymbol{\pi}</math> ==== The compactification radius <math>\boldsymbol{R} = \boldsymbol{\pi}</math> is derived as the stationary point (<math>\frac{\partial \boldsymbol{V}_{\text{eff}}}{\partial \boldsymbol{R}} = 0</math>) and local minimum (<math>\frac{\partial^2 \boldsymbol{V}_{\text{eff}}}{\partial \boldsymbol{R}^2} > 0</math>) of the effective potential energy coupled to the Fano entanglement deficit <math>\boldsymbol{\Delta S} = 2\sqrt{2} - \sqrt{7}</math>. ==== 5.6.4 Falsifiability & Parameter Independence ==== The construction introduces zero free adjustable parameters. The framework is open to falsification: any deviation in the bond dimension <math>\boldsymbol{D} \neq 45</math>, any loss of commutativity in tensor blocks (<math>[\boldsymbol{G}(\boldsymbol{\theta}_1), \boldsymbol{G}(\boldsymbol{\theta}_2)] \neq 0</math>), or any mismatch in the Fano 2-22 period sequence would invalidate the internal spectral isomorphism with <math>\boldsymbol{\alpha}^{-1}</math>. === 5.7 External Note on Consistency with g-2-Derived Determinations of the Fine-Structure Constant === Recent high-precision measurements of the electron anomalous magnetic moment <math>\boldsymbol{a}_e</math>, together with atom-interferometric determinations of the fine-structure constant, provide independent benchmarks against which theoretical predictions of <math>\boldsymbol{\alpha}</math> may be compared. In this context, it is relevant to observe that the values obtained in [https://doi.org/10.5281/zenodo.20789062 "Spectral Invariants of Circular Tensor Networks on the Moduli Space of Fano 3-Folds"] are numerically consistent with the most accurate g-2-derived determinations currently available. The closed algebraic-geometric derivation presented in the manuscript yields: :<math>\boldsymbol{\alpha}^{-1}_{\text{theory}} = 137.0359991678</math> A subsequent quantum Monte Carlo analysis of the associated structure operator produces a distribution with mean: :<math>\langle \hat{\boldsymbol{S}} \rangle = 137.035999168</math> and a maximal value: :<math>\boldsymbol{S}_{\max} = 137.035999204</math> These values fall within the uncertainty ranges of two independent determinations of <math>\boldsymbol{\alpha}</math> derived from the electron g-2: # '''Rubidium atom interferometry (Nature 2020)''' #: <math>\boldsymbol{\alpha}^{-1}_{\text{Rb20}} = 137.035999206(11)</math> #: with which the theoretical maximum <math>\boldsymbol{S}_{\max}</math> agrees to within experimental uncertainty. # '''Revised <math>\boldsymbol{a}_e</math>-based determination (2024-2025 QED correction)''' #: <math>\boldsymbol{\alpha}^{-1}_{\text{g-2, revised}} \approx 137.035999164(15)</math> #: which is consistent with both the theoretical value and the Monte Carlo mean. All three values also lie within the CODATA 2022 recommended range: :<math>\boldsymbol{\alpha}^{-1}_{\text{CODATA 2022}} = 137.035999177(21)</math> This note does not alter any result or claim in the original manuscript; it simply records that the theoretical prediction and its statistical refinements are numerically compatible with the most precise g-2-derived determinations of <math>\boldsymbol{\alpha}</math> currently available in the literature. === 5.8 Technical Note on the Falsifiability of the Model and Compatibility with QED/g-2 Determinations of the Fine-Structure Constant === ==== 5.8.1 Introduction and Scope ==== The model presented in the Alpha + Fano series (concept DOIs: [https://doi.org/10.5281/zenodo.19802606 10.5281/zenodo.19802606], [https://doi.org/10.5281/zenodo.19955544 10.5281/zenodo.19955544], [https://doi.org/10.5281/zenodo.20789062 10.5281/zenodo.20789062]) derives the inverse fine-structure constant from first algebraic-geometric principles, without free parameters: :<math>\boldsymbol{\alpha}^{-1} = \ln \boldsymbol{\lambda}_{\max} - \boldsymbol{\pi} = 137.0359991678</math> The theoretical framework rests on a rigorous mathematical apparatus including: * A spectral operator <math>\hat{\boldsymbol{S}}</math> defined on a Hilbert space of bounded continued fractions. * A probability distribution <math>\boldsymbol{P}(\boldsymbol{q}) \propto e^{-\boldsymbol{q}/(2\boldsymbol{E}_{\text{int}})}</math> with <math>\boldsymbol{E}_{\text{int}} = 5.0</math>. * An operational restriction to partial quotients <math>\boldsymbol{q} \in \{1, 2, \dots, 45\}</math>. * An independence axiom for each depth of the continued fraction, reflecting the tensor product structure of the Hilbert space. The purpose of this technical note is to clarify: # The meaning and scope of the restriction <math>\boldsymbol{q} \le 45</math>. # The nature of the falsifiability claim of the model. # The retrospective compatibility with the most recent experimental determinations of <math>\boldsymbol{\alpha}</math> derived from <math>g-2</math> measurements and atom interferometry. ==== 5.8.2 The Restriction q ≤ 45: Statistical Foundation and Falsifiability ==== '''Definition of the Hilbert Space:'''<br/> Let <math>\boldsymbol{H}</math> be the Hilbert space spanned by the orthonormal basis vectors <math>|{\boldsymbol{q}_1, \dots, \boldsymbol{q}_{\boldsymbol{d}}}\rangle</math>, where <math>\boldsymbol{d}</math> is the depth (in practice <math>\boldsymbol{d} = 20</math> is sufficient for numerical convergence) and the partial quotients <math>\boldsymbol{q}_i</math> are positive integers. In principle, <math>\boldsymbol{q}_i</math> may take any integer value <math>\ge 1</math>. However, the probability distribution of the ground state is: :<math>\boldsymbol{P}(\boldsymbol{q}) \propto e^{-\boldsymbol{q}/(2\boldsymbol{E}_{\text{int}})}, \quad \boldsymbol{E}_{\text{int}} = 5.0</math> For this value, the probability of observing a quotient <math>\boldsymbol{q} \ge 46</math> is: :<math>\boldsymbol{P}(\boldsymbol{q} \ge 46) = \sum_{\boldsymbol{q}=46}^{\infty} \boldsymbol{P}(\boldsymbol{q}) \approx 1.11 \times 10^{-2} \quad (\text{approximately } 1.11\%)</math> '''Empirical Basis of the Restriction:'''<br/> No historical measurement of <math>\boldsymbol{\alpha}^{-1}</math> belonging to the homogeneous CODATA 2006-2022 family has ever required a quotient exceeding 45: {| class="wikitable" style="text-align:center;" ! Year !! <math>\boldsymbol{\alpha}^{-1}</math> !! Max quotient !! <math>\boldsymbol{q} \le 45</math>? |- | 2006 || 137.035999070 || 14 || ✓ |- | 2010 || 137.035999074 || 14 || ✓ |- | 2014 || 137.035999139 || 45 || ✓ |- | 2018 || 137.035999084 || 14 || ✓ |- | 2022 || 137.035999177 || 14 || ✓ |} For reasons of computational reproducibility and statistical consistency, the quotients are therefore restricted to the set <math>\{1, 2, \dots, 45\}</math>. '''Independence Axiom:'''<br/> Each depth of the continued fraction corresponds to an independent orthogonal degree of freedom. This is not an approximation of classical continued fraction theory; it is the foundational axiom of the Hilbert space. The factorization of the probability distribution reflects the tensor product structure of <math>\boldsymbol{H}</math>. '''Falsifiability Statement:'''<br/> The restriction <math>\boldsymbol{q} \le 45</math> is FALSIFIABLE: <blockquote>A future experimental determination of <math>\boldsymbol{\alpha}^{-1}</math>, obtained with techniques of precision comparable to or exceeding those of the CODATA 2006-2022 family (large-momentum-transfer atom interferometry, single-electron trap measurements of the electron magnetic moment), which structurally and systematically required a partial quotient <math>\boldsymbol{q} > 45</math>, would invalidate the model or require a revision of the statistical cutoff.</blockquote> ==== 5.8.3 The Nature of Stochastic Fluctuations ==== '''Rare Quotients >45:'''<br/> It is important to emphasize that the probability distribution <math>\boldsymbol{P}(\boldsymbol{q}) \propto e^{-\boldsymbol{q}/(2\boldsymbol{E}_{\text{int}})}</math> PREDICTS the occasional appearance of quotients >45 in individual measurements. With a probability of approximately 1.11%, some rare events are expected in a sufficiently large statistical sample. Such events: * Are stochastic fluctuations intrinsic to the measurement process. * Represent instrumental sensitivity adjustments. * Are fully compatible with the assumed probability distribution. '''When a Quotient >45 Does NOT Constitute Falsification:'''<br/> An isolated quotient >45 in a single measurement does NOT constitute a falsification of the model, for the following reasons: # The probability distribution explicitly predicts such rare events with probability approximately 1.11%. # Individual statistical fluctuations do not alter the ensemble mean. # Measurements significantly diverging from the CODATA 2006-2022 consensus are already excluded by measurement software as statistical noise, being based on experimental techniques predating 2006 or affected by systematic uncertainties no longer considered acceptable. '''When a Quotient >45 Would Constitute Falsification:'''<br/> Falsification would occur only under one of the following conditions: # The mean of high-precision measurements (2024-2025, with reference to CODATA 2006-2022) systematically required quotients <math>\boldsymbol{q} > 45</math> in more than approximately 1% of cases. # A new measurement of comparable precision produced a value of <math>\boldsymbol{\alpha}^{-1}</math> that STRUCTURALLY REQUIRED a quotient >45 (not as an occasional fluctuation, but as a constitutive element of the representation). # The entire homogeneous CODATA 2006-2022 family were revised such that the central value required <math>\boldsymbol{q} > 45</math>. ==== 5.8.4 Retrospective Compatibility with QED/g-2 Determinations (2024-2025) ==== '''Numerical Comparison:'''<br/> The theoretical value derived from the model is: :<math>\boldsymbol{\alpha}^{-1}_{\text{theory}} = 137.035999167852</math> Monte Carlo analysis of the ground state produces a distribution with: :<math>\langle \hat{\boldsymbol{S}} \rangle = 137.035999167852, \quad \boldsymbol{S}_{\min} = 137.035999122116, \quad \boldsymbol{S}_{\max} = 137.035999179475</math> These values are comparable with three independent experimental determinations: {| class="wikitable" style="text-align:center;" ! Source !! <math>\boldsymbol{\alpha}^{-1}</math> !! Uncertainty / Note |- | Theory Mean (<math>\langle \hat{\boldsymbol{S}} \rangle</math>) || 137.035999167852 || Ergodic ensemble center |- | Theory Bounded Minimum (<math>\boldsymbol{S}_{\min}</math>) || 137.035999122116 || Ground state lower bound |- | Theory Bounded Ceiling (<math>\boldsymbol{S}_{\max}</math>) || 137.035999179475 || Ground state upper saturation |- | Revised g-2 (2024-2025) || 137.035999164 || ±15 (last digit) |- | CODATA 2022 || 137.035999177 || ±21 (last digit) |- | Rubidium (Nature 2020) || 137.035999206 || ±11 (last digit) |} '''Analysis of Differences:''' {| class="wikitable" style="text-align:center;" ! Comparison !! Difference !! Significance |- | Theory Mean vs Revised g-2 2025 || <math>3.85 \times 10^{-9}</math> || Within 0.26σ |- | Theory Mean vs CODATA 2022 || <math>9.15 \times 10^{-9}</math> || Within 0.44σ |- | Theory Mean vs Rubidium 2020 || <math>3.81 \times 10^{-8}</math> || Within 3.47σ |} All differences are well within <math>1\sigma</math> for the two most recent primary determinations. '''Significance of the Agreement:'''<br/> The agreement with the 2024-2025 g-2 determination is particularly significant because: # QED theory of the anomalous magnetic moment is INDEPENDENT of atomic structure. # The g-2 measurement was published AFTER the formulation of the model. # The agreement is at the level of <math>10^{-9}</math>, i.e., ONE PART IN <math>10^{11}</math>. This constitutes an unanticipated retrospective test that the model successfully passes. ==== 5.8.5 Conclusions ==== # The restriction <math>\boldsymbol{q} \le 45</math> is FALSIFIABLE and applies EXCLUSIVELY to the homogeneous family of CODATA 2006-2022 measurements. # Individual stochastic fluctuations with quotients >45 are PREDICTED by the probability distribution with integrated probability approximately 1.11% and do NOT constitute falsification. # Numerical verification confirms that <math>[137.035999122116, 137.035999179475]</math> defines the exact bounded operational domain for <math>q \le 45</math>, with ergodic ensemble mean <math>\langle \hat{\boldsymbol{S}} \rangle = 137.035999167852</math>. # The model is COMPATIBLE with the most recent experimental determinations of <math>\boldsymbol{\alpha}</math>: #* Revised g-2 2024-2025: within 0.26σ #* CODATA 2022: within 0.44σ #* Rubidium 2020: within 3.47σ # Falsification would REQUIRE a systematic and structural deviation of the homogeneous family of high-precision measurements, not rare statistical events. # Measurements predating 2006 are NOT BINDING for falsifiability, being based on superseded experimental techniques and affected by significantly larger systematic uncertainties. == 6. Summary & References == This resource presents an exploratory framework linking: # The closed-form expansion of <math>\boldsymbol{\alpha}^{-1}</math> via <math>\boldsymbol{A}(\boldsymbol{\pi})</math> and the cubic curvature invariant <math>\boldsymbol{A}'''(\boldsymbol{\pi}) = 24</math>. # The weak Euler-Lagrange solution of the geometric Lagrangian <math>\boldsymbol{\mathcal{L}}_{\text{geo}}</math> and its Polyakov string duality at <math>\boldsymbol{R} = \boldsymbol{\pi}</math>. # The discrete projective incidence of PG(2,2) governed by the characteristic polynomial <math>\boldsymbol{\chi}_{\boldsymbol{X}}(\boldsymbol{x}) = \boldsymbol{x}^4 - 30\boldsymbol{x}^2 + 1</math>. # The dimension constraint <math>\boldsymbol{D} = 45</math> analyzed via gauge anomaly constraints and Fano 3-fold cohomologies. # The computational verification of the hydrogen ground state properties from the circular Matrix Product State. == Knowledge Graph & Ontological Linking == This Wikiversity resource is linked to a dedicated '''Wikibase Triple Store''' ([https://blandino-research.wikibase.cloud blandino-research.wikibase.cloud]), which serves as the canonical open-data repository for the underlying research network. === Primary Graph Nodes & Immersive Series Registry === <div style="margin: 10px 0; padding: 10px; background: #f8fafc; border: 1px solid #0284c7; border-radius: 8px; font-family: sans-serif;"> <strong style="color: #0284c7; font-size: 105%; display: block; margin-bottom: 8px;">🌐 Root Research Entity:</strong> <div style="margin-left: 10px;"> * '''Root Project:''' <span style="background: #ef4444; color: white; padding: 2px 7px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q3 Q3]</span> &bull; ''First-Principles Derivation of the Fine-Structure Constant'' </div> <strong style="color: #0f172a; font-size: 105%; display: block; margin: 12px 0 8px 0;">📚 Immersive Algebra Series (Scholarly Papers, Verification Suites & DOIs):</strong> <div style="margin-left: 10px; line-height: 1.8;"> <!-- Q18 & Q25 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q18 Q18]</span> '''Jordan-Clifford Bridge:''' ''From Exceptional Jordan Geometry to Clifford Algebra'' &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q25 Q25]</span> &bull; [https://doi.org/10.5281/zenodo.21521012 DOI: 10.5281/zenodo.21521012] </div> <!-- Q20 & Q26 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q20 Q20]</span> '''NCG Lorentzian Signature:''' ''Resolving Lorentzian Signature in NCG'' &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q26 Q26]</span> &bull; [https://doi.org/10.5281/zenodo.21626207 DOI: 10.5281/zenodo.21626207] </div> <!-- Q22 & Q27 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q22 Q22]</span> '''LQG Time Emergence:''' ''Hamilton-Jacobi Flow and Frozen Time Resolution'' &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q27 Q27]</span> &bull; [https://doi.org/10.5281/zenodo.21948710 DOI: 10.5281/zenodo.21948710] </div> <!-- Q23 & Q28 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q23 Q23]</span> '''Dissipative Quantum Measurement:''' ''Measurement Resolution on Fano Geometry'' &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q28 Q28]</span> &bull; [https://doi.org/10.5281/zenodo.21752808 DOI: 10.5281/zenodo.21752808] </div> <!-- Q24 & Q29, Q30 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q24 Q24]</span> '''Hydrogen 1s Orbital & Alpha Test:''' ''Positional Collapse & Alpha Verification'' &bull; Suites: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q29 Q29]</span>, <span style="background: #f3e8ff; color: #7e22ce; padding: 1px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q30 Q30]</span> &bull; [https://doi.org/10.5281/zenodo.21814909 DOI: 10.5281/zenodo.21814909] </div> <!-- Q31 & Q32 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q31 Q31]</span> '''AQFT Superselection Sectors:''' ''Fano Sectors and Electron Charge Origin'' &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q32 Q32]</span> &bull; [https://doi.org/10.5281/zenodo.22432165 DOI: 10.5281/zenodo.22432165] </div> <!-- Q33 & Q34 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q33 Q33]</span> '''Singh Torsion Gravity Bridge:''' ''Fano 2-22 Tessellation and Planck Curvature'' &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q34 Q34]</span> &bull; [https://doi.org/10.5281/zenodo.21250894 DOI: 10.5281/zenodo.21250894] </div> <!-- Q35 & Q36 --> <div style="margin-bottom: 6px;"> <span style="background: #e0f2fe; color: #0369a1; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q35 Q35]</span> '''TEC-Weil RH Refinement:''' ''Spectral Rigidity & Sobolev Norm Bounds for Riemann Zeta'' &bull; Suite: <span style="background: #f3e8ff; color: #7e22ce; padding: 2px 6px; border-radius: 4px; font-weight: bold; font-family: monospace;">[https://blandino-research.wikibase.cloud/wiki/Item:Q36 Q36]</span> &bull; [https://doi.org/10.5281/zenodo.22017090 DOI: 10.5281/zenodo.22017090] </div> </div> </div> === SPARQL Live Queries & Machine-Readable Interfaces === Researchers, web crawlers, and automated semantic agents can query the structural relations, DOIs, and verification code dependencies directly via the following live SPARQL query interfaces: * '''[https://blandino-research.wikibase.cloud/query/#PREFIX%20br%3A%20%3Chttps%3A%2F%2Fblandino-research.wikibase.cloud%2Fentity%2F%3E%0APREFIX%20brt%3A%20%3Chttps%3A%2F%2Fblandino-research.wikibase.cloud%2Fprop%2Fdirect%2F%3E%0A%0ASELECT%20%3Fsubject%20%3FsubjectLabel%20%3Fpredicate%20%3Fobject%20%3FobjectLabel%20WHERE%20%7B%0A%20%20%3Fsubject%20%3Fpredicate%20%3Fobject%20.%0A%20%20SERVICE%20wikibase%3Alabel%20%7B%20bd%3AserviceParam%20wikibase%3Alanguage%20%22%5BAUTO_LANGUAGE%5D%2Cen%2Cit%22%20.%20%7D%0A%7D%0ALIMIT%20100 Live SPARQL Query: Full Micro-Node Graph Exploration (Q1–Q72)]''' — Dynamic table query extracting all 72 indexed nodes, operational properties (P1–P12), and verification suite relationships. * '''[https://blandino-research.wikibase.cloud/query/#%23defaultView%3AGraph%0ASELECT%20%3Fsource%20%3FsourceLabel%20%3Ftarget%20%3FtargetLabel%20%3FedgeLabel%20WHERE%20%7B%0A%20%20%3Fsource%20%3FdirectPred%20%3Ftarget%20.%0A%20%20FILTER%28isIRI%28%3Ftarget%29%29%0A%20%20%3Fproperty%20wikibase%3AdirectClaim%20%3FdirectPred%20.%0A%20%20SERVICE%20wikibase%3Alabel%20%7B%20bd%3AserviceParam%20wikibase%3Alanguage%20%22%5BAUTO_LANGUAGE%5D%2Cen%2Cit%22%20.%20%7D%0A%7D%0ALIMIT%20200 Interactive 2D Knowledge Graph Visualizer]''' — Topological 2D network rendering of cluster dependencies and structural factorizations (No login required). * '''[https://blandino-research.wikibase.cloud/query/#PREFIX%20br%3A%20%3Chttps%3A%2F%2Fblandino-research.wikibase.cloud%2Fentity%2F%3E%0APREFIX%20brt%3A%20%3Chttps%3A%2F%2Fblandino-research.wikibase.cloud%2Fprop%2Fdirect%2F%3E%0A%0ASELECT%20%3Fitem%20%3FitemLabel%20%3FexternalURI%20WHERE%20%7B%0A%20%20%3Fitem%20%3Fp%20%3FexternalURI%20.%0A%20%20FILTER%28isIRI%28%3FexternalURI%29%20%26%26%20!contains%28str%28%3FexternalURI%29%2C%20%22wikibase.cloud%22%29%29%0A%20%20SERVICE%20wikibase%3Alabel%20%7B%20bd%3AserviceParam%20wikibase%3Alanguage%20%22%5BAUTO_LANGUAGE%5D%2Cen%2Cit%22%20.%20%7D%0A%7D%0ALIMIT%20100 Live SPARQL Query: Linked Open Data & External DOI Cross-Mappings]''' — Direct query mapping internal nodes (Q3–Q36) to external Zenodo DOIs, FAIRsharing Record 8936, and Wikidata URIs. * '''[https://blandino-research.wikibase.cloud/query/sparql Direct REST API Endpoint (RDF/JSON-LD)]''' — Standardized FAIR-compliant REST interface for automated triple extraction and federated queries. * '''[https://openalex.org/W7213638887 OpenAlex Academic Graph Record (W7213638887)]''' — Official indexing record of the Blandino Research Knowledge Graph (BR-KG) in the global OpenAlex Academic Graph. * '''[https://blandino-research.wikibase.cloud/wiki/Item:Q269 Topological-Quantum Engine GIF Node (Q269)]''' — Live execution artifact mapping the Z24 Monodromy Clock and Polyakov String oscillation directly to Wikimedia Commons media repository. === Ontological Taxonomy & Core Domain Mapping === The following table formalizes the domain classification and ontological hierarchy governing the Knowledge Graph, mapping local theoretical constructs to their persistent identifiers in the global Web of Data (Wikidata LOD). {| class="wikitable sortable" style="width: 100%; margin: 10px 0;" ! Primary Category !! Subcategory / Graph Domain !! Description & Operational Scope !! style="text-align:center;" | Wikidata Alignment (LOD) |- | '''Algebraic Geometry''' || Fano 3-Folds, GRDB & Moduli || Fano threefolds (V22 family, Mori-Mukai ID-69), Graded Ring Database (GRDB) tools, period integrals, and Picard-Fuchs operators. || style="text-align:center;" | [[d:Q5528082|wd:Q5528082]] (Gavin Brown) / [[d:Q62067853|wd:Q62067853]] (A. Kasprzyk) |- | '''Algebraic Geometry''' || Hodge Theory & Cohomology || De Rham cohomology classes, period matrices, and monodromy period reductions on compact manifolds. || style="text-align:center;" | [[d:Q1317202|wd:Q1317202]] (Hodge theory) |- | '''Differential Geometry''' || Manifold Theory & Topology || Topographic manifolds, Riemannian structures, and smooth differential space models. || style="text-align:center;" | [[d:Q10380344|wd:Q10380344]] (Manifold theory) |- | '''Nonassociative Algebra''' || Jordan & Fano Plane Geometry || Exceptional Jordan algebra J3(O) (Albert algebra), PG(2,2) Fano plane incidence geometry, and Heawood dual graph structures. || style="text-align:center;" | [[d:Q649977|wd:Q649977]] (Jordan algebra) <br> [[d:Q1395814|wd:Q1395814]] (Fano plane) <br> [[d:Q3046737|wd:Q3046737]] (Heawood graph) |- | '''Associative Algebra''' || Clifford Algebras & Dirac Operators || Spacetime Clifford algebra Cl(3,1), Dirac gamma structures, and cubic Dirac operator representations. || style="text-align:center;" | [[d:Q674689|wd:Q674689]] (Clifford algebra) <br> [[d:Q907439|wd:Q907439]] (Dirac operator) |- | '''Functional Analysis''' || Hilbert Spaces & Quantum State Vectors || Infinite-dimensional complex Hilbert spaces, inner product spaces, and quantum mechanical state vectors. || style="text-align:center;" | [[d:Q190056|wd:Q190056]] (Hilbert space) |- | '''Quantum Field Theory''' || Polyakov Action, Path Integrals & Covariant QFT || Non-perturbative QED field kernels, Polyakov string action, Feynman path integral formulations, Schwinger-Tomonaga formalism, and AQFT superselection sectors. || style="text-align:center;" | [[d:Q1048763|wd:Q1048763]] (Polyakov action) <br> [[d:Q39246|wd:Q39246]] (R. Feynman) <br> [[d:Q184563|wd:Q184563]] (S. Tomonaga) |- | '''Lattice Theory & String Geometry''' || Leech Lattice & Even Unimodular Lattices || 24-dimensional even unimodular Leech lattice $\Lambda_{24}$, sphere packing bounds, and Monster group symmetry embeddings. || style="text-align:center;" | [[d:Q2510203|wd:Q2510203]] (Leech lattice) |- | '''Condensed Matter Physics''' || Tensor Networks & Many-Body Systems || Condensed matter states, Matrix Product States (MPS), circular transfer matrices, and bond dimension limits (D=45). || style="text-align:center;" | [[d:Q123146520|wd:Q123146520]] (Condensed Matter Physics) |- | '''Graph Theory & Limits''' || Graphons & Continuous Limits || Quantum graphon cut-norm convergence, graph limits, and dense graph sequence bounds. || style="text-align:center;" | [[d:Q131873270|wd:Q131873270]] (Graph theory) |- | '''Analytic Number Theory''' || Spectral Invariants & Zeta Function || Confinement of non-trivial zeros via TEC-Weil trace equivalence and continued fraction bounds (K). || style="text-align:center;" | [[d:Q187235|wd:Q187235]] (Riemann zeta function) |- | '''Fundamental Physics''' || Physical Constants & Coupling || Fundamental physical constants, fine-structure constant (alpha), and CODATA recommended bounds. || style="text-align:center;" | [[d:Q27928586|wd:Q27928586]] (Fundamental physical constant) <br> [[d:Q735279|wd:Q735279]] (CODATA) |- | '''Mathematical Governance & Literature''' || Institutional Foundations & Monographs || Clay Millennium problems context, AMS educational monographs, academic publishing standards (CUP), and open research publishing. || style="text-align:center;" | [[d:Q857975|wd:Q857975]] (Clay Math Institute) <br> [[d:Q912887|wd:Q912887]] (Cambridge Univ. Press) <br> [[d:Q53952481|wd:Q53952481]] (Student Math Library) |- | '''Infrastructure & Compute''' || Repositories, FAIR Standards & High-Precision Symbolic Computation || Scientific repositories (Zenodo, arXiv, Google Scholar), cloud/software foundations (Python Software Foundation, Google Colab), arbitrary-precision floating-point arithmetic (mpmath), and WikiProject Mathematics integration. || style="text-align:center;" | [[d:Q22661177|wd:Q22661177]] (Zenodo) <br> [[d:Q118398|wd:Q118398]] (arXiv) <br> [[d:Q494817|wd:Q494817]] (Google Scholar) <br> [[d:Q83818|wd:Q83818]] (PSF) <br> [[d:Q107381029|wd:Q107381029]] (mpmath) <br> [[d:Q126084995|wd:Q126084995]] (Google Colab) <br> [[d:Q8487137|wd:Q8487137]] (WikiProject Math) |} === References & Bibliography === <references> <ref name="codata2022">'''[[w:en:CODATA|CODATA]] (2022):''' ''CODATA Recommended Values of the Fundamental Physical Constants: 2022'', [https://doi.org/10.1103/RevModPhys.96.045004 DOI: 10.1103/RevModPhys.96.045004].</ref> <ref name="nature2010">'''[[w:en:Nature Physics|Nature Physics]] (2010):''' Editorial, [https://www.nature.com/articles/nphys1514 "The fine-structure constant: a numerical coincidence?"], ''Nature Physics'', 6, 1, [https://doi.org/10.1038/nphys1514 DOI: 10.1038/nphys1514].</ref> <ref name="Sardin2025">'''Sardin, G. (2025):''' "Primordial Physical Origin of the Fine-Structure Constant, and some of its Applications," ''International Journal of Physics'', 13(3), 55-61, [https://doi.org/10.12691/ijp-13-3-2 DOI: 10.12691/ijp-13-3-2].</ref> <ref name="polyakov1981">'''[[w:en:Alexander Markovich Polyakov|Polyakov, A. M.]] (1981):''' "Quantum geometry of bosonic strings," ''Physics Letters B'', 103(3), 207-210, [https://doi.org/10.1016/0370-2693(81)90743-7 DOI: 10.1016/0370-2693(81)90743-7].</ref> <ref name="polchinski1998">'''[[w:en:Joseph Polchinski|Polchinski, J.]] (1998):''' ''String Theory, Vol. 1: An Introduction to the Bosonic String'', [[w:en:Cambridge University Press|Cambridge University Press]], [https://doi.org/10.1017/CBO9780511816079 DOI: 10.1017/CBO9780511816079].</ref> <ref name="chsh1969">'''[[w:en:John Clauser|Clauser, J. F.]], Horne, M. A., [[w:en:Abner Shimony|Shimony, A.]], & Holt, R. A. (1969):''' "Proposed experiment to test local hidden-variable theories," ''Physical Review Letters'', 23(15), 880, [https://doi.org/10.1103/PhysRevLett.23.880 DOI: 10.1103/PhysRevLett.23.880].</ref> <ref name="cirelson1980">'''[[w:en:Boris Cirelson|Cirel'son, B. S.]] (1980):''' "Quantum generalizations of Bell's inequality," ''Letters in Mathematical Physics'', 4(2), 93-100, [https://doi.org/10.1007/BF00417500 DOI: 10.1007/BF00417500].</ref> <ref name="verstraete2004">'''[[w:en:Frank Verstraete|Verstraete, F.]], & [[w:en:Juan Ignacio Cirac Sasturain|Cirac, J. I.]] (2004):''' "Matrix product states for quantum simulation," ''Physical Review A'', 70(6), 062324, [https://doi.org/10.1103/PhysRevA.70.062324 DOI: 10.1103/PhysRevA.70.062324].</ref> <ref name="regge1961">'''[[w:en:Tullio Regge|Regge, T.]] (1961):''' "General relativity without coordinates," ''Nuovo Cimento'', 19, 558–571, [https://doi.org/10.1007/BF02733251 DOI: 10.1007/BF02733251].</ref> <ref name="cheeger1984">'''[[w:en:Jeff Cheeger|Cheeger, J.]], [[w:en:Werner Müller (mathematician)|Müller, W.]], & Schrader, R. (1984):''' "On the curvature of piecewise linear spaces," ''Communications in Mathematical Physics'', 92(3), 405--454, [https://doi.org/10.1007/BF01210729 DOI: 10.1007/BF01210729].</ref> <ref name="bhargava2004cubic">'''[[w:en:Manjul Bhargava|Bhargava, M.]] (2004):''' "Higher composition laws II: On cubic rings and resolution rings," ''Annals of Mathematics'', 159(2), 865-886, [https://doi.org/10.4007/annals.2004.159.865 DOI: 10.4007/annals.2004.159.865].</ref> <ref name="bhargava2004quartic">'''[[w:en:Manjul Bhargava|Bhargava, M.]] (2004):''' "Higher composition laws III: The parametrization of quartic rings," ''Annals of Mathematics'', 159(3), 1329-1360, [https://doi.org/10.4007/annals.2004.159.1329 DOI: 10.4007/annals.2004.159.1329].</ref> <ref name="brouwer2012">'''[[w:en:Andries Brouwer|Brouwer, A. E.]], & Haemers, W. H. (2012):''' [[d:Q105612081|''Spectra of Graphs'']], [[w:en:Springer Science+Business Media|Springer]], [https://doi.org/10.1007/978-1-4614-1939-6 DOI: 10.1007/978-1-4614-1939-6].</ref> <ref name="coates2013">'''Coates, T., Corti, A., Galkin, S., & [[d:Q62067853|Kasprzyk, A.]] (2013):''' "Quantum periods for 3-dimensional Fano manifolds," [[w:en:arXiv|arXiv]]:1310.7932, [https://doi.org/10.48550/arXiv.1310.7932 DOI: 10.48550/arXiv.1310.7932].</ref> <ref name="iskovskikh1977">'''[[w:en:Vasily Iskovskikh|Iskovskikh, V. A.]] (1977):''' "Fano 3-folds. I," ''Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya'', 41(3), 516--562, [https://doi.org/10.1070/IM1977v011n03ABEH001733 DOI: 10.1070/IM1977v011n03ABEH001733].</ref> <ref name="golyshev2007">'''Golyshev, V. V. (2007):''' "Classification of Fano 3-folds, Fricke identities, and periods," ''Izvestiya: Mathematics'', 71(5), 883--933, [https://doi.org/10.1070/IM2007v071n05ABEH002379 DOI: 10.1070/IM2007v071n05ABEH002379].</ref> <ref name="mori1981">'''[[w:en:Shigefumi Mori|Mori, S.]], & [[w:en:Shigeru Mukai|Mukai, S.]] (1981):''' "Classification of Fano 3-folds with <math>B_2 \ge 2</math>," ''Manuscripta Mathematica'', 36(2), 147-162, [https://doi.org/10.1007/BF01170131 DOI: 10.1007/BF01170131].</ref> <ref name="lovasz2006">'''[[w:en:László Lovász|Lovász, L.]], & Szegedy, B. (2006):''' "Limits of dense graph sequences," ''Journal of Combinatorial Theory, Series B'', 96(6), 933–957, [https://doi.org/10.1016/j.jctb.2006.05.002 DOI: 10.1016/j.jctb.2006.05.002].</ref> <ref name="borgs2008convergent">'''Borgs, C., [[w:en:Jennifer Tour Chayes|Chayes, J. T.]], [[w:en:László Lovász|Lovász, L.]], Sós, V. T., & Vesztergombi, K. (2008):''' "Convergent sequences of dense graphs I," ''Geometric and Functional Analysis'', 18(6), 1801--1951, [https://doi.org/10.1007/s00039-008-0695-x DOI: 10.1007/s00039-008-0695-x].</ref> <ref name="lovasz2012large">'''[[w:en:László Lovász|Lovász, L.]] (2012):''' ''Large Networks and Graph Limits'', American Mathematical Society, [https://doi.org/10.1090/coll/060 DOI: 10.1090/coll/060].</ref> <ref name="saniga2008snowflake">'''Saniga, M., Havlicek, H., Planat, M., & Pracna, P. (2008):''' "Twin "Fano-Snowflakes" over the smallest ring of ternions," ''SIGMA'', 4, 050, [https://doi.org/10.3842/SIGMA.2008.050 DOI: 10.3842/SIGMA.2008.050].</ref> <ref name="aps1975">'''[[w:en:Michael Atiyah|Atiyah, M. F.]], Patodi, V. K., & [[w:en:Isadore Singer|Singer, I. M.]] (1975):''' "Spectral asymmetry and Riemannian Geometry. I," ''Mathematical Proceedings of the Cambridge Philosophical Society'', 77(1), 43-69, [https://doi.org/10.1017/S0305004100049410 DOI: 10.1017/S0305004100049410].</ref> <ref name="kostant1999">'''[[w:en:Bertram Kostant|Kostant, B.]] (1999):''' "A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups," ''Duke Mathematical Journal'', 100(3), 447-501, [https://doi.org/10.1215/S0012-7094-99-10016-0 DOI: 10.1215/S0012-7094-99-10016-0].</ref> <ref name="voisin2002">'''[[w:en:Claire Voisin|Voisin, C.]] (2002):''' [[d:Q56288659|''Hodge Theory and Complex Algebraic Geometry I'']], [[w:en:Cambridge University Press|Cambridge University Press]], [https://doi.org/10.1017/CBO9780511615344 DOI: 10.1017/CBO9780511615344].</ref> <ref name="blandino2026alpha">'''[https://orcid.org/0009-0006-3252-4011 Blandino, M.] (2026a):''' ''The Lagrangian Duality of the Fine-Structure Constant (Alpha Series)'', [[w:en:Zenodo|Zenodo]], Concept DOI: [https://doi.org/10.5281/zenodo.19802606 10.5281/zenodo.19802606].</ref> <ref name="blandino2026fano">'''[https://orcid.org/0009-0006-3252-4011 Blandino, M.] (2026b):''' ''The Fano 3-fold 2-22 as the Underlying Structure of the Unified PEPS-5D Lagrangian (EM+QG)'', [[w:en:Zenodo|Zenodo]], Concept DOI: [https://doi.org/10.5281/zenodo.19955544 10.5281/zenodo.19955544]. * '''[https://orcid.org/0009-0006-3252-4011 Blandino, M.] (2026c):''' ''Alpha Series & Fano Series (v2.0.0)'', [[w:en:Zenodo|Zenodo]], DOI: [https://doi.org/10.5281/zenodo.20635062 10.5281/zenodo.20635062].</ref> </references> [[Category:Research projects]] [[Category:Mathematical physics]] [[Category:Condensed matter physics]] [[Category:String theory]] [[Category:Quantum mechanics]] [[Category:Algebraic geometry]] <div style="display: none;"> <script type="application/ld+json"> { "@context": "https://schema.org", "@graph": [ { "@type": "Person", "@id": "https://blandino-research.wikibase.cloud/entity/Q1", "name": 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Teenagers driving dangerously]] ;Scenario It is Friday night, and 16-year-old Mia is out with a group of friends. Someone suggests taking her family car for a late-night drive. Mia knows she does not have permission to drive, and knows that driving without a licence and with multiple people in the car could be dangerous. For a moment, she considers saying no. Her friends are excited, encouraging her, making the idea of doing something spontaneous and slightly dangerous feel thrilling. The idea of consequences seems distant and Mia eventually agrees to take the car. {{RoundBoxBottom}} [[Adolescence]] is a developmental period characterised by increased [https://www.sciencedirect.com/topics/immunology-and-microbiology/sensation-seeking sensation-seeking] and risk-taking behaviours (Duell et al., 2018; Steinberg, 2007). Young people may be more likely to engage in behaviours that provide immediate rewards, such as experimenting with substances, risky driving (see figure 1), or seeking social approval, despite potential long-term consequences. Understanding why these behaviours increase during adolescence matters because risk-taking can contribute to negative health, social, and educational outcomes, while some exploration and novelty-seeking are also a normal part of development. One influential explanation is Steinberg's [https://pmc.ncbi.nlm.nih.gov/articles/PMC2396566/ Dual Systems Model], which proposes that adolescent risk-taking results from the interaction between a rapidly developing socioemotional reward system and a more gradually developing cognitive-control system (Steinberg, 2008). Similarly, the Maturational Imbalance Model suggests that reward-related regions become increasingly sensitive during adolescence before the brain systems responsible for regulating impulses and considering future consequences are fully mature (Casey et al., 2008). These theories suggest that adolescents do not lack self-control; rather, their developing reward and control systems can make immediate rewards particularly difficult to resist. Behavioural research indicates that sensation-seeking increases during adolescence, while impulse control develops more gradually (Steinberg et al., 2008). Other research has also shown that peers can increase adolescents' reward-related brain activity and risk-taking, highlighting the importance of social context (Chein et al., 2011). [[Psychological science]] therefore helps explain adolescent risk-taking by examining how reward sensitivity, cognitive control, impulsivity and social influences interact during brain development. Combining developmental theories with behavioural and neuroscience research provides a psychological understanding of why adolescents may be particularly sensitive to rewarding experiences and how this can influence risky behaviours. {{RoundBoxTop|theme=4}} '''💡 Focus Questions''' * How does the reward-circuit maturation change the way adolescents respond to rewarding experiences? * How does increased reward sensitivity influence sensation-seeking? * How does the interaction between reward sensitivity and developing cognitive control influence risky behaviour? * How do social and environmental factors affect adolescents' reward processing and risk-taking behaviours? * When can sensation-seeking support positive development, and what factors increase the likelihood of harmful risk-taking? * How well do psychological theories and research explain the relationship between reward-system development and adolescent risk-taking? {{RoundBoxBottom}} ==Adolescent risk-taking: the developmental problem == {{expand}} === What is adolescent risk-taking? === Adolescent risk-taking refers to behaviour where there is some uncertainty regarding the possible outcome and the potential costs/rewards associated with an individual's physical, economic or psychological well-being (Trimpop, 2008). Adolescence, which is usually defined as the age of 10-19 years, represents a distinct developmental phase due to the extensive biological, psychological, and neurological changes occurring within an individual during this time (World Health Organisation, 2026). The alterations in an individual's brain sensitivity and responsiveness during adolescence can impact how they evaluate emotional responses to reward-related stimuli and the evaluation of the potential consequences of their actions (Jaworska & MacQueen, 2015). Steinberg's Dual Systems Model explains that adolescent risk-taking results from the interaction of a developing socio-emotional system and a cognitive control system. As such, it is believed that adolescents are likely to be especially motivated to seek out exciting or immediately rewarding experiences, even if these experiences pose risks. For example, going on risky hikes would thrill adolescents and could pose as an opportunity for them to show off their bravery (see Figure 2). Risk-taking is not necessarily negative; it can facilitate the formation of identity, independence, exploration, and the acquisition of real-world decision-making abilities. [[File:Gseng cliff 20200622.jpg|thumb|'''Figure 2'''. It would be incredibly risky to stand on the edge of this cliff]] Therefore, understanding adolescent risk-taking is important so that parents, educators, and other professionals working with adolescents have the knowledge necessary to assist adolescents in pursuing constructive opportunities and reducing their exposure to behaviours that could cause harm. In Australia, adolescent well-being is also a major concern, with recent claims of increasing rates of suicidal ideation and attempts among adolescents, suggesting the need for evidence-based approaches to providing support to adolescents {{f}}. Suicidal ideation and attempts are not equivalent to risk-taking and the relationship between them needs further investigation. Ultimately, an understanding of the developmental processes involved in risk-taking will enable us to develop healthier outcomes for adolescents while recognising adolescence as a period of both vulnerability and opportunity. === Why does reward matter? === Adolescence is a time of rapid developmental change in reward processing and emotional reactivity that makes rewarding, pleasurable, and socially-relevant experiences extremely attractive to adolescents (Spear, 2011). Sensitivity to reward refers to the degree to which an individual will respond to positive outcomes. Increased sensitivity to reward can contribute to risky decision-making when the short-term benefits of a behaviour, {{g}} outweigh the potential long-term costs. Research conducted by Chein et al., (2011) demonstrated that adolescents took larger risks during a simulated driving task while their peers were observing them, and also had increased activity in brain areas associated with reward. Similarly, O'Brien et al., (2011) examined how social cues affected reward preferences in late adolescents aged 18-20 years, and found that social observation significantly impacted preferred rewards for immediate gratification. These findings collectively support the idea that reward sensitivity interacts with social influences to determine adolescent decision-making. If adolescents perceive immediate rewards to be more appealing than delayed ones, they are likely to engage in behaviours that provide them with a quick thrill without regard to the possible negative outcomes. The fact that adolescents are capable of evaluating the potential consequences of their actions is evident {{f}}, however, the extent to which immediate rewards affects adolescent decision-making, varies based upon the individual and the circumstances {{f}}. Therefore, understanding how reward sensitivity interacts with sensation-seeking, impulsivity and social context represents a critical component of understanding adolescent risk-taking behaviour. == The adolescent brain and reward-circuit development == {{expand}} === Development of the adolescent brain === Adolescents experience substantial neural maturation during adolescence, especially with respect to those areas of the brain that regulate emotions, make decisions, and control impulses {{f}}. The prefrontal cortex, which aids adolescents in thinking ahead, inhibits impulses and weighs the implications of their actions, will continue to mature until they reach adulthood (Casey et al., 2008). Additionally, maturation of the reward and emotional systems may contribute to adolescents' pursuit of instant gratification {{f}}. According to the Dual Systems Model, because the reward and emotional systems are developing at different rates than the prefrontal cortex, adolescents may be more inclined to pursue rewards without considering the potential negative effects on their future {{f}}. === Reward-circuit maturation === The brains {{g}} reward system is composed of several areas, including the ventral striatum which helps to create and process rewards. The brains {{g}} ability to anticipate rewards, learn new behaviours to obtain them and motivate us to seek out those rewards, are all influenced by dopamine {{f}}. Adolescents have developmentally immature reward systems that allow them to find novel, exciting and immediate rewards more appealing than adults {{f}}. Crone and Dahl (2016) point out that being able to respond to rewards can be beneficial for adolescents in developing their exploratory skills, learning abilities, and social skills. Thus, while there is evidence {{f}} that maturation of the reward system contributes to risk-taking, the effect will depend upon the interaction between an individuals level of reward sensitivity, their ability to regulate their behaviour through cognitive controls and the environment they live in. === What does the research show? === Neuroimaging studies {{f}} provide evidence that adolescents can show heightened responses to rewarding and emotionally significant cues. For example, Sommerville et al. (2010) examined {{how}} developmental changes in response to appetitive and emotionally significant stimuli, highlighting how sensitivity to these cues can influence behaviour during adolescence {{vague}}. The results of their study indicate that adolescents' reactions to rewarding experiences can be very motivational at this stage of neural maturation. However, their reactions will depend upon the specific type of reward and the context in which it occurs. In general, this research provides a theoretical basis for why the maturation rates of reward sensitivity and behavioural control appear to differ among adolescents, which may help to explain some of the risk-taking behaviours observed in adolescence. <quiz display=simple> {Which brain region is most closely associated with reward processing during adolescence? |type="()"} + ventral striatum - cerebellum - medulla - occipital cortex </quiz> <quiz display=simple> {What role does dopamine play in adolescent reward processing? |type="()"} - It is responsible exclusively for cognitive control. - It prevents adolescents from responding to rewards. + It contributes to motivation and sensitivity to rewarding experiences -It eliminates sensation-seeking. </quiz> == Reward sensitivity, sensation-seeking and impulsivity == {{expand}} === Reward sensitivity and adolescent sensation-seeking === Sensation-seeking describes individuals' tendencies to seek out new, stimulating and exciting experiences. Impulsivity is characterised by an individuals' inability to consider the potential consequences of their actions before taking action. Adolescent development includes neurological changes in how we process rewards which may contribute to the increased appeal of novel and immediately rewarding experiences {{f}}. Dopamine is a neurotransmitter that has been linked to motivation, reward learning and predicting rewards {{f}}. As such, adolescent developmental changes in reward-based neural circuitry can affect adolescents' behaviour (Galvan, 2010). Steinberg et al., (2008) discovered that sensation-seeking and impulsivity develop at different rates. This suggests that while adolescents may have a desire for exciting experiences, this doesn't mean that they will struggle with self-control. Crone & Dahl (2016) further state that an increased sensitivity to both social and rewarding experiences may facilitate exploratory behaviours, learning and flexible goal setting. Therefore, sensation-seeking is not necessarily bad; the impacts will depend upon the type of experiences adolescents choose to participate in and the environments in which adolescents make these choices. === Reward, cognitive-control and impulsive behaviour === Reward sensitivity develops during adolescence and is associated with the emergence of risk-taking behaviours (Steinberg, 2008). In addition, cognitive-control processes develop as adolescents age and these processes have been found to influence how they make decisions. According to Steinberg's Dual Systems Model {{f}}, adolescent risk-taking can emerge from the interaction between a developing socioemotional system, which increases sensitivity to rewarding experiences, and a cognitive-control system that develops more slowly. A similar idea has been proposed as the Maturational Imbalance Model (Casey et al., 2008) This model suggests that differences in the development of reward-related processes and cognitive-control may increase vulnerability to impulsive behaviour. Both models provide insight into why immediate rewards may at times outweigh consideration of long-term consequences, especially when adolescents are experiencing high levels of emotional stimulation. === Social context and risk-taking === Evidence from real-world driving is consistent with the idea that peers amplify the reward value of risky choices. In a naturalistic study that monitored novice teenage drivers {{where}}, risky driving was lower when an adult was in the car and higher among teens who reported having more risk-taking friends (Simons-Morton et al., 2011). This extends laboratory findings that peer presence increases reward-related brain activity and risk-taking (Chein et al., 2011). In Australia, young Queensland learner and provisional drivers described how rewards and punishments from friends, parents and police shaped their risky driving decisions, with drivers varying in how much they resisted their friends' influence (Scott-Parker et al., 2012). Together, these findings suggest that peer approval acts as a powerful social reward that can heighten sensation-seeking and impulsive choices, although its effect depends on the norms of the peer group and on individual differences in reward sensitivity. {{RoundBoxTop|theme=4}} 💻 What is the difference between sensation-seeking and impulsivity? '''Sensation-seeking''' is the active pursuit of novelty, thrills, and high intensity experiences, whereas '''impulsivity''' is a lack of planning, reflection, and self-control that leads to rapid, uninhibited decision-making. {{RoundBoxBottom}} == Implications for understanding adolescent risk-taking == {{expand}} === Why are social rewards important? === Peer approval, social acceptance and status may become increasingly rewarding during adolescence as young people establish their identity, relationships and personal goals. The socially meaningful experiences during this period can trigger rewards that support motivation for behaviours that are socially approved by peers (Crone & Dahl, 2012). === Peer influence and reward processing === Evidence {{f}} suggests that adolescents take increased risks during simulated driving tasks and peer monitoring is perceived to be occurring; this also correlates with increased activation in the brain areas involved in reward processing (Chein et al., 2011). Real-world driving studies demonstrate similar results. Simons-Morton et al. (2011) showed that the amount of risky driving by novice teen drivers was reduced if an adult was present, and the number of risky driving friends a driver had, correlated positively with the level of risky driving exhibited. In addition, Scott-Parker et al. (2012) examined the impact of peer groups, parental figures and law enforcement on young QLD learners and provisional drivers' risky driving decision-making processes, demonstrating differences in how adolescents respond to various types of social influences. {{ic|seems repetitive of previous paragraph - consider removing/integrating}} === When does reward-driven behaviour become risky? === When an adolescent is exposed to social environments that provide high levels of emotional stimulation through immediate rewards, their tendency towards sensation-seeking and/or impulsive behaviours may be particularly dangerous {{f}}. In such situations, the immediate rewards of these behaviours may take precedence over a consideration of potential negative outcomes {{f}}. However, adolescents are not all alike in how they will respond to social and reward cues {{f}}. There are individual differences among adolescent regarding their sensitivity to rewards, ability to control themselves, personality traits, and past social experiences that can make them more or less vulnerable to being influenced by peers (Shulman et al., 2016; Kwon & Telzer, 2022). Therefore, it is the combination of an adolescents {{g}} increased desire for social approval and their exposure to peer groups with risky norms and little regard for long-term consequences, as opposed to simply seeking peer approval, that makes reward-driven behaviour more concerning. === Psychological implications === It is important to note that a heightened level of reward sensitivity in teenagers does not reflect an underdeveloped brain. Romer et al. (2017) suggest that the tendency for adolescents to seek out exciting experiences may be better understood as part of a process of exploration; they have limited life experience and opportunity to learn from their experiences. Additionally, seeking out new experiences can provide teenagers with the opportunity to gain additional skills, increase their self-confidence and improve their decision-making abilities. An example would be when a teenager joins a high school football team, offers their opinion in class or creates new friendships. These can all positively affect an adolescent's well-being and growth. Duell and Steinberg (2019) emphasise the need to distinguish between risky behaviours that could potentially harm a teenager and those that create positive developmental opportunities. similarly, there is evidence that reward-related brain activity can also lead to positive outcomes. Telzer (2016) demonstrated that adolescents who demonstrated higher levels of activity in the ventral striatum while making prosocial decisions showed reduced levels of risk taking over time {{explain}}. In summary, reward sensitivity can lead to both positive and negative behaviours depending upon the circumstances and goals involved. {{RoundBoxTop|theme=3}} '''Practical example: Positive risk-taking''' Imagine a teenager who enjoys excitement and trying new experiences. Rather than engaging in dangerous driving to impress friends, they might choose to participate in a challenging sport, join a debating competition, or learn a new skill. These activities can provide excitement, social recognition, and a sense of achievement without the same level of potential harm. This illustrates how sensation-seeking can support confidence, independence, and personal development when adolescents have opportunities to take constructive risks (Duell & Steinberg, 2019). {{RoundBoxBottom}} Understanding reward sensitivity helps explain why the same adolescent may behave differently depending on the rewards, emotions, and social pressures present in a situation. Interventions can redirect reward-seeking by providing adolescents with opportunities to experience excitement, achievement, independence, and social recognition through constructive activities such as sport or creative pursuits. Yeager et al. (2018) examined how adolescent sensitivity to social status and respect could inform interventions, supporting the importance of considering adolescents' social motivations when designing approaches to behaviour change. Much research supports the Dual Systems Model, suggesting that both reward sensitivity and cognitive control develop at varying rates throughout adolescence, however, the model is not an exhaustive explanation of adolescent risk taking (Shulman et al., 2016). {{RoundBoxTop|theme=4}} Quick revision: 🧭 Exploration: Seeking new experiences is a normal part of adolescent development 🏗️ Development: Risk-taking can build skills, confidence and independence 🧩 Context: Reward sensitivity can lead to positive or negative outcomes depending on the situation. 🤝 Intervention: Redirect reward-seeking towards constructive activities 🧠 Theory: The Dual Systems Model helps explain adolescent risk-taking, but it is not a complete explanation. {{RoundBoxBottom}} ==Conclusion== Understanding the role of reward sensitivity in explaining adolescent behaviour can inform interventions that help adolescents make safer decisions while promoting healthy developmental processes. Adolescents take risks due to the interactions of their developing reward systems, cognitive controls, sensation-seeking and social contexts. Reward-system development may create a strong attraction to new, exciting, and immediately rewarding experiences. Cognitive-control development, on the other hand, affects how adolescents assess consequences and manage their own behaviour (Steinberg, 2008). C hein et al.,(2011) and Simons-Morton et al., (2011) have demonstrated that peer influence contributes to the risky decisions and behaviours, especially in driving situations. The Dual Systems Model offers a helpful framework for understanding adolescent risk-taking, however, it does not provide a full explanation, as individual differences, emotional states and environmental factors also influence adolescents' behaviour. Reward-circuit maturation does not cause harmful behaviour; increased reward sensitivity can support exploration, learning, independence, and social development. Understanding these interactions helps explain adolescent sensation-seeking and impulsivity while informing interventions that promote safer decisions and positive development. Ultimately, reward-circuit maturation influences adolescent sensation-seeking and impulsive behaviours by increasing the motivational value of exciting, novel and immediately rewarding experiences, including peer approval and social acceptance. ==See also== *[[Behaviourism]] (Wikiversity) *[[wikipedia:Dual_systems_model|Dual systems model]] (Wikipedia) *[[Motivation and emotion/Book/2011/Peer influence in adolescence|Peer influence in adolescence]] (Book chapter, 2011) *[[Influence and Persuasion|Peer pressure]] (Wikiversity) *[[Motivation and emotion/Book/2024/Adverse childhood experiences and risk-taking motivation|Risk-taking motivation]] (Book chapter, 2024) ==References== {{Hanging indent|1= Australian Institute of Family Studies. (2025, August 19). ''One-third of teens experience suicidal thoughts and behaviours''. Growing up in Australia. https://aifs.gov.au/growing-australia/media/one-third-teens-experience-suicidal-thoughts-and-behaviours Casey, B. J., Getz, S., & Galvan, A. (2008). The adolescent brain. Developmental review : DR, 28(1), 62–77. https://doi.org/10.1016/j.dr.2007.08.003 Casey, B. J., Jones, R. M., & Hare, T. A. (2008). The adolescent brain. ''Annals of the New York Academy of Sciences, 1124''(1), 111–126. https://doi.org/10.1196/annals.1440.010 Castellanos-Ryan, N., & Conrod, P. J. (2013). Personality and addiction processes. ''Principles of addiction: comprehensive addictive behaviours and disorders'', 211-224. https://doi.org/10.1016/B978-0-12-398336-7.00028-0 Chein, J., Albert, D., O'Brien, L., Uckert, K., & Steinberg, L. (2011). Peers increase adolescent risk taking by enhancing activity in the brain's reward circuitry. ''Developmental Science, 14''(2), F1–F10. https://doi.org/10.1111/j.1467-7687.2010.01035.x Crone, E. A., & Dahl, R. E. (2012). Understanding adolescence as a period of social-affective engagement and goal flexibility. ''Nature reviews. Neuroscience, 13''(9), 636–650. https://doi.org/10.1038/nrn3313 Duell, N., & Steinberg, L. (2019). Positive risk taking in adolescence. ''Child Development Perspectives, 13''(1), 48–52. https://doi.org/10.1111/cdep.12310 Duell, N., Steinberg, L., Icenogle, G., Chein, J., Chaudhary, N., Di Giunta, L., Dodge, K. A., Fanti, K. A., Lansford, J. E., Oburu, P., Pastorelli, C., Skinner, A. T., Sorbring, E., Tapanya, S., Uribe Tirado, L. M., Peña Alampay, L., Al-Hassan, S. M., Takash, H. M. S., Bacchini, D., & Chang, L. (2018). Age patterns in risk taking across the world. ''Journal of Youth and Adolescence, 47''(5), 1052–1072. https://doi.org/10.1007/s10964-017-0752-y Galván A. (2010). Neural plasticity of development and learning. ''Human brain mapping, 31''(6), 879–890. https://doi.org/10.1002/hbm.21029 Jaworska, N., & MacQueen, G. (2015). Adolescence as a unique developmental period. ''Journal of psychiatry & neuroscience : JPN, 40''(5), 291–293. https://doi.org/10.1503/jpn.150268 Kwon, SJ., Telzer, E.H. Social contextual risk taking in adolescence. ''Nat Rev Psychol 1'', 393–406 (2022). https://doi.org/10.1038/s44159-022-00060-0 Masten, S. V., Thomas, F. D., Korbelak, K. T., Peck, R. C., & Blomberg, R. D. (2015). ''Meta-analysis of graduated driver licensing laws'' (Report No. DOT HS 812 211). National Highway Traffic Safety Administration. https://doi.org/10.21949/1525783 O'Brien, L., Albert, D., Chein, J., & Steinberg, L. (2011). Adolescents prefer more immediate rewards when in the presence of their peers. ''Journal of Research on Adolescence, 21''(4), 747–753. https://doi.org/10.1111/j.1532-7795.2011.00738.x Romer, D., Reyna, V. F., & Satterthwaite, T. D. (2017). Beyond stereotypes of adolescent risk taking: Placing the adolescent brain in developmental context. ''Developmental Cognitive Neuroscience, 27'', 19–34. https://doi.org/10.1016/j.dcn.2017.07.007 Scott-Parker, B., Watson, B., King, M. J., & Hyde, M. K. (2012). "They're lunatics on the road": Exploring the normative influences of parents, friends, and police on young novices' risky driving decisions. ''Safety Science, 50''(9), 1917–1928. https://doi.org/10.1016/j.ssci.2012.05.014 Shulman, E. P., Smith, A. R., Silva, K., Icenogle, G., Duell, N., Chein, J., & Steinberg, L. (2016). The dual systems model: Review, reappraisal, and reaffirmation. ''Developmental cognitive neuroscience, 17'', 103–117. https://doi.org/10.1016/j.dcn.2015.12.010 Simons-Morton, B., & Ouimet, M. C. (2006). Parent involvement in novice teen driving: A review of the literature. ''Injury Prevention, 12''(Suppl 1), i30–i37. https://doi.org/10.1136/ip.2006.011569 Simons-Morton, B. G., Ouimet, M. C., Zhang, Z., Klauer, S. E., Lee, S. E., Wang, J., Chen, R., Albert, P., & Dingus, T. A. (2011). The effect of passengers and risk-taking friends on risky driving and crashes/near crashes among novice teenagers. ''Journal of Adolescent Health, 49''(6), 587–593. https://doi.org/10.1016/j.jadohealth.2011.02.009 Somerville, L. H., Jones, R. M., & Casey, B. J. (2010). A time of change: behavioral and neural correlates of adolescent sensitivity to appetitive and aversive environmental cues. ''Brain and cognition, 72''(1), 124–133. https://doi.org/10.1016/j.bandc.2009.07.003 Spear, L. P. (2011). Rewards, aversions and affect in adolescence: Emerging convergences across laboratory animal and human data. ''Developmental Cognitive Neuroscience, 1''(4), 390–403.https://doi.org/10.1016/j.dcn.2011.08.001 Steinberg, L. (2007). Risk taking in adolescence: New perspectives from brain and behavioral science. ''Current Directions in Psychological Science, 16''(2), 55–59. https://doi.org/10.1111/j.1467-8721.2007.00475.x Steinberg, L. (2008). A social neuroscience perspective on adolescent risk-taking. ''Developmental Review, 28''(1), 78–106. https://doi.org/10.1016/j.dr.2007.08.002 Telzer, E. H. (2016). Dopaminergic reward sensitivity can promote adolescent health: A new perspective on the mechanism of ventral striatum activation. ''Developmental Cognitive Neuroscience, 17'', 57–67. https://doi.org/10.1016/j.dcn.2015.10.010 Wasserman, A. M., Mathias, C. W., Hill-Kapturczak, N., Karns-Wright, T. E., & Dougherty, D. M. (2020). The Development of Impulsivity and Sensation Seeking: Associations with Substance Use among At-Risk Adolescents. ''Journal of research on adolescence : the official journal of the Society for Research on Adolescence, 30''(4), 1051–1066. https://doi.org/10.1111/jora.12579 Yeager, D. S., Dahl, R. E., & Dweck, C. S. (2018). Why interventions to influence adolescent behavior often fail but could succeed. ''Perspectives on Psychological Science, 13''(1), 101–122. https://doi.org/10.1177/1745691617722620 }} ==External links== *[https://youthrelationships.org/pages/adolescent-risk-behaviours Adolescent risk behaviours] (London family court clinic) *[https://www.youtube.com/watch?v=00BDx0bRalQ Speaking of psychology: understanding the teenage brain, with Eva Telzer, PhD] (American Psychological Association) *[https://www.ted.com/talks/jennifer_pfeifer_the_surprising_science_of_adolescent_brains The surprising science of adolescent brains] (TED talks) *[https://www.abc.net.au/listen/programs/lifematters/risk-taking-in-teens-and-dylan-lewis-on-supporting-entertainers-/104340638 Risk taking in teens] (ABC listen) *[https://theconversation.com/of-course-parents-want-to-keep-tweens-and-teens-safe-heres-why-you-should-also-encourage-them-to-take-risks-289711 Why you should encourage teens to take risks] (The Conversation) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Adolescence]] [[Category:Motivation and emotion/Book/Risk]] 5ew4ru83312j63jq0lbha2il6xel1bs 0 331052 2844226 2843477 2026-11-03T15:38:50Z ShakespeareFan00 6645 2844226 wikitext text/x-wiki {{title|Need to love and be loved:<br>How does the desire to give and receive love influence motivation?}} __TOC__ ==Overview== {{RoundBoxTop|theme=12}}[[File:Love heart.jpg|thumb|150px|'''Figure 1'''. Hands holding out a heart. {{ic|Explain how this is connected to the scenario.}}]] '''Understanding love in pop culture''' ''Have you ever wondered why people risk their own safety for someone they love?'' In popular media, love can motivate characters to make challenging decisions, protect others, and sacrifice their own needs. In the 2026 psychological horror film [https://en.wikipedia.org/wiki/Backrooms_(film) Backrooms] {{ic|Use an internal link style as shown in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]}}, Mary investigates the disappearance of her patient, Clark, who vanished into the disorienting maze behind his workplace. Mary's decision to investigate raises a question: why might someone continue pursuing another person's wellbeing despite the potential risks? In contrast, the animated television series [https://en.wikipedia.org/wiki/Steven_Universe Steven Universe] {{ic|Use an internal link style as shown in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]}} frequently explores love through empathy, friendship, and emotional support. Steven's relationships demonstrate how caring for others, even if non-human, can motivate people to understand different perspectives and help those experiencing difficulties. Although fictional stories are not scientific evidence, they provide examples of how emotional bonds can influence behaviour. {{RoundBoxBottom}} [[Healthy lifestyle/Love|'''Love''']] is a complex interpersonal experience that can influence how people ''think, feel, and behave''. Chances are, '''you''' have experienced love, whether romantic or platonic. In psychology, motivation and emotion are distinguished from one another. '''[[Motivation]]''' refers to the internal processes that give behaviour its direction, intensity, and persistence (Reeve, 2018). That distinction frames the central problem of this chapter. Love is typically experienced and described as a feeling. Yet, a substantial body of evidence treats the desire to form and maintain close interpersonal bonds as a '''fundamental human motivation''', one that measurably shapes ''emotional states, cognitive processing, and physical health'' (Baumeister & Leary, 1995). Therefore, this chapter works with ''two key concepts''. '''[[Belonging]]''' refers to the desire for affection and acceptance, with love broadly understood as to include family, friendship, and care for strangers, rather than romantic attraction alone. [[wikipedia:Interpersonal_relationship|'''Interpersonal connection''']] refers to the social bonds through which these needs are met and sustained. The problem this creates is practical and theoretical. If love operates as a motivational system, then the relationships people lack, lose, or pursue at any cost should have ''predictable consequences'' for well-being and behaviour. It is therefore ''important'' to examine how the need to love and be loved is explained across psychological perspectives, given that social connection is linked to outcomes as consequential as survival itself. {{RoundBoxTop|theme=12}} '''Focus questions''' * Why is the need to love and be loved considered an important source of human motivation? * How do psychological theories explain the motivation to form and maintain meaningful relationships? * How does the desire to give and receive love influence behaviours such as affiliation, caregiving, and prosocial behaviour? * When can the motivation to obtain love and belonging conflict with other psychological needs or become maladaptive? {{RoundBoxBottom}} ==1. Love and belonging as human motivation== {{expand}} === 1.1 The need to belong === [[File:Human–canine friendship - girl hugging her dog tightly at golden hour in Laos.jpg|thumb|150px|'''Figure 2'''. A companionship that goes beyond.]] '''Love and interpersonal relationships''' can influence motivation by directing people towards social connection. In other words, ''forming and maintaining relationships''. Humans do not simply interact with others because social interaction is available. In a highly influential review, Baumeister and Leary (1995)'s [[wikipedia:Belongingness|theory of belongingness]] hypothesis: that human beings have a pervasive drive for form and maintain at least a ''minimum quantity of lasting, positive, and significant interpersonal relationships''. The need, they argued, is satisfied by frequent, non-aversive interactions within an ongoing relational bond. Two kinds of evidence support this. First, people form [[wikipedia:Attachment|attachments]] readily, even under adverse circumstances, and resist the dissolution of existing bonds even when maintaining them provides no obvious practical benefit. Second, belongingness has multiple and strong effects on emotional patterns, and a lack of attachment is linked to ill effect on health and well-being. {{f}} The health consequences are ''not trivial''. A meta-analysis of 148 studies involving 308,849 participants found that people with stronger social relationships has a '''50% higher''' likelihood of survival than those with weaker relationships. An effect comparable in magnitude to well-established risk factors such as smoking (Holt-Lunstad et al., 2010) {{g}}. [[wikipedia:Social_support|Social support]] also buffers the impact of stress on well-being, protecting people from the harmful effects of '''stressful life events''' (Cohen & Wills, 1985). Together, this evidence suggests that relationships function as motivational goals in their own rights, not merely as tools for achieving other outcomes. This is evident in people investing time, effort, and emotional energy in bonds just because the bonds ''themselves'' matter. However, the desire for connection can become particularly influential when it is insecure. Guan et al., (2025) conducted a longitudinal network analysis of 80 couples (N = 160) and found that '''love addiction''', an obsessive and dependent pattern of romantic involvement, was ''positively associated'' with emotional dependence and negatively associated with attachment [[wikipedia:Avoidance|avoidance]]. {{RoundBoxTop|theme=12}}'''This will foreshadow later in the chapter:''' ❤︎ The same motivational system that produces care and persistence can, when frustrated or over-activated, produce anxiety and self-sacrifice at the expense of the self. {{RoundBoxBottom}} === 1.2 Love, connection, and relatedness === '''Belongingness''' refers to the human emotion to be ''accepted'' as a member of a group. Whether family, friends, co-workers, a religion, or something else. People have an inherent [[wikipedia:Desire|desire]] to belong. [[File:20110702-31-Ilana_tim_and_becca_hug_(5972579616).jpg|thumb|330x330px|'''Figure 3'''. Friends hugging.]] Baumeister and Leary (1995) specified ''two criteria'' that distinguish belonging from mere social contact: interactions must be frequent and pleasant, and they must occur within a relational framework in which each party is concerned with the other's welfare. Importantly, they argued that the need is both ''satiable and substitutable'', meaning that a single close bond can compensate for a larger but shallower [[wikipedia:Social_network|social network]]. Analytically, this refinement matters because it predicts that the quality and reciprocity of bonds, rather than their number, should drive '''motivational outcomes'''. However, the evidence base for the belongingness hypothesis is ''largely correlational''. Both researchers acknowledged that much of it comes from [[wikipedia:Naturalistic_observation|naturalistic studies]] rather than experiments. Therefore, love can be one way through which the broader need for interpersonal connection ''is'' ''experienced and expressed''. In a [[wikipedia:Qualitative_research|qualitative case study]], Qadir and Sethi (2026) explored occupational therapists' experiences of belongingness in '''inter-professional clinical environments''' in Pakistan of 10 purposively sampled therapists. Their participants' sense of belonging was built by professional [[wikipedia:Competence|competence]], [[wikipedia:Collaboration|collaboration]] and motivation. However, it was undermined by '''professional identity crises''' and '''organisational barriers'''. The study illustrates how ''belonging and motivation appear to reinforce one another''. Supportive interactions contribute to connection, which in turn sustained engagement at work. Yet, the design constrains what can be concluded. With 10 participants in a single profession and country, the findings are suggestive rather than [[wikipedia:Generalization|generalisable]]. Additionally, the reciprocal relationship between belonging and motivation ''cannot be disentangled from direction of causation''. Complementary [[wikipedia:Cross-cultural_psychology|cross-cultural]] evidence points the same way. However, Hammell (2014) argues that belonging, connectedness, and interdependence are ''positively correlated'' with human well-being and are prioritised by the majority of the world's people. Furthermore, connection is ''not confined to face-to-face relationships''. The animated series ''Steven Universe'' offers a useful illustration, an analysis that portrays [[wikipedia:Social_exclusion#Social_inclusion|inclusivity]] and [[wikipedia:Kinship|kinship]] beyond humans (Whipple, 2026). Its central metaphor of "'''fusion'''", in which characters who are emotionally attuned combine into a shared identity, has been read as a depiction of connection as something actively built between people (Juffer, 2020). Audiences extend this logic themselves. Media figures and fictional characters, known as [[wikipedia:Parasocial_interaction|parasocial]] relationships, and attachment styles predict how strongly such bonds form, with ''anxiously attached individuals forming the strongest'' (Cole & Leets, 1999). Being emotionally transported into a story is also associated with increased [[wikipedia:Empathy|empathy]], although only for readers who are ''genuinely absorbed'' (Bal & Veltkamp, 2013). These effects help explain why a chosen family of alien guardians in ''Steven Universe'' can feel motivationally real to audiences, even though the evidence is predominantly correlational. {{RoundBoxTop|theme=12}}'''Think about it: what's on your phone lock screen?''' ❤︎ [[File:IPhone 17e Soft Pink Model - 1.jpg|thumb|150px|'''Figure 4'''. Pink Apple iPhone.]] ''Imagine you could only have one person on your phone's lock screen for the next year. Who would you choose, and why them?'' A lock screen is a practical feature of a phone, yet the image we choose to display can carry considerable emotional meaning. Conroy and Fraley (2026) tested whether a romantic partner's photo used as a lock screen could influence attachment security across three studies. In a correlational study of 4,741 people, those who displayed partner photos reported greater attachment security. But two experiments complicated the narrative. Randomly assigning participants to add a partner photo produced no increase in security, while removing one produced measurable declines. Lock screens, it seems, may reflect existing security rather than create it. However, the everyday symbols of our bonds are not psychologically inert. The image you chose may be quietly doing attachment work every time you unlock your phone. {{RoundBoxBottom}} == 2. Theories explaining love as a motivational need == {{expand}} === 2.1 Maslow's hierarchy of needs === [[wikipedia:Maslow's_hierarchy_of_needs|Maslow]] (1943) proposed that ''humans {{g}} motivation is organised around a set of basic needs'', arranged roughly from physiological [[wikipedia:Need|needs]] and [[wikipedia:Safety|safety]], through love and belonging, to [[wikipedia:Respect|esteem]] and [[wikipedia:Self-actualization|self-actualisation.]] [[File:Maslow's Hierarchy of Needs Diagram.png|thumb|480x480px|'''Figure 5'''. Maslow's hierarchy of needs.]] Within this framework, love and belonging involve the desire for '''affection and acceptance'''. When lower needs are ''insufficiently satisfied'', individuals become motivated to ''seek relationships before pursuing higher goals''. The theory's intuitive appeal lies in its account of priority: ''someone lacking food or safety will rarely be primarily motivated by romance''. However, the theory's empirical standing is weaker than its '''cultural familiarity''' suggests. Greene and Burke (2007) note that the hierarchy was widely accepted despite not being [[wikipedia:Empirical_research|empirically]] tested at the time it was proposed. Subsequent scholarship has identified ''two further complications''. First, even Maslow's later writings did not treat the ordering as rigid. The needs overlapped, and adults whose [[wikipedia:Child|childhood]] love needs went unmet may develop insatiable, fixation-like cravings for affection rather than simply progressing up the hierarchy (Weinberg, 2005). Second, the '''model's popular''' '''pyramid form''', with love and belonging occupying a single fixed level, is largely a later ''teaching device rather than a claim'' Maslow himself tested (Cordell & Thompson, 2019). Maslow is therefore best treated as an organising metaphor with genuine [[wikipedia:Heuristic|heuristic]] value, not a precise predictive model. === 2.2 Self-determination theory === [[wikipedia:Self-determination_theory|Self-determination theory]] (SDT) begins from a different premise. Human beings are ''innately motivated to grow'', and social conditions either support or thwart that growth. [[File:Self-Determination-Theory.png|thumb|425x425px|'''Figure 6'''. The three basic psychological needs of self-determination theory (Ryan & Deci, 2000).]] Ryan and Deci (2000) proposed '''three innate psychological needs''', ''competence, autonomy, and relatedness''. When satisfied, yielded enhanced self-motivation and [[wikipedia:Mental_health|mental health]] {{g}}. When thwarted, led to ''diminished motivation and well-being'' {{g}}. Relatedness, the need to feel connected to and cared for by others, is the need most directly relevant to love. ''Two features'' make SDT more empirically tractable than Maslow's model. First, Vansteenkiste and Ryan (2013) distinguish need [[wikipedia:Satisfaction|satisfaction]] from need [[wikipedia:Frustration|frustration]] as a unifying principle. They argued that satisfaction fosters well-being and resilience whereas frustration evokes ill-being and [[wikipedia:Defence_mechanism|defensiveness]] in the pursuit of need substitutes. Second, cross-cultural work supports the universality claim. When participants in the United States and South Korea described their '''most''' '''satisfying life events''', autonomy, competence, and self-esteem emerged as the ''most valued needs across both samples'' (Sheldon et al., 2001). Further research with Korean samples support the claim that the three needs ''function similarly'' across cultures (Jang et al., 2009). === '''2.3 Attachment theory''' === [[wikipedia:Attachment_theory|Attachment theory]], founded by Bowlby (1969/1982), argues that an evolved behavioural system ''motivates infants to seek proximity to [[wikipedia:Caregiver|caregivers]] for protection'', and that ''attachment-related experiences become internalised'' as working models of self and other that organise behaviour across the [[wikipedia:Lifespan|lifespan]] (Granqvist & Duschinsky, 2021). [[File:Adult attachment patterns.svg|thumb|323x323px|'''Figure 7'''. Adult attachment patterns: avoidance of closeness and anxiety about abandonment (Collins & Read, 1990).]] The theory's key motivational concepts are the '''safe haven''' (turning to a valued other for comfort in distress) and the '''secure base''' (using a trusted other as a platform for exploration). The evidence for developmental continuity is unusually strong, but more qualified than popular accounts suggest. In a 20-year longitudinal study, '''72%''' of [[wikipedia:Infant|infants]] received the same secure-versus-insecure classification in early adulthood. However, '''44%''' of infants whose mothers reported ''negative life events'' changed the classification, supporting the theory's own claim that ''attachment is stable yet open to revision'' (Waters et al., 2000). Hazan and Shaver (1987) extended the theory to [[wikipedia:Romance|romantic love]], proposing that adult pair bonds reflect the same individual differences as infant-caregiver attachment. Collins and Read (1990) showed that adult attachment varies along ''two dimensions'': anxiety about abandonment and avoidance of closeness. Fraley and Shaver's (2000) review {{g|| however, identified ''five unresolved controversies'' that everyone should apply when learning about love. The '''nature of adult attachment''' in adulthood, whether individual differences are best modelled as '''categories or dimensions''', the degree of '''continuity''' and change in '''security''', and the integration of attachment with caregiving and [[wikipedia:Sex|sexual]] systems {{f}} {{explain}}. === '''2.4 Love as a motivational system in the brain''' === [[wikipedia:Neuroscience|Neuroscience]] adds a fourth perspective. Fisher et al., (2006) reviewed [[wikipedia:Functional_magnetic_resonance_imaging|fMRI]] studies showing that early-stage romantic love ''[[wikipedia:Activation|activates]] [[wikipedia:Dopamine|dopamine]]-rich [[wikipedia:Brain_stimulation_reward|reward]] and motivation regions'', including the '''ventral''' and '''tegumental area''' and '''caudate nucleus'''. They argue that ''romantic love is primarily a motivation system rather than an emotion'', one of three evolved systems that direct [[wikipedia:Mating|mating]] and [[wikipedia:Bonding|bonding]] behaviours. The original study scanned 17 intensely in-love participants and found that activation in reward regions correlated with ''self-reported intensity of romantic passion''. A comparable pattern, activation in reward regions alongside deactivation in areas associated with negative emotion, has been ''reported and replicated in a Chinese sample'' (Xu et al., 2010). The critical limitations are equally important. These studies involve ''small samples and cross-sectional [[wikipedia:Correlation|correlational designs]]'', so brain activation during love cannot establish that reward circuitry causes loving behaviour. Fisher and colleagues themselves acknowledge that romantic love shares reward pathways with behavioural addictions, including '''cravings and relapse-like patterns'''. Finally, the literature is complicated by ''inconsistent use'' of the term "'''romantic love'''", which different researchers apply to either the intense early-stage state or to love in romantic relationships. == 3. Quiz time! == === Test your newfound knowledge on these theories about love as a motivational need: === <quiz display=simple> { ''A young adult whose childhood affection needs were chronically unmet becomes intensely and compulsively preoccupied with romantic love. According to this chapter's discussion of Maslow, what does this pattern illustrate?'' |type="()"} + Fixation: unmet love needs can produce insatiable cravings for affection rather than healthy progression up the hierarchy. - Self-actualisation, because the person is pursuing an important personal goal. - Deactivation, the avoidant strategy of suppressing attachment needs. - Cognitive interdependence, the commitment mechanism in close relationships. { ''According to self-determination theory, which factor best predicts whether a romantic relationship will support a person's motivation and well-being?'' |type="()"} + Whether the relationship is volitional and nourishing rather than controlling or dependent. || SDT predicts that the quality of relationships, not their mere presence, determines motivational benefit. - The number of close relationships the person maintains. || This is a quantity measure; SDT's distinctive prediction concerns quality. - Whether the relationship was formed before higher goals were pursued. || This reflects a hierarchy-style account, not SDT's. - The intensity of romantic feelings within the relationship. || Feeling intensity is not an SDT criterion for whether relationships support motivation. { ''In Waters et al.'s (2000) 20-year longitudinal study, 72% of infants received the same secure-versus-insecure classification in early adulthood, but 44% of infants whose mothers reported negative life events changed classification. What does this pattern illustrate?'' |type="()"} + Attachment is meaningfully stable across the lifespan yet open to revision in light of later experience. || This supports attachment theory's own claim that working models are persistent but not fixed. - Attachment security is genetically fixed at birth. || The heritability evidence is limited, and the study shows change is possible. - Infant attachment has no bearing on adult relationships. || A 72% match over 20 years shows substantial continuity. - Attachment classifications are too unreliable to study scientifically. || The study successfully tracked classifications over two decades. { ''Fisher and colleagues (2016) argued that early-stage romantic love shares reward pathways with behavioural addictions. What is the most appropriate interpretation of this claim?'' |type="()"} + Romantic love can exhibit addiction-like features such as craving and emotional dependence, which helps explain how love motivation can become harmful, even though the state is usually adaptive. || On this account, love is a natural addiction that typically matures into calm attachment; the clinical question is when it turns harmful. - Romantic love is identical to drug addiction and should be diagnosed as a substance use disorder. || Fisher et al. distinguish natural addiction from clinical addiction. - Because romantic love is natural, it can never become maladaptive. || The addiction framing exists precisely to explain harmful patterns such as love addiction. - Dopamine is released only during drug use, not during love. || The fMRI studies show dopamine-rich reward regions activate during romantic love. </quiz> == 4. When the desire for love becomes maladaptive == {{expand}} === '''4.1 Attachment anxiety and fear of rejection''' === Adults high in ''attachment [[wikipedia:Anxiety|anxiety]] worry about [[wikipedia:Abandonment_(emotional)|abandonment]];'' adults in ''high avoidance are [[wikipedia:Comfort|uncomfortable]] with [[wikipedia:Closeness|closeness]]'' (Collins & Read, 1990). When the attachment system fails to deliver security, '''people adopt secondary strategies'''. [[File:Dreams of fascinating, radiant beauty.svg|thumb|220x220px|'''Figure 7'''. A woman daydreaming, from a 1924 magazine advertisement. {{ic|Explain how this image connects to the text.}}]] Attachment anxiety is associated with ''hyper-activation'' of the attachment system, as exaggerated dependence on others to ''regulate distress'', whereas avoidance is ''associated with deactivation'', a '''pseudo-autonomy''' in which reliance on others is suppressed (Messina et al., 2024). These strategies are not merely adult [[wikipedia:Habit|habits]]. In a prospective analysis drawing on the ''Minnesota Longitudinal Study'', infant attachment insecurity predicted ''distinct emotional-regulation strategies'' in video-recorded '''conflict discussions with romantic partners''' 20 to 35 years later, with unstable insecurity predicting hyper-regulation, ''exaggerating emotional [[wikipedia:Expression|expressions]] and [[wikipedia:Rumination|ruminating]]'' (Girme et al., 2020) {{g}}. Meta-analytically, both insecure dimensions are ''linked to poorer mental health'' across 224 studies (N = 79,722), with anxiety showing the ''stronger association with negative outcomes such as depression and loneliness'' (r = .42, versus .28 for avoidance) (Zhang et al., 2022). In short, the same system that motivates care can, when security is not delivered, motivate clinging or [[wikipedia:Withdrawal|withdrawal]] instead. {| class="wikitable" |+Table 1. Two insecure attachment strategies !Dimension !Attachment anxiety !Attachment avoidance |- |Core concern |Fear of abandonment |Discomfort with closeness |- |Secondary strategy |Hyper-activation: exaggerated dependence on others to regulate distress |Deactivation: pseduo-autonomy, suppression of reliance on others |- |Emotion regulation |Hyper-regulation: exaggerated emotion, rumination |Hypo-regulation: suppression and disengagement |- |Link to poorer mental health |Stronger (r = .42) |Weaker (r = .28) |} === '''4.2 Emotional dependence, love addiction, and relationship loss''' === When the desire for closeness becomes overwhelming, it can take the form of '''love addiction''', characterised by an ''overwhelming [[wikipedia:Investment|investment]] in romantic relationships and excessive [[wikipedia:Dependency|dependence]] on the partner''. Despite growing clinical interest, love addiction has '''no''' official diagnostic classification. [[File:Siddharth Choudhary Of No Fixed Address pigment print on canvas 60x40 in Love and Other Addictions.jpg|thumb|300x300px|'''Figure 8'''. ''Love and Other Addictions'' (2019), pigment print on canvas by Siddharth Choudhary, from the series ''Of No Fixed Address''. {{ic|Abstract. Explain how this connects to the topic being discussed in the nearby text.}}]] Researchers debate whether it {{what}} fits best within [[wikipedia:Behavioral_addiction|behavioural addictions]] or is better understood as a relational pattern (Maglia et al., 2023). This uncertainty should temper strong claims, but the empirical correlations are reasonably consistent. A '''meta-analysis of 27 studies''' (3,628 participants) found a ''substantial positive association'' between love addiction and [[wikipedia:Anxious-preoccupied_attachment|anxious attachment]] (r = .39) and a small ''negative association'' with avoidance (r = -.09) (Cavalli et al., 2025). Guan et al., (2025) similarly found love addiction ''positively associated'' with emotional dependence, and ''negatively associated'' with attachment avoidance, in a '''longitudinal network analysis of 80 couples'''. Its strongest links to items expressing [[wikipedia:Helpless|helplessness]] if deserted (edge weights of .52 and .55 at the two time points) {{g}} {{rewrite}}. Further studies add texture: anxious attachment ''amplified'' the association between [[wikipedia:Obsessive–compulsive_disorder|obsessive]] relationship preoccupation and love addiction in samples of 720 and 672 adults (Cavalli & Velotti, 2025). Across these studies, love addiction behaves '''less like a''' '''standalone addiction''' and more like ''anxious attachment expressed through romantic intensity''. The costs of losing a bond confirms the same pattern from the other direction {{huh}}. In a '''within-subjects study of 1,295 young adults''' {{where}}, '''36.5%''' experienced at least one break-up over 20 months, and [[wikipedia:Breakup|break-ups]] were associated with ''increased psychological distress and declining life satisfaction'' (Rhoades et al., 2011). The [[wikipedia:Distress|distress]] is not distributed evenly. Among 257 young adults, post break-up distress was most ''strongly associated with commitment, relationship duration, and anxious attachment styles'' (Sprecher et al., 1998). Among the 303 recently separated people, high anxious attachment and low social support predicted ''persistent attachment to the former partner, loneliness and psychological distress across two years'' (Halford & Sweeper, 2012). Losing love, in other words, '''hurts''' '''most''' '''preciously''' for those whose attachment to it was already anxious. ==Conclusion== This chapter set out to answer why people are motivated to love and be loved, and what that motivation makes them do. The evidence reviewed supports a clear answer to the first question: the desire to form and maintain close interpersonal bonds is a fundamental human motivation, not a luxury added on top of survival needs. The four theoretical perspectives examined here explain this from complementary angles. Maslow (1943) places love and belonging among basic needs and supplies an intuitive account of priority; self-determination theory identifies relatedness as one of the three innate psychological needs whose satisfaction determines motivational benefit; attachment theory explains individuals differences in how people seek safe havens and secure bases across the lifespan; and neuroscience frames romantic love as a dopaminergic motivational system that focuses energy on specific others. The second question received an equally direct answer. Giving love motivates caregiving, sacrifice, and cognitive interdependence. Whilst, receiving responsive love fuels security and exploration. But the same system, when insecure, motivates clinging and rejection. It is therefore the security of the bond, not the strength of the desire, that determines whether love builds people up or holds them captive. {{RoundBoxTop|theme=12}} '''Take-home message''' ❤︎ Ultimately, love is not simply something people feel. It is something they are motivated to pursue, provide, and protect. The outcomes of that motivation depend on whether the underlying need for security is met. {{RoundBoxBottom}} ==See also== * [[Motivation and emotion/Book/2025/Love styles and relationship satisfaction|Love styles and relationship satisfaction]] (Book chapter, 2025) * [[wikipedia:Need_theory|Need theory]] (Wikipedia) * [[Motivation and emotion/Book/2011/Relationships and happiness|Relationships and happiness]] (Book chapter, 2011) * [[What Matters/Psychological Needs|What matters/psychological needs]] (Wikiversity) ==References== {{Hanging indent|1= Bal, P. M., & Veltkamp, M. R. (2013). How does fiction reading influence empathy? An experimental investigation on the role of emotional transportation. "PLoS ONE", "8"(1), e55341. https://doi.org/10.1371/journal.pone.0055341 Baumeister, R. F., & Leary, M. R. (1995). The need to belong: Desire for interpersonal attachments as a fundamental human motivation. ''Psychological Bulletin, 117''(3), 497-529. https://doi.org/10.1037/0033-2909.117.3.497 Bowlby, J. (1969/1982). ''Attachment and loss: Vol. 1. Attachment'' (2nd ed.). Basic Books. Cavalli, R. G., Feeney, J. A., Rogier, G., & Velotti, P. (2025). Conceptualizing love addiction within the attachment perspective: A systematic review and meta-analysis. ''Journal of Behavioral Addictions''. https://doi.org/10.1556/2006.2025.00031 Cavalli, R. G., & Velotti, P. (2025). Psychopathology of couple relationship: A moderation analysis on love addiction. ''International Journal of Psychology''. https://doi.org/10.1002/ijop.70079 Cohen, S., & Wills, T. A. (1985). Stress, social support, and the buffering hypothesis. ''Psychological Bulletin'', ''98''(2), 310-357. https://doi.org/10.1037/0033-2909.98.2.310 Cole, T., & Leets, L. (1999). Attachment styles and intimate television viewing: Insecurely forming relationships in a parasocial way. ''Journal of Social and Personal Relationships'', ''16''(4). https://doi.org/10.1177/0265407599164005  Collins, N. L., & Read, S. J. (1990). Adult attachment, working models, and relationship quality in dating couples. ''Journal of Personality and Social Psychology'', ''58''(4), 644 661. https://doi.org/10.1037/0022-3514.58.4.644 Conroy, K. E., & Fraley, R. C. (2026). Security priming in everyday life: How do symbols of close others support attachment in adulthood? ''Journal of Personality and Social Psychology, 130''(6), 1229-1247. https://doi.org/10.1037/pspp0000590 Cordell, A., & Thompson, I. (2019). Maslow's hierarchy of needs. In ''Encyclopedia of personality and individual differences''. Springer. https://doi.org/10.4324/9781351239509-47 Fisher, H. E., Aron, A., & Brown, L. L. (2006). Romantic love: A mammalian brain system for mate choice. ''Philosophical Transactions of the Royal Society B: Biological Sciences'', ''361'', 2053-2063. https://doi.org/10.1098/rstb.2006.1938  Fisher, H. E., Xu, X., Aron, A., & Brown, L. L. (2016). Intense, passionate, romantic love: A natural addiction? How the fields that investigate romance and substance abuse can inform each other. ''Frontiers in Psychology'', ''7'', 687. https://doi.org/10.3389/fpsyg.2016.00687 Fraley, R. C., & Shaver, P. R. (2000). Adult romantic attachment: Theoretical developments, emerging controversies, and unanswered questions. ''Review of General Psychology'', ''4''(2), 132-154. https://doi.org/10.1037/1089-2680.4.2.132 Girme, Y. U., Jones, R. E., Fleck, C., Simpson, J. A., & Overall, N. C. (2020). Infants' attachment insecurity predicts attachment-relevant emotion regulation strategies in adulthood. ''Emotion''. https://doi.org/10.1037/emo0000721 Granqvist, P., & Duschinsky, R. (2021). Attachment theory and research. In ''Oxford research encyclopedia of psychology''. Oxford University Press. https://doi.org/10.1093/acrefore/9780190236557.013.51 Greene, L., & Burke, G. (2007). Beyond self-actualization. ''Journal of Health and Human Services Administration'', ''30''(2). https://doi.org/10.1177/107937390703000201  Guan, C., Wang, J., Zhang, L. et al. (2025). A longitudinal network of the relationship between love addiction, insecure attachment patterns, and interpersonal dependence. ''BMC Psychol'' 13, 330. https://doi.org/10.1186/s40359-025-02605-3 Halford, W. K., & Sweeper, S. (2012). Trajectories of adjustment to couple relationship separation. ''Family Process''. https://doi.org/10.1111/famp.12006  Hammell, K. R. W. (2014). Belonging, occupation, and human well-being: An exploration. ''Canadian Journal of Occupational Therapy'', ''81''(1). https://doi.org/10.1177/0008417413520489 Hazan, C., & Shaver, P. (1987). Romantic love conceptualized as an attachment process. ''Journal of Personality and Social Psychology'', ''52''(3), 511-524. https://doi.org/10.1037/0022-3514.52.3.511 Holt-Lunstad, J., Smith, T. B., & Layton, J. B. (2010). Social relationships and mortality risk: A meta-analytic review. ''PLoS Medicine'', ''7''(7), e1000316. https://doi.org/10.1371/journal.pmed.1000316 Jang, H., Reeve, J., Ryan, R. M., & Kim, A. (2009). Can self-determination theory explain what underlies the productive, satisfying learning experiences of collectivistically oriented Korean students? ''Journal of Educational Psychology'', ''101''(4). https://doi.org/10.1037/a0014241 Juffer, J. (2020). The Steven Universe, where you are an experience. In ''Don't use your words!'' New York University Press. https://doi.org/10.18574/nyu/9781479831746.003.0007 Maglia, M. G., Lanzafame, I., Quattropani, M. C. A., & Caponnetto, P. (2023). Love addiction - Current diagnostic and therapeutic paradigms in clinical psychology. ''Health Psychology Research''. https://doi.org/10.52965/001c.70218 Maslow, A. H. (1943). A theory of human motivation. ''Psychological Review, 50''(4), 370-396. https://doi.org/10.1037/h0054346 Messina, I., Calvo, V., & Grecucci, A. (2024). Attachment orientations and emotion regulation: New insights from the study of interpersonal emotion regulation strategies. ''Research in Psychotherapy: Psychopathology, Process and Outcome''. https://doi.org/10.4081/ripppo.2023.703 Qadir, N. A., & Sethi, A. (2026). Factors affecting belongingness of Occupational Therapists in an Interprofessional Clinical Environment. ''Pakistan Journal of Medical Sciences'', ''42''(5), 1100-1104. https://doi.org/10.12669/pjms.42.5.13539  Rhoades, G. K., Kamp Dush, C. M., Atkins, D. C., Stanley, S. M., & Markman, H. J. (2011). Breaking up is hard to do: The impact of unmarried relationship dissolution on mental health and life satisfaction. ''Journal of Family Psychology'', ''25''(3), 366-374.  https://doi.org/10.1037/a0023627 Ryan, R. M., & Deci, E. L. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. ''American Psychologist, 55''(1), 68-79. https://doi.org/10.1037/0003-066x.55.1.68 Sheldon, K. M., Elliot, A. J., Kim, Y., & Kasser, T. (2001). What is satisfying about satisfying events? Testing 10 candidate psychological needs. ''Journal of Personality and Social Psychology'', ''80''(2), 325-339. https://doi.org/10.1037/0022-3514.80.2.325  Sprecher, S., Felmlee, D., Metts, S., Fehr, B., & Vanni, D. (1998). Factors associated with distress following the breakup of a close relationship. ''Journal of Social and Personal Relationships'', ''15''(6). https://doi.org/10.1177/0265407598156005  Vansteenkiste, M., & Ryan, R. M. (2013). On psychological growth and vulnerability: Basic psychological need satisfaction and need frustration as a unifying principle. ''Journal of Psychotherapy Integration'', ''23''(2). https://doi.org/10.1037/a0032359 Waters, E., Merrick, S., Treboux, D., Crowell, J., & Albersheim, L. (2000). Attachment security in infancy and early adulthood: A twenty-year longitudinal study. ''Child Development'', ''71''(3). https://doi.org/10.1111/1467-8624.00176  Weinberg, H. L. (2005). The effective time-binder and Maslow's "self-actualizing person". ''ETC: A Review of General Semantics''. Whipple, J. (2026). Steven Universe & the phenomenon of family [Conference paper]. https://doi.org/10.20429/gs4.2026.034 Xu, X., Aron, A., Brown, L., Cao, G., Feng, T., & Weng, X. (2010). Reward and motivation systems: A brain mapping study of early-stage intense romantic love in Chinese participants. ''Human Brain Mapping'', ''31''(7). https://doi.org/10.1002/hbm.21017  Zhang, X., Li, J., Xie, F., Chen, X., Xu, W., & Hudson, N. W. (2022). The relationship between adult attachment and mental health: A meta-analysis. ''Journal of Personality and Social Psychology''. https://doi.org/10.1037/pspp0000437  }} ==External links== * [https://www.portrait.gov.au/exhibitions/australian-love-stories-2020 Australian Love Stories] (National Portrait Gallery) * [https://youtu.be/qAHz7FJZfpA?si=jMcC4A-32L6SZqRC Behind the Backrooms - An On Set Interview w/ Kane Parsons] (YouTube) * [https://www.unitedfamilies.org/parents/child-development/love-the-greatest-motivation-to-change/ Love: The Greatest Motivation to Change] (unitiedfamilies.org) * [https://www.youtube.com/watch?v=4BvlBoZsV_I The Key to Writing Criminally Good Relationships | Video Essay] (YouTube) * [https://www.psychologytoday.com/au/blog/the-psychology-of-relationships/202507/find-your-dating-why-6-key-motivations-for-seeking-love Our 6 Motivations for Seeking Love] (Psychology Today) * [https://open.spotify.com/track/5UOXwSPgkkOf8Ba9ehmDgu?autoplay_ok=1 Peace and Love on the Planet Earth - Steven Universe, Vol. 1 (Original Soundtrack)] (Spotify) * [https://open.spotify.com/track/42WQZAqPJOlLvg2Jr6lv8K You're My Best Friend - Queen] (Spotify) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Love]] [[Category:Motivation and emotion/Book/Needs/Relatedness]] 350njykasp4rz4lnhkmr2eyogq7i2ds 0 331100 2844263 2843336 2026-11-03T17:09:30Z ShakespeareFan00 6645 2844263 wikitext text/x-wiki {{title|Emotional intelligence:<br>How does emotional intelligence affect emotional wellbeing?}} __TOC__ == Overview == {{RoundBoxTop|theme=3}} [[File:Sophie emotional regulation scenario.png|thumb|'''Figure 1.''' A university student pausing to regulate her emotions after receiving a disappointing grade]] '''Scenario''' Imagine Sophie, a university student managing several assessments and conflict with a close friend. After receiving a disappointing mark, she feels frustrated, embarrassed, and overwhelmed. Rather than reacting immediately, she recognises her emotions, takes time to regulate them, and later talks calmly with her friend. Another student in the same situation might become overwhelmed or react impulsively. Why might people respond differently to similar emotional situations? One explanation involves '''emotional intelligence''', the ability to perceive, understand, use, and regulate emotions. EI may influence how people interpret and respond to emotional experiences and, consequently, their emotional wellbeing. Emotional wellbeing involves more than experiencing positive emotions or avoiding negative ones; it also concerns how people experience and manage emotions. Understanding the relationship between EI and wellbeing can help explain which emotional abilities may support wellbeing, which components are particularly important, and the psychological processes underlying this relationship. {{RoundBoxTop}} ; Focus questions * What are emotional intelligence and emotional wellbeing? * What is the relationship between emotional intelligence and emotional wellbeing? * How does emotional intelligence influence emotional wellbeing? * Which components of emotional intelligence are particularly important for emotional wellbeing? * How can emotional intelligence be developed to support emotional wellbeing? {{RoundBoxBottom}} {{RoundBoxBottom}} == What are emotional intelligence and emotional wellbeing? == Emotional intelligence can play an important role in how people recognise, understand, and regulate their emotions {{f}}. These emotional abilities may influence how people cope with difficult experiences and support their overall emotional wellbeing {{f}}. However, EI is a complex construct, and different emotional abilities may contribute to wellbeing in different ways {{f}}. Before examining this relationship, it is important to understand what psychologists mean by emotional intelligence and emotional wellbeing. One influential approach to emotional intelligence is Mayer and Salovey's {{f}} ability model, which describes emotional intelligence through four related abilities: perceiving emotions, using emotions to support thinking, understanding emotions, and managing emotions see Figure 1 {{g}}. An important practical question is whether emotional abilities can be developed and whether improving them leads to better wellbeing {{ic|not relevant to this section}}. [[File:Model of emotional intelligence.png|thumb|'''Figure 2.''' Mayer and Salovey's Emotional Intelligence model |359x359px]] === Defining emotional wellbeing === Emotional wellbeing refers to people's emotional experiences and evaluations of their lives {{f}}. Psychological research {{f}} distinguishes between hedonic and eudaimonic wellbeing. Hedonic wellbeing focuses on pleasure, enjoyment, and comfort, whereas eudaimonic wellbeing emphasises personal growth, meaning, and authenticity (Huta & Waterman, 2014). Both approaches contribute to understanding wellbeing, although researchers differ in their definitions and measurements. Emotional wellbeing does not mean feeling positive all the time {{f}}. Negative emotions such as sadness, anger, and anxiety are normal responses to challenges {{f}}. Chen et al. (2023) explain that adaptive stress responses help people cope with stressful situations, whereas maladaptive responses increase the risk of stress-related difficulties. Thus, wellbeing involves not only positive emotions but also how individuals respond to challenges. Seligman's PERMA model identifies five elements of flourishing: positive emotion, engagement, relationships, meaning, and accomplishment (Al-Hendawi et al., 2024). Unlike approaches focusing primarily on emotional experiences, PERMA considers broader aspects of a fulfilling life (see Figure 2). [[File:ChatGPT Image Sep 26, 2026, 01 48 17 PM.png|thumb|335x335px|'''Figure 3.''' ''Seligman's PERMA model of wellbeing, consisting of positive emotion, engagement, relationships, meaning, and accomplishment.'']] <quiz display="simple"> Which statement best describes emotional intelligence? |type="()"} + The ability to perceive, understand, use, and manage emotions. - The ability to avoid experiencing negative emotions. - The ability to remain happy in all situations. - The ability to control the emotions of other people. } </quiz> <quiz display="simple"> What does emotion regulation involve? |type="()"} + Managing how we experience and respond to emotions. - Avoiding all negative emotions. - Staying positive in stressful situations. - Ignoring emotions until they disappear. } </quiz> === Trait emotional intelligence === Trait EI focuses on how people perceive their own emotional abilities and tendencies rather than how they perform on an objective test {{f}}. It is usually measured through self-report questionnaires that assess how people typically recognise, understand, and manage emotions {{f}}. In contrast, performance-based tests assess emotional abilities through emotion-related tasks {{f}}. Chapman (2005) explains that trait EI is more closely related to personality, whereas ability EI is more closely associated with cognitive abilities. Performance-based measures, such as the Multifactor Emotional Intelligence Scale and Mayer-Salovey-Caruso Emotional Intelligence Test, assess responses using scoring criteria {{f}}. However, determining a correct emotional response can be difficult because emotional situations may be interpreted differently. Expert scoring {{huh}} relies on selected experts, while consensus scoring {{huh}} reflects the responses of a reference group (Chapman, 2005). Trait EI avoids this scoring issue by focusing on people's perceptions of their emotional abilities. Common self-report measures include the Trait Meta-Mood Scale and the 33-item Schutte Self-Report Inventory of Emotional Intelligence (Chapman, 2005). However, people's perceptions of their emotional abilities may not always reflect their actual performance {{f}}. This distinction is important when examining emotional wellbeing. Someone may believe they manage emotions effectively even when their behaviour suggests otherwise. Trait EI and wellbeing are also often measured using self-report questionnaires, which may influence the strength of the relationship observed between them (Sánchez-Álvarez et al., 2016). == What is the relationship between emotional intelligence and emotional wellbeing? == {{expand}} === Emotional intelligence and positive wellbeing === Research generally suggests that people with higher EI report greater subjective wellbeing {{f}}. A meta-analysis of 25 studies involving more than 8,500 participants found a moderate positive association between EI and subjective wellbeing ''r'' = .32 {{g}} (Sánchez-Álvarez et al., 2016). This indicates that higher EI tends to be associated with greater subjective wellbeing, although the relationship is moderate rather than strong. Importantly, the strength of the relationship depended on how EI was measured. The association was stronger for self-report measures that incorporated emotional and personality-related characteristics (''r'' = .38) than for performance-based measures (''r'' = .22). EI also showed a somewhat stronger relationship with life satisfaction (''r'' = .35) than with emotional experiences (''r'' = .29). These findings demonstrate why the way EI and wellbeing are defined and measured matters when interpreting their relationship (Sánchez-Álvarez et al., 2016). However, these findings do not demonstrate that EI causes greater happiness or life satisfaction. People who already experience greater wellbeing may find it easier to perceive or manage emotions, while other characteristics, including personality, could potentially contribute to both EI and wellbeing. === Emotional intelligence and negative wellbeing === EI has also been examined in relation to psychological distress and other negative outcomes. Martins et al. (2010) found {{how}} that higher EI was associated with better health outcomes, including aspects of mental health. Research has also examined relationships between emotional abilities, emotion regulation, and symptoms of depression (Fernández-Berrocal & Extremera, 2016). Importantly, higher EI does not mean that someone will never experience negative emotions. Instead, emotional abilities may influence how people understand and respond to difficult emotions when they occur. Sophie's emotional abilities, for example, do not prevent her from feeling disappointed about her grade. They may instead help her recognise the emotion and choose how to respond to it. === Trait and ability emotional intelligence === Trait EI tends to show stronger associations with wellbeing than ability EI, which is typically assessed using performance-based measures. One possible explanation is that trait EI and wellbeing are often both assessed using self-report questionnaires. Similar measurement methods can contribute to stronger observed relationships between constructs. {{f}} Self-report measures also assess people's perceptions of their emotional abilities, which may not always correspond with their performance on emotional ability tasks. This makes the way EI is measured particularly important when interpreting its relationship with wellbeing {{f}} === '''What does the evidence tell us?''' === Overall, research suggests that higher EI is linked to greater subjective wellbeing and lower psychological distress {{f}}. However, the strength of this relationship varies depending on how EI is defined and measured (Martins et al., 2010; Sánchez-Álvarez et al., 2016). However, an association between EI and wellbeing does not demonstrate that EI directly causes better wellbeing. Much of this research is correlational, meaning the direction of the relationship cannot necessarily be established and other factors may contribute to both constructs. Differences between EI models and measurement approaches further complicate interpretation. Therefore, the evidence supports a relationship between EI and wellbeing, but stronger causal conclusions require research capable of examining whether changes in EI actually produce changes in wellbeing. Finding an association also does not explain how EI and wellbeing are connected. Emotional awareness, emotional understanding, emotion regulation, coping with stress, and social relationships may provide possible pathways through which EI is associated with emotional wellbeing. == How does emotional intelligence influence emotional wellbeing? == {{expand}} === Emotional awareness and perception === The relationship between emotional intelligence and wellbeing may be explained by several psychological processes. Emotional intelligence may help people recognise what they are feeling, understand why those emotions have occurred, regulate difficult emotional responses, and cope more effectively with stressful situations. It may also support communication and relationships with others. Rather than working separately, these processes are likely to interact and may help explain why people with higher emotional intelligence often report greater wellbeing. {{f}} === Emotional awareness and perception === Recognising emotions is an important first step in responding to them effectively. Being able to identify whether a person is feeling anxious, angry, disappointed, or overwhelmed can provide useful information about what is happening and what they may need to do next. For example, recognising feelings of anxiety before an assessment may help a student identify the source of their stress and decide whether they need to prepare further, seek support, or use a strategy to manage their anxiety. {{f}} Difficulty recognising emotions may make it harder to respond appropriately. A person who interprets anxiety as anger, for example, may react to a situation differently than someone who accurately understands what they are experiencing. Emotional awareness alone does not guarantee good emotional wellbeing, but it may provide the information needed for later processes such as emotional understanding, regulation, and coping (Lane & Smith, 2021). {{RoundBoxTop|theme=3}}💡 Tip When you experience a strong emotion, try identifying exactly what you are feeling rather than simply describing it as “good” or “bad.” For example, you might recognise that you are disappointed rather than embarrassed, or anxious rather than angry. This ability to identify emotions more precisely, known as emotional granularity, can help build emotional awareness and guide how you respond. {{RoundBoxBottom}} === Understanding emotions === Emotional intelligence also involves understanding why emotions occur and how they may change over time. Emotional experiences are not always simple, and people can experience several emotions at once. Someone receiving critical feedback, for example, might simultaneously feel disappointed, embarrassed, and motivated to improve. {{f}} Understanding the causes and possible consequences of these emotions may help people choose more appropriate responses. Instead of immediately reacting to disappointment, a person who understands where the feeling comes from may be better able to consider the situation before deciding what to do (Tzieropoulos et al., 2011). Emotional understanding may therefore contribute to wellbeing indirectly by supporting more effective emotion regulation and coping. === Emotion regulation === Emotion regulation refers to how people influence their emotional experiences and responses. Rather than eliminating negative emotions, regulation can involve changing how a situation is interpreted or choosing how to respond. Different strategies may have different consequences for wellbeing. Cognitive reappraisal changes the interpretation of a situation to alter its emotional impact, however suppression reduces emotional expression without necessarily changing the underlying experience. Emotional intelligence may help people select appropriate regulation strategies, potentially explaining its relationship with wellbeing (MacCann et al., 2026). However, further evidence is needed to determine whether emotion regulation actually mediates the relationship between emotional intelligence and wellbeing. === Coping with stress === Emotional intelligence may also influence how people respond to stressful experiences. Stress can produce difficult emotional responses such as tension, worry, and feelings of being overwhelmed. Chen et al. (2023) distinguish between adaptive responses that help people cope with or adjust to stressors and maladaptive responses that may interfere with functioning and increase the risk of stress-related difficulties. Emotional skills may be useful during this process because recognising and understanding an emotional response can help a person decide how to cope with the situation. Effective coping does not necessarily remove the stressor, particularly when a situation cannot be changed. Instead, people may need to adjust their response to it. Emotion regulation has also been identified {{f}} as a resilience-related factor, further demonstrating the connection between emotional processes and responses to stress. === Social relationships and support === Emotional intelligence may also contribute to wellbeing through relationships with other people. Recognising another person's emotions can make it easier to understand their perspective, communicate appropriately, and respond to interpersonal difficulties. Managing one's own emotional responses may also be important during disagreements or emotionally challenging conversations. {{f}} These abilities could support stronger relationships and access to social support, providing another possible pathway between emotional intelligence and wellbeing. However, being able to recognise another person's emotions does not automatically lead to supportive or prosocial behaviour (Hidalgo-Fuentes et al., 2024). Emotional abilities describe how effectively emotional information is processed, rather than whether that information will always be used positively. Emotional intelligence may contribute to emotional wellbeing through several interacting processes, including emotional awareness, emotional understanding, emotion regulation, coping with stress, and social functioning. These processes may influence one another rather than occurring in a simple step-by-step sequence. {{f}} == Which components of emotional intelligence are particularly important for emotional wellbeing? == [[File:Emotional Intelligence and Wellbeing Map (1).png|thumb|383x383px|'''Figure 4.''' Key components of emotional intelligence and their contribution to emotional wellbeing.]] Mayer and Salovey's (1997) model identifies four emotional intelligence components: emotion perception, use, understanding, and management. These abilities may contribute differently to emotional wellbeing. Figure 4 illustrates how emotional intelligence skills may support positive emotions, stress management, life satisfaction, and emotional stability. === Emotion perception === Emotion perception involves accurately recognising emotions in oneself and other people. This ability may contribute to wellbeing by helping individuals identify their emotional state and recognise emotional information in social situations. However, recognising an emotion does not necessarily mean that a person knows how to respond to it. Someone may accurately recognise that they are angry, for example, while still responding impulsively. Emotion perception may therefore provide an important foundation for emotional functioning without being sufficient on its own to support wellbeing (Carfagno, 2020). === '''Using emotions''' === Using emotions involves drawing on emotional information to support thinking, attention, judgement, and decision-making. Different emotional states can influence what people notice and how they approach a problem. Being able to use this information may therefore help individuals adapt their thinking to different situations. However, the relevance of this component to emotional wellbeing needs to be established through research rather than assumed (Blasco-Belled et al., 2019). Compared with emotion management, for example, using emotions may have a less direct connection with how people cope with distress or regulate difficult emotional experiences {{f}}. === Emotion understanding === Emotion understanding involves recognising the causes of emotions, distinguishing between related emotional states, and understanding how emotions can change or combine. This ability may help people make sense of complicated emotional experiences and anticipate how feelings might develop. Understanding an emotion may also make it easier to choose an appropriate coping or regulation strategy. However, as with emotion perception, understanding an emotion does not guarantee that it will be managed effectively. Research comparing the different branches of emotional intelligence is therefore needed to determine whether emotional understanding has an independent relationship with wellbeing or primarily contributes through other emotional processes (Antonopoulou, 2024). === Emotion regulation and management === Emotion management may have a particularly direct connection with emotional wellbeing because it concerns how people respond to and regulate emotional experiences. Effective regulation could help people manage distress, maintain positive emotional functioning, and recover from stressful experiences. This does not mean eliminating negative emotions, but responding to them in ways that are appropriate to the situation. {{f}} However, emotion management should not automatically be considered the most important component of emotional intelligence. Its relative importance needs to be established by studies that compare it directly with perception, use, and understanding of emotions. Differences in how emotional intelligence and wellbeing are measured may also affect which component appears most strongly related to wellbeing (Blasco-Belled et al., 2019). === Comparing the components === Overall, the four emotional abilities may contribute to wellbeing in different but connected ways. Perception provides information about emotional states, understanding helps make sense of that information, using emotions may support thinking and decision-making, and management concerns how emotional experiences are handled. Rather than functioning independently, these abilities may work together. {{f}} Determining whether one component is particularly important requires direct comparisons across the four branches. Evidence that emotion management is associated with wellbeing would not, by itself, demonstrate that it is more important than the other components. Differences between ability-based and self-report measures should also be considered when interpreting these findings. {{f}} <quiz display="simple"> Which statement best describes how the components of emotional intelligence relate to wellbeing? |type="()"} + Different EI components may contribute to wellbeing in different but connected ways. - Emotion management is always the most important component for wellbeing. - Emotion perception alone is enough to support emotional wellbeing. - All EI components affect wellbeing in exactly the same way. } </quiz> <quiz display="simple"> Why might recognising an emotion not be enough to support wellbeing? |type="()"} + A person may recognise an emotion but still respond to it poorly. - Recognising emotions prevents people from regulating them. - Emotion perception only involves recognising other people's emotions. - Recognising emotions automatically removes negative feelings. } </quiz> '''Table 1.''' ''Emotional intelligence components and wellbeing'' {| class="wikitable" !EI component !What it involves !Relevance to wellbeing |- |'''Emotion perception''' |Recognising emotions |Supports emotional awareness |- |'''Using emotions''' |Using emotions to guide thinking |Supports attention and judgement |- |'''Emotion understanding''' |Understanding causes and changes in emotions |Supports understanding and responding |- |'''Emotion management''' |Regulating emotional responses |Supports coping and emotional functioning |} == How can emotional intelligence be developed to support emotional wellbeing? == If emotional intelligence contributes to wellbeing, an important practical question is whether these emotional abilities can be developed. Emotional intelligence interventions have attempted to improve skills such as emotional awareness, understanding emotions, emotion regulation, and interpersonal communication. However, evidence that EI can be improved does not necessarily mean that increasing EI will automatically improve emotional wellbeing. === Can emotional intelligence be developed? === Emotional intelligence is not necessarily a completely fixed characteristic. Training programs have attempted to develop emotional abilities through education, practice, feedback, and exercises focused on recognising and managing emotions {{f}}. However, the effectiveness of training may depend on how emotional intelligence is conceptualised and measured. Changes in self-reported EI, for example, may indicate that people feel more confident in their emotional abilities without necessarily demonstrating equivalent improvements on performance-based measures. Research evaluating EI interventions is therefore important for determining whether emotional abilities can genuinely be improved and whether any improvements continue after training has ended (Hodzic et al., 2017). === Emotional intelligence interventions === EI interventions may target several skills rather than emotional intelligence as a single ability. Activities can focus on recognising emotional cues, developing emotional vocabulary, understanding emotional triggers, considering other people's perspectives, practising emotion-regulation strategies, and improving emotional communication. {{f}} These approaches are particularly relevant to emotional wellbeing if improvements in emotional skills help people respond more effectively to stress and difficult emotional experiences. However, intervention studies need to examine more than whether EI scores increase. They should also assess whether changes are accompanied by meaningful improvements in wellbeing. === Do improvements in emotional intelligence improve wellbeing? === An important distinction is whether EI training improves emotional intelligence itself and whether those improvements subsequently lead to better wellbeing. An intervention could increase participants' knowledge about emotions without meaningfully changing their happiness, life satisfaction, stress, or emotional functioning. Evidence that an intervention improves both EI and wellbeing would provide stronger support for a possible causal relationship than correlational studies showing that the two are associated. Even then, researchers need to consider whether improvements are maintained over time and whether changes in wellbeing are actually explained by increased emotional intelligence (Hodzic et al., 2018; Nadler et al., 2020). === Limitations and practical implications === Although EI training may have practical value, its potential benefits should not be overstated. Emotional wellbeing is influenced by many personal, social, and environmental factors, and improving emotional skills cannot remove every source of stress or psychological difficulty. Differences between EI models, measurement methods, intervention designs, and participant groups can also make findings difficult to compare. ==Conclusion== Emotional wellbeing involves more than simply feeling happy or avoiding negative emotions. It also involves how people understand, respond to, and manage their emotional experiences. Overall, emotional intelligence may support emotional wellbeing by helping people recognise, understand, and regulate emotions and respond more effectively to stressful and interpersonal experiences. Research generally shows that higher EI is associated with better indicators of wellbeing, although the strength of this relationship varies depending on how EI and wellbeing are defined and measured. Importantly, emotional intelligence should not be viewed as a guarantee or universal cause of emotional wellbeing. Wellbeing is influenced by many factors, and emotionally intelligent people will still experience stress, disappointment, conflict, and other difficult emotions. Sophie's situation demonstrates this distinction. Her emotional abilities do not prevent her from feeling disappointed or overwhelmed; instead, they may help her recognise what she is experiencing, understand why she feels that way, regulate her response, and choose behaviours that better support her wellbeing ==See also == * [https://en.wikipedia.org/wiki/Subjective_well-being?wprov=srpw1_1 Subjective wellbeing] (Book chapter, 2026) * [[Motivation and emotion/Book/2011/Emotional intelligence|Emotional intelligence]] (Book chapter, 2011) * [[wikibooks:Foundations_of_Education_and_Instructional_Assessment/Effective_Teaching/Intelligence#Introduction_to_Emotional_Intelligence|How are all children smart?]] {{huh}} (Wikibooks) ==References== {{Hanging indent|1= Al-Hendawi, M., Alodat, A., Al-Zoubi, S., & Bulut, S. (2024). A PERMA model approach to well-being: A psychometric properties study. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-01909-0 Antonopoulou, H. (2024). The value of emotional intelligence: Self-awareness, self-regulation, motivation, and empathy as key components. Technium Education and Humanities. Blasco-Belled, A., Rogoza, R., Torrelles-Nadal, C., & Alsinet, C. (2020). Emotional intelligence structure and its relationship with life satisfaction and happiness: New findings from the bifactor model. Journal of Happiness Studies, 21(6), 2031–2049. https://doi.org/10.1007/s10902-019-00167-x Chapman, B. P. (2005). Emotional intelligence at mid life: A cross sectional investigation of structural variance, social correlates, and relationship to established personality and ability taxonomies [Doctoral dissertation]. ProQuest Dissertations & Theses Global. Chen, C., Kotozaki, Y., Okubo, R., & Nakagawa, S. (2023). Editorial: New insights into stress coping and resilience. Frontiers in Psychology. Hidalgo-Fuentes, S., Martínez-Álvarez, I., Sospedra-Baeza, M. J., Martí-Vilar, M., Merino-Soto, C., & Toledano-Toledano, F. (2024). Emotional intelligence and perceived social support: Its relationship with subjective well-being. Healthcare, 12(6), 634. https://doi.org/10.3390/healthcare12060634 Hodzic, S., Scharfen, J., Ripoll, P., Holling, H., & Zenasni, F. (2018). How efficient are emotional intelligence trainings: A meta-analysis. Emotion Review, 10(2), 138–148. https://doi.org/10.1177/1754073917708613 Huta, V., & Waterman, A. S. (2014). Eudaimonia and its distinction from hedonia: Developing a classification and terminology for understanding conceptual and operational definitions. Journal of Happiness Studies, 15(6), 1425–1456. https://doi.org/10.1007/s10902-013-9485-0 Lane, R. D., & Smith, R. (2021). Levels of emotional awareness: Theory and measurement of a socio-emotional skill. Journal of Intelligence, 9(3), 42. https://doi.org/10.3390/jintelligence9030042 MacCann, C., Double, K. S., & Clarke, I. E. (2022). Lower avoidant coping mediates the relationship of emotional intelligence with well-being and ill-being. Frontiers in Psychology, 13, 835819. https://doi.org/10.3389/fpsyg.2022.835819 Martins, A., Ramalho, N., & Morin, E. (2010). A comprehensive meta-analysis of the relationship between emotional intelligence and health. Personality and Individual Differences, 49(6), 554–564. https://doi.org/10.1016/j.paid.2010.05.029 Nadler, R., Carswell, J. J., & Minda, J. P. (2020). Online mindfulness training increases well-being, trait emotional intelligence, and workplace competency ratings: A randomized waitlist-controlled trial. Frontiers in Psychology, 11, 255. https://doi.org/10.3389/fpsyg.2020.00255 Sánchez-Álvarez, N., Extremera, N., & Fernández-Berrocal, P. (2016). The relation between emotional intelligence and subjective well-being: A meta-analytic investigation. The Journal of Positive Psychology, 11(3), 276–285. https://doi.org/10.1080/17439760.2015.1058968 Tzieropoulos, H., de Peralta, R. G., Bossaerts, P., & González Andino, S. L. (2011). The impact of disappointment in decision making: Inter-individual differences and electrical neuroimaging. Frontiers in Human Neuroscience, 4, 235. https://doi.org/10.3389/fnhum.2010.00235 }} ==External links== * [https://www.ted.com/talks/maximilian_park_emotional_intelligence_from_a_teenage_perspective Emotional Intelligence From a Teenage Perspective] * [https://rickhanson.com/being-well-podcast-emotional-intelligence-improving-self-awareness-self-regulation-and-empathy-2/ Being Well Podcast: Emotional Intelligence: Improving Self-Awareness, Self-Regulation, and Empathy] * [https://www.youtube.com/watch?v=4KbSRXP0wik Emotion, Stress, and Health: Crash Course Psychology #26] [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Emotional intelligence]] [[Category:Motivation and emotion/Book/Well-being]] l77jf72ezsupa4l49xx9pbwzqazgaf5 0 331106 2844342 2844059 2026-11-03T22:46:27Z Krok6kola 2508005 ([[c:GR|GR]]) [[c:COM:FR|File renamed]]: [[File:Ipm r and s.png]] → [[File:Intimacy process model.png]] [[c:COM:FR#FR3|Criterion 3]] (obvious error) 2844342 wikitext text/x-wiki {{title|Self-disclosure and emotional intimacy:<br>How does self-disclosure foster emotional closeness in relationships?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:Stockcouple.jpg|thumb|'''Figure 1'''. Image of couple hugging {{ic|Explain what this has to do with self-disclosure}/}]] ;Picture this... Jim and Pam (see Figure 1) have been dating for a few months; things have been going well but at times there is noticeable emotional distance between them. One night Jim tells Pam that “I haven’t talked to anyone about this, but I’m terrified one day you will get bored and leave”, {{g}} this confession opens the flood gates for Jim and Pam to share their deepest fears and anxieties. In this moment, an invisible barrier dissolves, they have discovered a new profound sense of trust and understanding. A new and deeper layer of their relationship has been unlocked; there is an emotional closeness that wasn’t there before. Why does this self-disclosure from Jim create this emotional closeness between him and Pam? {{RoundBoxBottom}} [[wikipedia:Self-disclosure|Self-disclosure]] is the voluntary process of sharing personal thoughts, feeling and information with another person. Self-disclosure is one of the most significant and effective ways to initiate and enhance relationship intimacy, and to maintain positive personal relationships (Forgas, 2011). Intimacy or intimate come from the Latin terms ''intimus'' meaning innermost, and ''intimare'' meaning to make the innermost known (Reis, 2018). [[wikipedia:Emotional_intimacy|Emotional intimacy]] refers to a shared sense of understanding, trust and closeness within an interpersonal relationship. This chapter discusses what both self-disclosure and emotional intimacy mean, and how self-disclosures can be encouraged and responded to, with reference to psychological theories and research. {{RoundBoxTop|theme=11}} ;Focus questions [[File:Crystal Clear app ktip.svg|left|20px|]] *What is the self-disclosure? *What is emotional intimacy and why is it important? *How can self-disclosure be fostered to improve emotional intimacy in relationships? {{RoundBoxBottom}} == Self-disclosure == Self-disclosure is defined as the process of divulging personal experiences, thoughts and feelings to others (Yu & Li, 2026). Self-disclosure has long been discussed and researched for its relationship to emotional intimacy {{f}}. According to the research, we tend to like people who disclose more, we disclose more to those we like, and when we disclose, we like those we disclosed to more afterwards (Utz, 2015) {{expand}}. === Social exchange theory (Thibaut & Kelley, 1959) === [[File:Costs vs rewards.png|thumb|247x247px|'''Figure 2.''' Social Exchange Theory, costs versus rewards {{g}}|right]] [[wikipedia:Social_exchange_theory|Social Exchange Theory]] is a psychological framework that states human behaviours and relationships work through a cost-benefit analysis (see Figure 2) {{f}}. This core concept can be applied to that of self-disclosure, in which individuals assess the potential rewards and risks of sharing personal information. In the case of self-disclosure, possible rewards or benefits of divulging personal information may be validation, emotional relief and enhanced closeness {{f}}. If we assess that these are likely outcomes of self-disclosing we are more likely to do so. In contrast, potential costs or risks of self-disclosure may be a loss of privacy, judgement or fear of rejection and in this circumstance we are much less likely to self disclose. Interpersonal relationships thrive when self-disclosure remains profitable or rewarding. {{f}} ==== Norm of reciprocity ==== Within Social Exchange Theory is the concept of the [[wikipedia:Norm_of_reciprocity|norm of reciprocity]] {{f}}. This entails the universal social expectation that people should return or repay favours, gifts and acts of kindness with similar treatment {{f}}. For example, if someone gifts you an expensive item for your birthday, you will likely feel an internal obligation to get them a similarly expensive item for their birthday. This norm enables smooth, equal and fair social exchanges (Burger et al., 2009). This concept is also applicable to self-disclosure, {{g}} research has shown that self-disclosure is reciprocal in existing relationships and in the context of strangers (Sprecher et al., 2013). Hence, reciprocal self-disclosure is the process where one person shares personal thoughts, feelings or information and the other person responds with similar personal details in return. === Social penetration theory (Altman & Taylor, 1973) === [[File:Bdspt.model.webp|'''Figure 3.''' Social Penetration Theory Model (Pecune, 2013).|alt=Figure 2. Social Penetration Theory Model (Pecune, 2013).|thumb|300x300px]] [[wikipedia:Social_penetration_theory|Social Penetration Theory]] is a social psychological model that explains how interpersonal relationships evolve from superficial or surface level interactions to deep emotional intimacy through self-disclosure {{f}}. Social Penetration Theory uses an onion model (see Figure 3) as a metaphor to describe how the social penetration process works, in which individuals "peel back" others layers of personal information through social interaction (self-disclosures) {{f}}. One aspect of Social Penetration Theory is the types of information shared, which is referred to as levels {{f}}. The first {{g}} being the Superficial level or in other words, surface level information which includes visible attributes. The second level is the Intimate or peripheral level information, which is information that people usually feel free to share in any general social situation, such as their name and where they are from. Personal or Intermediate level information is the third level, in which includes information that is not always readily shared but that is also not very private, such as values and goals. Lastly, the Core or central level information is regarded as highly private and is shared when someone feels close to the other person or believes they are very trustworthy (Manning, 2019). An example of Core level information may be one's insecurities or fears. This theory states that for interpersonal relationships to develop there must be information exchanged between those within the relationship. A significant aspect of the theory is that of [[wikipedia:Social_penetration_theory#Breadth_and_depth|breadth and depth]] {{f}}. Breadth refers to the number of topics discussed, whereas depth refers to the level of intimacy of these discussions. For example, breadth may include discussing hobbies, family, interests and depth may be discussing feelings surrounding family issues or future goals (Carpenter & Greene, 2016), depth discussions may increase intimacy levels {{why}} {{g}}. According to this {{what}} theory {{g}} self-disclosure passes through phases as an interpersonal relationship progresses, {{g}} these stages include orientation, exploratory affective exchange, affective exchange, stable exchange and in some cases depenetration (see Table 1). The first stage is orientation, in which individuals only share superficial level information. Exploratory affective exchange is the second stage, where individuals may share beyond superficial information and may increase the breadth of topics discussed. The third stage is affective exchange, which includes more casual self-disclosures, communication and information from deeper levels, this stage is often reached with close friends or romantic partners. Stable exchange is the fourth stage, in which communication is open and honest, self-disclosures are continuous, and there is breadth and depth throughout conversations. This stage is maintained with few relationships such as romantic partners, close family and friends. Finally, depenetration or dissolution is a possible stage, whereby self-disclosure is reduced as a result of conflict or stress (Carpenter & Greene, 2016). {| class="wikitable" |+Table 1. The five stages of social penetration {{fact}} and examples. !Five stages of social penetration !Examples: |- |Orientation |Small talk, adhering to social norms. |- |Exploratory affective exchange |Personal attitudes & preferences. |- |Affective exchange |Casual relaxed communication, honest opinions, deeper emotional disclosures. |- |Stable exchange |Continuous open connection, deep core values, emotional reactions are predictable, breadth and depth explored. |- |Depenetration |Optional phase, communication breadth & depth withdrawal. |} == Emotional intimacy & its importance == Emotional intimacy is a part of interpersonal relationships, defined as a shared sense of closeness, trust and mutual understanding. Emotional intimacy happens between individuals when they consistently show each other who they really are and respond to each other in ways that promote feelings of safety, security and understanding. Thus, emotional intimacy can be experienced in a variety of different kind of relationships including, romantic partners, friends and family members. {{f}} === The intimacy process model (Reis & Shaver, 1988) === Reis and Shaver (1988) argue that intimacy is a dynamic, moment to moment transactional and cyclical process. The intimacy process model shows how emotional intimacy builds through a cyclical interactive progression between two individuals. This model uses self-disclosure, responsiveness, and perceived responsiveness as core components of emotional intimacy development. [[File:Intimacy process model.png|thumb|420x420px|'''Figure 4.''' The intimacy process model (Reis & Shaver, 1988).|left]] In this model {{g}} an interaction occurs between two people A and B, or for this example we will use the names Annabel and Bridgette. The model shows a single interaction in which Annabel is self-disclosing and Bridgette is responding (see Figure 4), however in most situations both individuals would freely move between self-disclosing and responding. In this example, the intimacy process begins with Annabel. Annabel has some mixture of motives, goals or fears that results in a self disclosure, whereby Bridgette must respond. As the role of the responder Bridgette is influenced by a mixture of concerns, which can be positive or negative {{g}}. Bridgette may want to be a good friend or partner or on the other hand, Bridgette may fear commitment, feel that Annabel is dependent on them and so forth. Annabel may intend {{sp}} on one thing, where Bridgette may perceive another. As Bridgette interprets the disclosure and expressions from Annabel, a complex mixture of motives and goals is at work, {{g}} this is referred to as the interpretive filter. In this model {{g}} Reis and Shaver (1988) argue that Bridgette's response to Annabel's self-disclosure is just as important as Annabel's initial disclosure, and will determine whether the interaction will become emotionally intimate. Suitable responses will enhance feelings of connectedness between the individuals, and inappropriate responses or non-responsiveness will keep the individuals at a distance. However, what matters most is Annabel's interpretation and reaction to Bridgette's response, for example if Annabel interprets Bridgette's response as unsupportive or too intrusive, greater intimacy is unlikely to be achieved (Reis & Shaver, 1988). === The importance of emotional intimacy === Emotional intimacy is intrinsically gratifying, and involves feelings of safety, trust, understanding, validation, acceptance and overall feeling cared for {{f}}. Studies have found associations between emotional intimacy, communication and relationship satisfaction, such that partners' perception of their emotional intimacy predicts both their own relationship satisfaction as well as their partners (Yoo et al., 2014). Similarly, those with strong intimate relationships tend to have higher life satisfaction (Amati et al., 2018) and wellbeing (Greene et al., 2006). Overall, intimacy can result in reciprocal intimacy, mutual liking and relationship progress (Forgas, 2011). Emotional intimacy has been found to play a role in reducing stress responses (Phillips et al., 2009). It has also been found that loneliness and depression partly stem from a lack of emotional intimacy (Rokach & Ohiliber-Lignieres, 2015). This research highlights just how important emotional intimacy is in everyday life, therefore it is important to learn how to improve emotional intimacy. {{RoundBoxTop|theme=3}} ;Key points: [[File:Crystal Clear app ktip.svg|left|20px|]] *Intimacy is related to relationship and life satisfaction. *Emotional intimacy is related to higher wellbeing and reduced stress responses. *Emotional intimacy can facilitate reciprocal intimacy, mutual liking and relationship progression. {{RoundBoxBottom}} ==Fostering self-disclosure== Rewarding relationships are practically inconceivable without self-disclosure. Self-disclosure is important in initiating, maintaining and enhancing emotional intimacy within interpersonal relationships, which has been linked to relationship success and satisfaction, as well as improved mental health (Forgas, 2011). Therefore, learning to foster and encourage self-disclosure is essential for everyday life. === How to encourage & respond to self-disclosures === In order to encourage self-disclosures from others we must remember Social Exchange Theory (Thibaut & Kelley, 1959) and the cost-benefit analysis. If someone wanted to disclose something to you, think to yourself, would it be rewarding for them? Making a self-disclosure conversation rewarding can be done in a multitude of ways. Social cues such as enquiries of concern (asking if someone is okay for example) or initiating with a self-disclosure displays inviting cues to the other person to disclose (Greene et al., 2006). It has also been found that moods have an effect of self-disclosure, such that positive moods increase self-disclosure intimacy, abstractness and breadth, whereas negative moods reduce intimacy but improve reciprocity of self-disclosure (Forgas, 2011), in which is an important aspect to take into account. Additionally, adherence to the norm of reciprocity, in which you can respond with a similar self-disclosure. Similarly, the intimacy process model (Reis & Shaver, 1988) highlights the underlying cause of a self-disclosure as well as the importance of responsiveness to self-disclosures. It is helpful to remember that there is an underlying motive, goal, fear or reason for someone to self-disclose. In the case of responsiveness, High or good responsiveness is comprised of the content of the response (elaborating on or matching disclosure), the style of response (showing concern and care) as well as the timing of the response (immediate or delayed). However, it is extremely important to take into account boundaries and assess the appropriateness of the situation, such as the physical environment where the interaction is occurring (Greene et al., 2006). {{RoundBoxTop|theme=3}} ;Key points: [[File:Crystal Clear app ktip.svg|left|20px|]] How to encourage and respond to self-disclosure: *The cost-benefit analysis: make the interaction rewarding through listening and responsiveness. *Social cues: enquiries of concern and initiating self-disclosure. *The norm of reciprocity: use reciprocal self-disclosure. *Boundaries: assess the appropriateness of the situation. {{RoundBoxBottom}} ==Conclusion== Self-disclosure creates a sense of understanding, safety, and trust that is essential for emotionally intimate interpersonal relationships. This self-disclosure process is intrinsic and crucial to progress interpersonal relationships. Self-disclosure drives emotional intimacy by creating a loop of vulnerability, validation and mutual understanding. Emotional intimacy has effects on aspects of everyday life including on communication and relationship satisfaction, such that perception of emotional intimacy can predict both one's own relationship satisfaction as well as their partners. Strong emotionally intimate relationships tend to have higher life satisfaction and wellbeing. Additionally, intimacy can result in reciprocal intimacy, mutual liking and relationship progress. Emotional intimacy has also been found to play a role in reducing stress responses and a lack of emotional intimacy can play a role in loneliness and depression. Therefore, it is important to improve emotional intimacy through learning to foster and encourage self-disclosure. Self-disclosure can be fostered through social cues, making the interaction rewarding and validating, using the norm of reciprocity and taking responsiveness into account. {{RoundBoxTop|theme=11}} ;Take home messages [[File:Crystal Clear app ktip.svg|left|20px|]] *Self-disclosure is the process of divulging personal experiences, thoughts and feelings to others. *Emotional intimacy is a shared sense of closeness, trust and mutual understanding, that can have effects on life and relationship satisfaction, wellbeing, stress and loneliness. *Self-disclosure can be fostered to improve emotional intimacy in relationships through reciprocal self-disclosure, responsiveness, and social cues. {{RoundBoxBottom}} ==See also== * [[Motivation and emotion/Book/2026/Responsiveness and interpersonal trust|Responsiveness and interpersonal trust]] (Book chapter, 2026) * [[Motivation and emotion/Book/2025/Self-disclosure and well-being|Self-disclosure and well-being]] (Book chapter, 2025) * [[wikipedia:Social_exchange_theory|Social exchange theory]] (Wikipedia) * [[wikipedia:Social_penetration_theory|Social penetration theory]] (Wikipedia) ==References== {{Hanging indent|1= Altman, I., & Taylor, D. (1973). ''Social penetration: The development of interpersonal relationships''. Halsted Press. https://psycnet.apa.org/record/1973-28661-000 Amati, V., Meggiolaro, S., Rivellini, G., & Zaccarin. (2018). Social relations and life satisfaction: the role of friends. ''Genus, 74''(7). 1-18. https://doi.org/10.1186/s41118-018-0032-z Burger, J. M., Sanches, J., Imberi, J. E., & Grande L. R. (2009). The norm of reciprocity as an internalized social norm: Returning favors even when no one finds out. ''Social Influence, 4''(1). 11-17. https://doi.org/10.1080/15534510802131004 Carpenter, A., & Greene, K. (2016). Social penetration theory. In C. R. Berger & M. E. Roloff (Eds.), ''The International Encyclopedia of Interpersonal Communication'' (1st ed., pp. 1-4). John Wiley & Sons. https://doi.org/10.1002/9781118540190.wbeic0160 Derlega, V. J., Winstead, B. A., & Greene, K. (2008). Self-disclosure and starting a close relationship. In S. Sprecher, A. Wenzel, & J. Harvey (Eds.), ''Handbook of relationship initiation''. Psychology Press. 53–174. https://psycnet.apa.org/record/2008-09972-008 Forgas, J. P. (2011). Affective influences on self-disclosure: Mood effects on the intimacy and reciprocity of disclosing personal information. ''Journal of Personality and Social Psychology, 100''(3). 449-461. https://doi.org/10.1037/a0021129 Greene, K., Derlega, V. J., & Mathews, A. (2006). Self-disclosure in personal relationships. In A. L. Vangelisti & D. Perlman (Eds.), ''The Cambridge handbook of personal relationships.'' (pp. 409-427). Cambridge University Press. https://doi.org/10.1017/CBO9780511606632.023 Manning, J. (2019). Thinking about interpersonal relationships and social penetration theory: Is it the same for lesbian, gay or bisexual people? In C. J. Liberman, A. S. Rancer & T. A. Avtgis (Eds.), ''Casing Communication Theory'' (pp. 293-306). Kendall Hunt Publishing Company. Pecune, F. (2013). Toward a computational model of social relations for artificial companions. ''Proceedings - 2013 Humaine Association Conference on Affective Computing and Intelligent Interaction''. 677-682. [https://www.researchgate.net/publication/261271664%20Toward%20a%20Computational%20Model%20of%20Social%20Relations%20for%20Artificial%20Companions DOI:10.1109/ACII.2013.118] Phillips, A., Gallagher, S., & Carroll, D. (2009) Social support, social intimacy, and cardiovascular reactions to acute psychological stress. ''Annals of Behavioural Medicine, 37''. 38-45. http://dx.doi.org/10.1007/s12160-008-9077-0 Reis, H. T. (2018). Intimacy as an interpersonal process. In H. T. Reis (Ed.), ''Relationships, Well-Being and Behaviour: Selected works of Harry T. Reis'' (pp. 209-244). Routledge. https://doi.org/10.4324/9780203732496 Reis, H. T., & Shaver, P. (1988). Intimacy as an interpersonal process. In S. Duck, D. H. Fay, J. K. Simpson, & J. C. Murray (Eds.), ''Handbook of personal relationships: Theory, research and applications'' (p. 367–389). John Wiley & Sons. Rokach, A., & Philibert-Lignieres, G. (2015). Intimacy, loneliness & infidelity. ''The Open Psychology Journal, 8''. 71-77. DOI: 10.2174/1874350101508010071 Sprecher, S., Treger, S., Wondra, J. D., Hilaire, N., & Wallpe, K. (2013). Taking turns: Reciprocal self-disclosure promotes liking in initial interactions. ''Journal of Experimental Social Psychology, 49''(5). 860-866. https://doi.org/10.1016/j.jesp.2013.03.017. Tolstedt, B. E., & Stokes, J. P. (1984). Self-disclosure, intimacy, and the depenetration process. ''Journal of Personality and Social Psychology, 46''(1). 84-90. https://doi.org/10.1037/0022-3514.46.1.84 Utz, S. (2015). The function of self-disclosure on social network sites: Not only intimate, but also positive and entertaining self-disclosures increase the feeling of connection. ''Computers in Human Behaviour, 45''. 1-10. https://doi.org/10.1016/j.chb.2014.11.076. Yoo, H., Bartle-Haring, S., Day. R., & Gangamma, R. (2014). Couple communication, emotional and sexual intimacy, and relationship satisfaction. ''Journal of Sex & Marital Therapy, 40''(4), 275-293. https://doi.org/10.1080/0092623X.2012.751072 Yu, Y., & Li, W. (2026). A fNIRS hyperscanning study on enhancing intimacy through emotional self-disclosure from the disclosure-responder perspective. ''BMC Psychology, 14''. https://doi.org/10.1186/s40359-026-04257-3 }} ==External links== * [https://www.youtube.com/watch?v=Z4bRXozREKU&t=90s Self-disclosure in personal relationships: How to stop oversharing] (youtube.com) * [https://www.psychologytoday.com/au/blog/between-the-sheets/202011/why-romantic-intimacy-requires-self-disclosure Why romantic intimacy requires self-disclosure] (psychologytoday.com) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Relationships]] 4o1g6a4bctmm4okmu9ymsjkwyyf5uc6 0 331111 2844305 2843677 2026-11-03T21:22:31Z U3143751 3106785 Included answers to focus questions 2844305 wikitext text/x-wiki {{title|Empathy fatigue and emotional exhaustion:<br>How does sustained empathic engagement contribute to emotional exhaustion?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:Exhausted smartphone user.JPG|right|thumb|150px|'''Figure 1'''. An emotionally exhausted Aelin at the end of the work day]] ; Scenario Aelin, a 23-year-old social worker employed at headspace {{ic|Link to the Wikipedia article to help explain what this term means}}, works with approximately 20 {{ic|Explain what sort of}}Imagine you are only 23 years old and are working as a social worker at headspace. You see around 20 clients each week, many of whom have experienced rough living conditions. During your first six months in this role, you felt highly motivated and excited to help people in need. You are an excellent active listener and can easily remember details about your clients Live’s. You are also good at recognising signs of distress in your client’s body language and adjust yours in order to show warmth and understanding. As you progress in your role, you take on more cases that involve complex past traumas. The workload becomes too much for you to get done at work, but you don’t want your clients to miss out, so you take your work home to complete it in the evenings. Your workload increases again and you now start doing work on your weekends as well. After several months of working this way, you start to notice you feel exhausted every morning before you have even started work. You then start to notice you’re responding to people at work differently. Instead of your usual energised active listening response you feel frustrated, empathetic and detached. After work you are too drained to socialise with friends. This begins to worry you. What if you won’t be able to continue working as a social worker? {{RoundBoxBottom}} Aelin is experiencing '''emotional exhaustion''' from a sustained empathic response. Due to the nature of Aelin's work, they are constantly engaged in an empathic response. Empathic responses require cognitive and physical resources to sustain. Because Aelin is taking their work home and not resting on weekends, they do not have a chance to rest. It is important for Aelin to recognise what is happening and why. Not actioning the problem has led to empathy fatigue and emotional exhaustion. Emotional exhaustion is one of the key aspects of [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FEmpathy_fatigue_and_emotional_exhaustion&diff=2840411&oldid=2832859 burnout], a long-term condition of existing in a constant state of high stress. Psychological science can support Aelin in recognising and mapping the symptoms they are experiencing, understand coping strategies to minimise the current and future effects to improve their wellbeing. Understanding the symptoms will also support their role as a social worker, providing more tools for the people they support on a day-to-day basis. {{RoundBoxTop|theme=3}} '''Focus questions''' * Why do people become emotionally exhausted? * What is the relationship between empathy fatigue and emotional exhaustion? * What role does emotional labor play in emotional exhaustion? * How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion? {{RoundBoxBottom}} == Emotional exhaustion == To understand emotional exhaustion, it will be important to first understand burnout. Burnout is a long-term condition of existing in a constant state of high stress and affects millions of people annually. In the early 2000s, a survey from Australia found that more than 50% of social workers and occupational workers reported high levels of burnout symptoms (Llyod and King, 2004) and a recent report from 2026 found that more than one third of all workers in Australia were experiencing burnout (Chan, 2026). Being in a state of high stress for short periods of time is a useful adaptation for humans, so much so that it has been given a name, [[wikipedia:Eustress|Eustress]]. However, as a long-term condition it leads to individual health issues and can be linked to cardiovascular disease, increased vulnerability to upper respiratory diseases, and chronic inflammation (Schneiderman et al., 2005), and cognitive issues such as [[wikipedia:Inattentional_blindness|cognitive tunneling]] and impaired selective attention (Pooladvand and Hasanzadeh, 2023). Burnout can be defined across three dimensions: emotional exhaustion, [[wikipedia:Depersonalization|depersonalisation]], and reduced feelings of personal accomplishment (Maslach, 1993, as cited in Martingano et al., 2026). Emotional exhaustion may be considered the 'core' component of burnout and refers to the depletion of emotional resources, leading to feelings of overwhelm, overextension, and exhaustion (Martingano et al., 2026; De Beer et al., 2024; Seidler et al., 2014). As a major factor, its symptoms are similar to burnout and stress. Although antecedents of burnout are typically agreed upon (Bakker et al., 2014) and divided into individual (e.g. self-efficacy) and situational categories (e.g. work load), there are many theories that attempt to explain why emotional exhaustion occurs. Two of these theories with good evidence are the [[wikipedia:Conservation_of_resources_theory|Conservation of resources stress model]] (Hobfoll, 1989) and the [[wikipedia:Job_demands-resources_model|Job Demands-Resources model]] (Demerouti et al., 2001). === Conservation of resources stress model === The Conservation of resources stress model (CORT; Hobfall, 1989) is a theory that works to understand and explain why stress occurs. Under the model, human's are motivated to maintain, pursue, or attain resources. Stress, defined as "an individual's perceived pressure or strain" (Hollebeek et al., 2023 p.928), occurs when these resources are threatened or lost, or gained at a net loss. As noted above, resources aren't strictly tied to being physical objects. They can also be emotional states, conditions, or even ideas. For example, someone may place value on enjoying a calm, quiet Sunday morning at home. If their neighbour starts using power tools loudly next door, it would disrupt this state and induce stress in the individual. The CORT model focuses primarily on two principles. The first principle is that there is more harm in losing resources than there is in gaining them back (Halbesleben et al., 2014). This is known as loss salience, and some research suggests that the pain of loss is twice as strong as the pleasure of gain (Thaler, 2000). Looking at our previous example, imagine that the person who enjoys a quiet Sunday morning at home equally enjoys the sound of a loud car engine. Even though the person enjoys the sound of car engines, if the neighbour started revving their car loudly instead of using power tools, it would still disrupt their desired state of quiet and lead to stress. The second principle is that people must invest existing resources in order to gain or protect resources (Halbesleben et al., 2014). This resource investment includes recovering from resource loss. Coping is how people manage or overcome a difficult situation, such as protecting or recovering from resource loss. Coping can be broken down into different strategies that people use, but not all strategies are equal (Ito and Brotheridge, 2003). They are divided into two categories: control or escape strategies. Control strategies are considered as better in reducing the strain from stress and consist of positive thinking, direct action, and help seeking (Havlovic & Keenan, 1991, as cited in Ito and Brotheridge, 2003). The most useful control strategies incorporate a person's [[locus of control]], suggest seeking support from co-workers, and emphasise the importance of autonomy in decision making. === Job demands-resources model === Another model that attempts to understand why people become emotionally exhausted is the Job Demands-Resources model (JD-R; Demerouti et al., 2001). The JD-R model discusses two concepts: job demands and job resources. Demands and resources are both related to the physical, social, or psychological aspects of a job, but differ in their impact on a person. Job demands require physical or mental effort and exhaust a person's energy supply. Job resources typically support achieving goals, reduce the cost of demands, and stimulate personal growth (Richter and Hacker, 1998, as cited in Demerouti et al., 2001). For example, an unsustainable workload would be considered a demand, and support from others would be considered a resource. The JD-R has two primary processes for how demands and resources interact with one another (Schaufeli, 2017). The stress process occurs when job demands are high and resources are low. As stress increases strain and pressure on an individual, it leads to the exhaustion of their energy eventually leading to emotional exhaustion. The second process is the motivational process. This process occurs when there is an excess of job resources. Crucially, the motivational process does not require low job demands. With enough job resources, a person will be energised and engaged, reframing job demands as a challenge to overcome. Although job resources seem like a cure-all for demands, it's important to note that they do not retroactively treat emotional exhaustion. As far as the JD-R model is considered, burnout must be reduced by lowering job demands. However, once someone has recovered, it is possible to increase job resources alongside job demands to prevent future burnout and support engagement. Engagement has been discussed as the opposite of burnout (Bakker et al., 2014). Engagement is how people express themselves when performing a role. A role being a pattern of behaviour that a person goes through based on the social expectations of that role. For example, when attending a typical restaurant, it is socially expected that a person will engage with the waiter and provide them with their meal order to take to the kitchen. This person is performing the script of a restaurant patron. In the context of a workplace, an employee with high engagement may appear to be energised, enthusiastic, and become absorbed in their work losing track of time (Bakkar et al, 2014). {{RoundBoxTop|theme=3}} '''Why do we feel emotionally exhausted''' The JD-R model and the CORT model do use different language and have slight differences, but are similar in how emotional exhaustion is considered, and share a solution to the problem. Emotional exhaustion occurs when the energy cost for completing tasks occur faster than a person can replenish it. If a person is emotionally exhausted, they will need to reduce their workload to recover and, as part of recovery, increasing autonomy (control) in decision making, and asking for help through social support, will lead to positive outcomes - reducing the likelihood of future exhaustion and increasing engagement (Bakker et al., 2014; Halbesleben et al., 2014). {{RoundBoxBottom}} == Empathy fatigue == You may be familiar with the term [[empathy]]. It is often described in terms of supporting others. For example, when someone close to you experiences a loss and is grieving, you may empathise with them and experience a negative emotion akin to grief too. However, empathy is not exclusive to so called negative emotions. For example, parents may have a positive empathic response when something joyful happens to their child. At its core, empathy is the individual ability to imagine or understand another person's feelings and/or emotions (Riess, 2017; Shao et al., 2024). Some research suggests that empathy is a [[wikipedia:Physiology|physiological]] process. One that is hardwired into our brains. Much like other physiological processes, such as running, lifting weights, or doing complex problems solving, doing too much will drain energy and resources. Further, like the difference between running and jogging, there are distinct types of empathy that each have different energy costs. === Types of empathy === Research makes a clear distinction between two types of empathy. * Affective empathy - emotional reaction to someone else's mental state (Shao et al., 2024) * Cognitive empathy - understand someone's feelings or emotions (Cui et al., 2022) * Integrating the two - "affective component is the essence of empathy, and the cognitive component is a process through which that essence comes into being" (Bošnjaković & Radionov, 2018) ** (Author's note: change quote into paraphrasing) === Empathy or compassion fatigue === * Distinction between empathy and compassion fatigue * Compassion fatigue is closely related to Secondary traumatic stress usually found in healthcare professionals (Figley, 2002) ** Compassion fatigue is to Empathy fatigue as emotional exhaustion is to burnout * Make it clear that Aelin is experiencing Compassion Fatigue vs Empathy fatigue (they are the same but different) (Author's note: include an update to the scenario here!) '''Empathy fatigue questions'''. Choose your answers and click "Submit": <quiz display=simple> {Surface acting is when the observer actually feels the emotion: |type="()"} - True + False {Compassion fatigue and empathy fatigue are synonymous: |type="()"} - True + False </quiz> {{RoundBoxTop|theme=3}} '''What is the relationship between empathy fatigue and emotional exhaustion''' * Under the JD-R model, a sustained empathic response is a long-term job demand. * Under the CORT model, a sustained empathic response uses energy to protect existing resources. As resources become low and burnout sets in, cognitive focus narrows leading to empathy fatigue. {{RoundBoxBottom}} == Emotional labor as a mediating factor between empathy fatigue and emotional exhaustion == As a society there are expected [https://en.wikipedia.org/wiki/Social_norm social norms] in behaviour when expressing emotion, regardless if someone is conscious of the process of matching these norms or not. For example, laughing during an emotional speech at a funeral would be considered a rude or offensive expression from the other attendees. As social creatures, humans need a way to regulate socially appropriate emotional expression. This is the essence of Emotional labor: "the regulation of felt and expressed emotions (whether effortful or not) to match these emotional display rules with the objective of fulfilling organizational goals" (Vial & Cowgill, 2022) What is emotional labor (Hochschild, 2012). * Emotional labor is this * It happens because of a combination of Emotional contagion (emotions are contagious), and surface/deep acting === Emotional contagion === Emotional contagion as the theory to moderate surface/deep acting * Emotional contagion (Panksepp and Lahvis, 2011) ** emotions can spread (expand, combines empathy and acting) ** “the tendency to automatically mimic and synchronize expressions, vocalizations, postures, and movements with those of another person’s and, consequently, to converge emotionally.” (Elaine Hatfield, 1993) === Types of acting === * Surface acting ** This is where emotive dissonance comes into play ** Leads to emotional exhaustion (Kenworthy et al., 2014) ** "Should" language - in this situation, this is what I ''should'' feel * Deep acting ** People who 'deep act', as in genuinely change the way they feel (match the feelings they have with the feelings that they need to display) often report positive relationships with emotional labor ** Actual language - in this situation, this is what I ''actually'' feel Discuss the differences in gender norms and expectations in relationships {| class="wikitable" style="margin: auto; |- ! !! Deep acting !! Surface acting |- | '''Emotional dissonance''' || || X |- | '''Not known to others''' || Hidden area || Unknown |} === The mediating effect of emotional labor === Surface acting does not mediate the effect (high surface acting leads to emotional exhaustion) whereas the inverse is true for deep acting (Wrobel, 2013) Emotional Expression and Emotional Processing (Hoyt et al., 2024) {{RoundBoxTop|theme=3}} '''What role does emotional labor play in emotional exhaustion''' * In relation to the CORT and JD-R theories, emotional labor acts as a job demand and expenditure of resources to protect existing resources {{RoundBoxBottom}} == Strategies for combating empathy fatigue and emotional fatigue == * Talk about emotion regulation (Gross, 1998) and mood regulation strategies as a way to deal with coping (Wrobel, 2013) (Author's note: need more research/references for this section) * Talk about breaks ** Rest and downtime from not performing emotional labor regenerates * How do we reduce the amount of emotional labor we're performing (Jeung et al., 2018) ** Communication/boundaries ** Reducing surface acting (allowing ourselves to feel how we actually feel and reduce emotive dissonance) '''Table 1. Treatment phases of clinical burnout (based on Table 2 from van Dam, A. 2021)''' {| class="wikitable" style="margin: auto; |- ! Phase !! Treatment goal !! Therapeutic interventions |- | '''Phase 1: Crisis''' || Recognition of the patient that the problems are serious, and that serious action is required || Psychoeducation Sick leave Dropping domestic tasks and social obligations Inform social network |- | '''Phase 2: Recovery''' || Recovery of the (physiological) stress system to normal allostatic stress levels || Registration of stress and activities Relaxtion exercises Mindfulness healthy lifestyle advices Graded exercise Gradually resume activities Psychoeducation social network and employer Gradual return to work |- | '''Phase 3: Prevention, learning from the past''' || Acquiring insight and skills to prevent relapse in clinical burnout || Analysing stressful situations Analysing dysfunctional thought patterns Learning new coping skills Learning social skills Job crafting Time management Making choices regarding career and personal life |- | '''Phase 4: Post burnout growth''' || Improving sustainable quality of life. || Setting priorities regarding quality of life and interpersonal relationships. |} === Strategies for the workplace === * Discuss types of strategies that are available in the workplace (organisation models) * SCARF model (Aplin-Houtz, 2025) ** Link back to COR and JDR models e.g. praise could be a job resource vs criticism could be a job demand *Reduce workload to reduce emotional exhaustion, and by extension reduce emotional fatigue. {{RoundBoxTop|theme=3}} '''How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion''' *Psychoeducation has been shown to reduce the effects of emotional labor and empathy fatigue on emotional exhaustion {{RoundBoxBottom}} ==Conclusion== * Summarise what empathy fatigue is, and why people become emotionally exhausted (+ the role of emotional labor) * Summarise the symptoms and how to recognise them in yourself and someone else * Emphasise and summarise psychological strategies to support someone going through emotional exhaustion * Summarise ways to prevent emotional exhaustion from happening * Overall message is: *# What is emotional exhaustion *# how do you recognise it *# how do you treat it *# how do you prevent it * Link back to the focus questions ==See also== * [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2025/Metacognition_and_emotional_regulation&oldid=2756264 Metacognition and emotional regulation] (Book chapter, 2026) {{ic|Use an internal link style as shown in Tutorial 2}} * [[wikipedia:Conservation_of_resources_theory|Conservation of resources theory]] (Wikipedia) * [[wikipedia:Job_demands-resources_model|Job demands-resources model]] (Wikipedia) ==References== {{Hanging indent|1= Aplin-Houtz, M. (2025). Unraveling the SCARF: How dimensions of the SCARF model influence the relationship between workplace exclusion and turnover intentions. Journal of Management & Organization, 31(6), 2699–2725. https://doi.org/10.1017/jmo.2025.10026 Bošnjaković, J., & Radionov, T. (2018). Empathy: Concepts, Theories and Neuroscientific Basis. Alcoholism (Zagreb), 54(2), 123–150. https://doi.org/10.20471/de..2018.54.02.04 Chan, F. M. (2026). The State of Workplace Burnout 2026: The Workplace Divide. Infinite Potential, Sydney, Australia. https://www.ahri.com.au/wp-content/uploads/The-State-of-Workplace-Burnout-2026-Final.pdf Cui, F., Huang, X., Jing, Y., Luo, Y., Liu, J., & Gu, R. (2022). How resource sharing resists scarcity: the role of cognitive empathy and its neurobiological mechanisms. Cerebral Cortex (New York, N.Y. 1991), 32(23), 5330–5342. https://doi.org/10.1093/cercor/bhac017 De Beer, L. T., van der Vaart, L., Escaffi-Schwarz, M., De Witte, H., & Schaufeli, W. B. (2024). Maslach Burnout Inventory - General Survey: A Systematic Review and Meta-Analysis of Measurement Properties. European journal of psychological assessment : official organ of the European Association of Psychological Assessment, 40(5), 360-375. https://doi.org/10.1027/1015-5759/a000797 Demerouti, E., Bakker, A. B., Nachreiner, F., & Schaufeli, W. B. (2001). The Job Demands-Resources Model of Burnout. Journal of Applied Psychology, 86(3), 499–512. https://doi.org/10.1037/0021-9010.86.3.499 Figley, C. R. (2002). Compassion fatigue: Psychotherapists’ chronic lack of self care. Journal of Clinical Psychology, 58(11), 1433–1441. https://doi.org/10.1002/jclp.10090 Grandey, A. A. (2003). When ‘the show must go on’: surface acting and deep acting as determinants of emotional exhaustion and peer-rated service delivery. Academy of Management Journal, 46(1), 86–96. https://doi.org/10.5465/30040678 Gross, J. J. (1998). The emerging field of emotion regulation: An integrative review. Review of General Psychology, 2(3), 271–299. https://doi.org/10.1037/1089-2680.2.3.271 Halbesleben, J. R. B., Neveu, J.-P., Paustian-Underdahl, S. C., & Westman, M. (2014). Getting to the “COR”: Understanding the Role of Resources in Conservation of Resources Theory. Journal of Management, 40(5), 1334–1364. https://doi.org/10.1177/0149206314527130 Hatfield, E., Cacioppo, J. T., & Rapson, R. L. (1993). Emotional Contagion. Current Directions in Psychological Science : A Journal of the American Psychological Society, 2(3), 96–99. https://doi.org/10.1111/1467-8721.ep10770953 Hollebeek, L. D., Hammedi, W., & Sprott, D. E. (2023). Consumer engagement, stress, and conservation of resources theory: A review, conceptual development, and future research agenda. Psychology & marketing, 40(5), 926-937. https://doi.org/10.1002/mar.21807 Hobfoll, S. E. (1989). Conservation of Resources: A New Attempt at Conceptualizing Stress. The American Psychologist, 44(3), 513–524. https://doi.org/10.1037/0003-066X.44.3.513 Hochschild, A. R. (2012). The managed heart : commercialization of human feeling (Updated, with a new preface.). University of California Press. Jeung, D.-Y., Kim, C., & Chang, S.-J. (2018). Emotional Labor and Burnout: A Review of the Literature. Yonsei Medical Journal, 59(2), 187–193. https://doi.org/10.3349/ymj.2018.59.2.187 Lavelle, J. J., Rupp, D. E., Herda, D. N., Pandey, A., & Lauck, J. R. (2021). Customer Injustice and Employee Performance: Roles of Emotional Exhaustion, Surface Acting, and Emotional Demands–Abilities Fit. Journal of Management, 47(3), Article 0149206319869426. https://doi.org/10.1177/0149206319869426 Lloyd, C., & King, R. (2004). A survey of burnout among Australian mental health occupational therapists and social workers. Social Psychiatry and Psychiatric Epidemiology, 39(9), 752-757. https://doi.org/https://doi.org/10.1007/s00127-004-0808-7 Kenworthy, J., Fay, C., Frame, M., & Petree, R. (2014). A meta-analytic review of the relationship between emotional dissonance and emotional exhaustion. Journal of Applied Social Psychology, 44(2), 94-105. https://doi.org/https://doi.org/10.1111/jasp.12211 Martingano, A. J., Stosic, M. D., & Konrath, S. (2026). Different empathy types show opposing associations with burnout: systematic review and meta-analyses. Psychology, Health & Medicine, 31(3), 798-829. https://doi.org/10.1080/13548506.2025.2591859 Michielsen, H. J., Willemsen, T. M., Croon, M. A., de Vries, J., & Van Heck, G. L. (2004). Determinants of general fatigue and emotional exhaustion: a prospective study. Psychology & health, 19(2), 223-235. https://doi.org/10.1080/08870440310001627135 Panksepp, J. B., & Lahvis, G. P. (2011). Rodent empathy and affective neuroscience. Neuroscience and Biobehavioral Reviews, 35(9), 1864–1875. https://doi.org/10.1016/j.neubiorev.2011.05.013 Pooladvand, S., & Hasanzadeh, S. (2023). Impacts of Stress on Workers’ Risk-Taking Behaviors: Cognitive Tunneling and Impaired Selective Attention. Journal of Construction Engineering and Management, 149(8), 04023060. https://doi.org/doi:10.1061/JCEMD4.COENG-13339 Riess, H. (2017). The Science of Empathy. Journal of Patient Experience, 4(2), 74–77. https://doi.org/10.1177/2374373517699267 Schaufeli, W. B. (2017). Applying the job demands-resources model: a “how to” guide to measuring and tackling work engagement and burnout. Organizational Dynamics, 46(2), 120–132. https://doi.org/10.1016/j.orgdyn.2017.04.008 Schneiderman, N., Ironson, G., & Siegel, S. D. (2005). Stress and Health: Psychological, Behavioral, and Biological Determinants. Annual Review of Clinical Psychology, 1(Volume 1, 2005), 607-628. https://doi.org/https://doi.org/10.1146/annurev.clinpsy.1.102803.144141 Seidler, A., Thinschmidt, M., Deckert, S., Then, F., Hegewald, J., Nieuwenhuijsen, K., & Riedel-Heller, S. G. (2014). The role of psychosocial working conditions on burnout and its core component emotional exhaustion – a systematic review. Journal of Occupational Medicine and Toxicology, 9(1), 10. https://doi.org/10.1186/1745-6673-9-10 Shao, M., Li, L., Li, X., Wei, Z., Wang, J., Hong, M., Liu, X., & Meng, J. (2024). The effect of top-down attention on empathy fatigue. Cerebral Cortex (New York, N.Y. 1991), 34(1), Article bhad441. https://doi.org/10.1093/cercor/bhad441 van Dam, A. (2021). A clinical perspective on burnout: diagnosis, classification, and treatment of clinical burnout. European Journal of Work and Organizational Psychology, 30(5), 732-741. https://doi.org/10.1080/1359432X.2021.1948400 Vial, A. C., & Cowgill, C. M. (2022). Heavier Lies Her Crown: Gendered Patterns of Leader Emotional Labor and Their Downstream Effects. Frontiers in Psychology, 13, 849566. https://doi.org/https://doi.org/10.3389/fpsyg.2022.849566 Wharton, A. S. (2009). The Sociology of Emotional Labor. Annual Review of Sociology, 35(1), 147–165. https://doi.org/10.1146/annurev-soc-070308-115944 Wrobel, M. (2013). Can empathy lead to emotional exhaustion in teachers? The mediating role of emotional labor. International Journal of Occupational Medicine and Environmental Health, 26(4), 581–592. https://doi.org/10.2478/s13382-013-0123-1 }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Burnout]] [[Category:Motivation and emotion/Book/Empathy]] rjnng87ny21dxb5obu2fb0sosl9lh99 2844307 2844305 2026-11-03T21:34:06Z U3143751 3106785 /* Conservation of resources stress model */ 2844307 wikitext text/x-wiki {{title|Empathy fatigue and emotional exhaustion:<br>How does sustained empathic engagement contribute to emotional exhaustion?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:Exhausted smartphone user.JPG|right|thumb|150px|'''Figure 1'''. An emotionally exhausted Aelin at the end of the work day]] ; Scenario Aelin, a 23-year-old social worker employed at headspace {{ic|Link to the Wikipedia article to help explain what this term means}}, works with approximately 20 {{ic|Explain what sort of}}Imagine you are only 23 years old and are working as a social worker at headspace. You see around 20 clients each week, many of whom have experienced rough living conditions. During your first six months in this role, you felt highly motivated and excited to help people in need. You are an excellent active listener and can easily remember details about your clients Live’s. You are also good at recognising signs of distress in your client’s body language and adjust yours in order to show warmth and understanding. As you progress in your role, you take on more cases that involve complex past traumas. The workload becomes too much for you to get done at work, but you don’t want your clients to miss out, so you take your work home to complete it in the evenings. Your workload increases again and you now start doing work on your weekends as well. After several months of working this way, you start to notice you feel exhausted every morning before you have even started work. You then start to notice you’re responding to people at work differently. Instead of your usual energised active listening response you feel frustrated, empathetic and detached. After work you are too drained to socialise with friends. This begins to worry you. What if you won’t be able to continue working as a social worker? {{RoundBoxBottom}} Aelin is experiencing '''emotional exhaustion''' from a sustained empathic response. Due to the nature of Aelin's work, they are constantly engaged in an empathic response. Empathic responses require cognitive and physical resources to sustain. Because Aelin is taking their work home and not resting on weekends, they do not have a chance to rest. It is important for Aelin to recognise what is happening and why. Not actioning the problem has led to empathy fatigue and emotional exhaustion. Emotional exhaustion is one of the key aspects of [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FEmpathy_fatigue_and_emotional_exhaustion&diff=2840411&oldid=2832859 burnout], a long-term condition of existing in a constant state of high stress. Psychological science can support Aelin in recognising and mapping the symptoms they are experiencing, understand coping strategies to minimise the current and future effects to improve their wellbeing. Understanding the symptoms will also support their role as a social worker, providing more tools for the people they support on a day-to-day basis. {{RoundBoxTop|theme=3}} '''Focus questions''' * Why do people become emotionally exhausted? * What is the relationship between empathy fatigue and emotional exhaustion? * What role does emotional labor play in emotional exhaustion? * How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion? {{RoundBoxBottom}} == Emotional exhaustion == To understand emotional exhaustion, it will be important to first understand burnout. Burnout is a long-term condition of existing in a constant state of high stress and affects millions of people annually. In the early 2000s, a survey from Australia found that more than 50% of social workers and occupational workers reported high levels of burnout symptoms (Llyod and King, 2004) and a recent report from 2026 found that more than one third of all workers in Australia were experiencing burnout (Chan, 2026). Being in a state of high stress for short periods of time is a useful adaptation for humans, so much so that it has been given a name, [[wikipedia:Eustress|Eustress]]. However, as a long-term condition it leads to individual health issues and can be linked to cardiovascular disease, increased vulnerability to upper respiratory diseases, and chronic inflammation (Schneiderman et al., 2005), and cognitive issues such as [[wikipedia:Inattentional_blindness|cognitive tunneling]] and impaired selective attention (Pooladvand and Hasanzadeh, 2023). Burnout can be defined across three dimensions: emotional exhaustion, [[wikipedia:Depersonalization|depersonalisation]], and reduced feelings of personal accomplishment (Maslach, 1993, as cited in Martingano et al., 2026). Emotional exhaustion may be considered the 'core' component of burnout and refers to the depletion of emotional resources, leading to feelings of overwhelm, overextension, and exhaustion (Martingano et al., 2026; De Beer et al., 2024; Seidler et al., 2014). As a major factor, its symptoms are similar to burnout and stress. Although antecedents of burnout are typically agreed upon (Bakker et al., 2014) and divided into individual (e.g. self-efficacy) and situational categories (e.g. work load), there are many theories that attempt to explain why emotional exhaustion occurs. Two of these theories with good evidence are the [[wikipedia:Conservation_of_resources_theory|Conservation of resources stress model]] (Hobfoll, 1989) and the [[wikipedia:Job_demands-resources_model|Job Demands-Resources model]] (Demerouti et al., 2001). === Conservation of resources stress model === The Conservation of resources stress model (CORT; Hobfall, 1989) is a theory that works to understand and explain why stress occurs. Under the model, humans are motivated to maintain, pursue, or attain resources. Stress, defined as "an individual's perceived pressure or strain" (Hollebeek et al., 2023 p.928), occurs when these resources are threatened or lost, or gained at a net loss. As noted above, resources aren't strictly tied to being physical objects. They can also be emotional states, conditions, or even ideas. For example, someone may place value on enjoying a calm, quiet Sunday morning at home. If their neighbour starts using power tools loudly next door, it would disrupt this state and induce stress in the individual. The CORT model focuses primarily on two principles. The first principle is that there is more harm in losing resources than there is in gaining them back (Halbesleben et al., 2014). This is known as loss salience, and some research suggests that the pain of loss is felt twice as strong as the pleasure of gain (Thaler, 2000). Looking at our previous example, imagine that the person who enjoys a quiet Sunday morning at home equally enjoys the sound of a loud car engine. Even though the person enjoys the sound of car engines, if the neighbour started revving their car loudly instead of using power tools, it would still disrupt their desired state of quiet and lead to an increase of stress. The second principle is that people must invest existing resources in order to gain or protect resources (Halbesleben et al., 2014). This resource investment includes recovering from resource loss. Coping is how people manage or overcome a difficult situation, such as protecting or recovering from resource loss. Coping can be broken down into different strategies that people use, but not all strategies are equal (Ito and Brotheridge, 2003). They are divided into two categories: control or escape strategies. Control strategies are considered better at reducing the strain from stress and consist of positive thinking, direct action, and help seeking (Havlovic & Keenan, 1991, as cited in Ito and Brotheridge, 2003). The most useful control strategies incorporate a person's [[locus of control]], emphasise seeking support from co-workers, and highlight the importance of autonomy in decision making. === Job demands-resources model === Another model that attempts to understand why people become emotionally exhausted is the Job Demands-Resources model (JD-R; Demerouti et al., 2001). The JD-R model discusses two concepts: job demands and job resources. Demands and resources are both related to the physical, social, or psychological aspects of a job, but differ in their impact on a person. Job demands require physical or mental effort and exhaust a person's energy supply. Job resources typically support achieving goals, reduce the effort cost of job demands, and stimulate personal growth (Richter and Hacker, 1998, as cited in Demerouti et al., 2001). For example, an unsustainable workload would be considered a job demand, and receiving help and support from others would be considered a resource. The JD-R has two primary processes for how demands and resources interact with one another (Schaufeli, 2017). The stress process occurs when job demands are high and resources are low. As stress increases strain and pressure on an individual, it leads to the exhaustion of their energy eventually, eventually leading to emotional exhaustion. The second process is the motivational process. This process occurs when there is an excess of job resources. Crucially, the motivational process does not require low job demands. With enough job resources, a person will be energised and engaged, reframing job demands as a challenge to overcome. Although job resources seem like a cure-all for demands, it's important to note that they do not retroactively treat emotional exhaustion. Under the JD-R model, burnout must be reduced by lowering job demands. However, once someone has recovered, it is possible to increase job resources alongside job demands to prevent future burnout and support [[wikipedia:Work_engagement|work engagement]]. Work engagement (engagement) has been discussed as the opposite of burnout (Bakker et al., 2014). Engagement is how people express themselves when performing a role. A role being a pattern of behaviour that a person goes through based on the social expectations of that role, similar to how an actor takes on a role for a movie. For example, when attending a typical restaurant, it is socially expected that a person will engage with the waiter and provide them with their meal order to take to the kitchen. This person is performing the script of a restaurant patron. In the context of a workplace, an employee with high engagement may appear to be energised, enthusiastic, and become absorbed in their work losing track of time (Bakkar et al, 2014). {{RoundBoxTop|theme=3}} '''Why do we feel emotionally exhausted''' The JD-R model and the CORT model do use different language and have slight differences, but are similar in how emotional exhaustion is considered, and share a solution to the problem. Emotional exhaustion occurs when the energy cost for completing tasks occur faster than a person can replenish it. If a person is emotionally exhausted, they will need to reduce their workload to recover and, as part of recovery, increasing autonomy (control) in decision making, and asking for help through social support, will lead to positive outcomes - reducing the likelihood of future exhaustion and increasing engagement (Bakker et al., 2014; Halbesleben et al., 2014). {{RoundBoxBottom}} == Empathy fatigue == You may be familiar with the term [[empathy]]. It is often described in terms of supporting others. For example, when someone close to you experiences a loss and is grieving, you may empathise with them and experience a negative emotion akin to grief too. However, empathy is not exclusive to so called negative emotions. For example, parents may have a positive empathic response when something joyful happens to their child. At its core, empathy is the individual ability to imagine or understand another person's feelings and/or emotions (Riess, 2017; Shao et al., 2024). Some research suggests that empathy is a [[wikipedia:Physiology|physiological]] process. One that is hardwired into our brains. Much like other physiological processes, such as running, lifting weights, or doing complex problems solving, doing too much will drain energy and resources. Further, like the difference between running and jogging, there are distinct types of empathy that each have different energy costs. === Types of empathy === Research makes a clear distinction between two types of empathy. * Affective empathy - emotional reaction to someone else's mental state (Shao et al., 2024) * Cognitive empathy - understand someone's feelings or emotions (Cui et al., 2022) * Integrating the two - "affective component is the essence of empathy, and the cognitive component is a process through which that essence comes into being" (Bošnjaković & Radionov, 2018) ** (Author's note: change quote into paraphrasing) === Empathy or compassion fatigue === * Distinction between empathy and compassion fatigue * Compassion fatigue is closely related to Secondary traumatic stress usually found in healthcare professionals (Figley, 2002) ** Compassion fatigue is to Empathy fatigue as emotional exhaustion is to burnout * Make it clear that Aelin is experiencing Compassion Fatigue vs Empathy fatigue (they are the same but different) (Author's note: include an update to the scenario here!) '''Empathy fatigue questions'''. Choose your answers and click "Submit": <quiz display=simple> {Surface acting is when the observer actually feels the emotion: |type="()"} - True + False {Compassion fatigue and empathy fatigue are synonymous: |type="()"} - True + False </quiz> {{RoundBoxTop|theme=3}} '''What is the relationship between empathy fatigue and emotional exhaustion''' * Under the JD-R model, a sustained empathic response is a long-term job demand. * Under the CORT model, a sustained empathic response uses energy to protect existing resources. As resources become low and burnout sets in, cognitive focus narrows leading to empathy fatigue. {{RoundBoxBottom}} == Emotional labor as a mediating factor between empathy fatigue and emotional exhaustion == As a society there are expected [https://en.wikipedia.org/wiki/Social_norm social norms] in behaviour when expressing emotion, regardless if someone is conscious of the process of matching these norms or not. For example, laughing during an emotional speech at a funeral would be considered a rude or offensive expression from the other attendees. As social creatures, humans need a way to regulate socially appropriate emotional expression. This is the essence of Emotional labor: "the regulation of felt and expressed emotions (whether effortful or not) to match these emotional display rules with the objective of fulfilling organizational goals" (Vial & Cowgill, 2022) What is emotional labor (Hochschild, 2012). * Emotional labor is this * It happens because of a combination of Emotional contagion (emotions are contagious), and surface/deep acting === Emotional contagion === Emotional contagion as the theory to moderate surface/deep acting * Emotional contagion (Panksepp and Lahvis, 2011) ** emotions can spread (expand, combines empathy and acting) ** “the tendency to automatically mimic and synchronize expressions, vocalizations, postures, and movements with those of another person’s and, consequently, to converge emotionally.” (Elaine Hatfield, 1993) === Types of acting === * Surface acting ** This is where emotive dissonance comes into play ** Leads to emotional exhaustion (Kenworthy et al., 2014) ** "Should" language - in this situation, this is what I ''should'' feel * Deep acting ** People who 'deep act', as in genuinely change the way they feel (match the feelings they have with the feelings that they need to display) often report positive relationships with emotional labor ** Actual language - in this situation, this is what I ''actually'' feel Discuss the differences in gender norms and expectations in relationships {| class="wikitable" style="margin: auto; |- ! !! Deep acting !! Surface acting |- | '''Emotional dissonance''' || || X |- | '''Not known to others''' || Hidden area || Unknown |} === The mediating effect of emotional labor === Surface acting does not mediate the effect (high surface acting leads to emotional exhaustion) whereas the inverse is true for deep acting (Wrobel, 2013) Emotional Expression and Emotional Processing (Hoyt et al., 2024) {{RoundBoxTop|theme=3}} '''What role does emotional labor play in emotional exhaustion''' * In relation to the CORT and JD-R theories, emotional labor acts as a job demand and expenditure of resources to protect existing resources {{RoundBoxBottom}} == Strategies for combating empathy fatigue and emotional fatigue == * Talk about emotion regulation (Gross, 1998) and mood regulation strategies as a way to deal with coping (Wrobel, 2013) (Author's note: need more research/references for this section) * Talk about breaks ** Rest and downtime from not performing emotional labor regenerates * How do we reduce the amount of emotional labor we're performing (Jeung et al., 2018) ** Communication/boundaries ** Reducing surface acting (allowing ourselves to feel how we actually feel and reduce emotive dissonance) '''Table 1. Treatment phases of clinical burnout (based on Table 2 from van Dam, A. 2021)''' {| class="wikitable" style="margin: auto; |- ! Phase !! Treatment goal !! Therapeutic interventions |- | '''Phase 1: Crisis''' || Recognition of the patient that the problems are serious, and that serious action is required || Psychoeducation Sick leave Dropping domestic tasks and social obligations Inform social network |- | '''Phase 2: Recovery''' || Recovery of the (physiological) stress system to normal allostatic stress levels || Registration of stress and activities Relaxtion exercises Mindfulness healthy lifestyle advices Graded exercise Gradually resume activities Psychoeducation social network and employer Gradual return to work |- | '''Phase 3: Prevention, learning from the past''' || Acquiring insight and skills to prevent relapse in clinical burnout || Analysing stressful situations Analysing dysfunctional thought patterns Learning new coping skills Learning social skills Job crafting Time management Making choices regarding career and personal life |- | '''Phase 4: Post burnout growth''' || Improving sustainable quality of life. || Setting priorities regarding quality of life and interpersonal relationships. |} === Strategies for the workplace === * Discuss types of strategies that are available in the workplace (organisation models) * SCARF model (Aplin-Houtz, 2025) ** Link back to COR and JDR models e.g. praise could be a job resource vs criticism could be a job demand *Reduce workload to reduce emotional exhaustion, and by extension reduce emotional fatigue. {{RoundBoxTop|theme=3}} '''How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion''' *Psychoeducation has been shown to reduce the effects of emotional labor and empathy fatigue on emotional exhaustion {{RoundBoxBottom}} ==Conclusion== * Summarise what empathy fatigue is, and why people become emotionally exhausted (+ the role of emotional labor) * Summarise the symptoms and how to recognise them in yourself and someone else * Emphasise and summarise psychological strategies to support someone going through emotional exhaustion * Summarise ways to prevent emotional exhaustion from happening * Overall message is: *# What is emotional exhaustion *# how do you recognise it *# how do you treat it *# how do you prevent it * Link back to the focus questions ==See also== * [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2025/Metacognition_and_emotional_regulation&oldid=2756264 Metacognition and emotional regulation] (Book chapter, 2026) {{ic|Use an internal link style as shown in Tutorial 2}} * [[wikipedia:Conservation_of_resources_theory|Conservation of resources theory]] (Wikipedia) * [[wikipedia:Job_demands-resources_model|Job demands-resources model]] (Wikipedia) ==References== {{Hanging indent|1= Aplin-Houtz, M. (2025). Unraveling the SCARF: How dimensions of the SCARF model influence the relationship between workplace exclusion and turnover intentions. Journal of Management & Organization, 31(6), 2699–2725. https://doi.org/10.1017/jmo.2025.10026 Bošnjaković, J., & Radionov, T. (2018). Empathy: Concepts, Theories and Neuroscientific Basis. Alcoholism (Zagreb), 54(2), 123–150. https://doi.org/10.20471/de..2018.54.02.04 Chan, F. M. (2026). The State of Workplace Burnout 2026: The Workplace Divide. Infinite Potential, Sydney, Australia. https://www.ahri.com.au/wp-content/uploads/The-State-of-Workplace-Burnout-2026-Final.pdf Cui, F., Huang, X., Jing, Y., Luo, Y., Liu, J., & Gu, R. (2022). How resource sharing resists scarcity: the role of cognitive empathy and its neurobiological mechanisms. Cerebral Cortex (New York, N.Y. 1991), 32(23), 5330–5342. https://doi.org/10.1093/cercor/bhac017 De Beer, L. T., van der Vaart, L., Escaffi-Schwarz, M., De Witte, H., & Schaufeli, W. B. (2024). Maslach Burnout Inventory - General Survey: A Systematic Review and Meta-Analysis of Measurement Properties. European journal of psychological assessment : official organ of the European Association of Psychological Assessment, 40(5), 360-375. https://doi.org/10.1027/1015-5759/a000797 Demerouti, E., Bakker, A. B., Nachreiner, F., & Schaufeli, W. B. (2001). The Job Demands-Resources Model of Burnout. Journal of Applied Psychology, 86(3), 499–512. https://doi.org/10.1037/0021-9010.86.3.499 Figley, C. R. (2002). Compassion fatigue: Psychotherapists’ chronic lack of self care. Journal of Clinical Psychology, 58(11), 1433–1441. https://doi.org/10.1002/jclp.10090 Grandey, A. A. (2003). When ‘the show must go on’: surface acting and deep acting as determinants of emotional exhaustion and peer-rated service delivery. Academy of Management Journal, 46(1), 86–96. https://doi.org/10.5465/30040678 Gross, J. J. (1998). The emerging field of emotion regulation: An integrative review. Review of General Psychology, 2(3), 271–299. https://doi.org/10.1037/1089-2680.2.3.271 Halbesleben, J. R. B., Neveu, J.-P., Paustian-Underdahl, S. C., & Westman, M. (2014). Getting to the “COR”: Understanding the Role of Resources in Conservation of Resources Theory. Journal of Management, 40(5), 1334–1364. https://doi.org/10.1177/0149206314527130 Hatfield, E., Cacioppo, J. T., & Rapson, R. L. (1993). Emotional Contagion. Current Directions in Psychological Science : A Journal of the American Psychological Society, 2(3), 96–99. https://doi.org/10.1111/1467-8721.ep10770953 Hollebeek, L. D., Hammedi, W., & Sprott, D. E. (2023). Consumer engagement, stress, and conservation of resources theory: A review, conceptual development, and future research agenda. Psychology & marketing, 40(5), 926-937. https://doi.org/10.1002/mar.21807 Hobfoll, S. E. (1989). Conservation of Resources: A New Attempt at Conceptualizing Stress. The American Psychologist, 44(3), 513–524. https://doi.org/10.1037/0003-066X.44.3.513 Hochschild, A. R. (2012). The managed heart : commercialization of human feeling (Updated, with a new preface.). University of California Press. Jeung, D.-Y., Kim, C., & Chang, S.-J. (2018). Emotional Labor and Burnout: A Review of the Literature. Yonsei Medical Journal, 59(2), 187–193. https://doi.org/10.3349/ymj.2018.59.2.187 Lavelle, J. J., Rupp, D. E., Herda, D. N., Pandey, A., & Lauck, J. R. (2021). Customer Injustice and Employee Performance: Roles of Emotional Exhaustion, Surface Acting, and Emotional Demands–Abilities Fit. Journal of Management, 47(3), Article 0149206319869426. https://doi.org/10.1177/0149206319869426 Lloyd, C., & King, R. (2004). A survey of burnout among Australian mental health occupational therapists and social workers. Social Psychiatry and Psychiatric Epidemiology, 39(9), 752-757. https://doi.org/https://doi.org/10.1007/s00127-004-0808-7 Kenworthy, J., Fay, C., Frame, M., & Petree, R. (2014). A meta-analytic review of the relationship between emotional dissonance and emotional exhaustion. Journal of Applied Social Psychology, 44(2), 94-105. https://doi.org/https://doi.org/10.1111/jasp.12211 Martingano, A. J., Stosic, M. D., & Konrath, S. (2026). Different empathy types show opposing associations with burnout: systematic review and meta-analyses. Psychology, Health & Medicine, 31(3), 798-829. https://doi.org/10.1080/13548506.2025.2591859 Michielsen, H. J., Willemsen, T. M., Croon, M. A., de Vries, J., & Van Heck, G. L. (2004). Determinants of general fatigue and emotional exhaustion: a prospective study. Psychology & health, 19(2), 223-235. https://doi.org/10.1080/08870440310001627135 Panksepp, J. B., & Lahvis, G. P. (2011). Rodent empathy and affective neuroscience. Neuroscience and Biobehavioral Reviews, 35(9), 1864–1875. https://doi.org/10.1016/j.neubiorev.2011.05.013 Pooladvand, S., & Hasanzadeh, S. (2023). Impacts of Stress on Workers’ Risk-Taking Behaviors: Cognitive Tunneling and Impaired Selective Attention. Journal of Construction Engineering and Management, 149(8), 04023060. https://doi.org/doi:10.1061/JCEMD4.COENG-13339 Riess, H. (2017). The Science of Empathy. Journal of Patient Experience, 4(2), 74–77. https://doi.org/10.1177/2374373517699267 Schaufeli, W. B. (2017). Applying the job demands-resources model: a “how to” guide to measuring and tackling work engagement and burnout. Organizational Dynamics, 46(2), 120–132. https://doi.org/10.1016/j.orgdyn.2017.04.008 Schneiderman, N., Ironson, G., & Siegel, S. D. (2005). Stress and Health: Psychological, Behavioral, and Biological Determinants. Annual Review of Clinical Psychology, 1(Volume 1, 2005), 607-628. https://doi.org/https://doi.org/10.1146/annurev.clinpsy.1.102803.144141 Seidler, A., Thinschmidt, M., Deckert, S., Then, F., Hegewald, J., Nieuwenhuijsen, K., & Riedel-Heller, S. G. (2014). The role of psychosocial working conditions on burnout and its core component emotional exhaustion – a systematic review. Journal of Occupational Medicine and Toxicology, 9(1), 10. https://doi.org/10.1186/1745-6673-9-10 Shao, M., Li, L., Li, X., Wei, Z., Wang, J., Hong, M., Liu, X., & Meng, J. (2024). The effect of top-down attention on empathy fatigue. Cerebral Cortex (New York, N.Y. 1991), 34(1), Article bhad441. https://doi.org/10.1093/cercor/bhad441 van Dam, A. (2021). A clinical perspective on burnout: diagnosis, classification, and treatment of clinical burnout. European Journal of Work and Organizational Psychology, 30(5), 732-741. https://doi.org/10.1080/1359432X.2021.1948400 Vial, A. C., & Cowgill, C. M. (2022). Heavier Lies Her Crown: Gendered Patterns of Leader Emotional Labor and Their Downstream Effects. Frontiers in Psychology, 13, 849566. https://doi.org/https://doi.org/10.3389/fpsyg.2022.849566 Wharton, A. S. (2009). The Sociology of Emotional Labor. Annual Review of Sociology, 35(1), 147–165. https://doi.org/10.1146/annurev-soc-070308-115944 Wrobel, M. (2013). Can empathy lead to emotional exhaustion in teachers? The mediating role of emotional labor. International Journal of Occupational Medicine and Environmental Health, 26(4), 581–592. https://doi.org/10.2478/s13382-013-0123-1 }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Burnout]] [[Category:Motivation and emotion/Book/Empathy]] 8qftcns7g11ogxfvtidsp622bdt8f1z 2844311 2844307 2026-11-03T21:39:45Z U3143751 3106785 /* Empathy fatigue */ 2844311 wikitext text/x-wiki {{title|Empathy fatigue and emotional exhaustion:<br>How does sustained empathic engagement contribute to emotional exhaustion?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:Exhausted smartphone user.JPG|right|thumb|150px|'''Figure 1'''. An emotionally exhausted Aelin at the end of the work day]] ; Scenario Aelin, a 23-year-old social worker employed at headspace {{ic|Link to the Wikipedia article to help explain what this term means}}, works with approximately 20 {{ic|Explain what sort of}}Imagine you are only 23 years old and are working as a social worker at headspace. You see around 20 clients each week, many of whom have experienced rough living conditions. During your first six months in this role, you felt highly motivated and excited to help people in need. You are an excellent active listener and can easily remember details about your clients Live’s. You are also good at recognising signs of distress in your client’s body language and adjust yours in order to show warmth and understanding. As you progress in your role, you take on more cases that involve complex past traumas. The workload becomes too much for you to get done at work, but you don’t want your clients to miss out, so you take your work home to complete it in the evenings. Your workload increases again and you now start doing work on your weekends as well. After several months of working this way, you start to notice you feel exhausted every morning before you have even started work. You then start to notice you’re responding to people at work differently. Instead of your usual energised active listening response you feel frustrated, empathetic and detached. After work you are too drained to socialise with friends. This begins to worry you. What if you won’t be able to continue working as a social worker? {{RoundBoxBottom}} Aelin is experiencing '''emotional exhaustion''' from a sustained empathic response. Due to the nature of Aelin's work, they are constantly engaged in an empathic response. Empathic responses require cognitive and physical resources to sustain. Because Aelin is taking their work home and not resting on weekends, they do not have a chance to rest. It is important for Aelin to recognise what is happening and why. Not actioning the problem has led to empathy fatigue and emotional exhaustion. Emotional exhaustion is one of the key aspects of [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FEmpathy_fatigue_and_emotional_exhaustion&diff=2840411&oldid=2832859 burnout], a long-term condition of existing in a constant state of high stress. Psychological science can support Aelin in recognising and mapping the symptoms they are experiencing, understand coping strategies to minimise the current and future effects to improve their wellbeing. Understanding the symptoms will also support their role as a social worker, providing more tools for the people they support on a day-to-day basis. {{RoundBoxTop|theme=3}} '''Focus questions''' * Why do people become emotionally exhausted? * What is the relationship between empathy fatigue and emotional exhaustion? * What role does emotional labor play in emotional exhaustion? * How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion? {{RoundBoxBottom}} == Emotional exhaustion == To understand emotional exhaustion, it will be important to first understand burnout. Burnout is a long-term condition of existing in a constant state of high stress and affects millions of people annually. In the early 2000s, a survey from Australia found that more than 50% of social workers and occupational workers reported high levels of burnout symptoms (Llyod and King, 2004) and a recent report from 2026 found that more than one third of all workers in Australia were experiencing burnout (Chan, 2026). Being in a state of high stress for short periods of time is a useful adaptation for humans, so much so that it has been given a name, [[wikipedia:Eustress|Eustress]]. However, as a long-term condition it leads to individual health issues and can be linked to cardiovascular disease, increased vulnerability to upper respiratory diseases, and chronic inflammation (Schneiderman et al., 2005), and cognitive issues such as [[wikipedia:Inattentional_blindness|cognitive tunneling]] and impaired selective attention (Pooladvand and Hasanzadeh, 2023). Burnout can be defined across three dimensions: emotional exhaustion, [[wikipedia:Depersonalization|depersonalisation]], and reduced feelings of personal accomplishment (Maslach, 1993, as cited in Martingano et al., 2026). Emotional exhaustion may be considered the 'core' component of burnout and refers to the depletion of emotional resources, leading to feelings of overwhelm, overextension, and exhaustion (Martingano et al., 2026; De Beer et al., 2024; Seidler et al., 2014). As a major factor, its symptoms are similar to burnout and stress. Although antecedents of burnout are typically agreed upon (Bakker et al., 2014) and divided into individual (e.g. self-efficacy) and situational categories (e.g. work load), there are many theories that attempt to explain why emotional exhaustion occurs. Two of these theories with good evidence are the [[wikipedia:Conservation_of_resources_theory|Conservation of resources stress model]] (Hobfoll, 1989) and the [[wikipedia:Job_demands-resources_model|Job Demands-Resources model]] (Demerouti et al., 2001). === Conservation of resources stress model === The Conservation of resources stress model (CORT; Hobfall, 1989) is a theory that works to understand and explain why stress occurs. Under the model, humans are motivated to maintain, pursue, or attain resources. Stress, defined as "an individual's perceived pressure or strain" (Hollebeek et al., 2023 p.928), occurs when these resources are threatened or lost, or gained at a net loss. As noted above, resources aren't strictly tied to being physical objects. They can also be emotional states, conditions, or even ideas. For example, someone may place value on enjoying a calm, quiet Sunday morning at home. If their neighbour starts using power tools loudly next door, it would disrupt this state and induce stress in the individual. The CORT model focuses primarily on two principles. The first principle is that there is more harm in losing resources than there is in gaining them back (Halbesleben et al., 2014). This is known as loss salience, and some research suggests that the pain of loss is felt twice as strong as the pleasure of gain (Thaler, 2000). Looking at our previous example, imagine that the person who enjoys a quiet Sunday morning at home equally enjoys the sound of a loud car engine. Even though the person enjoys the sound of car engines, if the neighbour started revving their car loudly instead of using power tools, it would still disrupt their desired state of quiet and lead to an increase of stress. The second principle is that people must invest existing resources in order to gain or protect resources (Halbesleben et al., 2014). This resource investment includes recovering from resource loss. Coping is how people manage or overcome a difficult situation, such as protecting or recovering from resource loss. Coping can be broken down into different strategies that people use, but not all strategies are equal (Ito and Brotheridge, 2003). They are divided into two categories: control or escape strategies. Control strategies are considered better at reducing the strain from stress and consist of positive thinking, direct action, and help seeking (Havlovic & Keenan, 1991, as cited in Ito and Brotheridge, 2003). The most useful control strategies incorporate a person's [[locus of control]], emphasise seeking support from co-workers, and highlight the importance of autonomy in decision making. === Job demands-resources model === Another model that attempts to understand why people become emotionally exhausted is the Job Demands-Resources model (JD-R; Demerouti et al., 2001). The JD-R model discusses two concepts: job demands and job resources. Demands and resources are both related to the physical, social, or psychological aspects of a job, but differ in their impact on a person. Job demands require physical or mental effort and exhaust a person's energy supply. Job resources typically support achieving goals, reduce the effort cost of job demands, and stimulate personal growth (Richter and Hacker, 1998, as cited in Demerouti et al., 2001). For example, an unsustainable workload would be considered a job demand, and receiving help and support from others would be considered a resource. The JD-R has two primary processes for how demands and resources interact with one another (Schaufeli, 2017). The stress process occurs when job demands are high and resources are low. As stress increases strain and pressure on an individual, it leads to the exhaustion of their energy eventually, eventually leading to emotional exhaustion. The second process is the motivational process. This process occurs when there is an excess of job resources. Crucially, the motivational process does not require low job demands. With enough job resources, a person will be energised and engaged, reframing job demands as a challenge to overcome. Although job resources seem like a cure-all for demands, it's important to note that they do not retroactively treat emotional exhaustion. Under the JD-R model, burnout must be reduced by lowering job demands. However, once someone has recovered, it is possible to increase job resources alongside job demands to prevent future burnout and support [[wikipedia:Work_engagement|work engagement]]. Work engagement (engagement) has been discussed as the opposite of burnout (Bakker et al., 2014). Engagement is how people express themselves when performing a role. A role being a pattern of behaviour that a person goes through based on the social expectations of that role, similar to how an actor takes on a role for a movie. For example, when attending a typical restaurant, it is socially expected that a person will engage with the waiter and provide them with their meal order to take to the kitchen. This person is performing the script of a restaurant patron. In the context of a workplace, an employee with high engagement may appear to be energised, enthusiastic, and become absorbed in their work losing track of time (Bakkar et al, 2014). {{RoundBoxTop|theme=3}} '''Why do we feel emotionally exhausted''' The JD-R model and the CORT model do use different language and have slight differences, but are similar in how emotional exhaustion is considered, and share a solution to the problem. Emotional exhaustion occurs when the energy cost for completing tasks occur faster than a person can replenish it. If a person is emotionally exhausted, they will need to reduce their workload to recover and, as part of recovery, increasing autonomy (control) in decision making, and asking for help through social support, will lead to positive outcomes - reducing the likelihood of future exhaustion and increasing engagement (Bakker et al., 2014; Halbesleben et al., 2014). {{RoundBoxBottom}} == Empathy fatigue == You may be familiar with the term [[empathy]]. It is often described in terms of supporting others. For example, when someone close to you experiences a loss and is grieving, you may empathise with them and experience a negative emotion akin to grief too. However, empathy is not exclusive to so called negative emotions. For example, compersion is a positive empathic response when a loved one experiences joy. Parents may experience compersion when something joyful happens to their child. At its core, empathy is the individual ability to imagine or understand another person's feelings and/or emotions (Riess, 2017; Shao et al., 2024). Some research suggests that empathy is a [[wikipedia:Physiology|physiological]] process. One that is hardwired into our brains. Much like other physiological processes, such as running or lifting weights, doing too much will drain energy and resources. Further, like the difference between running and jogging, there are distinct types of empathy that each have different energy costs. === Types of empathy === Research makes a clear distinction between two types of empathy. * Affective empathy - emotional reaction to someone else's mental state (Shao et al., 2024) * Cognitive empathy - understand someone's feelings or emotions (Cui et al., 2022) * Integrating the two - "affective component is the essence of empathy, and the cognitive component is a process through which that essence comes into being" (Bošnjaković & Radionov, 2018) ** (Author's note: change quote into paraphrasing) === Empathy or compassion fatigue === * Distinction between empathy and compassion fatigue * Compassion fatigue is closely related to Secondary traumatic stress usually found in healthcare professionals (Figley, 2002) ** Compassion fatigue is to Empathy fatigue as emotional exhaustion is to burnout * Make it clear that Aelin is experiencing Compassion Fatigue vs Empathy fatigue (they are the same but different) (Author's note: include an update to the scenario here!) '''Empathy fatigue questions'''. Choose your answers and click "Submit": <quiz display=simple> {Surface acting is when the observer actually feels the emotion: |type="()"} - True + False {Compassion fatigue and empathy fatigue are synonymous: |type="()"} - True + False </quiz> {{RoundBoxTop|theme=3}} '''What is the relationship between empathy fatigue and emotional exhaustion''' * Under the JD-R model, a sustained empathic response is a long-term job demand. * Under the CORT model, a sustained empathic response uses energy to protect existing resources. As resources become low and burnout sets in, cognitive focus narrows leading to empathy fatigue. {{RoundBoxBottom}} == Emotional labor as a mediating factor between empathy fatigue and emotional exhaustion == As a society there are expected [https://en.wikipedia.org/wiki/Social_norm social norms] in behaviour when expressing emotion, regardless if someone is conscious of the process of matching these norms or not. For example, laughing during an emotional speech at a funeral would be considered a rude or offensive expression from the other attendees. As social creatures, humans need a way to regulate socially appropriate emotional expression. This is the essence of Emotional labor: "the regulation of felt and expressed emotions (whether effortful or not) to match these emotional display rules with the objective of fulfilling organizational goals" (Vial & Cowgill, 2022) What is emotional labor (Hochschild, 2012). * Emotional labor is this * It happens because of a combination of Emotional contagion (emotions are contagious), and surface/deep acting === Emotional contagion === Emotional contagion as the theory to moderate surface/deep acting * Emotional contagion (Panksepp and Lahvis, 2011) ** emotions can spread (expand, combines empathy and acting) ** “the tendency to automatically mimic and synchronize expressions, vocalizations, postures, and movements with those of another person’s and, consequently, to converge emotionally.” (Elaine Hatfield, 1993) === Types of acting === * Surface acting ** This is where emotive dissonance comes into play ** Leads to emotional exhaustion (Kenworthy et al., 2014) ** "Should" language - in this situation, this is what I ''should'' feel * Deep acting ** People who 'deep act', as in genuinely change the way they feel (match the feelings they have with the feelings that they need to display) often report positive relationships with emotional labor ** Actual language - in this situation, this is what I ''actually'' feel Discuss the differences in gender norms and expectations in relationships {| class="wikitable" style="margin: auto; |- ! !! Deep acting !! Surface acting |- | '''Emotional dissonance''' || || X |- | '''Not known to others''' || Hidden area || Unknown |} === The mediating effect of emotional labor === Surface acting does not mediate the effect (high surface acting leads to emotional exhaustion) whereas the inverse is true for deep acting (Wrobel, 2013) Emotional Expression and Emotional Processing (Hoyt et al., 2024) {{RoundBoxTop|theme=3}} '''What role does emotional labor play in emotional exhaustion''' * In relation to the CORT and JD-R theories, emotional labor acts as a job demand and expenditure of resources to protect existing resources {{RoundBoxBottom}} == Strategies for combating empathy fatigue and emotional fatigue == * Talk about emotion regulation (Gross, 1998) and mood regulation strategies as a way to deal with coping (Wrobel, 2013) (Author's note: need more research/references for this section) * Talk about breaks ** Rest and downtime from not performing emotional labor regenerates * How do we reduce the amount of emotional labor we're performing (Jeung et al., 2018) ** Communication/boundaries ** Reducing surface acting (allowing ourselves to feel how we actually feel and reduce emotive dissonance) '''Table 1. Treatment phases of clinical burnout (based on Table 2 from van Dam, A. 2021)''' {| class="wikitable" style="margin: auto; |- ! Phase !! Treatment goal !! Therapeutic interventions |- | '''Phase 1: Crisis''' || Recognition of the patient that the problems are serious, and that serious action is required || Psychoeducation Sick leave Dropping domestic tasks and social obligations Inform social network |- | '''Phase 2: Recovery''' || Recovery of the (physiological) stress system to normal allostatic stress levels || Registration of stress and activities Relaxtion exercises Mindfulness healthy lifestyle advices Graded exercise Gradually resume activities Psychoeducation social network and employer Gradual return to work |- | '''Phase 3: Prevention, learning from the past''' || Acquiring insight and skills to prevent relapse in clinical burnout || Analysing stressful situations Analysing dysfunctional thought patterns Learning new coping skills Learning social skills Job crafting Time management Making choices regarding career and personal life |- | '''Phase 4: Post burnout growth''' || Improving sustainable quality of life. || Setting priorities regarding quality of life and interpersonal relationships. |} === Strategies for the workplace === * Discuss types of strategies that are available in the workplace (organisation models) * SCARF model (Aplin-Houtz, 2025) ** Link back to COR and JDR models e.g. praise could be a job resource vs criticism could be a job demand *Reduce workload to reduce emotional exhaustion, and by extension reduce emotional fatigue. {{RoundBoxTop|theme=3}} '''How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion''' *Psychoeducation has been shown to reduce the effects of emotional labor and empathy fatigue on emotional exhaustion {{RoundBoxBottom}} ==Conclusion== * Summarise what empathy fatigue is, and why people become emotionally exhausted (+ the role of emotional labor) * Summarise the symptoms and how to recognise them in yourself and someone else * Emphasise and summarise psychological strategies to support someone going through emotional exhaustion * Summarise ways to prevent emotional exhaustion from happening * Overall message is: *# What is emotional exhaustion *# how do you recognise it *# how do you treat it *# how do you prevent it * Link back to the focus questions ==See also== * [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2025/Metacognition_and_emotional_regulation&oldid=2756264 Metacognition and emotional regulation] (Book chapter, 2026) {{ic|Use an internal link style as shown in Tutorial 2}} * [[wikipedia:Conservation_of_resources_theory|Conservation of resources theory]] (Wikipedia) * [[wikipedia:Job_demands-resources_model|Job demands-resources model]] (Wikipedia) ==References== {{Hanging indent|1= Aplin-Houtz, M. (2025). Unraveling the SCARF: How dimensions of the SCARF model influence the relationship between workplace exclusion and turnover intentions. Journal of Management & Organization, 31(6), 2699–2725. https://doi.org/10.1017/jmo.2025.10026 Bošnjaković, J., & Radionov, T. (2018). Empathy: Concepts, Theories and Neuroscientific Basis. Alcoholism (Zagreb), 54(2), 123–150. https://doi.org/10.20471/de..2018.54.02.04 Chan, F. M. (2026). The State of Workplace Burnout 2026: The Workplace Divide. Infinite Potential, Sydney, Australia. https://www.ahri.com.au/wp-content/uploads/The-State-of-Workplace-Burnout-2026-Final.pdf Cui, F., Huang, X., Jing, Y., Luo, Y., Liu, J., & Gu, R. (2022). How resource sharing resists scarcity: the role of cognitive empathy and its neurobiological mechanisms. Cerebral Cortex (New York, N.Y. 1991), 32(23), 5330–5342. https://doi.org/10.1093/cercor/bhac017 De Beer, L. T., van der Vaart, L., Escaffi-Schwarz, M., De Witte, H., & Schaufeli, W. B. (2024). Maslach Burnout Inventory - General Survey: A Systematic Review and Meta-Analysis of Measurement Properties. European journal of psychological assessment : official organ of the European Association of Psychological Assessment, 40(5), 360-375. https://doi.org/10.1027/1015-5759/a000797 Demerouti, E., Bakker, A. B., Nachreiner, F., & Schaufeli, W. B. (2001). The Job Demands-Resources Model of Burnout. Journal of Applied Psychology, 86(3), 499–512. https://doi.org/10.1037/0021-9010.86.3.499 Figley, C. R. (2002). Compassion fatigue: Psychotherapists’ chronic lack of self care. Journal of Clinical Psychology, 58(11), 1433–1441. https://doi.org/10.1002/jclp.10090 Grandey, A. A. (2003). When ‘the show must go on’: surface acting and deep acting as determinants of emotional exhaustion and peer-rated service delivery. Academy of Management Journal, 46(1), 86–96. https://doi.org/10.5465/30040678 Gross, J. J. (1998). The emerging field of emotion regulation: An integrative review. Review of General Psychology, 2(3), 271–299. https://doi.org/10.1037/1089-2680.2.3.271 Halbesleben, J. R. B., Neveu, J.-P., Paustian-Underdahl, S. C., & Westman, M. (2014). Getting to the “COR”: Understanding the Role of Resources in Conservation of Resources Theory. Journal of Management, 40(5), 1334–1364. https://doi.org/10.1177/0149206314527130 Hatfield, E., Cacioppo, J. T., & Rapson, R. L. (1993). Emotional Contagion. Current Directions in Psychological Science : A Journal of the American Psychological Society, 2(3), 96–99. https://doi.org/10.1111/1467-8721.ep10770953 Hollebeek, L. D., Hammedi, W., & Sprott, D. E. (2023). Consumer engagement, stress, and conservation of resources theory: A review, conceptual development, and future research agenda. Psychology & marketing, 40(5), 926-937. https://doi.org/10.1002/mar.21807 Hobfoll, S. E. (1989). Conservation of Resources: A New Attempt at Conceptualizing Stress. The American Psychologist, 44(3), 513–524. https://doi.org/10.1037/0003-066X.44.3.513 Hochschild, A. R. (2012). The managed heart : commercialization of human feeling (Updated, with a new preface.). University of California Press. Jeung, D.-Y., Kim, C., & Chang, S.-J. (2018). Emotional Labor and Burnout: A Review of the Literature. Yonsei Medical Journal, 59(2), 187–193. https://doi.org/10.3349/ymj.2018.59.2.187 Lavelle, J. J., Rupp, D. E., Herda, D. N., Pandey, A., & Lauck, J. R. (2021). Customer Injustice and Employee Performance: Roles of Emotional Exhaustion, Surface Acting, and Emotional Demands–Abilities Fit. Journal of Management, 47(3), Article 0149206319869426. https://doi.org/10.1177/0149206319869426 Lloyd, C., & King, R. (2004). A survey of burnout among Australian mental health occupational therapists and social workers. Social Psychiatry and Psychiatric Epidemiology, 39(9), 752-757. https://doi.org/https://doi.org/10.1007/s00127-004-0808-7 Kenworthy, J., Fay, C., Frame, M., & Petree, R. (2014). A meta-analytic review of the relationship between emotional dissonance and emotional exhaustion. Journal of Applied Social Psychology, 44(2), 94-105. https://doi.org/https://doi.org/10.1111/jasp.12211 Martingano, A. J., Stosic, M. D., & Konrath, S. (2026). Different empathy types show opposing associations with burnout: systematic review and meta-analyses. Psychology, Health & Medicine, 31(3), 798-829. https://doi.org/10.1080/13548506.2025.2591859 Michielsen, H. J., Willemsen, T. M., Croon, M. A., de Vries, J., & Van Heck, G. L. (2004). Determinants of general fatigue and emotional exhaustion: a prospective study. Psychology & health, 19(2), 223-235. https://doi.org/10.1080/08870440310001627135 Panksepp, J. B., & Lahvis, G. P. (2011). Rodent empathy and affective neuroscience. Neuroscience and Biobehavioral Reviews, 35(9), 1864–1875. https://doi.org/10.1016/j.neubiorev.2011.05.013 Pooladvand, S., & Hasanzadeh, S. (2023). Impacts of Stress on Workers’ Risk-Taking Behaviors: Cognitive Tunneling and Impaired Selective Attention. Journal of Construction Engineering and Management, 149(8), 04023060. https://doi.org/doi:10.1061/JCEMD4.COENG-13339 Riess, H. (2017). The Science of Empathy. Journal of Patient Experience, 4(2), 74–77. https://doi.org/10.1177/2374373517699267 Schaufeli, W. B. (2017). Applying the job demands-resources model: a “how to” guide to measuring and tackling work engagement and burnout. Organizational Dynamics, 46(2), 120–132. https://doi.org/10.1016/j.orgdyn.2017.04.008 Schneiderman, N., Ironson, G., & Siegel, S. D. (2005). Stress and Health: Psychological, Behavioral, and Biological Determinants. Annual Review of Clinical Psychology, 1(Volume 1, 2005), 607-628. https://doi.org/https://doi.org/10.1146/annurev.clinpsy.1.102803.144141 Seidler, A., Thinschmidt, M., Deckert, S., Then, F., Hegewald, J., Nieuwenhuijsen, K., & Riedel-Heller, S. G. (2014). The role of psychosocial working conditions on burnout and its core component emotional exhaustion – a systematic review. Journal of Occupational Medicine and Toxicology, 9(1), 10. https://doi.org/10.1186/1745-6673-9-10 Shao, M., Li, L., Li, X., Wei, Z., Wang, J., Hong, M., Liu, X., & Meng, J. (2024). The effect of top-down attention on empathy fatigue. Cerebral Cortex (New York, N.Y. 1991), 34(1), Article bhad441. https://doi.org/10.1093/cercor/bhad441 van Dam, A. (2021). A clinical perspective on burnout: diagnosis, classification, and treatment of clinical burnout. European Journal of Work and Organizational Psychology, 30(5), 732-741. https://doi.org/10.1080/1359432X.2021.1948400 Vial, A. C., & Cowgill, C. M. (2022). Heavier Lies Her Crown: Gendered Patterns of Leader Emotional Labor and Their Downstream Effects. Frontiers in Psychology, 13, 849566. https://doi.org/https://doi.org/10.3389/fpsyg.2022.849566 Wharton, A. S. (2009). The Sociology of Emotional Labor. Annual Review of Sociology, 35(1), 147–165. https://doi.org/10.1146/annurev-soc-070308-115944 Wrobel, M. (2013). Can empathy lead to emotional exhaustion in teachers? The mediating role of emotional labor. International Journal of Occupational Medicine and Environmental Health, 26(4), 581–592. https://doi.org/10.2478/s13382-013-0123-1 }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Burnout]] [[Category:Motivation and emotion/Book/Empathy]] 3nuwp3006ctm9morgf57sfz0zzx9te8 2844322 2844311 2026-11-03T22:02:49Z U3143751 3106785 /* Empathy fatigue */ Updated multiple sections 2844322 wikitext text/x-wiki {{title|Empathy fatigue and emotional exhaustion:<br>How does sustained empathic engagement contribute to emotional exhaustion?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:Exhausted smartphone user.JPG|right|thumb|150px|'''Figure 1'''. An emotionally exhausted Aelin at the end of the work day]] ; Scenario Aelin, a 23-year-old social worker employed at headspace {{ic|Link to the Wikipedia article to help explain what this term means}}, works with approximately 20 {{ic|Explain what sort of}}Imagine you are only 23 years old and are working as a social worker at headspace. You see around 20 clients each week, many of whom have experienced rough living conditions. During your first six months in this role, you felt highly motivated and excited to help people in need. You are an excellent active listener and can easily remember details about your clients Live’s. You are also good at recognising signs of distress in your client’s body language and adjust yours in order to show warmth and understanding. As you progress in your role, you take on more cases that involve complex past traumas. The workload becomes too much for you to get done at work, but you don’t want your clients to miss out, so you take your work home to complete it in the evenings. Your workload increases again and you now start doing work on your weekends as well. After several months of working this way, you start to notice you feel exhausted every morning before you have even started work. You then start to notice you’re responding to people at work differently. Instead of your usual energised active listening response you feel frustrated, empathetic and detached. After work you are too drained to socialise with friends. This begins to worry you. What if you won’t be able to continue working as a social worker? {{RoundBoxBottom}} Aelin is experiencing '''emotional exhaustion''' from a sustained empathic response. Due to the nature of Aelin's work, they are constantly engaged in an empathic response. Empathic responses require cognitive and physical resources to sustain. Because Aelin is taking their work home and not resting on weekends, they do not have a chance to rest. It is important for Aelin to recognise what is happening and why. Not actioning the problem has led to empathy fatigue and emotional exhaustion. Emotional exhaustion is one of the key aspects of [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FEmpathy_fatigue_and_emotional_exhaustion&diff=2840411&oldid=2832859 burnout], a long-term condition of existing in a constant state of high stress. Psychological science can support Aelin in recognising and mapping the symptoms they are experiencing, understand coping strategies to minimise the current and future effects to improve their wellbeing. Understanding the symptoms will also support their role as a social worker, providing more tools for the people they support on a day-to-day basis. {{RoundBoxTop|theme=3}} '''Focus questions''' * Why do people become emotionally exhausted? * What is the relationship between empathy fatigue and emotional exhaustion? * What role does emotional labor play in emotional exhaustion? * How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion? {{RoundBoxBottom}} == Emotional exhaustion == To understand emotional exhaustion, it will be important to first understand burnout. Burnout is a long-term condition of existing in a constant state of high stress and affects millions of people annually. In the early 2000s, a survey from Australia found that more than 50% of social workers and occupational workers reported high levels of burnout symptoms (Llyod and King, 2004) and a recent report from 2026 found that more than one third of all workers in Australia were experiencing burnout (Chan, 2026). Being in a state of high stress for short periods of time is a useful adaptation for humans, so much so that it has been given a name, [[wikipedia:Eustress|Eustress]]. However, as a long-term condition it leads to individual health issues and can be linked to cardiovascular disease, increased vulnerability to upper respiratory diseases, and chronic inflammation (Schneiderman et al., 2005), and cognitive issues such as [[wikipedia:Inattentional_blindness|cognitive tunneling]] and impaired selective attention (Pooladvand and Hasanzadeh, 2023). Burnout can be defined across three dimensions: emotional exhaustion, [[wikipedia:Depersonalization|depersonalisation]], and reduced feelings of personal accomplishment (Maslach, 1993, as cited in Martingano et al., 2026). Emotional exhaustion may be considered the 'core' component of burnout and refers to the depletion of emotional resources, leading to feelings of overwhelm, overextension, and exhaustion (Martingano et al., 2026; De Beer et al., 2024; Seidler et al., 2014). As a major factor, its symptoms are similar to burnout and stress. Although antecedents of burnout are typically agreed upon (Bakker et al., 2014) and divided into individual (e.g. self-efficacy) and situational categories (e.g. work load), there are many theories that attempt to explain why emotional exhaustion occurs. Two of these theories with good evidence are the [[wikipedia:Conservation_of_resources_theory|Conservation of resources stress model]] (Hobfoll, 1989) and the [[wikipedia:Job_demands-resources_model|Job Demands-Resources model]] (Demerouti et al., 2001). === Conservation of resources stress model === The Conservation of resources stress model (CORT; Hobfall, 1989) is a theory that works to understand and explain why stress occurs. Under the model, humans are motivated to maintain, pursue, or attain resources. Stress, defined as "an individual's perceived pressure or strain" (Hollebeek et al., 2023 p.928), occurs when these resources are threatened or lost, or gained at a net loss. As noted above, resources aren't strictly tied to being physical objects. They can also be emotional states, conditions, or even ideas. For example, someone may place value on enjoying a calm, quiet Sunday morning at home. If their neighbour starts using power tools loudly next door, it would disrupt this state and induce stress in the individual. The CORT model focuses primarily on two principles. The first principle is that there is more harm in losing resources than there is in gaining them back (Halbesleben et al., 2014). This is known as loss salience, and some research suggests that the pain of loss is felt twice as strong as the pleasure of gain (Thaler, 2000). Looking at our previous example, imagine that the person who enjoys a quiet Sunday morning at home equally enjoys the sound of a loud car engine. Even though the person enjoys the sound of car engines, if the neighbour started revving their car loudly instead of using power tools, it would still disrupt their desired state of quiet and lead to an increase of stress. The second principle is that people must invest existing resources in order to gain or protect resources (Halbesleben et al., 2014). This resource investment includes recovering from resource loss. Coping is how people manage or overcome a difficult situation, such as protecting or recovering from resource loss. Coping can be broken down into different strategies that people use, but not all strategies are equal (Ito and Brotheridge, 2003). They are divided into two categories: control or escape strategies. Control strategies are considered better at reducing the strain from stress and consist of positive thinking, direct action, and help seeking (Havlovic & Keenan, 1991, as cited in Ito and Brotheridge, 2003). The most useful control strategies incorporate a person's [[locus of control]], emphasise seeking support from co-workers, and highlight the importance of autonomy in decision making. === Job demands-resources model === Another model that attempts to understand why people become emotionally exhausted is the Job Demands-Resources model (JD-R; Demerouti et al., 2001). The JD-R model discusses two concepts: job demands and job resources. Demands and resources are both related to the physical, social, or psychological aspects of a job, but differ in their impact on a person. Job demands require physical or mental effort and exhaust a person's energy supply. Job resources typically support achieving goals, reduce the effort cost of job demands, and stimulate personal growth (Richter and Hacker, 1998, as cited in Demerouti et al., 2001). For example, an unsustainable workload would be considered a job demand, and receiving help and support from others would be considered a resource. The JD-R has two primary processes for how demands and resources interact with one another (Schaufeli, 2017). The stress process occurs when job demands are high and resources are low. As stress increases strain and pressure on an individual, it leads to the exhaustion of their energy eventually, eventually leading to emotional exhaustion. The second process is the motivational process. This process occurs when there is an excess of job resources. Crucially, the motivational process does not require low job demands. With enough job resources, a person will be energised and engaged, reframing job demands as a challenge to overcome. Although job resources seem like a cure-all for demands, it's important to note that they do not retroactively treat emotional exhaustion. Under the JD-R model, burnout must be reduced by lowering job demands. However, once someone has recovered, it is possible to increase job resources alongside job demands to prevent future burnout and support [[wikipedia:Work_engagement|work engagement]]. Work engagement (engagement) has been discussed as the opposite of burnout (Bakker et al., 2014). Engagement is how people express themselves when performing a role. A role being a pattern of behaviour that a person goes through based on the social expectations of that role, similar to how an actor takes on a role for a movie. For example, when attending a typical restaurant, it is socially expected that a person will engage with the waiter and provide them with their meal order to take to the kitchen. This person is performing the script of a restaurant patron. In the context of a workplace, an employee with high engagement may appear to be energised, enthusiastic, and become absorbed in their work losing track of time (Bakkar et al, 2014). {{RoundBoxTop|theme=3}} '''Why do we feel emotionally exhausted''' The JD-R model and the CORT model do use different language and have slight differences, but are similar in how emotional exhaustion is considered, and share a solution to the problem. Emotional exhaustion occurs when the energy cost for completing tasks occur faster than a person can replenish it. If a person is emotionally exhausted, they will need to reduce their workload to recover and, as part of recovery, increasing autonomy (control) in decision making, and asking for help through social support, will lead to positive outcomes - reducing the likelihood of future exhaustion and increasing engagement (Bakker et al., 2014; Halbesleben et al., 2014). {{RoundBoxBottom}} == Empathy fatigue == You may be familiar with the term [[empathy]]. It is often described in terms of supporting others. For example, when someone close to you experiences a loss and is grieving, you may empathise with them and experience a negative emotion akin to grief too. However, empathy is not exclusive to so called negative emotions. For example, compersion is a positive empathic response when a loved one experiences joy. Parents may experience compersion when something joyful happens to their child. At its core, empathy is the individual ability to imagine or understand another person's feelings and/or emotions (Riess, 2017; Shao et al., 2024). Some research suggests that empathy is a [[wikipedia:Physiology|physiological]] process. One that is hardwired into our brains. Much like other physical or cognitive processes, such as running or problem solving, empathising will drain energy and resources. Further, and similar to the difference in energy expenditure between running and jogging, there are distinct types of empathy that each have different energy costs. === Types of empathy === Research makes a clear distinction between two types of empathy, affective and cognitive empathy. Affective empathy occurs when a person has an emotional reaction to someone else's mental state (Shao et al., 2024). This occurs because (unsure about this next part go through and update accordingly) ''unconscious processes interpret the social stimuli from another person leading to a physiological and cognitive response. These processes may interpret stimuli from any of the five senses.'' Cognitive empathy is when a person understands someone else's feelings or emotions (Cui et al., 2022). * Integrating the two - "affective component is the essence of empathy, and the cognitive component is a process through which that essence comes into being" (Bošnjaković & Radionov, 2018) ** (Author's note: change quote into paraphrasing) === Empathy or compassion fatigue === * Distinction between empathy and compassion fatigue * Compassion fatigue is closely related to Secondary traumatic stress usually found in healthcare professionals (Figley, 2002) ** Compassion fatigue is to Empathy fatigue as emotional exhaustion is to burnout * Make it clear that Aelin is experiencing Compassion Fatigue vs Empathy fatigue (they are the same but different) (Author's note: include an update to the scenario here!) '''Empathy fatigue questions'''. Choose your answers and click "Submit": <quiz display=simple> {Surface acting is when the observer actually feels the emotion: |type="()"} - True + False {Compassion fatigue and empathy fatigue are synonymous: |type="()"} - True + False </quiz> {{RoundBoxTop|theme=3}} '''What is the relationship between empathy fatigue and emotional exhaustion''' * Under the JD-R model, a sustained empathic response is a long-term job demand. * Under the CORT model, a sustained empathic response uses energy to protect existing resources. As resources become low and burnout sets in, cognitive focus narrows leading to empathy fatigue. {{RoundBoxBottom}} == Emotional labor as a mediating factor between empathy fatigue and emotional exhaustion == As a society there are expected [https://en.wikipedia.org/wiki/Social_norm social norms] in behaviour when expressing emotion, regardless if someone is conscious of the process of matching these norms or not. For example, laughing during an emotional speech at a funeral would be considered a rude or offensive expression from the other attendees. As social creatures, humans need a way to regulate socially appropriate emotional expression. This is the essence of Emotional labor: "the regulation of felt and expressed emotions (whether effortful or not) to match these emotional display rules with the objective of fulfilling organizational goals" (Vial & Cowgill, 2022) What is emotional labor (Hochschild, 2012). Theories behind emotional labor involve acting, and an extension of acting known as emotional contagion. === Types of acting === * Surface acting ** This is where emotive dissonance comes into play ** Leads to emotional exhaustion (Kenworthy et al., 2014) ** "Should" language - in this situation, this is what I ''should'' feel * Deep acting ** People who 'deep act', as in genuinely change the way they feel (match the feelings they have with the feelings that they need to display) often report positive relationships with emotional labor ** Actual language - in this situation, this is what I ''actually'' feel Discuss the differences in gender norms and expectations in relationships {| class="wikitable" style="margin: auto;" |- ! !! Deep acting !! Surface acting |- | '''Emotional dissonance''' || || X |- | '''Not known to others''' || Hidden area || Unknown |} === Emotional contagion === Emotional contagion is the idea that emotions are contagious. as the theory to moderate surface/deep acting * Emotional contagion (Panksepp and Lahvis, 2011) ** emotions can spread (expand, combines empathy and acting) ** “the tendency to automatically mimic and synchronize expressions, vocalizations, postures, and movements with those of another person’s and, consequently, to converge emotionally.” (Elaine Hatfield, 1993) * Affective process theory looks at unifying the mechanisms of emotional contagion into three types. Convergent linkage, Divergent linkage, and Complementary linkage (Elfenbein, 2014). Storytelling is a way to promote position emotions (Wei et al., 2024). === The mediating effect of emotional labor === Surface acting does not mediate the effect (high surface acting leads to emotional exhaustion) whereas the inverse is true for deep acting (Wrobel, 2013) Emotional Expression and Emotional Processing (Hoyt et al., 2024) {{RoundBoxTop|theme=3}} '''What role does emotional labor play in emotional exhaustion''' * In relation to the CORT and JD-R theories, emotional labor acts as a job demand and expenditure of resources to protect existing resources {{RoundBoxBottom}} == Strategies for combating empathy fatigue and emotional fatigue == * Talk about emotion regulation (Gross, 1998) and mood regulation strategies as a way to deal with coping (Wrobel, 2013) (Author's note: need more research/references for this section) * Talk about breaks ** Rest and downtime from not performing emotional labor regenerates * How do we reduce the amount of emotional labor we're performing (Jeung et al., 2018) ** Communication/boundaries ** Reducing surface acting (allowing ourselves to feel how we actually feel and reduce emotive dissonance) '''Table 1. Treatment phases of clinical burnout (based on Table 2 from van Dam, A. 2021)''' {| class="wikitable" style="margin: auto; |- ! Phase !! Treatment goal !! Therapeutic interventions |- | '''Phase 1: Crisis''' || Recognition of the patient that the problems are serious, and that serious action is required || Psychoeducation Sick leave Dropping domestic tasks and social obligations Inform social network |- | '''Phase 2: Recovery''' || Recovery of the (physiological) stress system to normal allostatic stress levels || Registration of stress and activities Relaxtion exercises Mindfulness healthy lifestyle advices Graded exercise Gradually resume activities Psychoeducation social network and employer Gradual return to work |- | '''Phase 3: Prevention, learning from the past''' || Acquiring insight and skills to prevent relapse in clinical burnout || Analysing stressful situations Analysing dysfunctional thought patterns Learning new coping skills Learning social skills Job crafting Time management Making choices regarding career and personal life |- | '''Phase 4: Post burnout growth''' || Improving sustainable quality of life. || Setting priorities regarding quality of life and interpersonal relationships. |} === Strategies for the workplace === * Discuss types of strategies that are available in the workplace (organisation models) * SCARF model (Aplin-Houtz, 2025) ** Link back to COR and JDR models e.g. praise could be a job resource vs criticism could be a job demand *Reduce workload to reduce emotional exhaustion, and by extension reduce emotional fatigue. {{RoundBoxTop|theme=3}} '''How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion''' *Psychoeducation has been shown to reduce the effects of emotional labor and empathy fatigue on emotional exhaustion {{RoundBoxBottom}} ==Conclusion== * Summarise what empathy fatigue is, and why people become emotionally exhausted (+ the role of emotional labor) * Summarise the symptoms and how to recognise them in yourself and someone else * Emphasise and summarise psychological strategies to support someone going through emotional exhaustion * Summarise ways to prevent emotional exhaustion from happening * Overall message is: *# What is emotional exhaustion *# how do you recognise it *# how do you treat it *# how do you prevent it * Link back to the focus questions ==See also== * [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2025/Metacognition_and_emotional_regulation&oldid=2756264 Metacognition and emotional regulation] (Book chapter, 2026) {{ic|Use an internal link style as shown in Tutorial 2}} * [[wikipedia:Conservation_of_resources_theory|Conservation of resources theory]] (Wikipedia) * [[wikipedia:Job_demands-resources_model|Job demands-resources model]] (Wikipedia) ==References== {{Hanging indent|1= Aplin-Houtz, M. (2025). Unraveling the SCARF: How dimensions of the SCARF model influence the relationship between workplace exclusion and turnover intentions. Journal of Management & Organization, 31(6), 2699–2725. https://doi.org/10.1017/jmo.2025.10026 Bošnjaković, J., & Radionov, T. (2018). Empathy: Concepts, Theories and Neuroscientific Basis. Alcoholism (Zagreb), 54(2), 123–150. https://doi.org/10.20471/de..2018.54.02.04 Chan, F. M. (2026). The State of Workplace Burnout 2026: The Workplace Divide. Infinite Potential, Sydney, Australia. https://www.ahri.com.au/wp-content/uploads/The-State-of-Workplace-Burnout-2026-Final.pdf Cui, F., Huang, X., Jing, Y., Luo, Y., Liu, J., & Gu, R. (2022). How resource sharing resists scarcity: the role of cognitive empathy and its neurobiological mechanisms. Cerebral Cortex (New York, N.Y. 1991), 32(23), 5330–5342. https://doi.org/10.1093/cercor/bhac017 De Beer, L. T., van der Vaart, L., Escaffi-Schwarz, M., De Witte, H., & Schaufeli, W. B. (2024). Maslach Burnout Inventory - General Survey: A Systematic Review and Meta-Analysis of Measurement Properties. European journal of psychological assessment : official organ of the European Association of Psychological Assessment, 40(5), 360-375. https://doi.org/10.1027/1015-5759/a000797 Demerouti, E., Bakker, A. B., Nachreiner, F., & Schaufeli, W. B. (2001). The Job Demands-Resources Model of Burnout. Journal of Applied Psychology, 86(3), 499–512. https://doi.org/10.1037/0021-9010.86.3.499 Figley, C. R. (2002). Compassion fatigue: Psychotherapists’ chronic lack of self care. Journal of Clinical Psychology, 58(11), 1433–1441. https://doi.org/10.1002/jclp.10090 Grandey, A. A. (2003). When ‘the show must go on’: surface acting and deep acting as determinants of emotional exhaustion and peer-rated service delivery. Academy of Management Journal, 46(1), 86–96. https://doi.org/10.5465/30040678 Gross, J. J. (1998). The emerging field of emotion regulation: An integrative review. Review of General Psychology, 2(3), 271–299. https://doi.org/10.1037/1089-2680.2.3.271 Halbesleben, J. R. B., Neveu, J.-P., Paustian-Underdahl, S. C., & Westman, M. (2014). Getting to the “COR”: Understanding the Role of Resources in Conservation of Resources Theory. Journal of Management, 40(5), 1334–1364. https://doi.org/10.1177/0149206314527130 Hatfield, E., Cacioppo, J. T., & Rapson, R. L. (1993). Emotional Contagion. Current Directions in Psychological Science : A Journal of the American Psychological Society, 2(3), 96–99. https://doi.org/10.1111/1467-8721.ep10770953 Hollebeek, L. D., Hammedi, W., & Sprott, D. E. (2023). Consumer engagement, stress, and conservation of resources theory: A review, conceptual development, and future research agenda. Psychology & marketing, 40(5), 926-937. https://doi.org/10.1002/mar.21807 Hobfoll, S. E. (1989). Conservation of Resources: A New Attempt at Conceptualizing Stress. The American Psychologist, 44(3), 513–524. https://doi.org/10.1037/0003-066X.44.3.513 Hochschild, A. R. (2012). The managed heart : commercialization of human feeling (Updated, with a new preface.). University of California Press. Jeung, D.-Y., Kim, C., & Chang, S.-J. (2018). Emotional Labor and Burnout: A Review of the Literature. Yonsei Medical Journal, 59(2), 187–193. https://doi.org/10.3349/ymj.2018.59.2.187 Lavelle, J. J., Rupp, D. E., Herda, D. N., Pandey, A., & Lauck, J. R. (2021). Customer Injustice and Employee Performance: Roles of Emotional Exhaustion, Surface Acting, and Emotional Demands–Abilities Fit. Journal of Management, 47(3), Article 0149206319869426. https://doi.org/10.1177/0149206319869426 Lloyd, C., & King, R. (2004). A survey of burnout among Australian mental health occupational therapists and social workers. Social Psychiatry and Psychiatric Epidemiology, 39(9), 752-757. https://doi.org/https://doi.org/10.1007/s00127-004-0808-7 Kenworthy, J., Fay, C., Frame, M., & Petree, R. (2014). A meta-analytic review of the relationship between emotional dissonance and emotional exhaustion. Journal of Applied Social Psychology, 44(2), 94-105. https://doi.org/https://doi.org/10.1111/jasp.12211 Martingano, A. J., Stosic, M. D., & Konrath, S. (2026). Different empathy types show opposing associations with burnout: systematic review and meta-analyses. Psychology, Health & Medicine, 31(3), 798-829. https://doi.org/10.1080/13548506.2025.2591859 Michielsen, H. J., Willemsen, T. M., Croon, M. A., de Vries, J., & Van Heck, G. L. (2004). Determinants of general fatigue and emotional exhaustion: a prospective study. Psychology & health, 19(2), 223-235. https://doi.org/10.1080/08870440310001627135 Panksepp, J. B., & Lahvis, G. P. (2011). Rodent empathy and affective neuroscience. Neuroscience and Biobehavioral Reviews, 35(9), 1864–1875. https://doi.org/10.1016/j.neubiorev.2011.05.013 Pooladvand, S., & Hasanzadeh, S. (2023). Impacts of Stress on Workers’ Risk-Taking Behaviors: Cognitive Tunneling and Impaired Selective Attention. Journal of Construction Engineering and Management, 149(8), 04023060. https://doi.org/doi:10.1061/JCEMD4.COENG-13339 Riess, H. (2017). The Science of Empathy. Journal of Patient Experience, 4(2), 74–77. https://doi.org/10.1177/2374373517699267 Schaufeli, W. B. (2017). Applying the job demands-resources model: a “how to” guide to measuring and tackling work engagement and burnout. Organizational Dynamics, 46(2), 120–132. https://doi.org/10.1016/j.orgdyn.2017.04.008 Schneiderman, N., Ironson, G., & Siegel, S. D. (2005). Stress and Health: Psychological, Behavioral, and Biological Determinants. Annual Review of Clinical Psychology, 1(Volume 1, 2005), 607-628. https://doi.org/https://doi.org/10.1146/annurev.clinpsy.1.102803.144141 Seidler, A., Thinschmidt, M., Deckert, S., Then, F., Hegewald, J., Nieuwenhuijsen, K., & Riedel-Heller, S. G. (2014). The role of psychosocial working conditions on burnout and its core component emotional exhaustion – a systematic review. Journal of Occupational Medicine and Toxicology, 9(1), 10. https://doi.org/10.1186/1745-6673-9-10 Shao, M., Li, L., Li, X., Wei, Z., Wang, J., Hong, M., Liu, X., & Meng, J. (2024). The effect of top-down attention on empathy fatigue. Cerebral Cortex (New York, N.Y. 1991), 34(1), Article bhad441. https://doi.org/10.1093/cercor/bhad441 van Dam, A. (2021). A clinical perspective on burnout: diagnosis, classification, and treatment of clinical burnout. European Journal of Work and Organizational Psychology, 30(5), 732-741. https://doi.org/10.1080/1359432X.2021.1948400 Vial, A. C., & Cowgill, C. M. (2022). Heavier Lies Her Crown: Gendered Patterns of Leader Emotional Labor and Their Downstream Effects. Frontiers in Psychology, 13, 849566. https://doi.org/https://doi.org/10.3389/fpsyg.2022.849566 Wharton, A. S. (2009). The Sociology of Emotional Labor. Annual Review of Sociology, 35(1), 147–165. https://doi.org/10.1146/annurev-soc-070308-115944 Wrobel, M. (2013). Can empathy lead to emotional exhaustion in teachers? The mediating role of emotional labor. International Journal of Occupational Medicine and Environmental Health, 26(4), 581–592. https://doi.org/10.2478/s13382-013-0123-1 }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Burnout]] [[Category:Motivation and emotion/Book/Empathy]] m4nrlzpkwpdt81wwohjzghbk37atr1p 2844346 2844322 2026-11-03T22:54:31Z U3143751 3106785 /* Types of empathy */ 2844346 wikitext text/x-wiki {{title|Empathy fatigue and emotional exhaustion:<br>How does sustained empathic engagement contribute to emotional exhaustion?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:Exhausted smartphone user.JPG|right|thumb|150px|'''Figure 1'''. An emotionally exhausted Aelin at the end of the work day]] ; Scenario Aelin, a 23-year-old social worker employed at headspace {{ic|Link to the Wikipedia article to help explain what this term means}}, works with approximately 20 {{ic|Explain what sort of}}Imagine you are only 23 years old and are working as a social worker at headspace. You see around 20 clients each week, many of whom have experienced rough living conditions. During your first six months in this role, you felt highly motivated and excited to help people in need. You are an excellent active listener and can easily remember details about your clients Live’s. You are also good at recognising signs of distress in your client’s body language and adjust yours in order to show warmth and understanding. As you progress in your role, you take on more cases that involve complex past traumas. The workload becomes too much for you to get done at work, but you don’t want your clients to miss out, so you take your work home to complete it in the evenings. Your workload increases again and you now start doing work on your weekends as well. After several months of working this way, you start to notice you feel exhausted every morning before you have even started work. You then start to notice you’re responding to people at work differently. Instead of your usual energised active listening response you feel frustrated, empathetic and detached. After work you are too drained to socialise with friends. This begins to worry you. What if you won’t be able to continue working as a social worker? {{RoundBoxBottom}} Aelin is experiencing '''emotional exhaustion''' from a sustained empathic response. Due to the nature of Aelin's work, they are constantly engaged in an empathic response. Empathic responses require cognitive and physical resources to sustain. Because Aelin is taking their work home and not resting on weekends, they do not have a chance to rest. It is important for Aelin to recognise what is happening and why. Not actioning the problem has led to empathy fatigue and emotional exhaustion. Emotional exhaustion is one of the key aspects of [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FEmpathy_fatigue_and_emotional_exhaustion&diff=2840411&oldid=2832859 burnout], a long-term condition of existing in a constant state of high stress. Psychological science can support Aelin in recognising and mapping the symptoms they are experiencing, understand coping strategies to minimise the current and future effects to improve their wellbeing. Understanding the symptoms will also support their role as a social worker, providing more tools for the people they support on a day-to-day basis. {{RoundBoxTop|theme=3}} '''Focus questions''' * Why do people become emotionally exhausted? * What is the relationship between empathy fatigue and emotional exhaustion? * What role does emotional labor play in emotional exhaustion? * How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion? {{RoundBoxBottom}} == Emotional exhaustion == To understand emotional exhaustion, it will be important to first understand burnout. Burnout is a long-term condition of existing in a constant state of high stress and affects millions of people annually. In the early 2000s, a survey from Australia found that more than 50% of social workers and occupational workers reported high levels of burnout symptoms (Llyod and King, 2004) and a recent report from 2026 found that more than one third of all workers in Australia were experiencing burnout (Chan, 2026). Being in a state of high stress for short periods of time is a useful adaptation for humans, so much so that it has been given a name, [[wikipedia:Eustress|Eustress]]. However, as a long-term condition it leads to individual health issues and can be linked to cardiovascular disease, increased vulnerability to upper respiratory diseases, and chronic inflammation (Schneiderman et al., 2005), and cognitive issues such as [[wikipedia:Inattentional_blindness|cognitive tunneling]] and impaired selective attention (Pooladvand and Hasanzadeh, 2023). Burnout can be defined across three dimensions: emotional exhaustion, [[wikipedia:Depersonalization|depersonalisation]], and reduced feelings of personal accomplishment (Maslach, 1993, as cited in Martingano et al., 2026). Emotional exhaustion may be considered the 'core' component of burnout and refers to the depletion of emotional resources, leading to feelings of overwhelm, overextension, and exhaustion (Martingano et al., 2026; De Beer et al., 2024; Seidler et al., 2014). As a major factor, its symptoms are similar to burnout and stress. Although antecedents of burnout are typically agreed upon (Bakker et al., 2014) and divided into individual (e.g. self-efficacy) and situational categories (e.g. work load), there are many theories that attempt to explain why emotional exhaustion occurs. Two of these theories with good evidence are the [[wikipedia:Conservation_of_resources_theory|Conservation of resources stress model]] (Hobfoll, 1989) and the [[wikipedia:Job_demands-resources_model|Job Demands-Resources model]] (Demerouti et al., 2001). === Conservation of resources stress model === The Conservation of resources stress model (CORT; Hobfall, 1989) is a theory that works to understand and explain why stress occurs. Under the model, humans are motivated to maintain, pursue, or attain resources. Stress, defined as "an individual's perceived pressure or strain" (Hollebeek et al., 2023 p.928), occurs when these resources are threatened or lost, or gained at a net loss. As noted above, resources aren't strictly tied to being physical objects. They can also be emotional states, conditions, or even ideas. For example, someone may place value on enjoying a calm, quiet Sunday morning at home. If their neighbour starts using power tools loudly next door, it would disrupt this state and induce stress in the individual. The CORT model focuses primarily on two principles. The first principle is that there is more harm in losing resources than there is in gaining them back (Halbesleben et al., 2014). This is known as loss salience, and some research suggests that the pain of loss is felt twice as strong as the pleasure of gain (Thaler, 2000). Looking at our previous example, imagine that the person who enjoys a quiet Sunday morning at home equally enjoys the sound of a loud car engine. Even though the person enjoys the sound of car engines, if the neighbour started revving their car loudly instead of using power tools, it would still disrupt their desired state of quiet and lead to an increase of stress. The second principle is that people must invest existing resources in order to gain or protect resources (Halbesleben et al., 2014). This resource investment includes recovering from resource loss. Coping is how people manage or overcome a difficult situation, such as protecting or recovering from resource loss. Coping can be broken down into different strategies that people use, but not all strategies are equal (Ito and Brotheridge, 2003). They are divided into two categories: control or escape strategies. Control strategies are considered better at reducing the strain from stress and consist of positive thinking, direct action, and help seeking (Havlovic & Keenan, 1991, as cited in Ito and Brotheridge, 2003). The most useful control strategies incorporate a person's [[locus of control]], emphasise seeking support from co-workers, and highlight the importance of autonomy in decision making. === Job demands-resources model === Another model that attempts to understand why people become emotionally exhausted is the Job Demands-Resources model (JD-R; Demerouti et al., 2001). The JD-R model discusses two concepts: job demands and job resources. Demands and resources are both related to the physical, social, or psychological aspects of a job, but differ in their impact on a person. Job demands require physical or mental effort and exhaust a person's energy supply. Job resources typically support achieving goals, reduce the effort cost of job demands, and stimulate personal growth (Richter and Hacker, 1998, as cited in Demerouti et al., 2001). For example, an unsustainable workload would be considered a job demand, and receiving help and support from others would be considered a resource. The JD-R has two primary processes for how demands and resources interact with one another (Schaufeli, 2017). The stress process occurs when job demands are high and resources are low. As stress increases strain and pressure on an individual, it leads to the exhaustion of their energy eventually, eventually leading to emotional exhaustion. The second process is the motivational process. This process occurs when there is an excess of job resources. Crucially, the motivational process does not require low job demands. With enough job resources, a person will be energised and engaged, reframing job demands as a challenge to overcome. Although job resources seem like a cure-all for demands, it's important to note that they do not retroactively treat emotional exhaustion. Under the JD-R model, burnout must be reduced by lowering job demands. However, once someone has recovered, it is possible to increase job resources alongside job demands to prevent future burnout and support [[wikipedia:Work_engagement|work engagement]]. Work engagement (engagement) has been discussed as the opposite of burnout (Bakker et al., 2014). Engagement is how people express themselves when performing a role. A role being a pattern of behaviour that a person goes through based on the social expectations of that role, similar to how an actor takes on a role for a movie. For example, when attending a typical restaurant, it is socially expected that a person will engage with the waiter and provide them with their meal order to take to the kitchen. This person is performing the script of a restaurant patron. In the context of a workplace, an employee with high engagement may appear to be energised, enthusiastic, and become absorbed in their work losing track of time (Bakkar et al, 2014). {{RoundBoxTop|theme=3}} '''Why do we feel emotionally exhausted''' The JD-R model and the CORT model do use different language and have slight differences, but are similar in how emotional exhaustion is considered, and share a solution to the problem. Emotional exhaustion occurs when the energy cost for completing tasks occur faster than a person can replenish it. If a person is emotionally exhausted, they will need to reduce their workload to recover and, as part of recovery, increasing autonomy (control) in decision making, and asking for help through social support, will lead to positive outcomes - reducing the likelihood of future exhaustion and increasing engagement (Bakker et al., 2014; Halbesleben et al., 2014). {{RoundBoxBottom}} == Empathy fatigue == You may be familiar with the term [[empathy]]. It is often described in terms of supporting others. For example, when someone close to you experiences a loss and is grieving, you may empathise with them and experience a negative emotion akin to grief too. However, empathy is not exclusive to so called negative emotions. For example, compersion is a positive empathic response when a loved one experiences joy. Parents may experience compersion when something joyful happens to their child. At its core, empathy is the individual ability to imagine or understand another person's feelings and/or emotions (Riess, 2017; Shao et al., 2024) and has four main components (Davis, 1983, as cited in Delgado et al., 2023): Perspective taking is xyz Empathic concern is xyz Personal distress is xyz Fantasy is xyz Much like physical or cognitive processes, such as running or problem solving, empathising will drain energy and resources. Further, and similar to the difference in energy expenditure between running and jogging, there are distinct types of empathy that each have different energy costs. === Types of empathy === Research makes a clear distinction between two types of empathy, affective and cognitive empathy. Affective empathy occurs when a person has an emotional reaction to someone else's mental state (Shao et al., 2024). This occurs because (unsure about this next part go through and update accordingly) ''unconscious processes interpret the social stimuli from another person leading to a physiological and cognitive response. These processes may interpret stimuli from any of the five senses.'' Cognitive empathy is when a person understands someone else's feelings or emotions (Cui et al., 2022). * Integrating the two - "affective component is the essence of empathy, and the cognitive component is a process through which that essence comes into being" (Bošnjaković & Radionov, 2018) ** (Author's note: change quote into paraphrasing) * === Empathy or compassion fatigue === * Distinction between empathy and compassion fatigue * Compassion fatigue is closely related to Secondary traumatic stress usually found in healthcare professionals (Figley, 2002) ** Compassion fatigue is to Empathy fatigue as emotional exhaustion is to burnout * Make it clear that Aelin is experiencing Compassion Fatigue vs Empathy fatigue (they are the same but different) (Author's note: include an update to the scenario here!) '''Empathy fatigue questions'''. Choose your answers and click "Submit": <quiz display=simple> {Surface acting is when the observer actually feels the emotion: |type="()"} - True + False {Compassion fatigue and empathy fatigue are synonymous: |type="()"} - True + False </quiz> {{RoundBoxTop|theme=3}} '''What is the relationship between empathy fatigue and emotional exhaustion''' * Under the JD-R model, a sustained empathic response is a long-term job demand. * Under the CORT model, a sustained empathic response uses energy to protect existing resources. As resources become low and burnout sets in, cognitive focus narrows leading to empathy fatigue. {{RoundBoxBottom}} == Emotional labor as a mediating factor between empathy fatigue and emotional exhaustion == As a society there are expected [https://en.wikipedia.org/wiki/Social_norm social norms] in behaviour when expressing emotion, regardless if someone is conscious of the process of matching these norms or not. For example, laughing during an emotional speech at a funeral would be considered a rude or offensive expression from the other attendees. As social creatures, humans need a way to regulate socially appropriate emotional expression. This is the essence of Emotional labor: "the regulation of felt and expressed emotions (whether effortful or not) to match these emotional display rules with the objective of fulfilling organizational goals" (Vial & Cowgill, 2022) What is emotional labor (Hochschild, 2012). Theories behind emotional labor involve acting, and an extension of acting known as emotional contagion. === Types of acting === * Surface acting ** This is where emotive dissonance comes into play ** Leads to emotional exhaustion (Kenworthy et al., 2014) ** "Should" language - in this situation, this is what I ''should'' feel * Deep acting ** People who 'deep act', as in genuinely change the way they feel (match the feelings they have with the feelings that they need to display) often report positive relationships with emotional labor ** Actual language - in this situation, this is what I ''actually'' feel Discuss the differences in gender norms and expectations in relationships {| class="wikitable" style="margin: auto;" |- ! !! Deep acting !! Surface acting |- | '''Emotional dissonance''' || || X |- | '''Not known to others''' || Hidden area || Unknown |} === Emotional contagion === Emotional contagion is the idea that emotions are contagious. as the theory to moderate surface/deep acting * Emotional contagion (Panksepp and Lahvis, 2011) ** emotions can spread (expand, combines empathy and acting) ** “the tendency to automatically mimic and synchronize expressions, vocalizations, postures, and movements with those of another person’s and, consequently, to converge emotionally.” (Elaine Hatfield, 1993) * Affective process theory looks at unifying the mechanisms of emotional contagion into three types. Convergent linkage, Divergent linkage, and Complementary linkage (Elfenbein, 2014). Storytelling is a way to promote position emotions (Wei et al., 2024). === The mediating effect of emotional labor === Surface acting does not mediate the effect (high surface acting leads to emotional exhaustion) whereas the inverse is true for deep acting (Wrobel, 2013) Emotional Expression and Emotional Processing (Hoyt et al., 2024) {{RoundBoxTop|theme=3}} '''What role does emotional labor play in emotional exhaustion''' * In relation to the CORT and JD-R theories, emotional labor acts as a job demand and expenditure of resources to protect existing resources {{RoundBoxBottom}} == Strategies for combating empathy fatigue and emotional fatigue == * Talk about emotion regulation (Gross, 1998) and mood regulation strategies as a way to deal with coping (Wrobel, 2013) (Author's note: need more research/references for this section) * Talk about breaks ** Rest and downtime from not performing emotional labor regenerates * How do we reduce the amount of emotional labor we're performing (Jeung et al., 2018) ** Communication/boundaries ** Reducing surface acting (allowing ourselves to feel how we actually feel and reduce emotive dissonance) '''Table 1. Treatment phases of clinical burnout (based on Table 2 from van Dam, A. 2021)''' {| class="wikitable" style="margin: auto; |- ! Phase !! Treatment goal !! Therapeutic interventions |- | '''Phase 1: Crisis''' || Recognition of the patient that the problems are serious, and that serious action is required || Psychoeducation Sick leave Dropping domestic tasks and social obligations Inform social network |- | '''Phase 2: Recovery''' || Recovery of the (physiological) stress system to normal allostatic stress levels || Registration of stress and activities Relaxtion exercises Mindfulness healthy lifestyle advices Graded exercise Gradually resume activities Psychoeducation social network and employer Gradual return to work |- | '''Phase 3: Prevention, learning from the past''' || Acquiring insight and skills to prevent relapse in clinical burnout || Analysing stressful situations Analysing dysfunctional thought patterns Learning new coping skills Learning social skills Job crafting Time management Making choices regarding career and personal life |- | '''Phase 4: Post burnout growth''' || Improving sustainable quality of life. || Setting priorities regarding quality of life and interpersonal relationships. |} === Strategies for the workplace === * Discuss types of strategies that are available in the workplace (organisation models) * SCARF model (Aplin-Houtz, 2025) ** Link back to COR and JDR models e.g. praise could be a job resource vs criticism could be a job demand *Reduce workload to reduce emotional exhaustion, and by extension reduce emotional fatigue. {{RoundBoxTop|theme=3}} '''How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion''' *Psychoeducation has been shown to reduce the effects of emotional labor and empathy fatigue on emotional exhaustion {{RoundBoxBottom}} ==Conclusion== * Summarise what empathy fatigue is, and why people become emotionally exhausted (+ the role of emotional labor) * Summarise the symptoms and how to recognise them in yourself and someone else * Emphasise and summarise psychological strategies to support someone going through emotional exhaustion * Summarise ways to prevent emotional exhaustion from happening * Overall message is: *# What is emotional exhaustion *# how do you recognise it *# how do you treat it *# how do you prevent it * Link back to the focus questions ==See also== * [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2025/Metacognition_and_emotional_regulation&oldid=2756264 Metacognition and emotional regulation] (Book chapter, 2026) {{ic|Use an internal link style as shown in Tutorial 2}} * [[wikipedia:Conservation_of_resources_theory|Conservation of resources theory]] (Wikipedia) * [[wikipedia:Job_demands-resources_model|Job demands-resources model]] (Wikipedia) ==References== {{Hanging indent|1= Aplin-Houtz, M. (2025). Unraveling the SCARF: How dimensions of the SCARF model influence the relationship between workplace exclusion and turnover intentions. Journal of Management & Organization, 31(6), 2699–2725. https://doi.org/10.1017/jmo.2025.10026 Bošnjaković, J., & Radionov, T. (2018). Empathy: Concepts, Theories and Neuroscientific Basis. Alcoholism (Zagreb), 54(2), 123–150. https://doi.org/10.20471/de..2018.54.02.04 Chan, F. M. (2026). The State of Workplace Burnout 2026: The Workplace Divide. Infinite Potential, Sydney, Australia. https://www.ahri.com.au/wp-content/uploads/The-State-of-Workplace-Burnout-2026-Final.pdf Cui, F., Huang, X., Jing, Y., Luo, Y., Liu, J., & Gu, R. (2022). How resource sharing resists scarcity: the role of cognitive empathy and its neurobiological mechanisms. Cerebral Cortex (New York, N.Y. 1991), 32(23), 5330–5342. https://doi.org/10.1093/cercor/bhac017 De Beer, L. T., van der Vaart, L., Escaffi-Schwarz, M., De Witte, H., & Schaufeli, W. B. (2024). Maslach Burnout Inventory - General Survey: A Systematic Review and Meta-Analysis of Measurement Properties. European journal of psychological assessment : official organ of the European Association of Psychological Assessment, 40(5), 360-375. https://doi.org/10.1027/1015-5759/a000797 Demerouti, E., Bakker, A. B., Nachreiner, F., & Schaufeli, W. B. (2001). The Job Demands-Resources Model of Burnout. Journal of Applied Psychology, 86(3), 499–512. https://doi.org/10.1037/0021-9010.86.3.499 Figley, C. R. (2002). Compassion fatigue: Psychotherapists’ chronic lack of self care. Journal of Clinical Psychology, 58(11), 1433–1441. https://doi.org/10.1002/jclp.10090 Grandey, A. A. (2003). When ‘the show must go on’: surface acting and deep acting as determinants of emotional exhaustion and peer-rated service delivery. Academy of Management Journal, 46(1), 86–96. https://doi.org/10.5465/30040678 Gross, J. J. (1998). The emerging field of emotion regulation: An integrative review. Review of General Psychology, 2(3), 271–299. https://doi.org/10.1037/1089-2680.2.3.271 Halbesleben, J. R. B., Neveu, J.-P., Paustian-Underdahl, S. C., & Westman, M. (2014). Getting to the “COR”: Understanding the Role of Resources in Conservation of Resources Theory. Journal of Management, 40(5), 1334–1364. https://doi.org/10.1177/0149206314527130 Hatfield, E., Cacioppo, J. T., & Rapson, R. L. (1993). Emotional Contagion. Current Directions in Psychological Science : A Journal of the American Psychological Society, 2(3), 96–99. https://doi.org/10.1111/1467-8721.ep10770953 Hollebeek, L. D., Hammedi, W., & Sprott, D. E. (2023). Consumer engagement, stress, and conservation of resources theory: A review, conceptual development, and future research agenda. Psychology & marketing, 40(5), 926-937. https://doi.org/10.1002/mar.21807 Hobfoll, S. E. (1989). Conservation of Resources: A New Attempt at Conceptualizing Stress. The American Psychologist, 44(3), 513–524. https://doi.org/10.1037/0003-066X.44.3.513 Hochschild, A. R. (2012). The managed heart : commercialization of human feeling (Updated, with a new preface.). University of California Press. Jeung, D.-Y., Kim, C., & Chang, S.-J. (2018). Emotional Labor and Burnout: A Review of the Literature. Yonsei Medical Journal, 59(2), 187–193. https://doi.org/10.3349/ymj.2018.59.2.187 Lavelle, J. J., Rupp, D. E., Herda, D. N., Pandey, A., & Lauck, J. R. (2021). Customer Injustice and Employee Performance: Roles of Emotional Exhaustion, Surface Acting, and Emotional Demands–Abilities Fit. Journal of Management, 47(3), Article 0149206319869426. https://doi.org/10.1177/0149206319869426 Lloyd, C., & King, R. (2004). A survey of burnout among Australian mental health occupational therapists and social workers. Social Psychiatry and Psychiatric Epidemiology, 39(9), 752-757. https://doi.org/https://doi.org/10.1007/s00127-004-0808-7 Kenworthy, J., Fay, C., Frame, M., & Petree, R. (2014). A meta-analytic review of the relationship between emotional dissonance and emotional exhaustion. Journal of Applied Social Psychology, 44(2), 94-105. https://doi.org/https://doi.org/10.1111/jasp.12211 Martingano, A. J., Stosic, M. D., & Konrath, S. (2026). Different empathy types show opposing associations with burnout: systematic review and meta-analyses. Psychology, Health & Medicine, 31(3), 798-829. https://doi.org/10.1080/13548506.2025.2591859 Michielsen, H. J., Willemsen, T. M., Croon, M. A., de Vries, J., & Van Heck, G. L. (2004). Determinants of general fatigue and emotional exhaustion: a prospective study. Psychology & health, 19(2), 223-235. https://doi.org/10.1080/08870440310001627135 Panksepp, J. B., & Lahvis, G. P. (2011). Rodent empathy and affective neuroscience. Neuroscience and Biobehavioral Reviews, 35(9), 1864–1875. https://doi.org/10.1016/j.neubiorev.2011.05.013 Pooladvand, S., & Hasanzadeh, S. (2023). Impacts of Stress on Workers’ Risk-Taking Behaviors: Cognitive Tunneling and Impaired Selective Attention. Journal of Construction Engineering and Management, 149(8), 04023060. https://doi.org/doi:10.1061/JCEMD4.COENG-13339 Riess, H. (2017). The Science of Empathy. Journal of Patient Experience, 4(2), 74–77. https://doi.org/10.1177/2374373517699267 Schaufeli, W. B. (2017). Applying the job demands-resources model: a “how to” guide to measuring and tackling work engagement and burnout. Organizational Dynamics, 46(2), 120–132. https://doi.org/10.1016/j.orgdyn.2017.04.008 Schneiderman, N., Ironson, G., & Siegel, S. D. (2005). Stress and Health: Psychological, Behavioral, and Biological Determinants. Annual Review of Clinical Psychology, 1(Volume 1, 2005), 607-628. https://doi.org/https://doi.org/10.1146/annurev.clinpsy.1.102803.144141 Seidler, A., Thinschmidt, M., Deckert, S., Then, F., Hegewald, J., Nieuwenhuijsen, K., & Riedel-Heller, S. G. (2014). The role of psychosocial working conditions on burnout and its core component emotional exhaustion – a systematic review. Journal of Occupational Medicine and Toxicology, 9(1), 10. https://doi.org/10.1186/1745-6673-9-10 Shao, M., Li, L., Li, X., Wei, Z., Wang, J., Hong, M., Liu, X., & Meng, J. (2024). The effect of top-down attention on empathy fatigue. Cerebral Cortex (New York, N.Y. 1991), 34(1), Article bhad441. https://doi.org/10.1093/cercor/bhad441 van Dam, A. (2021). A clinical perspective on burnout: diagnosis, classification, and treatment of clinical burnout. European Journal of Work and Organizational Psychology, 30(5), 732-741. https://doi.org/10.1080/1359432X.2021.1948400 Vial, A. C., & Cowgill, C. M. (2022). Heavier Lies Her Crown: Gendered Patterns of Leader Emotional Labor and Their Downstream Effects. Frontiers in Psychology, 13, 849566. https://doi.org/https://doi.org/10.3389/fpsyg.2022.849566 Wharton, A. S. (2009). The Sociology of Emotional Labor. Annual Review of Sociology, 35(1), 147–165. https://doi.org/10.1146/annurev-soc-070308-115944 Wrobel, M. (2013). Can empathy lead to emotional exhaustion in teachers? The mediating role of emotional labor. International Journal of Occupational Medicine and Environmental Health, 26(4), 581–592. https://doi.org/10.2478/s13382-013-0123-1 }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Burnout]] [[Category:Motivation and emotion/Book/Empathy]] t7n1nypyjeawbp9idnv9pqmofktq2cl 2844348 2844346 2026-11-03T22:56:34Z U3143751 3106785 /* Empathy fatigue */ 2844348 wikitext text/x-wiki {{title|Empathy fatigue and emotional exhaustion:<br>How does sustained empathic engagement contribute to emotional exhaustion?}} __TOC__ ==Overview== {{RoundBoxTop|theme=3}} [[File:Exhausted smartphone user.JPG|right|thumb|150px|'''Figure 1'''. An emotionally exhausted Aelin at the end of the work day]] ; Scenario Aelin, a 23-year-old social worker employed at headspace {{ic|Link to the Wikipedia article to help explain what this term means}}, works with approximately 20 {{ic|Explain what sort of}}Imagine you are only 23 years old and are working as a social worker at headspace. You see around 20 clients each week, many of whom have experienced rough living conditions. During your first six months in this role, you felt highly motivated and excited to help people in need. You are an excellent active listener and can easily remember details about your clients Live’s. You are also good at recognising signs of distress in your client’s body language and adjust yours in order to show warmth and understanding. As you progress in your role, you take on more cases that involve complex past traumas. The workload becomes too much for you to get done at work, but you don’t want your clients to miss out, so you take your work home to complete it in the evenings. Your workload increases again and you now start doing work on your weekends as well. After several months of working this way, you start to notice you feel exhausted every morning before you have even started work. You then start to notice you’re responding to people at work differently. Instead of your usual energised active listening response you feel frustrated, empathetic and detached. After work you are too drained to socialise with friends. This begins to worry you. What if you won’t be able to continue working as a social worker? {{RoundBoxBottom}} Aelin is experiencing '''emotional exhaustion''' from a sustained empathic response. Due to the nature of Aelin's work, they are constantly engaged in an empathic response. Empathic responses require cognitive and physical resources to sustain. Because Aelin is taking their work home and not resting on weekends, they do not have a chance to rest. It is important for Aelin to recognise what is happening and why. Not actioning the problem has led to empathy fatigue and emotional exhaustion. Emotional exhaustion is one of the key aspects of [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FEmpathy_fatigue_and_emotional_exhaustion&diff=2840411&oldid=2832859 burnout], a long-term condition of existing in a constant state of high stress. Psychological science can support Aelin in recognising and mapping the symptoms they are experiencing, understand coping strategies to minimise the current and future effects to improve their wellbeing. Understanding the symptoms will also support their role as a social worker, providing more tools for the people they support on a day-to-day basis. {{RoundBoxTop|theme=3}} '''Focus questions''' * Why do people become emotionally exhausted? * What is the relationship between empathy fatigue and emotional exhaustion? * What role does emotional labor play in emotional exhaustion? * How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion? {{RoundBoxBottom}} == Emotional exhaustion == To understand emotional exhaustion, it will be important to first understand burnout. Burnout is a long-term condition of existing in a constant state of high stress and affects millions of people annually. In the early 2000s, a survey from Australia found that more than 50% of social workers and occupational workers reported high levels of burnout symptoms (Llyod and King, 2004) and a recent report from 2026 found that more than one third of all workers in Australia were experiencing burnout (Chan, 2026). Being in a state of high stress for short periods of time is a useful adaptation for humans, so much so that it has been given a name, [[wikipedia:Eustress|Eustress]]. However, as a long-term condition it leads to individual health issues and can be linked to cardiovascular disease, increased vulnerability to upper respiratory diseases, and chronic inflammation (Schneiderman et al., 2005), and cognitive issues such as [[wikipedia:Inattentional_blindness|cognitive tunneling]] and impaired selective attention (Pooladvand and Hasanzadeh, 2023). Burnout can be defined across three dimensions: emotional exhaustion, [[wikipedia:Depersonalization|depersonalisation]], and reduced feelings of personal accomplishment (Maslach, 1993, as cited in Martingano et al., 2026). Emotional exhaustion may be considered the 'core' component of burnout and refers to the depletion of emotional resources, leading to feelings of overwhelm, overextension, and exhaustion (Martingano et al., 2026; De Beer et al., 2024; Seidler et al., 2014). As a major factor, its symptoms are similar to burnout and stress. Although antecedents of burnout are typically agreed upon (Bakker et al., 2014) and divided into individual (e.g. self-efficacy) and situational categories (e.g. work load), there are many theories that attempt to explain why emotional exhaustion occurs. Two of these theories with good evidence are the [[wikipedia:Conservation_of_resources_theory|Conservation of resources stress model]] (Hobfoll, 1989) and the [[wikipedia:Job_demands-resources_model|Job Demands-Resources model]] (Demerouti et al., 2001). === Conservation of resources stress model === The Conservation of resources stress model (CORT; Hobfall, 1989) is a theory that works to understand and explain why stress occurs. Under the model, humans are motivated to maintain, pursue, or attain resources. Stress, defined as "an individual's perceived pressure or strain" (Hollebeek et al., 2023 p.928), occurs when these resources are threatened or lost, or gained at a net loss. As noted above, resources aren't strictly tied to being physical objects. They can also be emotional states, conditions, or even ideas. For example, someone may place value on enjoying a calm, quiet Sunday morning at home. If their neighbour starts using power tools loudly next door, it would disrupt this state and induce stress in the individual. The CORT model focuses primarily on two principles. The first principle is that there is more harm in losing resources than there is in gaining them back (Halbesleben et al., 2014). This is known as loss salience, and some research suggests that the pain of loss is felt twice as strong as the pleasure of gain (Thaler, 2000). Looking at our previous example, imagine that the person who enjoys a quiet Sunday morning at home equally enjoys the sound of a loud car engine. Even though the person enjoys the sound of car engines, if the neighbour started revving their car loudly instead of using power tools, it would still disrupt their desired state of quiet and lead to an increase of stress. The second principle is that people must invest existing resources in order to gain or protect resources (Halbesleben et al., 2014). This resource investment includes recovering from resource loss. Coping is how people manage or overcome a difficult situation, such as protecting or recovering from resource loss. Coping can be broken down into different strategies that people use, but not all strategies are equal (Ito and Brotheridge, 2003). They are divided into two categories: control or escape strategies. Control strategies are considered better at reducing the strain from stress and consist of positive thinking, direct action, and help seeking (Havlovic & Keenan, 1991, as cited in Ito and Brotheridge, 2003). The most useful control strategies incorporate a person's [[locus of control]], emphasise seeking support from co-workers, and highlight the importance of autonomy in decision making. === Job demands-resources model === Another model that attempts to understand why people become emotionally exhausted is the Job Demands-Resources model (JD-R; Demerouti et al., 2001). The JD-R model discusses two concepts: job demands and job resources. Demands and resources are both related to the physical, social, or psychological aspects of a job, but differ in their impact on a person. Job demands require physical or mental effort and exhaust a person's energy supply. Job resources typically support achieving goals, reduce the effort cost of job demands, and stimulate personal growth (Richter and Hacker, 1998, as cited in Demerouti et al., 2001). For example, an unsustainable workload would be considered a job demand, and receiving help and support from others would be considered a resource. The JD-R has two primary processes for how demands and resources interact with one another (Schaufeli, 2017). The stress process occurs when job demands are high and resources are low. As stress increases strain and pressure on an individual, it leads to the exhaustion of their energy eventually, eventually leading to emotional exhaustion. The second process is the motivational process. This process occurs when there is an excess of job resources. Crucially, the motivational process does not require low job demands. With enough job resources, a person will be energised and engaged, reframing job demands as a challenge to overcome. Although job resources seem like a cure-all for demands, it's important to note that they do not retroactively treat emotional exhaustion. Under the JD-R model, burnout must be reduced by lowering job demands. However, once someone has recovered, it is possible to increase job resources alongside job demands to prevent future burnout and support [[wikipedia:Work_engagement|work engagement]]. Work engagement (engagement) has been discussed as the opposite of burnout (Bakker et al., 2014). Engagement is how people express themselves when performing a role. A role being a pattern of behaviour that a person goes through based on the social expectations of that role, similar to how an actor takes on a role for a movie. For example, when attending a typical restaurant, it is socially expected that a person will engage with the waiter and provide them with their meal order to take to the kitchen. This person is performing the script of a restaurant patron. In the context of a workplace, an employee with high engagement may appear to be energised, enthusiastic, and become absorbed in their work losing track of time (Bakkar et al, 2014). {{RoundBoxTop|theme=3}} '''Why do we feel emotionally exhausted''' The JD-R model and the CORT model do use different language and have slight differences, but are similar in how emotional exhaustion is considered, and share a solution to the problem. Emotional exhaustion occurs when the energy cost for completing tasks occur faster than a person can replenish it. If a person is emotionally exhausted, they will need to reduce their workload to recover and, as part of recovery, increasing autonomy (control) in decision making, and asking for help through social support, will lead to positive outcomes - reducing the likelihood of future exhaustion and increasing engagement (Bakker et al., 2014; Halbesleben et al., 2014). {{RoundBoxBottom}} == Empathy fatigue == You may be familiar with the term [[empathy]]. It is often described in terms of supporting others. For example, when someone close to you experiences a loss and is grieving, you may empathise with them and experience a negative emotion akin to grief too. However, empathy is not exclusive to so called negative emotions. For example, compersion is a positive empathic response when a loved one experiences joy. Parents may experience compersion when something joyful happens to their child. At its core, empathy is the individual ability to imagine or understand another person's feelings and/or emotions (Riess, 2017; Shao et al., 2024) and has four main components (Davis, 1983, as cited in Delgado et al., 2023): * Empathic concern is xyz * Fantasy is xyz * Perspective taking is xyz * Personal distress is xyz Much like physical or cognitive processes, such as running or problem solving, empathising will drain energy and resources. Further, and similar to the difference in energy expenditure between running and jogging, there are distinct types of empathy that each have different energy costs. === Types of empathy === Research makes a clear distinction between two types of empathy, affective and cognitive empathy. Affective empathy occurs when a person has an emotional reaction to someone else's mental state (Shao et al., 2024). This occurs because (unsure about this next part go through and update accordingly) ''unconscious processes interpret the social stimuli from another person leading to a physiological and cognitive response. These processes may interpret stimuli from any of the five senses.'' Cognitive empathy is when a person understands someone else's feelings or emotions (Cui et al., 2022). * Integrating the two - "affective component is the essence of empathy, and the cognitive component is a process through which that essence comes into being" (Bošnjaković & Radionov, 2018) ** (Author's note: change quote into paraphrasing) * === Empathy or compassion fatigue === * Distinction between empathy and compassion fatigue * Compassion fatigue is closely related to Secondary traumatic stress usually found in healthcare professionals (Figley, 2002) ** Compassion fatigue is to Empathy fatigue as emotional exhaustion is to burnout * Make it clear that Aelin is experiencing Compassion Fatigue vs Empathy fatigue (they are the same but different) (Author's note: include an update to the scenario here!) '''Empathy fatigue questions'''. Choose your answers and click "Submit": <quiz display=simple> {Surface acting is when the observer actually feels the emotion: |type="()"} - True + False {Compassion fatigue and empathy fatigue are synonymous: |type="()"} - True + False </quiz> {{RoundBoxTop|theme=3}} '''What is the relationship between empathy fatigue and emotional exhaustion''' * Under the JD-R model, a sustained empathic response is a long-term job demand. * Under the CORT model, a sustained empathic response uses energy to protect existing resources. As resources become low and burnout sets in, cognitive focus narrows leading to empathy fatigue. {{RoundBoxBottom}} == Emotional labor as a mediating factor between empathy fatigue and emotional exhaustion == As a society there are expected [https://en.wikipedia.org/wiki/Social_norm social norms] in behaviour when expressing emotion, regardless if someone is conscious of the process of matching these norms or not. For example, laughing during an emotional speech at a funeral would be considered a rude or offensive expression from the other attendees. As social creatures, humans need a way to regulate socially appropriate emotional expression. This is the essence of Emotional labor: "the regulation of felt and expressed emotions (whether effortful or not) to match these emotional display rules with the objective of fulfilling organizational goals" (Vial & Cowgill, 2022) What is emotional labor (Hochschild, 2012). Theories behind emotional labor involve acting, and an extension of acting known as emotional contagion. === Types of acting === * Surface acting ** This is where emotive dissonance comes into play ** Leads to emotional exhaustion (Kenworthy et al., 2014) ** "Should" language - in this situation, this is what I ''should'' feel * Deep acting ** People who 'deep act', as in genuinely change the way they feel (match the feelings they have with the feelings that they need to display) often report positive relationships with emotional labor ** Actual language - in this situation, this is what I ''actually'' feel Discuss the differences in gender norms and expectations in relationships {| class="wikitable" style="margin: auto;" |- ! !! Deep acting !! Surface acting |- | '''Emotional dissonance''' || || X |- | '''Not known to others''' || Hidden area || Unknown |} === Emotional contagion === Emotional contagion is the idea that emotions are contagious. as the theory to moderate surface/deep acting * Emotional contagion (Panksepp and Lahvis, 2011) ** emotions can spread (expand, combines empathy and acting) ** “the tendency to automatically mimic and synchronize expressions, vocalizations, postures, and movements with those of another person’s and, consequently, to converge emotionally.” (Elaine Hatfield, 1993) * Affective process theory looks at unifying the mechanisms of emotional contagion into three types. Convergent linkage, Divergent linkage, and Complementary linkage (Elfenbein, 2014). Storytelling is a way to promote position emotions (Wei et al., 2024). === The mediating effect of emotional labor === Surface acting does not mediate the effect (high surface acting leads to emotional exhaustion) whereas the inverse is true for deep acting (Wrobel, 2013) Emotional Expression and Emotional Processing (Hoyt et al., 2024) {{RoundBoxTop|theme=3}} '''What role does emotional labor play in emotional exhaustion''' * In relation to the CORT and JD-R theories, emotional labor acts as a job demand and expenditure of resources to protect existing resources {{RoundBoxBottom}} == Strategies for combating empathy fatigue and emotional fatigue == * Talk about emotion regulation (Gross, 1998) and mood regulation strategies as a way to deal with coping (Wrobel, 2013) (Author's note: need more research/references for this section) * Talk about breaks ** Rest and downtime from not performing emotional labor regenerates * How do we reduce the amount of emotional labor we're performing (Jeung et al., 2018) ** Communication/boundaries ** Reducing surface acting (allowing ourselves to feel how we actually feel and reduce emotive dissonance) '''Table 1. Treatment phases of clinical burnout (based on Table 2 from van Dam, A. 2021)''' {| class="wikitable" style="margin: auto; |- ! Phase !! Treatment goal !! Therapeutic interventions |- | '''Phase 1: Crisis''' || Recognition of the patient that the problems are serious, and that serious action is required || Psychoeducation Sick leave Dropping domestic tasks and social obligations Inform social network |- | '''Phase 2: Recovery''' || Recovery of the (physiological) stress system to normal allostatic stress levels || Registration of stress and activities Relaxtion exercises Mindfulness healthy lifestyle advices Graded exercise Gradually resume activities Psychoeducation social network and employer Gradual return to work |- | '''Phase 3: Prevention, learning from the past''' || Acquiring insight and skills to prevent relapse in clinical burnout || Analysing stressful situations Analysing dysfunctional thought patterns Learning new coping skills Learning social skills Job crafting Time management Making choices regarding career and personal life |- | '''Phase 4: Post burnout growth''' || Improving sustainable quality of life. || Setting priorities regarding quality of life and interpersonal relationships. |} === Strategies for the workplace === * Discuss types of strategies that are available in the workplace (organisation models) * SCARF model (Aplin-Houtz, 2025) ** Link back to COR and JDR models e.g. praise could be a job resource vs criticism could be a job demand *Reduce workload to reduce emotional exhaustion, and by extension reduce emotional fatigue. {{RoundBoxTop|theme=3}} '''How does understanding emotional labor and empathy fatigue work to reduce the effects of emotional exhaustion''' *Psychoeducation has been shown to reduce the effects of emotional labor and empathy fatigue on emotional exhaustion {{RoundBoxBottom}} ==Conclusion== * Summarise what empathy fatigue is, and why people become emotionally exhausted (+ the role of emotional labor) * Summarise the symptoms and how to recognise them in yourself and someone else * Emphasise and summarise psychological strategies to support someone going through emotional exhaustion * Summarise ways to prevent emotional exhaustion from happening * Overall message is: *# What is emotional exhaustion *# how do you recognise it *# how do you treat it *# how do you prevent it * Link back to the focus questions ==See also== * [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2025/Metacognition_and_emotional_regulation&oldid=2756264 Metacognition and emotional regulation] (Book chapter, 2026) {{ic|Use an internal link style as shown in Tutorial 2}} * [[wikipedia:Conservation_of_resources_theory|Conservation of resources theory]] (Wikipedia) * [[wikipedia:Job_demands-resources_model|Job demands-resources model]] (Wikipedia) ==References== {{Hanging indent|1= Aplin-Houtz, M. (2025). Unraveling the SCARF: How dimensions of the SCARF model influence the relationship between workplace exclusion and turnover intentions. Journal of Management & Organization, 31(6), 2699–2725. https://doi.org/10.1017/jmo.2025.10026 Bošnjaković, J., & Radionov, T. (2018). Empathy: Concepts, Theories and Neuroscientific Basis. Alcoholism (Zagreb), 54(2), 123–150. https://doi.org/10.20471/de..2018.54.02.04 Chan, F. M. (2026). The State of Workplace Burnout 2026: The Workplace Divide. Infinite Potential, Sydney, Australia. https://www.ahri.com.au/wp-content/uploads/The-State-of-Workplace-Burnout-2026-Final.pdf Cui, F., Huang, X., Jing, Y., Luo, Y., Liu, J., & Gu, R. (2022). How resource sharing resists scarcity: the role of cognitive empathy and its neurobiological mechanisms. Cerebral Cortex (New York, N.Y. 1991), 32(23), 5330–5342. https://doi.org/10.1093/cercor/bhac017 De Beer, L. T., van der Vaart, L., Escaffi-Schwarz, M., De Witte, H., & Schaufeli, W. B. (2024). Maslach Burnout Inventory - General Survey: A Systematic Review and Meta-Analysis of Measurement Properties. European journal of psychological assessment : official organ of the European Association of Psychological Assessment, 40(5), 360-375. https://doi.org/10.1027/1015-5759/a000797 Demerouti, E., Bakker, A. B., Nachreiner, F., & Schaufeli, W. B. (2001). The Job Demands-Resources Model of Burnout. Journal of Applied Psychology, 86(3), 499–512. https://doi.org/10.1037/0021-9010.86.3.499 Figley, C. R. (2002). Compassion fatigue: Psychotherapists’ chronic lack of self care. Journal of Clinical Psychology, 58(11), 1433–1441. https://doi.org/10.1002/jclp.10090 Grandey, A. A. (2003). When ‘the show must go on’: surface acting and deep acting as determinants of emotional exhaustion and peer-rated service delivery. Academy of Management Journal, 46(1), 86–96. https://doi.org/10.5465/30040678 Gross, J. J. (1998). The emerging field of emotion regulation: An integrative review. Review of General Psychology, 2(3), 271–299. https://doi.org/10.1037/1089-2680.2.3.271 Halbesleben, J. R. B., Neveu, J.-P., Paustian-Underdahl, S. C., & Westman, M. (2014). Getting to the “COR”: Understanding the Role of Resources in Conservation of Resources Theory. Journal of Management, 40(5), 1334–1364. https://doi.org/10.1177/0149206314527130 Hatfield, E., Cacioppo, J. T., & Rapson, R. L. (1993). Emotional Contagion. Current Directions in Psychological Science : A Journal of the American Psychological Society, 2(3), 96–99. https://doi.org/10.1111/1467-8721.ep10770953 Hollebeek, L. D., Hammedi, W., & Sprott, D. E. (2023). Consumer engagement, stress, and conservation of resources theory: A review, conceptual development, and future research agenda. Psychology & marketing, 40(5), 926-937. https://doi.org/10.1002/mar.21807 Hobfoll, S. E. (1989). Conservation of Resources: A New Attempt at Conceptualizing Stress. The American Psychologist, 44(3), 513–524. https://doi.org/10.1037/0003-066X.44.3.513 Hochschild, A. R. (2012). The managed heart : commercialization of human feeling (Updated, with a new preface.). University of California Press. Jeung, D.-Y., Kim, C., & Chang, S.-J. (2018). Emotional Labor and Burnout: A Review of the Literature. Yonsei Medical Journal, 59(2), 187–193. https://doi.org/10.3349/ymj.2018.59.2.187 Lavelle, J. J., Rupp, D. E., Herda, D. N., Pandey, A., & Lauck, J. R. (2021). Customer Injustice and Employee Performance: Roles of Emotional Exhaustion, Surface Acting, and Emotional Demands–Abilities Fit. Journal of Management, 47(3), Article 0149206319869426. https://doi.org/10.1177/0149206319869426 Lloyd, C., & King, R. (2004). A survey of burnout among Australian mental health occupational therapists and social workers. Social Psychiatry and Psychiatric Epidemiology, 39(9), 752-757. https://doi.org/https://doi.org/10.1007/s00127-004-0808-7 Kenworthy, J., Fay, C., Frame, M., & Petree, R. (2014). A meta-analytic review of the relationship between emotional dissonance and emotional exhaustion. Journal of Applied Social Psychology, 44(2), 94-105. https://doi.org/https://doi.org/10.1111/jasp.12211 Martingano, A. J., Stosic, M. D., & Konrath, S. (2026). Different empathy types show opposing associations with burnout: systematic review and meta-analyses. Psychology, Health & Medicine, 31(3), 798-829. https://doi.org/10.1080/13548506.2025.2591859 Michielsen, H. J., Willemsen, T. M., Croon, M. A., de Vries, J., & Van Heck, G. L. (2004). Determinants of general fatigue and emotional exhaustion: a prospective study. Psychology & health, 19(2), 223-235. https://doi.org/10.1080/08870440310001627135 Panksepp, J. B., & Lahvis, G. P. (2011). Rodent empathy and affective neuroscience. Neuroscience and Biobehavioral Reviews, 35(9), 1864–1875. https://doi.org/10.1016/j.neubiorev.2011.05.013 Pooladvand, S., & Hasanzadeh, S. (2023). Impacts of Stress on Workers’ Risk-Taking Behaviors: Cognitive Tunneling and Impaired Selective Attention. Journal of Construction Engineering and Management, 149(8), 04023060. https://doi.org/doi:10.1061/JCEMD4.COENG-13339 Riess, H. (2017). The Science of Empathy. Journal of Patient Experience, 4(2), 74–77. https://doi.org/10.1177/2374373517699267 Schaufeli, W. B. (2017). Applying the job demands-resources model: a “how to” guide to measuring and tackling work engagement and burnout. Organizational Dynamics, 46(2), 120–132. https://doi.org/10.1016/j.orgdyn.2017.04.008 Schneiderman, N., Ironson, G., & Siegel, S. D. (2005). Stress and Health: Psychological, Behavioral, and Biological Determinants. Annual Review of Clinical Psychology, 1(Volume 1, 2005), 607-628. https://doi.org/https://doi.org/10.1146/annurev.clinpsy.1.102803.144141 Seidler, A., Thinschmidt, M., Deckert, S., Then, F., Hegewald, J., Nieuwenhuijsen, K., & Riedel-Heller, S. G. (2014). The role of psychosocial working conditions on burnout and its core component emotional exhaustion – a systematic review. Journal of Occupational Medicine and Toxicology, 9(1), 10. https://doi.org/10.1186/1745-6673-9-10 Shao, M., Li, L., Li, X., Wei, Z., Wang, J., Hong, M., Liu, X., & Meng, J. (2024). The effect of top-down attention on empathy fatigue. Cerebral Cortex (New York, N.Y. 1991), 34(1), Article bhad441. https://doi.org/10.1093/cercor/bhad441 van Dam, A. (2021). A clinical perspective on burnout: diagnosis, classification, and treatment of clinical burnout. European Journal of Work and Organizational Psychology, 30(5), 732-741. https://doi.org/10.1080/1359432X.2021.1948400 Vial, A. C., & Cowgill, C. M. (2022). Heavier Lies Her Crown: Gendered Patterns of Leader Emotional Labor and Their Downstream Effects. Frontiers in Psychology, 13, 849566. https://doi.org/https://doi.org/10.3389/fpsyg.2022.849566 Wharton, A. S. (2009). The Sociology of Emotional Labor. Annual Review of Sociology, 35(1), 147–165. https://doi.org/10.1146/annurev-soc-070308-115944 Wrobel, M. (2013). Can empathy lead to emotional exhaustion in teachers? The mediating role of emotional labor. International Journal of Occupational Medicine and Environmental Health, 26(4), 581–592. https://doi.org/10.2478/s13382-013-0123-1 }} ==External links== Provide [[Help:Contents/Links#External_links|external links]] to highly relevant resources such as podcasts and videos, news articles, and professional sites. Use [[w:Letter case#Sentence casing|sentence casing]] and alphabetical order. For example: * [https://students.unimelb.edu.au/academic-skills/explore-our-resources/essay-writing/six-top-tips-for-writing-a-great-essay Six top tips for writing a great essay] (University of Melbourne) * [http://www.skillsyouneed.com/write/structure.html The importance of structure] (skillsyouneed.com) {{tip|Suggestions for this section: * Only select links to major external resources about the topic * Include the source in parentheses after the link }} [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Burnout]] [[Category:Motivation and emotion/Book/Empathy]] k5rjgav8sotg57blf3m58yn59lwrpyq 2 331307 2844299 2838897 2026-11-03T21:11:49Z Jtneill 10242 /* Social Contributions */ 2844299 wikitext text/x-wiki == About me:) == Hey! I am a third-year Psychological Science student studying at the [https://www.canberra.edu.au/ University of Canberra]. I am here on Wikiversity for my [[Motivation and emotion|Motivation and Emotion]] unit. [[File:Hiking trail to Biskupská kupa, Czechia.jpg|thumb|250x250px|Figure 1. Walking in nature is a wonderful thing]] My hobbies: * [[w:Reading|Reading]] * Make-up and fashion * Playing sport * Trying new things and experiences * All things health and wellness == My Book Chapter == [[Motivation and emotion/Book/2026/Neurobiology of love]] == Social contributions == # https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2026/Functional_motives_theory_and_environmental_activism&action=history # https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2026/Types_of_impulsivity&action=history # https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion/Book/2026/Wisdom,_motivation,_and_emotion&action=history dzq9vynymyq3t5nwlqp9c4hc3xu2hdn 0 331322 2844318 2839600 2026-11-03T21:57:26Z Jtneill 10242 Copyediting 2844318 wikitext text/x-wiki {{title|Neurobiology of love:<br>What neural systems and biochemical processes underlie love?}} __TOC__ == Overview == {{RoundBoxTop|theme=3}} [[File:Drawn love hearts.svg|thumb|140px|Figure 1. Neurobiology of love- a love heart |172x172px]] Imagine this... Imagine meeting someone who immediately captures your attention. Your heart races when they are nearby, you find yourself thinking about them constantly, and time together becomes increasingly rewarding. As the relationship develops, these intense feelings may gradually transform into deeper emotional security and attachment. But what happens within the brain to produce these experiences, and why does love have such a powerful influence on human behaviour? {{RoundBoxBottom}} As a complex emotional and motivational experience, romantic love involves interconnected [[wikipedia:Biology_of_romantic_love|neural systems and biochemical processes]] (Walum & Young, 2018). Love is associated with activity across networks involved in [[wikipedia:Reward_theory_of_attraction|reward]], motivation, [[wikipedia:Emotional_intimacy|emotional processing, and social bonding]], rather than originating from a single brain region or chemical (Fisher et al., 2006). Neurotransmitters and hormones, including dopamine, oxytocin, and vasopressin, have been associated with attraction and attachment, while brain regions such as the ventral tegmental area (VTA), hypothalamus, and prefrontal cortex contribute to various aspects of romantic experiences (Aron et al., 2005). Understanding the neurobiology of love provides insight into why individuals experience intense romantic attraction, seek closeness with partners, and develop enduring emotional bonds. Nevertheless, the biological mechanisms underlying love are intricate, and research continues to explore how neural activity and biochemical signalling interact with psychological and social factors. This chapter examines the neural systems and biochemical processes associated with romantic love. It uses neurobiological theories and empirical research to explain their roles in attraction, motivation, attachment, and long-term bonding. {{RoundBoxTop}} ;Focus questions {{ic|Use bullet points as shown in Tutorial 2}} 1. What brain regions and neural systems are involved in love? 2. What neurotransmitters and hormones contribute to the experience of love? 3. How do biochemical and neural processes contribute to attachment and long-term bonding? 4. How does the brain's motivation and reward system contribute to romantic love? {{RoundBoxBottom}} == Brain regions and neural systems involved in love == Romantic love involves many interlinked brain regions responsible for reward, motivation, emotional processing and social behaviour. Neuroimaging research suggests that love does not result from a single brain structure, but from coordinated activity across multiple neural networks (Ortigue et al., 2010). Understanding these regions helps explain how romantic love can affect emotions, decision-making, and behaviour. [[File:Brain regions involved in memory formation.jpg|thumb|Figure 2. Brain Regions {{expand}}]] === '''The ventral tegmental area (VTA)''' === [[wikipedia:Ventral_tegmental_area|The midbrain's ventral tegmental area (VTA)]] is critical for reward processing and motivation. It is home to dopamine-producing neurons that signal to other brain regions that are involved in reward-related learning and goal-directed behaviour. {{f}} Aron et al. (2005) examined the brain activity of 17 participants in the early phase of romantic love through functional magnetic resonance imaging (fMRI). Participants were shown images of their romantic partners and acquaintances. While viewing their partners, researchers noted increased activation in dopamine-rich areas, specifically the VTA and [[wikipedia:Caudate_nucleus|caudate nucleus.]] These results indicate that romantic love activates brain pathways linked to reward and motivation and may contribute to the intense need for intimacy and closeness with a romantic partner. Nonetheless, the comparatively small sample size limits the results applicability. Furthermore, [[wikipedia:Functional_magnetic_resonance_imaging|fMRI]] assesses changes in blood oxygenation rather than directly measuring dopamine release, so the research cannot confirm dopamine's causal role in romantic affection. === '''Hypothalamus''' === The [[wikipedia:Hypothalamus|hypothalamus]] regulates physiological functions such as hormonal activity, sexual behaviour, and certain aspects of social bonding. Its relevance to understanding the biological processes associated with love comes from its connections to neuroendocrine systems. Zeki (2007) reviewed neuroimaging evidence on romantic and maternal love, emphasising the involvement of reward-related brain regions and systems associated with oxytocin and vasopressin signalling. These neuropeptides are particularly relevant to attachment and social bonding. However, the hypothalamus should not be regarded as a solitary ‘love centre’ (see Figure 2). Its functions are not limited to romantic relationships, and the subjective experience of love cannot be fully explained by evidence regarding hormonal mechanisms. This underscores the importance of understanding love as a multifaceted interaction among psychological, biochemical, and neural processes. === '''Amygdala and prefrontal cortex''' === The [[wikipedia:Prefrontal_cortex|prefrontal cortex]] is responsible for the regulation of behaviour, decision-making, and evaluation, while the [[wikipedia:Amygdala|amygdala]] is involved in the processing of emotionally significant information, including potential threats. Research has identified variations in activity within regions that are associated with emotional evaluation during romantic love. For instance, Aron et al. (2005) observed that participants' amygdala activity was diminished when they viewed their romantic partners in comparison to familiar individuals. Zeki (2007) also reported decreased activity in regions linked to negative emotions and social judgements during romantic and maternal love. These findings may help explain why individuals occasionally assess romantic partners more favourably or become less attentive to potential negative attributes. Nevertheless, reduced neural activity does not necessarily indicate impaired judgement, and the results do not suggest that the entire prefrontal cortex shows reduced activity during romantic relationships, because different prefrontal regions perform distinct functions. Overall, the evidence suggests that romantic love results from the interaction of neural systems, not a single brain region. Reward-related activities may contribute to romantic motivation, while emotion and evaluation networks influence how individuals perceive and respond to their partners. {| class="wikitable" |+Table 1. Brain regions and their proposed contributions to romantic love {{f}} !Brain region !Primary function !Relevance to love |- |VTA |Reward and motivation |Motivates pursuit of romantic partners |- |Hypothalamus |Hormonal and physiological regulation |Contributes to processes associated with sexual behaviour and bonding |- |Amygdala |Emotional salience and threat processing |Shows altered activity during romantic love |- |Prefrontal cortex |Decision-making and social evaluation |Contributes to evaluation of romantic partners |- |Caudate nucleus |Reward learning and goal-directed behaviour |Associated with romantic motivation |} == Neurotransmitters and hormones involved in love == Romantic love involves intricate physiological mechanisms that determine attraction, motivation, emotional responses, and attachment. Neurotransmitters are chemical messengers that carry signals between neurons, whereas hormones circulate in the bloodstream and influence physiological and behavioural processes. Dopamine and serotonin regulate reward and mood, while oxytocin and vasopressin are neuropeptides that can act as hormones and signalling molecules in the brain. Rather than acting independently, these substances work with brain circuits to alter various facets of romantic love (Fisher et al., 2006; Walum & Young, 2018). === Dopamine === [[wikipedia:Dopamine|Dopamine]] has an important role in reward processing, motivation, and reinforcement, making it especially vital to romantic attraction. Dopaminergic pathways, particularly those originating in the ventral tegmental area (VTA), support goal-directed behaviour and anticipation of pleasurable experiences. Aron et al. (2005) used functional magnetic resonance imaging (fMRI) to study {{ic|how many}} people experiencing strong passionate love. When participants saw photos of their love partners, they showed greater activation in dopamine-rich brain areas. These findings lend support to the idea that romantic love is a motivating condition that drives people to seek intimacy and contact with their relationships. However, fMRI does not directly detect dopamine release. As a result, activation in dopamine-rich areas provides indirect evidence of dopamine involvement rather than establishing a causal association between dopamine and romantic love. === Serotonin === [[wikipedia:Serotonin|Serotonin]] regulates mood, processes emotions, and aids cognition {{f}}. Researchers studied whether serotonergic activity contributes to persistent or intrusive thoughts common during early romantic attraction. Marazziti et al. (1999) compared {{who}} {{where}} those who had just fallen in love to those with obsessive-compulsive disorder (OCD) and healthy controls. Both the romantic-love and OCD groups had lower platelet serotonin transporter binding compared to controls. This research shows a link between early romantic love and changes in serotonergic activity. However, platelet serotonin transporter binding is a peripheral test that does not directly determine serotonin concentrations or activity in the brain. The study was also limited by indirect serotonin measurement and limited generalisability, so its findings should not be interpreted as proof that falling in love decreases brain serotonin or that romantic love is synonymous with OCD. === Oxytocin and vasopressin === [[wikipedia:Oxytocin|Oxytocin]] and [[wikipedia:Vasopressin|vasopressin]] are neuropeptides produced largely in the hypothalamus and are linked to social behaviour, attachment, and pair bonding. Because of its role in social bonding and affiliative actions, oxytocin is commonly known as the 'love hormone' (see Figure 2). However, its effects are context-dependent and go beyond romantic relationships. Walum and Young (2018) examined {{ic|what sort of?}} research on the brain processes of pair bonding, emphasising the role of oxytocin and vasopressin signalling in attachment-related behaviours. Experiments with prairie voles {{f}} have shown that these neuropeptide systems interact with reward circuitry during partner preference formation. Nonetheless, animal research provides some of the strongest causal evidence {{how}}. Species differences, combined with the complexities of human relationships, limit how directly these findings apply to human romantic love. Overall, dopamine, serotonin, oxytocin, and vasopressin play important roles in biological systems related to romantic attraction and bonding. However, no single chemical causes love. Romantic experiences result from connections between physiological signals, brain networks, individual psychology, and social experiences. {| class="wikitable" |+Table 2. Biochemical processes associated with romantic love {{f}} !Chemical !Main functions !Relevance to love |- |Dopamine |Reward, motivation, reinforcement |Romantic pursuit and reward-related learning |- |Serotonin |Mood and cognitive regulation |Potential association with persistent romantic thoughts |- |Oxytocin |Social signalling and affiliative behaviour |Social bonding and partner-related attachment |- |Vasopressin |Social recognition and behavioural regulation |Pair bonding and mate-guarding behaviours in animal research |} == Neurobiology of attachment and long-term bonding == [[File:Oxytocin hormone 15.tif|thumb|140x140px|'''Figure 3.''' Illustration representing oxytocin, a neuropeptide involved in social bonding and attachment. Although commonly called the 'love hormone', oxytocin has diverse physiological and behavioural functions.]] Romantic attachment is the formation of long-lasting emotional ties that foster closeness, security, and relationship preservation {{f}}. While early romantic love is frequently marked by great attraction and motivation, long-term bonding involves brain mechanisms related to reward, emotional control, and social attachment. These processes are controlled by interactions between dopamine, oxytocin, and vasopressin, rather than a single biological mechanism (Walum & Young, 2018). === Pair bonding === [[wikipedia:Pair_bond|Pair bonding]] refers to the development of a selected and relatively long-lasting relationship between romantic partners. According to neurobiological research, pair bonding occurs through connections between the brain's reward circuitry and neuropeptide signalling systems. Walum and Young (2018) evaluated experimental data on prairie voles, a species that is well investigated due to its ability to acquire selective partner preferences. Their review discusses how oxytocin, vasopressin, and dopamine signals influence partner preference creation and maintenance. These findings imply that bonding entails learning to identify a specific partner with positive social experiences {{explain}}. However, animal studies provide a significant amount of causative data. Although these discoveries shed light on biological pathways, human love relationships are also influenced by numerous cognitive, cultural, and social factors. === Early-stage romantic love === [[wikipedia:Biology_of_romantic_love|Early-stage romantic love]] is commonly associated with intense attraction, heightened attention towards a partner, and a strong motivation to maintain closeness {{ic|consider linking here to the falling in love chapter}}. Aron et al. (2005) used functional magnetic resonance imaging (fMRI) to analyse individuals in the early stages of romantic love. When participants viewed images of their romantic relationships, they demonstrated enhanced activity in dopamine-rich brain regions such as the ventral tegmental area and caudate nucleus {{ic|Repetitive; this is third description of this study in the chapter}}. Importantly, reward-related brain activity is not restricted to the initial stages of love relationships. Acevedo et al. (2012) studied {{how}} {{ic|how many?}} persons {{where}} who reported intense romantic love after an average of 21 years of marriage. They found activity in reward-related regions, including the VTA, suggesting that romantic drive can persist in long-term relationships. However, both studies used relatively small sample sizes and correlational neuroimaging methods. As a result, the data show connections between romantic experiences and brain activity rather than determining the biological origins of long-term love. {| class="wikitable" |+Table 3. Early-stage romantic love compared with long-term bonding {{f}} !Feature !Early-stage romantic love !Long-term bonding |- |Emotional experience |Intense attraction and excitement |Security, familiarity and attachment |- |Neural systems |Reward and motivation circuitry |Reward, bonding and emotion-regulation systems |- |Biochemical processes |Dopamine-related signalling |Dopamine, oxytocin and vasopressin interactions |- |Behavioural patterns |Strong attention and desire for closeness |Partner preference and relationship maintenance |} === Attachment styles === [[wikipedia:Attachment_theory|Attachment theory]] proposes that early caregiving experiences shape internal expectations about relationships, which might influence attachment patterns in adulthood {{f}}. Adult romantic attachment is frequently investigated using the variables of attachment anxiety and avoidance. Individuals with higher [[wikipedia:Anxious-preoccupied_attachment|attachment anxiety]] may have increased fears of rejection, whilst those with higher attachment avoidance may be less comfortable with emotional closeness. These behaviours can affect emotional regulation and how people respond to relationship challenges. Gillath et al. (2005) used fMRI to explore the neurological correlates of adult attachment and discovered {{ic|direction? strength?}} correlations between attachment-related features and brain activity patterns during attachment-related thinking. This implies that differences in attachment may be mirrored in brain responses. However, attachment styles should not be viewed as fixed biological categories. Neuroimaging research does not show that specific brain regions produce attachment styles, and relationship experiences can affect attachment patterns over time. Overall, research {{f}} indicates that long-term romantic attachment requires connections between reward processing, neurochemical signalling, and emotional regulation. While neurobiological pathways help us bond, psychological experiences and relationship contexts are also vital to understanding how romantic relationships form and endure. {{RoundBoxTop|theme=3}} ;Case study: Love and attachment Mia and Jack have been in a relationship for three years. When Jack travels for work, Mia often worries he is losing interest, despite reassurance. Jack, however, sometimes responds to emotional conversations by withdrawing. These behaviours may reflect differences in attachment anxiety and avoidance. Although attachment-related responses involve neural systems associated with emotional regulation and threat processing, brain chemistry alone cannot explain their behaviour. Reflection question: How might attachment anxiety and avoidance influence emotional responses to separation? {{ic|Also provide answers}} {{RoundBoxBottom}} == Love as a reward and motivational system == Romantic love is becoming recognised as a motivational state rather than a mere emotional experience. The brain's [[wikipedia:Reward_system|reward system]] helps to direct attention, encourage goal-directed conduct, and reinforce relationships with love partners. Fisher et al. (2006) hypothesised that romantic love involves a biologically based incentive system that encourages mate selection and relationship establishment. This viewpoint explains how romantic attraction can influence conduct, decision-making, and the desire to remain close to a partner. === Brain reward pathways === The brain's reward system consists of interconnected neural circuits that support motivation, reward learning, and behavioural reinforcement. The [[wikipedia:Mesolimbic_pathway|mesolimbic dopamine pathway]] connects the ventral tegmental area (VTA) to the nucleus accumbens, whereas other pathways lead to the caudate nucleus and prefrontal cortex. Acevedo et al. (2012) used functional magnetic resonance imaging (fMRI) to study the brain activity linked to long-term romantic love. When participants saw photographs of their long-term spouses, dopamine-rich reward areas, particularly the ventral tegmental area (VTA), became activated {{ic|Second description of this study}}. These findings suggest that the brain's reward and motivational systems may remain active beyond the earliest stages of romantic love, sustaining the desire for closeness and connection. However, the study used a limited sample of people who reported high levels of romantic love, which limits the generalisability of the results. Furthermore, fMRI assesses changes in blood oxygenation rather than dopamine release; therefore, the results cannot prove that dopamine produced these sensations. === Dopaminergic activity === [[wikipedia:Dopaminergic|Dopaminergic]] activity promotes motivation, reward anticipation, and reinforcement learning. Rather than just creating pleasure, {{g}} dopamine is critical for attaching motivational value to stimuli and pushing people to pursue potentially rewarding outcomes. Berridge and Robinson (1998) distinguished between 'wanting', linked to incentive motivation, and 'liking', related to enjoyable experiences. This contrast offers a valuable framework for understanding why people may be strongly driven to contact a love partner. Partner-related cues in romantic relationships may acquire motivational value as a result of repeated favourable experiences. However, because this framework was not designed particularly to explain romantic love, its applicability to romantic attraction is more of a theoretical interpretation than concrete evidence of a love-specific dopamine pathway. {{f}} === Reinforcement and motivation === Reinforcement is the process by which consequences increase the likelihood that a behaviour will occur again. In romantic relationships, rewarding experiences such as tenderness, emotional support, and pleasant social interaction may reinforce behaviours that enhance intimacy and attachment. {{f}} Fisher et al. (2006) hypothesised that romantic love activates motivational systems that drive people to focus their attention and energy on a preferred mate. This could help explain behaviours like prioritising time together, seeking reassurance, and sustaining an emotional connection. Furthermore, Acevedo et al. (2012) discovered reward-related brain activation among people who reported deep romantic love in long-term relationships. These findings indicate that motivational and reward-related mechanisms can persist in romantic relationships after the initial attraction stage. Nonetheless, brain activation does not directly indicate that reinforcement happened. Furthermore, the cross-sectional nature of these neuroimaging data limits our ability to generalise how reward mechanisms build and sustain linkages over time. Overall, romantic love can be viewed as a combination of reward processing, motivational systems, and social connection. While dopamine-related pathways support the pursuit and perceived significance of romantic relationships, love cannot be reduced to reward circuitry alone. Emotional experiences, attachment processes, and social circumstances all influence romantic motivation. <quiz display="simple"> {Which brain region is particularly associated with reward and motivation in romantic love? |type="()"} - Amygdala + Ventral tegmental area (VTA) - Cerebellum || The VTA is a dopamine-rich region involved in reward and motivation. {What did Acevedo et al. (2012) find about long-term romantic love? |type="()"} - Reward-related brain activity only occurs in new relationships. - Long-term romantic love is unrelated to reward processing. + Reward-related brain regions can remain active in long-term romantic love. || The study found activation in reward-related regions when participants viewed photographs of their long-term partners. {What is a key role of dopamine in romantic love? |type="()"} + Increasing motivation to pursue rewarding experiences. - Directly producing all feelings of pleasure. - Preventing emotional attachment. || Dopamine contributes to motivation, reward anticipation and reinforcement learning. </quiz> ==Conclusion== Romantic love is a complicated emotional and motivational experience that involves interactions between brain systems, physiological processes, and psychological variables. Research {{f}} suggests that brain regions such as the ventral tegmental area (VTA), hypothalamus, amygdala, and prefrontal cortex play roles in reward processing, emotional regulation, and social bonding. Neurotransmitters and hormones, including dopamine, oxytocin, and vasopressin, influence romantic attraction and attachment by interacting with reward and bonding mechanisms. While early-stage romantic love is often marked by increased motivation and desire, evidence suggests that reward-related brain activity can persist in long-term relationships (Acevedo et al., 2012; Walum & Young, 2018). Importantly, viewing love as a motivational system helps explain why people seek proximity, prioritise romantic relationships, and preserve emotional connections (Fisher et al., 2006). However, neurobiological research has limitations, such as small neuroimaging samples and the difficulty of forecasting animal findings to human interactions. In conclusion, love cannot be explained by a single brain region or molecule. Instead, it results from a complex interplay of biological, psychological, and social factors that determine attraction, attachment, and long-term bonds. {{RoundBoxTop|theme=3}} ;Key takeaway messages {{ic|Use bullet-points as shown in Tutorial 2}} 1. Romantic love involves interrelated brain areas that control reward, motivation, and emotional processing. 2. Biochemical processes: Dopamine, oxytocin, and vasopressin help with attraction and bonding, but no single molecule creates love. 3. Attachment: Long-term relationships require interplay between reward circuitry, neurochemical signalling, and emotional control. 4. Motivation: Love activates reward-related pathways that promote proximity, partner choice, and relationship stability. {{RoundBoxBottom}} ==See also== * [[Motivation and emotion/Book/2026/Falling in love|Falling in love]] (Book chapter, 2026) * [[Motivation and emotion/Book/2026/Need to love and be loved|Need to love and be loved]] (Book chapter, 2026) * [[wikipedia:Attachment_theory|Attachment theory]] * [[wikipedia:Biology_of_romantic_love|Biology of romantic love]] ==References== {{Hanging indent|1= Acevedo, B. P., Aron, A., Fisher, H. E., & Brown, L. L. (2012). Neural correlates of long-term intense romantic love. Social Cognitive and Affective Neuroscience, 7(2), 145–159. <nowiki>https://doi.org/10.1093/scan/nsq092</nowiki> Aron, A., Fisher, H., Mashek, D. J., Strong, G., Li, H., & Brown, L. L. (2005). Reward, motivation, and emotion systems associated with early-stage intense romantic love. Journal of Neurophysiology, 94(1), 327–337. <nowiki>https://doi.org/10.1152/jn.00838.2004</nowiki>. Berridge, K. C., & Robinson, T. E. (1998). What is the role of dopamine in reward: Hedonic impact, reward learning, or incentive salience? Brain Research Reviews, 28(3), 309–369. <nowiki>https://doi.org/10.1016/S0165-0173(98)00019-8</nowiki> Fisher, H. E., Aron, A., & Brown, L. L. (2006). Romantic love: A mammalian brain system for mate choice. Philosophical Transactions of the Royal Society B: Biological Sciences, 361(1476), 2173–2186. <nowiki>https://doi.org/10.1098/rstb.2006.1938</nowiki> Gillath, O., Bunge, S. A., Shaver, P. R., Wendelken, C., & Mikulincer, M. (2005). Attachment-style differences in the ability to suppress negative thoughts: Exploring the neural correlates. NeuroImage, 28(4), 835–847. <nowiki>https://doi.org/10.1016/j.neuroimage.2005.06.048</nowiki> Marazziti, D., Akiskal, H. S., Rossi, A., & Cassano, G. B. (1999). Alteration of the platelet serotonin transporter in romantic love. Psychological Medicine, 29(3), 741–745. <nowiki>https://doi.org/10.1017/S0033291798007946</nowiki> Ortigue, S., Bianchi-Demicheli, F., Patel, N., Frum, C., & Lewis, J. W. (2010). Neuroimaging of love: fMRI meta-analysis evidence toward new perspectives in sexual medicine. The Journal of Sexual Medicine, 7(11), 3541–3552. <nowiki>https://doi.org/10.1111/j.1743-6109.2010.01999.x</nowiki> Walum, H., & Young, L. J. (2018). The neural mechanisms and circuitry of the pair bond. Nature Reviews Neuroscience, 19(11), 643–654. <nowiki>https://doi.org/10.1038/s41583-018-0072-6</nowiki> Zeki, S. (2007). The neurobiology of love. FEBS Letters, 581(14), 2575–2579. <nowiki>https://doi.org/10.1016/j.febslet.2007.03.094</nowiki> }} ==External links== * [https://www.ted.com/talks/helen_fisher_the_brain_in_love The brain in love (Fisher, 2008) - TED] * [https://ed.ted.com/lessons/the-science-of-falling-in-love-shannon-odell The science of falling in love (Odell)] * [https://hms.harvard.edu/news-events/publications-archive/brain/love-brain Love and the brain] [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Love]] [[Category:Motivation and emotion/Book/Neuroscience]] 0zze9tpuk6n652q9k9jhi9g9wpbqhpm 2844319 2844318 2026-11-03T21:57:46Z Jtneill 10242 2844319 wikitext text/x-wiki {{title|Neurobiology of love:<br>What neural systems and biochemical processes underlie love?}} __TOC__ == Overview == {{RoundBoxTop|theme=3}} [[File:Drawn love hearts.svg|thumb|140px|Figure 1. Neurobiology of love- a love heart |172x172px]] ;Imagine this... Imagine meeting someone who immediately captures your attention. Your heart races when they are nearby, you find yourself thinking about them constantly, and time together becomes increasingly rewarding. As the relationship develops, these intense feelings may gradually transform into deeper emotional security and attachment. But what happens within the brain to produce these experiences, and why does love have such a powerful influence on human behaviour? {{RoundBoxBottom}} As a complex emotional and motivational experience, romantic love involves interconnected [[wikipedia:Biology_of_romantic_love|neural systems and biochemical processes]] (Walum & Young, 2018). Love is associated with activity across networks involved in [[wikipedia:Reward_theory_of_attraction|reward]], motivation, [[wikipedia:Emotional_intimacy|emotional processing, and social bonding]], rather than originating from a single brain region or chemical (Fisher et al., 2006). Neurotransmitters and hormones, including dopamine, oxytocin, and vasopressin, have been associated with attraction and attachment, while brain regions such as the ventral tegmental area (VTA), hypothalamus, and prefrontal cortex contribute to various aspects of romantic experiences (Aron et al., 2005). Understanding the neurobiology of love provides insight into why individuals experience intense romantic attraction, seek closeness with partners, and develop enduring emotional bonds. Nevertheless, the biological mechanisms underlying love are intricate, and research continues to explore how neural activity and biochemical signalling interact with psychological and social factors. This chapter examines the neural systems and biochemical processes associated with romantic love. It uses neurobiological theories and empirical research to explain their roles in attraction, motivation, attachment, and long-term bonding. {{RoundBoxTop}} ;Focus questions {{ic|Use bullet points as shown in Tutorial 2}} 1. What brain regions and neural systems are involved in love? 2. What neurotransmitters and hormones contribute to the experience of love? 3. How do biochemical and neural processes contribute to attachment and long-term bonding? 4. How does the brain's motivation and reward system contribute to romantic love? {{RoundBoxBottom}} == Brain regions and neural systems involved in love == Romantic love involves many interlinked brain regions responsible for reward, motivation, emotional processing and social behaviour. Neuroimaging research suggests that love does not result from a single brain structure, but from coordinated activity across multiple neural networks (Ortigue et al., 2010). Understanding these regions helps explain how romantic love can affect emotions, decision-making, and behaviour. [[File:Brain regions involved in memory formation.jpg|thumb|Figure 2. Brain Regions {{expand}}]] === '''The ventral tegmental area (VTA)''' === [[wikipedia:Ventral_tegmental_area|The midbrain's ventral tegmental area (VTA)]] is critical for reward processing and motivation. It is home to dopamine-producing neurons that signal to other brain regions that are involved in reward-related learning and goal-directed behaviour. {{f}} Aron et al. (2005) examined the brain activity of 17 participants in the early phase of romantic love through functional magnetic resonance imaging (fMRI). Participants were shown images of their romantic partners and acquaintances. While viewing their partners, researchers noted increased activation in dopamine-rich areas, specifically the VTA and [[wikipedia:Caudate_nucleus|caudate nucleus.]] These results indicate that romantic love activates brain pathways linked to reward and motivation and may contribute to the intense need for intimacy and closeness with a romantic partner. Nonetheless, the comparatively small sample size limits the results applicability. Furthermore, [[wikipedia:Functional_magnetic_resonance_imaging|fMRI]] assesses changes in blood oxygenation rather than directly measuring dopamine release, so the research cannot confirm dopamine's causal role in romantic affection. === '''Hypothalamus''' === The [[wikipedia:Hypothalamus|hypothalamus]] regulates physiological functions such as hormonal activity, sexual behaviour, and certain aspects of social bonding. Its relevance to understanding the biological processes associated with love comes from its connections to neuroendocrine systems. Zeki (2007) reviewed neuroimaging evidence on romantic and maternal love, emphasising the involvement of reward-related brain regions and systems associated with oxytocin and vasopressin signalling. These neuropeptides are particularly relevant to attachment and social bonding. However, the hypothalamus should not be regarded as a solitary ‘love centre’ (see Figure 2). Its functions are not limited to romantic relationships, and the subjective experience of love cannot be fully explained by evidence regarding hormonal mechanisms. This underscores the importance of understanding love as a multifaceted interaction among psychological, biochemical, and neural processes. === '''Amygdala and prefrontal cortex''' === The [[wikipedia:Prefrontal_cortex|prefrontal cortex]] is responsible for the regulation of behaviour, decision-making, and evaluation, while the [[wikipedia:Amygdala|amygdala]] is involved in the processing of emotionally significant information, including potential threats. Research has identified variations in activity within regions that are associated with emotional evaluation during romantic love. For instance, Aron et al. (2005) observed that participants' amygdala activity was diminished when they viewed their romantic partners in comparison to familiar individuals. Zeki (2007) also reported decreased activity in regions linked to negative emotions and social judgements during romantic and maternal love. These findings may help explain why individuals occasionally assess romantic partners more favourably or become less attentive to potential negative attributes. Nevertheless, reduced neural activity does not necessarily indicate impaired judgement, and the results do not suggest that the entire prefrontal cortex shows reduced activity during romantic relationships, because different prefrontal regions perform distinct functions. Overall, the evidence suggests that romantic love results from the interaction of neural systems, not a single brain region. Reward-related activities may contribute to romantic motivation, while emotion and evaluation networks influence how individuals perceive and respond to their partners. {| class="wikitable" |+Table 1. Brain regions and their proposed contributions to romantic love {{f}} !Brain region !Primary function !Relevance to love |- |VTA |Reward and motivation |Motivates pursuit of romantic partners |- |Hypothalamus |Hormonal and physiological regulation |Contributes to processes associated with sexual behaviour and bonding |- |Amygdala |Emotional salience and threat processing |Shows altered activity during romantic love |- |Prefrontal cortex |Decision-making and social evaluation |Contributes to evaluation of romantic partners |- |Caudate nucleus |Reward learning and goal-directed behaviour |Associated with romantic motivation |} == Neurotransmitters and hormones involved in love == Romantic love involves intricate physiological mechanisms that determine attraction, motivation, emotional responses, and attachment. Neurotransmitters are chemical messengers that carry signals between neurons, whereas hormones circulate in the bloodstream and influence physiological and behavioural processes. Dopamine and serotonin regulate reward and mood, while oxytocin and vasopressin are neuropeptides that can act as hormones and signalling molecules in the brain. Rather than acting independently, these substances work with brain circuits to alter various facets of romantic love (Fisher et al., 2006; Walum & Young, 2018). === Dopamine === [[wikipedia:Dopamine|Dopamine]] has an important role in reward processing, motivation, and reinforcement, making it especially vital to romantic attraction. Dopaminergic pathways, particularly those originating in the ventral tegmental area (VTA), support goal-directed behaviour and anticipation of pleasurable experiences. Aron et al. (2005) used functional magnetic resonance imaging (fMRI) to study {{ic|how many}} people experiencing strong passionate love. When participants saw photos of their love partners, they showed greater activation in dopamine-rich brain areas. These findings lend support to the idea that romantic love is a motivating condition that drives people to seek intimacy and contact with their relationships. However, fMRI does not directly detect dopamine release. As a result, activation in dopamine-rich areas provides indirect evidence of dopamine involvement rather than establishing a causal association between dopamine and romantic love. === Serotonin === [[wikipedia:Serotonin|Serotonin]] regulates mood, processes emotions, and aids cognition {{f}}. Researchers studied whether serotonergic activity contributes to persistent or intrusive thoughts common during early romantic attraction. Marazziti et al. (1999) compared {{who}} {{where}} those who had just fallen in love to those with obsessive-compulsive disorder (OCD) and healthy controls. Both the romantic-love and OCD groups had lower platelet serotonin transporter binding compared to controls. This research shows a link between early romantic love and changes in serotonergic activity. However, platelet serotonin transporter binding is a peripheral test that does not directly determine serotonin concentrations or activity in the brain. The study was also limited by indirect serotonin measurement and limited generalisability, so its findings should not be interpreted as proof that falling in love decreases brain serotonin or that romantic love is synonymous with OCD. === Oxytocin and vasopressin === [[wikipedia:Oxytocin|Oxytocin]] and [[wikipedia:Vasopressin|vasopressin]] are neuropeptides produced largely in the hypothalamus and are linked to social behaviour, attachment, and pair bonding. Because of its role in social bonding and affiliative actions, oxytocin is commonly known as the 'love hormone' (see Figure 2). However, its effects are context-dependent and go beyond romantic relationships. Walum and Young (2018) examined {{ic|what sort of?}} research on the brain processes of pair bonding, emphasising the role of oxytocin and vasopressin signalling in attachment-related behaviours. Experiments with prairie voles {{f}} have shown that these neuropeptide systems interact with reward circuitry during partner preference formation. Nonetheless, animal research provides some of the strongest causal evidence {{how}}. Species differences, combined with the complexities of human relationships, limit how directly these findings apply to human romantic love. Overall, dopamine, serotonin, oxytocin, and vasopressin play important roles in biological systems related to romantic attraction and bonding. However, no single chemical causes love. Romantic experiences result from connections between physiological signals, brain networks, individual psychology, and social experiences. {| class="wikitable" |+Table 2. Biochemical processes associated with romantic love {{f}} !Chemical !Main functions !Relevance to love |- |Dopamine |Reward, motivation, reinforcement |Romantic pursuit and reward-related learning |- |Serotonin |Mood and cognitive regulation |Potential association with persistent romantic thoughts |- |Oxytocin |Social signalling and affiliative behaviour |Social bonding and partner-related attachment |- |Vasopressin |Social recognition and behavioural regulation |Pair bonding and mate-guarding behaviours in animal research |} == Neurobiology of attachment and long-term bonding == [[File:Oxytocin hormone 15.tif|thumb|140x140px|'''Figure 3.''' Illustration representing oxytocin, a neuropeptide involved in social bonding and attachment. Although commonly called the 'love hormone', oxytocin has diverse physiological and behavioural functions.]] Romantic attachment is the formation of long-lasting emotional ties that foster closeness, security, and relationship preservation {{f}}. While early romantic love is frequently marked by great attraction and motivation, long-term bonding involves brain mechanisms related to reward, emotional control, and social attachment. These processes are controlled by interactions between dopamine, oxytocin, and vasopressin, rather than a single biological mechanism (Walum & Young, 2018). === Pair bonding === [[wikipedia:Pair_bond|Pair bonding]] refers to the development of a selected and relatively long-lasting relationship between romantic partners. According to neurobiological research, pair bonding occurs through connections between the brain's reward circuitry and neuropeptide signalling systems. Walum and Young (2018) evaluated experimental data on prairie voles, a species that is well investigated due to its ability to acquire selective partner preferences. Their review discusses how oxytocin, vasopressin, and dopamine signals influence partner preference creation and maintenance. These findings imply that bonding entails learning to identify a specific partner with positive social experiences {{explain}}. However, animal studies provide a significant amount of causative data. Although these discoveries shed light on biological pathways, human love relationships are also influenced by numerous cognitive, cultural, and social factors. === Early-stage romantic love === [[wikipedia:Biology_of_romantic_love|Early-stage romantic love]] is commonly associated with intense attraction, heightened attention towards a partner, and a strong motivation to maintain closeness {{ic|consider linking here to the falling in love chapter}}. Aron et al. (2005) used functional magnetic resonance imaging (fMRI) to analyse individuals in the early stages of romantic love. When participants viewed images of their romantic relationships, they demonstrated enhanced activity in dopamine-rich brain regions such as the ventral tegmental area and caudate nucleus {{ic|Repetitive; this is third description of this study in the chapter}}. Importantly, reward-related brain activity is not restricted to the initial stages of love relationships. Acevedo et al. (2012) studied {{how}} {{ic|how many?}} persons {{where}} who reported intense romantic love after an average of 21 years of marriage. They found activity in reward-related regions, including the VTA, suggesting that romantic drive can persist in long-term relationships. However, both studies used relatively small sample sizes and correlational neuroimaging methods. As a result, the data show connections between romantic experiences and brain activity rather than determining the biological origins of long-term love. {| class="wikitable" |+Table 3. Early-stage romantic love compared with long-term bonding {{f}} !Feature !Early-stage romantic love !Long-term bonding |- |Emotional experience |Intense attraction and excitement |Security, familiarity and attachment |- |Neural systems |Reward and motivation circuitry |Reward, bonding and emotion-regulation systems |- |Biochemical processes |Dopamine-related signalling |Dopamine, oxytocin and vasopressin interactions |- |Behavioural patterns |Strong attention and desire for closeness |Partner preference and relationship maintenance |} === Attachment styles === [[wikipedia:Attachment_theory|Attachment theory]] proposes that early caregiving experiences shape internal expectations about relationships, which might influence attachment patterns in adulthood {{f}}. Adult romantic attachment is frequently investigated using the variables of attachment anxiety and avoidance. Individuals with higher [[wikipedia:Anxious-preoccupied_attachment|attachment anxiety]] may have increased fears of rejection, whilst those with higher attachment avoidance may be less comfortable with emotional closeness. These behaviours can affect emotional regulation and how people respond to relationship challenges. Gillath et al. (2005) used fMRI to explore the neurological correlates of adult attachment and discovered {{ic|direction? strength?}} correlations between attachment-related features and brain activity patterns during attachment-related thinking. This implies that differences in attachment may be mirrored in brain responses. However, attachment styles should not be viewed as fixed biological categories. Neuroimaging research does not show that specific brain regions produce attachment styles, and relationship experiences can affect attachment patterns over time. Overall, research {{f}} indicates that long-term romantic attachment requires connections between reward processing, neurochemical signalling, and emotional regulation. While neurobiological pathways help us bond, psychological experiences and relationship contexts are also vital to understanding how romantic relationships form and endure. {{RoundBoxTop|theme=3}} ;Case study: Love and attachment Mia and Jack have been in a relationship for three years. When Jack travels for work, Mia often worries he is losing interest, despite reassurance. Jack, however, sometimes responds to emotional conversations by withdrawing. These behaviours may reflect differences in attachment anxiety and avoidance. Although attachment-related responses involve neural systems associated with emotional regulation and threat processing, brain chemistry alone cannot explain their behaviour. Reflection question: How might attachment anxiety and avoidance influence emotional responses to separation? {{ic|Also provide answers}} {{RoundBoxBottom}} == Love as a reward and motivational system == Romantic love is becoming recognised as a motivational state rather than a mere emotional experience. The brain's [[wikipedia:Reward_system|reward system]] helps to direct attention, encourage goal-directed conduct, and reinforce relationships with love partners. Fisher et al. (2006) hypothesised that romantic love involves a biologically based incentive system that encourages mate selection and relationship establishment. This viewpoint explains how romantic attraction can influence conduct, decision-making, and the desire to remain close to a partner. === Brain reward pathways === The brain's reward system consists of interconnected neural circuits that support motivation, reward learning, and behavioural reinforcement. The [[wikipedia:Mesolimbic_pathway|mesolimbic dopamine pathway]] connects the ventral tegmental area (VTA) to the nucleus accumbens, whereas other pathways lead to the caudate nucleus and prefrontal cortex. Acevedo et al. (2012) used functional magnetic resonance imaging (fMRI) to study the brain activity linked to long-term romantic love. When participants saw photographs of their long-term spouses, dopamine-rich reward areas, particularly the ventral tegmental area (VTA), became activated {{ic|Second description of this study}}. These findings suggest that the brain's reward and motivational systems may remain active beyond the earliest stages of romantic love, sustaining the desire for closeness and connection. However, the study used a limited sample of people who reported high levels of romantic love, which limits the generalisability of the results. Furthermore, fMRI assesses changes in blood oxygenation rather than dopamine release; therefore, the results cannot prove that dopamine produced these sensations. === Dopaminergic activity === [[wikipedia:Dopaminergic|Dopaminergic]] activity promotes motivation, reward anticipation, and reinforcement learning. Rather than just creating pleasure, {{g}} dopamine is critical for attaching motivational value to stimuli and pushing people to pursue potentially rewarding outcomes. Berridge and Robinson (1998) distinguished between 'wanting', linked to incentive motivation, and 'liking', related to enjoyable experiences. This contrast offers a valuable framework for understanding why people may be strongly driven to contact a love partner. Partner-related cues in romantic relationships may acquire motivational value as a result of repeated favourable experiences. However, because this framework was not designed particularly to explain romantic love, its applicability to romantic attraction is more of a theoretical interpretation than concrete evidence of a love-specific dopamine pathway. {{f}} === Reinforcement and motivation === Reinforcement is the process by which consequences increase the likelihood that a behaviour will occur again. In romantic relationships, rewarding experiences such as tenderness, emotional support, and pleasant social interaction may reinforce behaviours that enhance intimacy and attachment. {{f}} Fisher et al. (2006) hypothesised that romantic love activates motivational systems that drive people to focus their attention and energy on a preferred mate. This could help explain behaviours like prioritising time together, seeking reassurance, and sustaining an emotional connection. Furthermore, Acevedo et al. (2012) discovered reward-related brain activation among people who reported deep romantic love in long-term relationships. These findings indicate that motivational and reward-related mechanisms can persist in romantic relationships after the initial attraction stage. Nonetheless, brain activation does not directly indicate that reinforcement happened. Furthermore, the cross-sectional nature of these neuroimaging data limits our ability to generalise how reward mechanisms build and sustain linkages over time. Overall, romantic love can be viewed as a combination of reward processing, motivational systems, and social connection. While dopamine-related pathways support the pursuit and perceived significance of romantic relationships, love cannot be reduced to reward circuitry alone. Emotional experiences, attachment processes, and social circumstances all influence romantic motivation. <quiz display="simple"> {Which brain region is particularly associated with reward and motivation in romantic love? |type="()"} - Amygdala + Ventral tegmental area (VTA) - Cerebellum || The VTA is a dopamine-rich region involved in reward and motivation. {What did Acevedo et al. (2012) find about long-term romantic love? |type="()"} - Reward-related brain activity only occurs in new relationships. - Long-term romantic love is unrelated to reward processing. + Reward-related brain regions can remain active in long-term romantic love. || The study found activation in reward-related regions when participants viewed photographs of their long-term partners. {What is a key role of dopamine in romantic love? |type="()"} + Increasing motivation to pursue rewarding experiences. - Directly producing all feelings of pleasure. - Preventing emotional attachment. || Dopamine contributes to motivation, reward anticipation and reinforcement learning. </quiz> ==Conclusion== Romantic love is a complicated emotional and motivational experience that involves interactions between brain systems, physiological processes, and psychological variables. Research {{f}} suggests that brain regions such as the ventral tegmental area (VTA), hypothalamus, amygdala, and prefrontal cortex play roles in reward processing, emotional regulation, and social bonding. Neurotransmitters and hormones, including dopamine, oxytocin, and vasopressin, influence romantic attraction and attachment by interacting with reward and bonding mechanisms. While early-stage romantic love is often marked by increased motivation and desire, evidence suggests that reward-related brain activity can persist in long-term relationships (Acevedo et al., 2012; Walum & Young, 2018). Importantly, viewing love as a motivational system helps explain why people seek proximity, prioritise romantic relationships, and preserve emotional connections (Fisher et al., 2006). However, neurobiological research has limitations, such as small neuroimaging samples and the difficulty of forecasting animal findings to human interactions. In conclusion, love cannot be explained by a single brain region or molecule. Instead, it results from a complex interplay of biological, psychological, and social factors that determine attraction, attachment, and long-term bonds. {{RoundBoxTop|theme=3}} ;Key takeaway messages {{ic|Use bullet-points as shown in Tutorial 2}} 1. Romantic love involves interrelated brain areas that control reward, motivation, and emotional processing. 2. Biochemical processes: Dopamine, oxytocin, and vasopressin help with attraction and bonding, but no single molecule creates love. 3. Attachment: Long-term relationships require interplay between reward circuitry, neurochemical signalling, and emotional control. 4. Motivation: Love activates reward-related pathways that promote proximity, partner choice, and relationship stability. {{RoundBoxBottom}} ==See also== * [[Motivation and emotion/Book/2026/Falling in love|Falling in love]] (Book chapter, 2026) * [[Motivation and emotion/Book/2026/Need to love and be loved|Need to love and be loved]] (Book chapter, 2026) * [[wikipedia:Attachment_theory|Attachment theory]] * [[wikipedia:Biology_of_romantic_love|Biology of romantic love]] ==References== {{Hanging indent|1= Acevedo, B. P., Aron, A., Fisher, H. E., & Brown, L. L. (2012). Neural correlates of long-term intense romantic love. Social Cognitive and Affective Neuroscience, 7(2), 145–159. <nowiki>https://doi.org/10.1093/scan/nsq092</nowiki> Aron, A., Fisher, H., Mashek, D. J., Strong, G., Li, H., & Brown, L. L. (2005). Reward, motivation, and emotion systems associated with early-stage intense romantic love. Journal of Neurophysiology, 94(1), 327–337. <nowiki>https://doi.org/10.1152/jn.00838.2004</nowiki>. Berridge, K. C., & Robinson, T. E. (1998). What is the role of dopamine in reward: Hedonic impact, reward learning, or incentive salience? Brain Research Reviews, 28(3), 309–369. <nowiki>https://doi.org/10.1016/S0165-0173(98)00019-8</nowiki> Fisher, H. E., Aron, A., & Brown, L. L. (2006). Romantic love: A mammalian brain system for mate choice. Philosophical Transactions of the Royal Society B: Biological Sciences, 361(1476), 2173–2186. <nowiki>https://doi.org/10.1098/rstb.2006.1938</nowiki> Gillath, O., Bunge, S. A., Shaver, P. R., Wendelken, C., & Mikulincer, M. (2005). Attachment-style differences in the ability to suppress negative thoughts: Exploring the neural correlates. NeuroImage, 28(4), 835–847. <nowiki>https://doi.org/10.1016/j.neuroimage.2005.06.048</nowiki> Marazziti, D., Akiskal, H. S., Rossi, A., & Cassano, G. B. (1999). Alteration of the platelet serotonin transporter in romantic love. Psychological Medicine, 29(3), 741–745. <nowiki>https://doi.org/10.1017/S0033291798007946</nowiki> Ortigue, S., Bianchi-Demicheli, F., Patel, N., Frum, C., & Lewis, J. W. (2010). Neuroimaging of love: fMRI meta-analysis evidence toward new perspectives in sexual medicine. The Journal of Sexual Medicine, 7(11), 3541–3552. <nowiki>https://doi.org/10.1111/j.1743-6109.2010.01999.x</nowiki> Walum, H., & Young, L. J. (2018). The neural mechanisms and circuitry of the pair bond. Nature Reviews Neuroscience, 19(11), 643–654. <nowiki>https://doi.org/10.1038/s41583-018-0072-6</nowiki> Zeki, S. (2007). The neurobiology of love. FEBS Letters, 581(14), 2575–2579. <nowiki>https://doi.org/10.1016/j.febslet.2007.03.094</nowiki> }} ==External links== * [https://www.ted.com/talks/helen_fisher_the_brain_in_love The brain in love (Fisher, 2008) - TED] * [https://ed.ted.com/lessons/the-science-of-falling-in-love-shannon-odell The science of falling in love (Odell)] * [https://hms.harvard.edu/news-events/publications-archive/brain/love-brain Love and the brain] [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Love]] [[Category:Motivation and emotion/Book/Neuroscience]] 93cktwtqr8vvlqcl5o0hzk99gtywiv4 0 331338 2844265 2843751 2026-11-03T17:10:04Z ShakespeareFan00 6645 2844265 wikitext text/x-wiki {{title|Building therapeutic alliance:<br>What psychological factors contribute to the development of a strong therapeutic alliance?}} __TOC__ == Overview == {{RoundBoxTop|theme=3}} '''Consider this scenario''' [[File:Counselling session.jpg|thumb|right|150px|'''Figure 1'''. A counselling session illustrating a setting in which therapeutic alliance can develop. {{ic|The image could better match the scenario (high school student}}]] George recently started high school and has been dealing with anxiety and depression while adjusting to a new school, new peers and a new routine. He starts seeing a counsellor. In the first session, the counsellor wants to help and gives George several strategies and homework exercises. From the counsellor's perspective the session went well. George did not see it this way. He felt overwhelmed and felt like the counsellor did not really understand what he was saying. At the next session George barely participates. The counsellor notices this and asks him what has changed. George explains that he felt rushed and misunderstood in the previous session. The counsellor acknowledges this and asks George how they could approach the sessions differently. They then reconsider his goals and what they will actually do during therapy. {{RoundBoxBottom}} The [[w:Therapeutic alliance|therapeutic alliance]] is basically the working relationship that develops between the therapist and client. This relationship is important because therapy requires the therapist and client to work together. It is not enough for the therapist to simply know a lot about psychology or choose an evidence-based treatment. Bordin (1979) explains therapeutic alliance through three main parts. These are '''goals, tasks and bond'''. Goals are what the therapist and client are trying to achieve. Tasks are what they agree to do to achieve those goals. Bond is the trust and emotional connection between them. This is important because George's counsellor did not necessarily give him bad advice. The problem was that George did not feel understood or included in deciding what the therapy should actually look like. Figure 1 illustrates the counselling setting in which this relationship develops. Research also shows that therapeutic alliance is related to psychotherapy outcomes. Flückiger et al. (2018) reviewed 295 studies involving more than 30,000 clients and found a consistent positive {{ic|how strong?}} relationship between alliance and treatment outcome. However, this does not automatically prove that alliance causes the improvement. Baier et al. (2020) found evidence that alliance can act as a mediator of change, but they also found major differences in how these studies were conducted. The idea in this chapter is therefore to look at what actually helps build this relationship. It focuses on what therapeutic alliance is, what therapist and client factors influence it, and how collaboration and repairing problems in the relationship can make the alliance stronger. {{RoundBoxTop|theme=3}} <li>What is therapeutic alliance and how can psychological theory explain its development?</li> <li>What therapist and client factors contribute to building a strong therapeutic alliance?</li> <li>How can collaboration and rupture repair strengthen therapeutic alliance over time? {{rewrite}}</li> {{RoundBoxBottom}} == What is therapeutic alliance? == {{ic|Include an introductory paragraph before branching into sub-sections}} === Goals, tasks and bond === One of the most important ideas about therapeutic alliance comes from Bordin (1979). The idea is that a successful therapeutic relationship needs agreement about the '''goals''', agreement about the '''tasks''', and an interpersonal '''bond'''. The goals are what the client and therapist are trying to achieve. For example, George might want to feel less anxious at school and become more comfortable around new people. The tasks are what they actually do during therapy. This could include talking through situations, practising skills, completing exercises or using other therapeutic techniques. The bond is the trust and connection that forms between the therapist and client. All three parts matter. A therapist and client might get along really well but disagree about what therapy should be trying to change. They could also agree on the goal but disagree about how they should get there. This is where Bordin's model {{f}} becomes useful because it shows that therapeutic alliance is more than simply liking the therapist. Research supports this idea. Tryon et al. (2018) looked at research on goal consensus and collaboration. They found that both agreement about goals and collaboration were {{ic|how strongly?}} positively related to psychotherapy outcomes. This is important because it supports the idea that the client should be involved in therapy instead of therapy simply being done to them. This is where George's first session went wrong. His counsellor decided what George needed and started giving him tasks. There was not enough time spent working out whether George understood these tasks, agreed with them or even felt like they matched what he wanted from counselling. === A relational foundation === Another important theory comes from [[w:Carl Rogers|Carl Rogers]]. Rogers (1957) argued that the relationship itself can create the conditions needed for psychological change. Three important ideas from his [[w:Person-centered therapy|person-centred approach]] are empathy, congruence and unconditional positive regard. [[w:Empathy|Empathy]] is especially important for understanding therapeutic alliance. The therapist needs to understand what the client is trying to communicate, but they also need to show the client that this understanding has happened. Elliott et al. (2018) looked at 82 independent samples containing 6,138 clients {{where}} {{ic|clients of what?}}. They found that {{ic|client-rated?}} therapist empathy had a moderate relationship with better psychotherapy outcomes. However, the results were not exactly the same across every study or every client. Another important finding was that client perceptions of therapist empathy were useful predictors of outcome. This is important because there is a difference between the therapist '''thinking''' they understand someone and the client actually '''feeling understood'''. The {{what}} idea is also closely connected with Bordin's model {{f}}. Empathy can help create the bond, but it can also help the therapist understand what goals matter to the client and whether the tasks being used actually make sense to them {{f}}. == What therapist and client factors build therapeutic alliance? == {{ic|Include an introductory paragraph before branching into sub-sections}} === Therapist factors === One of the clearest therapist factors is empathy, but empathy by itself is not enough. The therapist also needs to respond to the actual person sitting in front of them. {{f}} This is where therapist responsiveness becomes important {{f}}. Responsiveness means that the therapist changes how they communicate and work depending on what the particular client needs. It does not mean abandoning psychological treatment or agreeing with everything the client says. The idea is that the treatment should not become completely rigid. {{f}} Culina et al. (2023) studied {{ic|what sort of?}} therapist responsiveness during early sessions with people receiving treatment for [[w:Borderline personality disorder|borderline personality disorder]]. They found that responsiveness during the first session was {{ic|direction? strength?}} related to how the therapeutic alliance developed afterwards. Because this research involved a specific group, it should not simply be assumed that exactly the same thing happens with every client. However, it does show how important the early relationship can be. George is a good example. His counsellor was trying to help, but the counsellor moved too quickly. The issue was not necessarily the strategies themselves. The problem was that they did not fit where George was at during that session. A more responsive counsellor might have noticed that George was overwhelmed and spent more time understanding what was happening before giving him several tasks to complete. {{Mbox |title=Reflection |text=The idea is not that a therapist should never challenge a client {{ic|avoid double negatives}}. The question is whether the challenge fits the person, the situation and the stage of therapy. {{rewrite}} |theme=3 }} === Client and interpersonal factors === The therapist is only one side of the relationship. The client also comes into therapy with their own experiences, expectations and ideas about relationships. One example is [[w:Attachment theory|attachment]]. Attachment theory is useful because past relationships can influence what people expect from other people. Someone who has found it difficult to trust people in other relationships may not suddenly trust a therapist simply because the therapist is qualified. {{f}} A meta-analysis by Notsu et al. (2025) looked at 33 studies {{ic|of what?}} involving 2,299 {{ic|what sort of?}} clients. Attachment anxiety and attachment avoidance were both related to slightly weaker client-rated therapeutic alliances. However, these relationships were small. This is important because attachment style should not be treated like a label that determines whether someone will be good or bad at therapy. The researchers also noted that much of the existing research involved White participants and therapists, which limits how broadly the findings can be applied. This is where the way the therapist responds becomes important again. If a client takes longer to trust the therapist, this does not automatically mean they are resistant or do not want help. It might mean that trust needs to develop differently. {{f}} Client preferences are another factor. Windle et al. (2020) reviewed 29 randomised trials involving 5,294 people. Clients who received the type of psychosocial treatment they preferred were less likely to drop out, and the available evidence showed stronger therapeutic alliances. Interestingly, this did not mean their depression or anxiety outcomes were automatically better. This distinction is important. Giving people some choice may help them engage and feel involved, but choice by itself is not a treatment. {| class="wikitable" |+ '''Table 1. Factors that can influence therapeutic alliance''' {{f}} ! Factor ! What it means ! What it could mean in therapy |- | Empathy | Understanding the client's experience | The client feels that what they are saying is actually being understood |- | Responsiveness | Adapting to the person and situation | The therapist changes pace or communication when needed |- | Attachment | Expectations shaped by previous relationships | Some clients may take longer to trust and become vulnerable |- | Client preference | Having meaningful input into treatment | Therapist and client discuss options rather than assuming one approach |- | Goal agreement | Sharing an idea of what therapy is trying to achieve | Goals are discussed rather than decided only by the therapist |- | Rupture repair | Addressing problems in the relationship | Tension is explored instead of ignored |} == How is therapeutic alliance strengthened over time? == {{ic|Include an introductory paragraph before branching into sub-sections}} === Collaboration and client preference === Therapeutic alliance is not something that happens once in the first session and then stays exactly the same. The client and therapist might agree on a goal at the start of therapy and later realise that another problem is more important. A technique might sound useful but then not work well for that particular client. The client might also become more comfortable talking about things that they were not ready to discuss earlier. This is why collaboration needs to continue throughout therapy. Tryon et al. (2018) found that goal consensus and collaboration were both related to psychotherapy outcomes. Windle et al. (2020) also found that receiving a preferred treatment was related to stronger alliance and less dropout. Together, this suggests that giving clients a meaningful role in therapy can help create the conditions for engagement. This does not mean that therapists stop being experts. The therapist still brings knowledge of psychological theory, treatment and risk. The client brings knowledge about their own life, priorities and experiences. The alliance develops when these two things can actually work together. {{f}} === Ruptures and repair === Another important part of therapeutic alliance is what happens when something goes wrong. A rupture is a problem or strain in the alliance. This might happen because the therapist and client disagree about goals, because a task feels unhelpful, or because the client feels misunderstood. {{f}} George becoming quiet in the second session is an example of what this might look like. He did not immediately tell the counsellor that there was a problem. His behaviour changed first. Eubanks et al. (2018) looked at 11 {{ic|what type of?}} studies involving 1,314 clients. They found a moderate positive relationship between successful rupture repair and treatment outcomes. This means that having a rupture does not automatically mean therapy has failed. What happens after the rupture is very important. A review by López-Vásquez et al. (2026) examined recommendations for repairing alliance ruptures. The research generally pointed towards recognising the rupture, allowing the client to express their experience, and making changes to tasks or goals when this was needed. The review also showed that cultural background, trauma and the individual context need to be considered. This is exactly what starts to happen with George. His counsellor does not tell him that he is wrong for feeling overwhelmed. The counsellor asks what happened, acknowledges it and then changes the way they work together. {{Robelbox|theme=12|title=Quiz}} <quiz display=simple> {'''George tells his counsellor that he felt misunderstood in the previous session and that the homework did not suit what he needed. Which response would be most consistent with repairing and strengthening the therapeutic alliance?''' |type="()"} - Explain that the homework is evidence-based and therefore George should continue completing it even if he does not feel that it suits his needs. - Ignore George's concern and continue with the treatment plan because changing the planned sessions could interfere with the therapy. + Acknowledge George's experience, explore why the homework felt unhelpful, and collaboratively reconsider the goals and tasks of therapy with him. - Explain that the therapist has greater psychological expertise and should therefore decide which treatment approach is most appropriate. {{ic|See [[Help:Quiz]] for how to dynamically incorporate feedback}} '''Feedback:''' C is the correct option because repairing an alliance rupture involves acknowledging strain in the therapeutic relationship, exploring the client's experience, and working collaboratively to reconsider the goals or tasks of therapy when needed (Bordin, 1979; Eubanks et al., 2018). </quiz> {{Robelbox/close}} == Putting the factors together == The main point is that therapeutic alliance is not caused by one single factor. Figure 2 summarises how therapist factors, client factors, collaboration and rupture repair can interact across the development of the therapeutic alliance. Empathy matters, but empathy needs to be communicated in a way the client actually experiences as understanding. Therapist responsiveness matters because different clients do not need exactly the same interaction. Attachment and past relationships can influence how quickly trust develops. Client preferences and collaboration can affect how involved the client feels. Ruptures can also happen even when the alliance was previously strong. {{f}} {{RoundBoxTop|theme=3}} '''Figure 2'''. '''How therapeutic alliance develops: A simplified model showing how therapist and client factors interact with collaboration and rupture repair across the development of therapeutic alliance''' {{f}} <div style="text-align:center;"> '''Therapist factors + client factors'''<br> ↓<br> '''Goals, tasks and bond'''<br> ↓<br> '''Feedback and collaboration'''<br> ↓<br> '''Rupture and repair when needed'''<br> ↓<br> '''Continuing alliance development''' </div> {{RoundBoxBottom}} This process is also probably two-way. A stronger alliance may help therapy work, but when clients start improving they may also view the therapist and treatment more positively. {{f}} This is why the research needs to be interpreted carefully. Flückiger et al. (2018) found a strong and consistent association between alliance and outcome across a very large research base. Baier et al. (2020) also found that alliance acted as a mediator in many studies. At the same time, Baier et al. found major differences in study design and methodology. The evidence therefore supports alliance as an important psychotherapy process, but it does not mean every positive outcome can be explained by the relationship alone. Understanding this distinction is important because it prevents the therapeutic alliance from turning into the vague idea of simply "having good rapport". The alliance involves real psychological processes. There needs to be trust, but there also needs to be agreement about what therapy is trying to achieve and how the therapist and client will work together. == Conclusion == Therapeutic alliance is built through an ongoing relationship between the therapist and client. Bordin's model {{f}} explains this through agreement on goals, agreement on tasks and the bond between the two people. Rogers' work {{f}} also helps explain why empathy, acceptance and genuineness matter within this relationship. Therapist factors such as empathy and responsiveness can help clients feel understood and involved. Client factors also matter. Attachment, expectations and preferences can affect how easily trust and collaboration develop. This does not mean that clients with insecure attachment or different expectations cannot build a strong alliance. It means that the therapist may need to understand that people enter therapy from different starting points. Another important idea is that alliance does not stay the same. Problems and disagreements can happen. These ruptures are not automatically failures. Recognising the problem, listening to the client's experience and working together to repair it can strengthen the therapy. George's example shows why this matters. His counsellor initially had a plan, but the plan did not feel collaborative to George. The relationship improved when the counsellor stopped, listened and gave George a real role in deciding what happened next. The main takeaway is that a strong therapeutic alliance does not simply appear because therapy has started. It is actively built and maintained through empathy, responsiveness, collaboration and repair. == See also == * [[Motivation and emotion/Book/2025/Coercion and therapeutic alliance|Coercion and therapeutic alliance]] (Book chapter, 2025) * [[w:Therapeutic alliance|Therapeutic alliance]] (Wikipedia) == References == {{Hanging indent|1= Baier, A. L., Kline, A. C., & Feeny, N. C. (2020). Therapeutic alliance as a mediator of change: A systematic review and evaluation of research. ''Clinical Psychology Review, 82'', 101921. {{doi|10.1016/j.cpr.2020.101921}} Bordin, E. S. (1979). The generalizability of the psychoanalytic concept of the working alliance. ''Psychotherapy: Theory, Research & Practice, 16''(3), 252–260. {{doi|10.1037/h0085885}} Culina, I., Fiscalini, E., Martin-Soelch, C., & Kramer, U. (2023). The first session matters: Therapist responsiveness and the therapeutic alliance in the treatment of borderline personality disorder. ''Clinical Psychology & Psychotherapy, 30''(1), 131–140. {{doi|10.1002/cpp.2783}} Elliott, R., Bohart, A. C., Watson, J. C., & Murphy, D. (2018). Therapist empathy and client outcome: An updated meta-analysis. ''Psychotherapy, 55''(4), 399–410. {{doi|10.1037/pst0000175}} Eubanks, C. F., Muran, J. C., & Safran, J. D. (2018). Alliance rupture repair: A meta-analysis. ''Psychotherapy, 55''(4), 508–519. {{doi|10.1037/pst0000185}} Flückiger, C., Del Re, A. C., Wampold, B. E., & Horvath, A. O. (2018). The alliance in adult psychotherapy: A meta-analytic synthesis. ''Psychotherapy, 55''(4), 316–340. {{doi|10.1037/pst0000172}} López-Vásquez, A., González-Araneda, N., Vaccarezza, S., Eubanks, C. F., & Errázuriz, P. (2026). Repairing alliance ruptures in psychotherapy with adults: A scoping review. ''Research in Psychotherapy: Psychopathology, Process and Outcome, 29''(1), 892. {{doi|10.4081/ripppo.2026.892}} Notsu, H., Blansfield, R. E., Spina, D. S., & Levy, K. N. (2025). An updated meta-analysis of the relation between adult attachment style and working alliance. ''Psychotherapy Research, 35''(5), 721–734. {{doi|10.1080/10503307.2024.2370344}} Rogers, C. R. (1957). The necessary and sufficient conditions of therapeutic personality change. ''Journal of Consulting Psychology, 21''(2), 95–103. {{doi|10.1037/h0045357}} Tryon, G. S., Birch, S. E., & Verkuilen, J. (2018). Meta-analyses of the relation of goal consensus and collaboration to psychotherapy outcome. ''Psychotherapy, 55''(4), 372–383. {{doi|10.1037/pst0000170}} Windle, E., Tee, H., Sabitova, A., Jovanovic, N., Priebe, S., & Carr, C. (2020). Association of patient treatment preference with dropout and clinical outcomes in adult psychosocial mental health interventions: A systematic review and meta-analysis. ''JAMA Psychiatry, 77''(3), 294–302. {{doi|10.1001/jamapsychiatry.2019.3750}} }} == External links == * [https://dictionary.apa.org/therapeutic-alliance Therapeutic alliance] (APA Dictionary of Psychology) * [https://societyforpsychotherapy.org/evidence-based-therapy-relationships/ Evidence-based therapy relationships] (Society for the Advancement of Psychotherapy) * [https://societyforpsychotherapy.org/using-microprocess-methods-to-study-client-and-therapist-perceptions-of-working-alliance-ruptures-and-repairs/ Working alliance ruptures and repairs] (Society for the Advancement of Psychotherapy) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Therapeutic alliance]] 96zyc7vwhyrq372560upfqje08w8e0s 0 331417 2844190 2842768 2026-11-03T12:08:41Z Jtneill 10242 /* Interaction between inspiration and effort */ 2844190 wikitext text/x-wiki {{title|Creative inspiration and effort:<br>How do inspiration and effort interact during the creative process?}} __TOC__ == Overview == {{RoundBoxTop|theme=15}} [[File:Artist painting at home. Colorful ballerina.jpg|thumb|'''Figure 1'''. An artist transforming creative inspiration into action through sustained effort.]] ;Imagine this... You have been staring at a blank page for hours, trying to come up with an original idea for a creative project. Just when you decide to take a break, an idea suddenly comes to you. You feel excited and inspired, and you immediately start working. At first, everything seems to flow naturally and you feel confident about what you are creating. This experience shows how inspiration can provide a starting point for creativity. Inspiration can help people recognise new possibilities and motivate them to turn those possibilities into action (Oleynick et al., 2014). An idea may therefore become more than simply an interesting thought when a person feels motivated to develop it. As you continue, however, the excitement begins to fade. The idea is harder to develop than you expected, and finishing the project requires concentration, persistence, and several changes along the way. Even without the same initial feeling of inspiration, you keep working and experimenting with different possibilities. This demonstrates that creativity does not depend on inspiration alone. Developing an initial idea can require continued effort, revision, problem-solving, and persistence. Persistence can be particularly valuable because people may underestimate how many creative ideas they can generate by continuing to work on a task (Lucas & Nordgren, 2015). While doing this, you unexpectedly discover new ideas that make the project even better than you first imagined. This raises an interesting question: Does inspiration drive us to put effort into creative work, or can the effort we put into creating also lead to new inspiration? This question highlights the possible interaction between inspiration and effort. Inspiration may encourage a person to begin creating, while continued engagement with a task may provide opportunities to discover further possibilities. {{RoundBoxBottom}} * '''Creative inspiration can give people new ideas and motivate them to start creating.''' It can also help people see new possibilities and feel more interested in developing an idea. Inspiration can connect the discovery of an idea with the motivation to pursue it. This is reflected in the distinction between being “inspired by” something and being “inspired to” act on it (Oleynick et al., 2014). * '''Inspiration alone may not be enough to produce a creative outcome.''' Turning an initial idea into something meaningful often requires effort, persistence, problem-solving, and making changes along the way. Creative ideas often need to be developed and refined before becoming finished outcomes. Continued effort can therefore help move creativity beyond the initial idea. * '''Inspiration and effort may work together during the creative process.''' Inspiration can encourage someone to put more effort into their work, while continuing to work on an idea may also lead to new ideas and further inspiration. Research supports the idea that inspiration and effort are not necessarily opposites. Thrash et al. (2010) found a positive relationship between inspiration and effort during creative writing, suggesting that inspired individuals may also invest considerable effort in their work. * '''Understanding the relationship between inspiration and effort can help explain how creativity develops.''' It can show how an initial moment of inspiration may eventually become a completed creative outcome through continued effort. Understanding both processes provides a more complete explanation of creativity. Inspiration may provide possibilities and motivation, while effort helps develop and refine those possibilities into creative outcomes. {{RoundBoxTop|theme=15}} '''Focus questions''' * What is creative inspiration and what role does it play in the creative process? * What role does effort play in developing creative ideas? * How does inspiration influence effort during the creative process? * How can effort lead to further inspiration during the creative process? * How do inspiration and effort work together to produce creative outcomes? {{RoundBoxBottom}} == Creative inspiration == {{ic|Remove bullet points}} * Creative inspiration is a motivational state that encourages people to turn ideas into action. It can motivate people to develop or express new possibilities (Oleynick et al., 2014). Creative inspiration is therefore more than simply thinking of something new. A person may have an interesting idea without necessarily feeling motivated to develop it. Inspiration becomes important when the idea creates motivation to explore, express, or transform the possibility into creative work. This helps explain why inspiration can play an important role in moving from the generation of an idea towards its development. {{f}} * Inspiration involves three main characteristics: evocation, transcendence, and approach motivation {{f}}. Together, these describe how inspiration is triggered, creates new possibilities, and motivates action (Thrash & Elliot, 2003). ** '''Evocation''' means that inspiration is experienced as being triggered by something rather than being completely controlled or deliberately produced by the individual. For example, inspiration might be triggered by an experience, another person's work, an unexpected observation, or a new idea. ** '''Transcendence''' involves becoming aware of possibilities that go beyond a person's ordinary concerns or usual way of thinking. It can allow an individual to see something from a different perspective. ** Finally, '''approach motivation''' refers to the motivation to move towards, express, or realise the new possibility. These three characteristics help explain why inspiration can feel spontaneous while still encouraging purposeful action. {{f}} * Inspiration can involve being “inspired by” something and then “inspired to” act. This can help turn an inspiring idea or experience into creative activity (Oleynick et al., 2014). Being “inspired by” describes the experience of encountering or recognising something inspiring, whereas being “inspired to” involves the motivation that follows from that experience. For example, an artist may be inspired by something they observe and then become inspired to create a piece of artwork based on the possibilities they recognised. This distinction shows how inspiration can connect an initial experience with later creative behaviour. * Creative ideas and inspiration are related but different. Creative ideas can come first and then produce inspiration that motivates people to develop those ideas (Thrash et al., 2010). This distinction is important because creativity should not be understood as inspiration simply producing ideas automatically. An individual might first generate or encounter a creative idea and then experience inspiration because of the possibilities represented by that idea. Inspiration can subsequently provide motivation to develop and communicate it. Therefore, the creative idea and the motivational experience of inspiration can be connected while remaining psychologically different processes. {{f}} * Inspiration can help transform initial ideas into creative outcomes. Research found that inspiration helped carry the creativity of an initial idea into the finished product (Thrash et al., 2010). This finding demonstrates the importance of inspiration beyond the beginning of the creative process. An original idea alone does not guarantee an original final product because the idea still needs to be developed and expressed. Inspiration may help maintain the connection between the creative potential of the initial idea and what is eventually produced. However, developing that potential also requires action, which makes effort an important part of understanding how creative inspiration becomes a completed creative outcome. {{f}} == Effort in the creative process == * Effort helps develop and improve creative ideas. Turning an initial idea into a finished product often requires persistence, problem-solving, revision, and continued work (Lucas & Nordgren, 2015). Having an original idea is only the beginning of the creative process. An idea that initially appears exciting may become more difficult to develop once a person begins working on it. Problems may emerge, certain parts may not work as expected, and the individual may need to consider different approaches {{f}}. Effort allows a person to continue working through these difficulties rather than abandoning the original idea. For example, a writer may repeatedly rewrite part of a story, while an artist may experiment with several techniques before achieving the desired result. Effort therefore helps transform an initial possibility into a more developed creative outcome. * Inspiration and effort can contribute differently to creative work. Inspiration predicted creativity, while effort predicted the technical quality of creative products (Thrash et al., 2010). This finding suggests that simply putting more effort into something does not automatically make it more creative. Inspiration may be particularly important for originality and the creative possibilities represented in the work, whereas effort can contribute to how effectively those possibilities are expressed. Technical quality may require careful attention, practice, revision, and improvement. Therefore, a creative product can benefit from both an inspiring idea and the effort required to develop that idea successfully. {{f}} * Effort can support the refinement of creative ideas. Creative work often involves deliberate thinking, making changes, and revising ideas as they develop (Oleynick et al., 2014). Creative ideas can change considerably between their initial generation and their final form. As people continue working, they can evaluate their ideas, identify weaknesses, and explore alternatives. This deliberate process allows creative possibilities to be tested and improved. Effort can therefore contribute to creativity by providing the time and engagement needed for refinement rather than accepting the first version of an idea. {{f}} * Persistence can improve creative performance. People often underestimate the value of continuing with a creative task, even though persistence can lead to more creative ideas (Lucas & Nordgren, 2015). Lucas and Nordgren (2015) found {{how}} that {{who}} people underestimated how productive they could remain when they continued working on creative tasks. This is important because creative work can become increasingly difficult after the most obvious ideas have already been considered. At this point, people may believe that continuing is unlikely to produce anything valuable and may be tempted to stop. However, continuing beyond this point can provide opportunities for less obvious ideas to emerge. Persistence may encourage people to move beyond their immediate responses and consider alternatives that they would not have discovered if they had stopped earlier. Feeling that ideas are becoming difficult to generate therefore does not necessarily mean that further effort has no creative value. {{f}} * Effort and inspiration are not necessarily opposites. They can occur together and contribute in different ways throughout the creative process (Oleynick et al., 2014). Creative work can therefore involve both spontaneous inspiration and deliberate effort. Inspiration may provide an initial possibility or motivation, while effort helps a person develop, evaluate, and improve what has been created. The importance of effort does not reduce the importance of inspiration. Instead, the two processes can complement one another. Understanding effort in this way also leads to another important question: whether feeling inspired can itself motivate people to invest greater effort in their creative work. {{f}} == From inspiration to effort == * Inspiration can motivate people to act on creative ideas. Feeling inspired can encourage a person to move beyond having an idea and begin developing it (Oleynick et al., 2014). Having a creative idea does not necessarily mean that a person will act on it. Inspiration can provide the motivation needed to explore an idea and turn it into creative activity. For example, a writer may think of an interesting story but still needs motivation to begin writing and developing it. Inspiration can encourage this movement from recognising a possibility to actively pursuing it. In this way, inspiration plays an important motivational role because it connects creative possibilities with behaviour. * Inspiration and effort are not opposites. Research suggests that people can experience inspiration while also putting substantial effort into their creative work (Thrash et al., 2010). Creative work is sometimes imagined as something that occurs naturally when a person feels inspired. However, inspiration does not mean that creative work becomes effortless. An individual can feel strongly inspired by an idea while still needing to spend considerable time developing, revising, and improving it. The presence of effort therefore does not necessarily indicate that inspiration is absent. Instead, inspiration may provide a reason for people to continue investing effort because they recognise the possibilities within their creative work. {{f}} * Higher inspiration can be associated with greater effort. Writers who felt more inspired also tended to report putting more effort into their writing (Thrash et al., 2010). This relationship suggests that inspiration may actually encourage greater effort rather than replace it. When people feel excited about an idea and believe that it has creative potential, they may become more willing to invest their attention and energy into developing it. Thrash et al. (2010) therefore provide useful evidence against the assumption that inspired creativity should occur without substantial work. Inspiration and effort can occur together within the same creative activity. * Inspiration may help connect an initial idea with the motivation needed to develop it. The process can move from being “inspired by” an idea to being “inspired to” act on it (Oleynick et al., 2014). The distinction between being “inspired by” and “inspired to” helps explain how inspiration can lead towards effort. Being inspired by something involves recognising a new or valuable possibility, whereas being inspired to involves motivation to pursue or express that possibility. For example, a musician might be inspired by hearing an unusual sound and then become inspired to experiment with that sound in their own music. The original experience provides inspiration, while the motivation that follows encourages creative action. Once a person begins acting on an inspiring possibility, effort becomes increasingly important. The idea may require experimentation, revision, practice, or problem-solving before it becomes a finished creative product. Inspiration can therefore provide motivation and direction, while effort provides the continued action required to develop the idea. {{f}} * Inspiration and effort can therefore complement each other during creativity. Research suggests that both can contribute to creative work, although they may contribute in different ways (Oleynick et al., 2014). Rather than choosing between inspiration and effort as explanations for creativity, it is more useful to consider how they work together. Inspiration can provide possibilities and motivation, while effort allows those possibilities to be explored and developed. This also suggests that their relationship may continue throughout the creative process. Inspiration may encourage effort, while continued effort can create opportunities to discover new ideas and experience further inspiration. {{f}} == Interaction between inspiration and effort == * Inspiration and effort can work together during creative work. {{what}} Research shows a {{ic|how strong?}} positive relationship between inspiration and effort rather than the two being opposites {{huh}} (Thrash et al., 2010). This relationship suggests that creativity does not have to be understood as either spontaneous inspiration or deliberate hard work. A person may experience an inspiring idea and still need to invest considerable effort in developing it. In fact, inspiration may make a person more willing to continue working because they recognise possibilities in what they are creating. Effort can then provide the sustained engagement required to explore those possibilities. Inspiration and effort can therefore operate as connected parts of the creative process rather than separate ways of being creative. The positive relationship identified by Thrash et al. (2010) is particularly important because it challenges the idea that inspiration makes creative work effortless. Inspired individuals may still revise their work, solve problems, experiment with alternatives, and spend considerable time improving what they have created. * Inspiration and effort can contribute in different ways. Inspiration has been associated with greater creativity, while effort has been linked more strongly with the technical quality of creative work (Thrash et al., 2010). This finding suggests that the contribution of inspiration cannot simply be replaced by working harder, and the contribution of effort cannot necessarily be replaced by feeling more inspired. Inspiration may help a person recognise original possibilities and maintain the creative direction of an initial idea. Effort, on the other hand, can contribute to how successfully the idea is developed and expressed. For example, someone could have a highly original idea for a piece of writing, but the final work may still require careful organisation, editing, and revision. Similarly, technically polished work does not automatically become highly creative simply because substantial effort was invested in producing it. The strongest creative outcomes may therefore benefit from both an original or inspiring direction and sufficient effort to develop that direction effectively. {{f}} * Inspiration can help generate and express creative possibilities, while effort helps develop and refine them. Both can therefore contribute to the creative process in different ways (Oleynick et al., 2014). Creative ideas often change while they are being developed. An initial possibility can provide direction, but continued work allows a person to evaluate the idea and discover what needs to be changed. During this process, the individual may experiment with alternatives, identify problems, and discover possibilities that were not obvious at the beginning. This also suggests that the relationship between inspiration and effort may not always follow a simple pattern where inspiration occurs first and effort occurs afterwards. Continued engagement with creative work can expose people to new information, unexpected results, or different ways of approaching a problem. These experiences may create opportunities for further inspiration. Creativity can therefore involve repeated movement between inspired possibilities and deliberate development. {{f}} * Creative work can involve both spontaneous and deliberate processes. Inspiration may provide motivation and direction, while sustained effort helps turn ideas into completed creative work (Oleynick et al., 2014). Spontaneous experiences can be valuable because they may allow people to recognise possibilities that they had not deliberately searched for. However, deliberate processes become important when those possibilities need to be transformed into something more complete. This can involve planning, evaluating, practising, revising, and persisting when difficulties occur. The interaction between the two processes provides a more complete explanation of creativity than focusing on either one alone. Inspiration can help explain where motivation and creative direction may come from, while effort helps explain how an idea continues to develop after the initial moment of inspiration. At the same time, sustained engagement can create new opportunities for ideas to emerge, meaning that inspiration may occur repeatedly rather than only at the beginning. {{f}} == Supporting inspiration and sustained creative effort == * [[Motivation and emotion/Book/2024/Intrinsic motivation and creativity|Intrinsic motivation]] is positively related to creativity. People with greater intrinsic motivation tend to produce more creative outcomes (Jesus et al., 2013). Intrinsic motivation occurs when people engage in an activity because they find it interesting, enjoyable, or personally meaningful rather than because they are focused mainly on external rewards. This type of motivation can be particularly useful for creativity because creative tasks often require exploration and continued engagement. When people genuinely enjoy what they are doing, they may be more willing to experiment with different ideas, explore possibilities, and continue working when difficulties occur. Intrinsic motivation can therefore help provide the sustained interest needed to support both creative inspiration and effort. {{f}} * A supportive environment can help creative motivation. Having autonomy, encouragement, and opportunities to explore ideas can make it easier for people to engage in creative work (Amabile & Pratt, 2016). Creativity does not occur independently of the environment in which a person is working. Conditions that allow individuals to explore their own ideas can support creative motivation. Autonomy can be particularly important because having some control over how a task is approached allows people to experiment and pursue possibilities that they find interesting. Encouragement from other people can also help individuals feel that their creative efforts are valued.In contrast, environments that provide little freedom or discourage experimentation may make creative engagement more difficult. This demonstrates that supporting creativity involves more than simply telling someone to be creative. The surrounding conditions can influence whether people feel motivated to explore ideas and continue developing them. {{f}} * Persistence can help when inspiration begins to fade. Continuing to work on a difficult creative task can lead to more creative ideas than people often expect (Lucas & Nordgren, 2015). Inspiration may be strongest when a creative idea first appears, but this feeling may not remain constant throughout a project. Difficulties can emerge as the person begins developing the idea, and progress may become slower. At this point, persistence becomes particularly important. Instead of interpreting difficulty as evidence that no more useful ideas are available, continuing to engage with the problem may allow further possibilities to emerge. Lucas and Nordgren (2015) showed {{how}} that {{who}} people can underestimate the creative value of persistence. This suggests that a practical way to support creativity is to continue working beyond the point where generating ideas begins to feel difficult. Effort can therefore maintain creative activity even when inspiration temporarily becomes weaker. * Taking breaks may also support creative thinking. Research suggests {{how}} that stepping away from a problem for a period of time can sometimes improve later creative performance (Sio & Ormerod, 2009). Sustained effort does not necessarily mean working continuously without stopping. Taking a temporary break can sometimes be useful when a person becomes stuck on a creative problem. This is often discussed {{f}} in relation to '''incubation''', where a period away from active problem-solving can support later performance. A break may allow a person to return to the problem with a different perspective or become less focused on an unsuccessful approach. This means that effective creative effort may involve knowing when to persist and when temporarily stepping away could be useful. A break is not necessarily the opposite of effort because it can form part of a longer process of sustained engagement with a creative task. * Supporting creativity may therefore involve both encouraging inspiration and maintaining effort. Creative outcomes can benefit from conditions that support motivation, persistence, and continued development of ideas (Amabile & Pratt, 2016). There is therefore no single strategy that guarantees inspiration or creativity. Instead, creativity can be supported by conditions that encourage people to explore possibilities while also helping them continue developing their ideas. Intrinsic motivation and supportive environments can encourage engagement, persistence can help when progress becomes difficult, and appropriate breaks can create opportunities to approach problems differently. Together, these strategies demonstrate how both inspiration and sustained effort can be supported throughout the creative process. == Conclusion == * Inspiration and effort both contribute to creativity, but they play different roles throughout the creative process. Creative work cannot be fully explained by inspiration or effort alone. Inspiration can introduce new possibilities and provide motivation, while effort allows those possibilities to be explored and developed. Their different roles mean that both can contribute to the development of a successful creative outcome. * Inspiration can provide ideas and motivation, while effort helps develop, improve, and complete those ideas. Inspiration can encourage people to move from recognising a creative possibility to wanting to act on it. However, an inspiring idea may still require considerable work before it becomes a completed product. Effort allows people to experiment, solve problems, make changes, and refine what they initially imagined. * Effort can keep the creative process moving when inspiration fades, through persistence, revision, and problem-solving. Creative work does not always remain exciting or easy. When difficulties emerge, persistence can allow individuals to continue exploring possibilities rather than stopping when their initial inspiration becomes weaker. Continued engagement can also create opportunities for unexpected ideas and new inspiration to emerge. * Overall, inspiration and effort work together, helping transform initial ideas into developed creative outcomes. The relationship between the two can therefore be understood as dynamic rather than as a choice between inspiration and hard work. Inspiration may encourage effort, while sustained effort can create further opportunities for creative possibilities to appear. The key take-home message is that creativity often begins with possibility, but developing that possibility requires continued engagement. Understanding how inspiration and effort support one another provides a more complete explanation of how creative ideas become meaningful and completed creative outcomes. == See also == {{ic|Use bullet points as shown in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]}} [[w:Creativity|Creativity]] (Wikipedia) [[w:Motivation|Motivation]] (Wikipedia) [[Motivation and emotion/Book/2014/Creativity and emotion|Creativity and emotion]] (Book Chapter, 2014) [[Motivation and emotion/Book/2016/Artistic creation motivation|Artistic creation motivation]] (Book Chapter,2016) == References == {{Hanging indent|1= Amabile, T. M., & Pratt, M. G. (2016). The dynamic componential model of creativity and innovation in organizations: Making progress, making meaning. Research in Organizational Behavior, 36, 157–183. https://doi.org/10.1016/j.riob.2016.10.001 Jesus, S. N., Rus, C. L., Lens, W., & Imaginário, S. (2013). Intrinsic motivation and creativity related to product: A meta-analysis of the studies published between 1990–2010. Creativity Research Journal, 25(1), 80–84. https://doi.org/10.1080/10400419.2013.752235 Lucas, B. J., & Nordgren, L. F. (2015). People underestimate the value of persistence for creative performance. Journal of Personality and Social Psychology, 109(2), 232–243. https://doi.org/10.1037/pspa0000030 Oleynick, V. C., Thrash, T. M., LeFew, M. C., Moldovan, E. G., & Kieffaber, P. D. (2014). The scientific study of inspiration in the creative process: Challenges and opportunities. Frontiers in Human Neuroscience, 8, Article 436. https://doi.org/10.3389/fnhum.2014.00436 Sio, U. N., & Ormerod, T. C. (2009). Does incubation enhance problem solving? A meta-analytic review. Psychological Bulletin, 135(1), 94–120. https://doi.org/10.1037/a0014212 Thrash, T. M., & Elliot, A. J. (2003). Inspiration as a psychological construct. Journal of Personality and Social Psychology, 84(4), 871–889. https://doi.org/10.1037/0022-3514.84.4.871 Thrash, T. M., Maruskin, L. A., Cassidy, S. E., Fryer, J. W., & Ryan, R. M. (2010). Mediating between the muse and the masses: Inspiration and the actualization of creative ideas. Journal of Personality and Social Psychology, 98(3), 469–487. https://doi.org/10.1037/a0017907 }} == External Links == {{ic|Use bullet points as shown in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]}} [https://www.youtube.com/watch?v=lSaNEcNprzw The Art of Creative Inspiration] (Youtube video) [https://www.apa.org/monitor/2022/04/cover-science-creativity The Science behind creativity] ( American Psychological Association) [https://www.youtube.com/watch?v=AzJcNwDeS2c Inspiration: Find it, Use it, Share it] ( Youtube video) [https://www.psychologytoday.com/au/blog/explorations-of-the-mind/202309/creativity-and-inspiration-thinking-outside-the-box Creativity and inspiration] (Psychology today) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Creativity]] [[Category:Motivation and emotion/Book/Effort]] 3bkdpv5sos167t45i2sy6i4ta2rcp98 2844191 2844190 2026-11-03T12:11:31Z Jtneill 10242 /* Interaction between inspiration and effort */ 2844191 wikitext text/x-wiki {{title|Creative inspiration and effort:<br>How do inspiration and effort interact during the creative process?}} __TOC__ == Overview == {{RoundBoxTop|theme=15}} [[File:Artist painting at home. Colorful ballerina.jpg|thumb|'''Figure 1'''. An artist transforming creative inspiration into action through sustained effort.]] ;Imagine this... You have been staring at a blank page for hours, trying to come up with an original idea for a creative project. Just when you decide to take a break, an idea suddenly comes to you. You feel excited and inspired, and you immediately start working. At first, everything seems to flow naturally and you feel confident about what you are creating. This experience shows how inspiration can provide a starting point for creativity. Inspiration can help people recognise new possibilities and motivate them to turn those possibilities into action (Oleynick et al., 2014). An idea may therefore become more than simply an interesting thought when a person feels motivated to develop it. As you continue, however, the excitement begins to fade. The idea is harder to develop than you expected, and finishing the project requires concentration, persistence, and several changes along the way. Even without the same initial feeling of inspiration, you keep working and experimenting with different possibilities. This demonstrates that creativity does not depend on inspiration alone. Developing an initial idea can require continued effort, revision, problem-solving, and persistence. Persistence can be particularly valuable because people may underestimate how many creative ideas they can generate by continuing to work on a task (Lucas & Nordgren, 2015). While doing this, you unexpectedly discover new ideas that make the project even better than you first imagined. This raises an interesting question: Does inspiration drive us to put effort into creative work, or can the effort we put into creating also lead to new inspiration? This question highlights the possible interaction between inspiration and effort. Inspiration may encourage a person to begin creating, while continued engagement with a task may provide opportunities to discover further possibilities. {{RoundBoxBottom}} * '''Creative inspiration can give people new ideas and motivate them to start creating.''' It can also help people see new possibilities and feel more interested in developing an idea. Inspiration can connect the discovery of an idea with the motivation to pursue it. This is reflected in the distinction between being “inspired by” something and being “inspired to” act on it (Oleynick et al., 2014). * '''Inspiration alone may not be enough to produce a creative outcome.''' Turning an initial idea into something meaningful often requires effort, persistence, problem-solving, and making changes along the way. Creative ideas often need to be developed and refined before becoming finished outcomes. Continued effort can therefore help move creativity beyond the initial idea. * '''Inspiration and effort may work together during the creative process.''' Inspiration can encourage someone to put more effort into their work, while continuing to work on an idea may also lead to new ideas and further inspiration. Research supports the idea that inspiration and effort are not necessarily opposites. Thrash et al. (2010) found a positive relationship between inspiration and effort during creative writing, suggesting that inspired individuals may also invest considerable effort in their work. * '''Understanding the relationship between inspiration and effort can help explain how creativity develops.''' It can show how an initial moment of inspiration may eventually become a completed creative outcome through continued effort. Understanding both processes provides a more complete explanation of creativity. Inspiration may provide possibilities and motivation, while effort helps develop and refine those possibilities into creative outcomes. {{RoundBoxTop|theme=15}} '''Focus questions''' * What is creative inspiration and what role does it play in the creative process? * What role does effort play in developing creative ideas? * How does inspiration influence effort during the creative process? * How can effort lead to further inspiration during the creative process? * How do inspiration and effort work together to produce creative outcomes? {{RoundBoxBottom}} == Creative inspiration == {{ic|Remove bullet points}} * Creative inspiration is a motivational state that encourages people to turn ideas into action. It can motivate people to develop or express new possibilities (Oleynick et al., 2014). Creative inspiration is therefore more than simply thinking of something new. A person may have an interesting idea without necessarily feeling motivated to develop it. Inspiration becomes important when the idea creates motivation to explore, express, or transform the possibility into creative work. This helps explain why inspiration can play an important role in moving from the generation of an idea towards its development. {{f}} * Inspiration involves three main characteristics: evocation, transcendence, and approach motivation {{f}}. Together, these describe how inspiration is triggered, creates new possibilities, and motivates action (Thrash & Elliot, 2003). ** '''Evocation''' means that inspiration is experienced as being triggered by something rather than being completely controlled or deliberately produced by the individual. For example, inspiration might be triggered by an experience, another person's work, an unexpected observation, or a new idea. ** '''Transcendence''' involves becoming aware of possibilities that go beyond a person's ordinary concerns or usual way of thinking. It can allow an individual to see something from a different perspective. ** Finally, '''approach motivation''' refers to the motivation to move towards, express, or realise the new possibility. These three characteristics help explain why inspiration can feel spontaneous while still encouraging purposeful action. {{f}} * Inspiration can involve being “inspired by” something and then “inspired to” act. This can help turn an inspiring idea or experience into creative activity (Oleynick et al., 2014). Being “inspired by” describes the experience of encountering or recognising something inspiring, whereas being “inspired to” involves the motivation that follows from that experience. For example, an artist may be inspired by something they observe and then become inspired to create a piece of artwork based on the possibilities they recognised. This distinction shows how inspiration can connect an initial experience with later creative behaviour. * Creative ideas and inspiration are related but different. Creative ideas can come first and then produce inspiration that motivates people to develop those ideas (Thrash et al., 2010). This distinction is important because creativity should not be understood as inspiration simply producing ideas automatically. An individual might first generate or encounter a creative idea and then experience inspiration because of the possibilities represented by that idea. Inspiration can subsequently provide motivation to develop and communicate it. Therefore, the creative idea and the motivational experience of inspiration can be connected while remaining psychologically different processes. {{f}} * Inspiration can help transform initial ideas into creative outcomes. Research found that inspiration helped carry the creativity of an initial idea into the finished product (Thrash et al., 2010). This finding demonstrates the importance of inspiration beyond the beginning of the creative process. An original idea alone does not guarantee an original final product because the idea still needs to be developed and expressed. Inspiration may help maintain the connection between the creative potential of the initial idea and what is eventually produced. However, developing that potential also requires action, which makes effort an important part of understanding how creative inspiration becomes a completed creative outcome. {{f}} == Effort in the creative process == * Effort helps develop and improve creative ideas. Turning an initial idea into a finished product often requires persistence, problem-solving, revision, and continued work (Lucas & Nordgren, 2015). Having an original idea is only the beginning of the creative process. An idea that initially appears exciting may become more difficult to develop once a person begins working on it. Problems may emerge, certain parts may not work as expected, and the individual may need to consider different approaches {{f}}. Effort allows a person to continue working through these difficulties rather than abandoning the original idea. For example, a writer may repeatedly rewrite part of a story, while an artist may experiment with several techniques before achieving the desired result. Effort therefore helps transform an initial possibility into a more developed creative outcome. * Inspiration and effort can contribute differently to creative work. Inspiration predicted creativity, while effort predicted the technical quality of creative products (Thrash et al., 2010). This finding suggests that simply putting more effort into something does not automatically make it more creative. Inspiration may be particularly important for originality and the creative possibilities represented in the work, whereas effort can contribute to how effectively those possibilities are expressed. Technical quality may require careful attention, practice, revision, and improvement. Therefore, a creative product can benefit from both an inspiring idea and the effort required to develop that idea successfully. {{f}} * Effort can support the refinement of creative ideas. Creative work often involves deliberate thinking, making changes, and revising ideas as they develop (Oleynick et al., 2014). Creative ideas can change considerably between their initial generation and their final form. As people continue working, they can evaluate their ideas, identify weaknesses, and explore alternatives. This deliberate process allows creative possibilities to be tested and improved. Effort can therefore contribute to creativity by providing the time and engagement needed for refinement rather than accepting the first version of an idea. {{f}} * Persistence can improve creative performance. People often underestimate the value of continuing with a creative task, even though persistence can lead to more creative ideas (Lucas & Nordgren, 2015). Lucas and Nordgren (2015) found {{how}} that {{who}} people underestimated how productive they could remain when they continued working on creative tasks. This is important because creative work can become increasingly difficult after the most obvious ideas have already been considered. At this point, people may believe that continuing is unlikely to produce anything valuable and may be tempted to stop. However, continuing beyond this point can provide opportunities for less obvious ideas to emerge. Persistence may encourage people to move beyond their immediate responses and consider alternatives that they would not have discovered if they had stopped earlier. Feeling that ideas are becoming difficult to generate therefore does not necessarily mean that further effort has no creative value. {{f}} * Effort and inspiration are not necessarily opposites. They can occur together and contribute in different ways throughout the creative process (Oleynick et al., 2014). Creative work can therefore involve both spontaneous inspiration and deliberate effort. Inspiration may provide an initial possibility or motivation, while effort helps a person develop, evaluate, and improve what has been created. The importance of effort does not reduce the importance of inspiration. Instead, the two processes can complement one another. Understanding effort in this way also leads to another important question: whether feeling inspired can itself motivate people to invest greater effort in their creative work. {{f}} == From inspiration to effort == * Inspiration can motivate people to act on creative ideas. Feeling inspired can encourage a person to move beyond having an idea and begin developing it (Oleynick et al., 2014). Having a creative idea does not necessarily mean that a person will act on it. Inspiration can provide the motivation needed to explore an idea and turn it into creative activity. For example, a writer may think of an interesting story but still needs motivation to begin writing and developing it. Inspiration can encourage this movement from recognising a possibility to actively pursuing it. In this way, inspiration plays an important motivational role because it connects creative possibilities with behaviour. * Inspiration and effort are not opposites. Research suggests that people can experience inspiration while also putting substantial effort into their creative work (Thrash et al., 2010). Creative work is sometimes imagined as something that occurs naturally when a person feels inspired. However, inspiration does not mean that creative work becomes effortless. An individual can feel strongly inspired by an idea while still needing to spend considerable time developing, revising, and improving it. The presence of effort therefore does not necessarily indicate that inspiration is absent. Instead, inspiration may provide a reason for people to continue investing effort because they recognise the possibilities within their creative work. {{f}} * Higher inspiration can be associated with greater effort. Writers who felt more inspired also tended to report putting more effort into their writing (Thrash et al., 2010). This relationship suggests that inspiration may actually encourage greater effort rather than replace it. When people feel excited about an idea and believe that it has creative potential, they may become more willing to invest their attention and energy into developing it. Thrash et al. (2010) therefore provide useful evidence against the assumption that inspired creativity should occur without substantial work. Inspiration and effort can occur together within the same creative activity. * Inspiration may help connect an initial idea with the motivation needed to develop it. The process can move from being “inspired by” an idea to being “inspired to” act on it (Oleynick et al., 2014). The distinction between being “inspired by” and “inspired to” helps explain how inspiration can lead towards effort. Being inspired by something involves recognising a new or valuable possibility, whereas being inspired to involves motivation to pursue or express that possibility. For example, a musician might be inspired by hearing an unusual sound and then become inspired to experiment with that sound in their own music. The original experience provides inspiration, while the motivation that follows encourages creative action. Once a person begins acting on an inspiring possibility, effort becomes increasingly important. The idea may require experimentation, revision, practice, or problem-solving before it becomes a finished creative product. Inspiration can therefore provide motivation and direction, while effort provides the continued action required to develop the idea. {{f}} * Inspiration and effort can therefore complement each other during creativity. Research suggests that both can contribute to creative work, although they may contribute in different ways (Oleynick et al., 2014). Rather than choosing between inspiration and effort as explanations for creativity, it is more useful to consider how they work together. Inspiration can provide possibilities and motivation, while effort allows those possibilities to be explored and developed. This also suggests that their relationship may continue throughout the creative process. Inspiration may encourage effort, while continued effort can create opportunities to discover new ideas and experience further inspiration. {{f}} == Interaction between inspiration and effort == * Inspiration and effort can work together during creative work. {{what}} Research shows a {{ic|how strong?}} positive relationship between inspiration and effort rather than the two being opposites {{huh}} (Thrash et al., 2010). This relationship suggests that creativity does not have to be understood as either spontaneous inspiration or deliberate hard work. A person may experience an inspiring idea and still need to invest considerable effort in developing it. In fact, inspiration may make a person more willing to continue working because they recognise possibilities in what they are creating. Effort can then provide the sustained engagement required to explore those possibilities. Inspiration and effort can therefore operate as connected parts of the creative process rather than separate ways of being creative. The positive relationship identified by Thrash et al. (2010) is particularly important because it challenges the idea that inspiration makes creative work effortless. Inspired individuals may still revise their work, solve problems, experiment with alternatives, and spend considerable time improving what they have created. * Inspiration and effort can contribute in different ways. Inspiration has been associated {{how}} with greater creativity, while effort has been linked more strongly with the technical quality of creative work (Thrash et al., 2010). This finding suggests that the contribution of inspiration cannot simply be replaced by working harder, and the contribution of effort cannot necessarily be replaced by feeling more inspired. Inspiration may help a person recognise original possibilities and maintain the creative direction of an initial idea. Effort, on the other hand, can contribute to how successfully the idea is developed and expressed. For example, someone could have a highly original idea for a piece of writing, but the final work may still require careful organisation, editing, and revision. Similarly, technically polished work does not automatically become highly creative simply because substantial effort was invested in producing it. The strongest creative outcomes may therefore benefit from both an original or inspiring direction and sufficient effort to develop that direction effectively. {{f}} * Inspiration can help generate and express creative possibilities, while effort helps develop and refine them. Both can therefore contribute to the creative process in different ways (Oleynick et al., 2014). Creative ideas often change while they are being developed. An initial possibility can provide direction, but continued work allows a person to evaluate the idea and discover what needs to be changed. During this process, the individual may experiment with alternatives, identify problems, and discover possibilities that were not obvious at the beginning. This also suggests that the relationship between inspiration and effort may not always follow a simple pattern where inspiration occurs first and effort occurs afterwards. Continued engagement with creative work can expose people to new information, unexpected results, or different ways of approaching a problem. These experiences may create opportunities for further inspiration. Creativity can therefore involve repeated movement between inspired possibilities and deliberate development. {{f}} * Creative work can involve both spontaneous and deliberate processes. Inspiration may provide motivation and direction, while sustained effort helps turn ideas into completed creative work (Oleynick et al., 2014). Spontaneous experiences can be valuable because they may allow people to recognise possibilities that they had not deliberately searched for. However, deliberate processes become important when those possibilities need to be transformed into something more complete. This can involve planning, evaluating, practising, revising, and persisting when difficulties occur. The interaction between the two processes provides a more complete explanation of creativity than focusing on either one alone. Inspiration can help explain where motivation and creative direction may come from, while effort helps explain how an idea continues to develop after the initial moment of inspiration. At the same time, sustained engagement can create new opportunities for ideas to emerge, meaning that inspiration may occur repeatedly rather than only at the beginning. {{f}} == Supporting inspiration and sustained creative effort == * [[Motivation and emotion/Book/2024/Intrinsic motivation and creativity|Intrinsic motivation]] is positively related to creativity. People with greater intrinsic motivation tend to produce more creative outcomes (Jesus et al., 2013). Intrinsic motivation occurs when people engage in an activity because they find it interesting, enjoyable, or personally meaningful rather than because they are focused mainly on external rewards. This type of motivation can be particularly useful for creativity because creative tasks often require exploration and continued engagement. When people genuinely enjoy what they are doing, they may be more willing to experiment with different ideas, explore possibilities, and continue working when difficulties occur. Intrinsic motivation can therefore help provide the sustained interest needed to support both creative inspiration and effort. {{f}} * A supportive environment can help creative motivation. Having autonomy, encouragement, and opportunities to explore ideas can make it easier for people to engage in creative work (Amabile & Pratt, 2016). Creativity does not occur independently of the environment in which a person is working. Conditions that allow individuals to explore their own ideas can support creative motivation. Autonomy can be particularly important because having some control over how a task is approached allows people to experiment and pursue possibilities that they find interesting. Encouragement from other people can also help individuals feel that their creative efforts are valued.In contrast, environments that provide little freedom or discourage experimentation may make creative engagement more difficult. This demonstrates that supporting creativity involves more than simply telling someone to be creative. The surrounding conditions can influence whether people feel motivated to explore ideas and continue developing them. {{f}} * Persistence can help when inspiration begins to fade. Continuing to work on a difficult creative task can lead to more creative ideas than people often expect (Lucas & Nordgren, 2015). Inspiration may be strongest when a creative idea first appears, but this feeling may not remain constant throughout a project. Difficulties can emerge as the person begins developing the idea, and progress may become slower. At this point, persistence becomes particularly important. Instead of interpreting difficulty as evidence that no more useful ideas are available, continuing to engage with the problem may allow further possibilities to emerge. Lucas and Nordgren (2015) showed {{how}} that {{who}} people can underestimate the creative value of persistence. This suggests that a practical way to support creativity is to continue working beyond the point where generating ideas begins to feel difficult. Effort can therefore maintain creative activity even when inspiration temporarily becomes weaker. * Taking breaks may also support creative thinking. Research suggests {{how}} that stepping away from a problem for a period of time can sometimes improve later creative performance (Sio & Ormerod, 2009). Sustained effort does not necessarily mean working continuously without stopping. Taking a temporary break can sometimes be useful when a person becomes stuck on a creative problem. This is often discussed {{f}} in relation to '''incubation''', where a period away from active problem-solving can support later performance. A break may allow a person to return to the problem with a different perspective or become less focused on an unsuccessful approach. This means that effective creative effort may involve knowing when to persist and when temporarily stepping away could be useful. A break is not necessarily the opposite of effort because it can form part of a longer process of sustained engagement with a creative task. * Supporting creativity may therefore involve both encouraging inspiration and maintaining effort. Creative outcomes can benefit from conditions that support motivation, persistence, and continued development of ideas (Amabile & Pratt, 2016). There is therefore no single strategy that guarantees inspiration or creativity. Instead, creativity can be supported by conditions that encourage people to explore possibilities while also helping them continue developing their ideas. Intrinsic motivation and supportive environments can encourage engagement, persistence can help when progress becomes difficult, and appropriate breaks can create opportunities to approach problems differently. Together, these strategies demonstrate how both inspiration and sustained effort can be supported throughout the creative process. == Conclusion == * Inspiration and effort both contribute to creativity, but they play different roles throughout the creative process. Creative work cannot be fully explained by inspiration or effort alone. Inspiration can introduce new possibilities and provide motivation, while effort allows those possibilities to be explored and developed. Their different roles mean that both can contribute to the development of a successful creative outcome. * Inspiration can provide ideas and motivation, while effort helps develop, improve, and complete those ideas. Inspiration can encourage people to move from recognising a creative possibility to wanting to act on it. However, an inspiring idea may still require considerable work before it becomes a completed product. Effort allows people to experiment, solve problems, make changes, and refine what they initially imagined. * Effort can keep the creative process moving when inspiration fades, through persistence, revision, and problem-solving. Creative work does not always remain exciting or easy. When difficulties emerge, persistence can allow individuals to continue exploring possibilities rather than stopping when their initial inspiration becomes weaker. Continued engagement can also create opportunities for unexpected ideas and new inspiration to emerge. * Overall, inspiration and effort work together, helping transform initial ideas into developed creative outcomes. The relationship between the two can therefore be understood as dynamic rather than as a choice between inspiration and hard work. Inspiration may encourage effort, while sustained effort can create further opportunities for creative possibilities to appear. The key take-home message is that creativity often begins with possibility, but developing that possibility requires continued engagement. Understanding how inspiration and effort support one another provides a more complete explanation of how creative ideas become meaningful and completed creative outcomes. == See also == {{ic|Use bullet points as shown in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]}} [[w:Creativity|Creativity]] (Wikipedia) [[w:Motivation|Motivation]] (Wikipedia) [[Motivation and emotion/Book/2014/Creativity and emotion|Creativity and emotion]] (Book Chapter, 2014) [[Motivation and emotion/Book/2016/Artistic creation motivation|Artistic creation motivation]] (Book Chapter,2016) == References == {{Hanging indent|1= Amabile, T. M., & Pratt, M. G. (2016). The dynamic componential model of creativity and innovation in organizations: Making progress, making meaning. Research in Organizational Behavior, 36, 157–183. https://doi.org/10.1016/j.riob.2016.10.001 Jesus, S. N., Rus, C. L., Lens, W., & Imaginário, S. (2013). Intrinsic motivation and creativity related to product: A meta-analysis of the studies published between 1990–2010. Creativity Research Journal, 25(1), 80–84. https://doi.org/10.1080/10400419.2013.752235 Lucas, B. J., & Nordgren, L. F. (2015). People underestimate the value of persistence for creative performance. Journal of Personality and Social Psychology, 109(2), 232–243. https://doi.org/10.1037/pspa0000030 Oleynick, V. C., Thrash, T. M., LeFew, M. C., Moldovan, E. G., & Kieffaber, P. D. (2014). The scientific study of inspiration in the creative process: Challenges and opportunities. Frontiers in Human Neuroscience, 8, Article 436. https://doi.org/10.3389/fnhum.2014.00436 Sio, U. N., & Ormerod, T. C. (2009). Does incubation enhance problem solving? A meta-analytic review. Psychological Bulletin, 135(1), 94–120. https://doi.org/10.1037/a0014212 Thrash, T. M., & Elliot, A. J. (2003). Inspiration as a psychological construct. Journal of Personality and Social Psychology, 84(4), 871–889. https://doi.org/10.1037/0022-3514.84.4.871 Thrash, T. M., Maruskin, L. A., Cassidy, S. E., Fryer, J. W., & Ryan, R. M. (2010). Mediating between the muse and the masses: Inspiration and the actualization of creative ideas. Journal of Personality and Social Psychology, 98(3), 469–487. https://doi.org/10.1037/a0017907 }} == External Links == {{ic|Use bullet points as shown in [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]}} [https://www.youtube.com/watch?v=lSaNEcNprzw The Art of Creative Inspiration] (Youtube video) [https://www.apa.org/monitor/2022/04/cover-science-creativity The Science behind creativity] ( American Psychological Association) [https://www.youtube.com/watch?v=AzJcNwDeS2c Inspiration: Find it, Use it, Share it] ( Youtube video) [https://www.psychologytoday.com/au/blog/explorations-of-the-mind/202309/creativity-and-inspiration-thinking-outside-the-box Creativity and inspiration] (Psychology today) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Creativity]] [[Category:Motivation and emotion/Book/Effort]] djewvtp4ni46xmukcdkgctwb3cm44nc 2 331446 2844245 2826566 2026-11-03T16:40:04Z Diaz Chas 3109441 /* Social Contributions */ added a social contribution 2844245 wikitext text/x-wiki {{DISPLAYTITLE: Diaz Chas}} == About Me == Hi! My name is '''Chastine'''. I am a '''third-year''' Bachelor of Science in [[w:Psychology|Psychology]] student at the '''[https://www.canberra.edu.au/ University of Canberra]'''. == Hobbies == [[File:Woman’s Tambourine Dance, Cheremosh Ukrainian Dance Company.jpg|thumb|350x350px|'''Figure 1'''. Dancing is a fun way to pass the time.]] Some hobbies I have include: * Playing [[w:Volleyball|volleyball]] * [[w:Dance|Dancing]] * Listening to [[w:Music|music]] * Watching movies and shows: # [[w:Zombie|Zombie]] movies # [[Anime]] series # [[w:Korean_drama|K-drama]] series == My Book Chapter == I am currently working on the topic of [[Motivation and emotion/Book/2026/Enjoyment and learning|enjoyment and learning]]. == Social Contributions == # [[Talk:Motivation and emotion/Book/2026/Occupational violence, emotion, and coping|Suggested to refer to the template exemplar for the layout.]] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FSelf-determination_theory_and_military_veteran_reintegration&diff=2826492&oldid=2825818 Changed the casing of a title for consistency.] # [https://uclearn.canberra.edu.au/courses/20143/discussion_topics/456345 Shared about how I motivate myself.] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FAutomaticity_and_goal_pursuit&diff=2844240&oldid=2840419 Removed the assessment instruction for a more polished look.] pofrclktbrbuvtbaajslyvk5l70x8xp 2844282 2844245 2026-11-03T17:33:47Z Diaz Chas 3109441 /* Social Contributions */ added some social contributions 2844282 wikitext text/x-wiki {{DISPLAYTITLE: Diaz Chas}} == About Me == Hi! My name is '''Chastine'''. I am a '''third-year''' Bachelor of Science in [[w:Psychology|Psychology]] student at the '''[https://www.canberra.edu.au/ University of Canberra]'''. == Hobbies == [[File:Woman’s Tambourine Dance, Cheremosh Ukrainian Dance Company.jpg|thumb|350x350px|'''Figure 1'''. Dancing is a fun way to pass the time.]] Some hobbies I have include: * Playing [[w:Volleyball|volleyball]] * [[w:Dance|Dancing]] * Listening to [[w:Music|music]] * Watching movies and shows: # [[w:Zombie|Zombie]] movies # [[Anime]] series # [[w:Korean_drama|K-drama]] series == My Book Chapter == I am currently working on the topic of [[Motivation and emotion/Book/2026/Enjoyment and learning|enjoyment and learning]]. == Social Contributions == # [[Talk:Motivation and emotion/Book/2026/Occupational violence, emotion, and coping|Suggested to refer to the template exemplar for the layout.]] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FSelf-determination_theory_and_military_veteran_reintegration&diff=2826492&oldid=2825818 Changed the casing of a title for consistency.] # [https://uclearn.canberra.edu.au/courses/20143/discussion_topics/456345 Shared about how I motivate myself.] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FAutomaticity_and_goal_pursuit&diff=2844240&oldid=2840419 Removed the assessment instruction for a more polished look.] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FAdolescent_risk-taking_and_reward-system_development&diff=2844281&oldid=2841492 Reordered references] ramqjxmrhgas372koixq52jfxf34xuh 2844286 2844282 2026-11-03T18:06:04Z Diaz Chas 3109441 /* Social Contributions */ added more social contributions and edited the name under the book chapter section 2844286 wikitext text/x-wiki {{DISPLAYTITLE: Diaz Chas}} == About Me == Hi! My name is '''Chastine'''. I am a '''third-year''' Bachelor of Science in [[w:Psychology|Psychology]] student at the '''[https://www.canberra.edu.au/ University of Canberra]'''. == Hobbies == [[File:Woman’s Tambourine Dance, Cheremosh Ukrainian Dance Company.jpg|thumb|320x320px|'''Figure 1'''. Dancing is a fun way to pass the time.]] Some hobbies I have include: * Playing [[w:Volleyball|volleyball]] * [[w:Dance|Dancing]] * Listening to [[w:Music|music]] * Watching movies and shows: # [[w:Zombie|Zombie]] movies # [[Anime]] series # [[w:Korean_drama|K-drama]] series == My Book Chapter == [[Motivation and emotion/Book/2026/Enjoyment and learning|Enjoyment and learning - How does enjoyment influence learning?]] == Social Contributions == # [[Talk:Motivation and emotion/Book/2026/Occupational violence, emotion, and coping|Suggested to refer to the template exemplar for the layout.]] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FSelf-determination_theory_and_military_veteran_reintegration&diff=2826492&oldid=2825818 Changed the casing of a title for consistency.] # [https://uclearn.canberra.edu.au/courses/20143/discussion_topics/456345 Shared about how I motivate myself.] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FAutomaticity_and_goal_pursuit&diff=2844240&oldid=2840419 Removed the assessment instruction for a more polished look.] # [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FAdolescent_risk-taking_and_reward-system_development&diff=2844281&oldid=2841492 Reordered references] # [[Talk:Motivation and emotion/Book/2026/ERG theory and motivation#Potential Improvement|Commented to remove instructions and insert additional links.]] # [[Talk:Motivation and emotion/Book/2026/Machiavellian motivation#Improvements|Suggested to set one theme for quizzes and another for scenarios.]] # [[Talk:Motivation and emotion/Book/2026/Scarcity versus abundance mindset#Edits|Commented to add templates for scenarios and more figures for contrast.]] jt4phd59y9ukph8rnfd4cjfix3ep0qq 0 331450 2844189 2844149 2026-11-03T12:06:23Z Diaz Chas 3109441 /* Enjoyment, motivation, and engagement */ Added more references and reorganised the quiz. ChatGPT, 3 Nov 2026 - used for brainstorming ideas on what to discuss in each section, double checked to make sure the structure runs smoothly, and to polish. 2844189 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === Learning is incorporated into everyday life and is a part of the brain's conscious and subconscious processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. Enjoyment in learning refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence knowledge retention as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their motivation and willingness to lean may increase. This is where understanding the psychology behind it can help explain how emotions, such as enjoyment and boredom, affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to learn (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{Robelbox|theme=5|title=Focus questions}} * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? {{Robelbox/close}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new concept or topic (Mansfield, 2025). Some examples of positive feelings can be excitement in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that interest and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of satisfaction, which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of cognitive equilibrium, when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive emotion as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, curiosity, and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a neurotransmitter known as dopamine, as it plays an important role in the brains rewards and motivation sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and fun are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with entertainment such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of satisfaction. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=75%|iconwidth=55px}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as confidence, and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the usefulness of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how personal characteristics and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay attention, and retain the information. According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their willingness to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information. According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher retention rate, and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === Enjoyment can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more attention may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their willingness to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === Learning can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a concept they previously struggled with, they may also experience a sense of achievement and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their confidence, as they may feel more capable in their ability to handle challenging materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=75%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == Include an introductory paragraph before branching into sub-sections === Cognitive processes === * How enjoyment can affect [[wikipedia:Attention|attention]] and focus while learning - (Liu et al., 2025) * How enjoyment can affect memory and remembering information - (Tyng et al., 2017) * How enjoyment can affect the way students process or understand information. * Find research about '''enjoyment and cognitive processes during learning'''. === Academic achievement === * Whether enjoyment is related to better grades or academic performance - (Kang & Wu, 2022). * Whether students who enjoy learning are more likely to do well academically. * Whether enjoyment can lead to better results, or if doing well can also make learning more enjoyable. * Find research about the relationship between '''enjoyment and academic achievement.''' --- Add a quiz or a learning figure == Conclusion == * Enjoyment may play an important role in how students experience and approach learning. * Enjoyment may influence different parts of learning such as motivation, engagement, coginitve processes, and academic achievement. * Different factors may affect how much students enjoy learning such as their confidence, interest, and learning environment. * Overall, understanding enjoyment could help how positive emotions can support learning. {{Robelbox|theme=10|title=Take home message}} <div style="{{Robelbox/pad}}"> Finding ways to make learning more enjoyable could help students stay motivated and engaged with what they are learning. </div>  {{Robelbox/close}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Liu, H., Jiang, Y., Nie, H., & Zhou, X. (2025). Unveiling the effects of enjoyment and hope on students’ English learning effort. Scientific Reports, 15(1). https://doi.org/10.1038/s41598-025-11904-z Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] qb12n6wrn6zf0pdoltimjgdicazviz7 2844193 2844189 2026-11-03T12:14:10Z Diaz Chas 3109441 /* Enjoyment and Student Engagement */ added a picture 2844193 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === Learning is incorporated into everyday life and is a part of the brain's conscious and subconscious processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. Enjoyment in learning refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence knowledge retention as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their motivation and willingness to lean may increase. This is where understanding the psychology behind it can help explain how emotions, such as enjoyment and boredom, affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to learn (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{Robelbox|theme=5|title=Focus questions}} * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? {{Robelbox/close}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new concept or topic (Mansfield, 2025). Some examples of positive feelings can be excitement in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that interest and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of satisfaction, which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of cognitive equilibrium, when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive emotion as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, curiosity, and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a neurotransmitter known as dopamine, as it plays an important role in the brains rewards and motivation sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and fun are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with entertainment such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of satisfaction. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=75%|iconwidth=55px}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as confidence, and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the usefulness of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how personal characteristics and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay attention, and retain the information. According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their willingness to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information. According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher retention rate, and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] Enjoyment can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more attention may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their willingness to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === Learning can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a concept they previously struggled with, they may also experience a sense of achievement and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their confidence, as they may feel more capable in their ability to handle challenging materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=75%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == Include an introductory paragraph before branching into sub-sections === Cognitive processes === * How enjoyment can affect [[wikipedia:Attention|attention]] and focus while learning - (Liu et al., 2025) * How enjoyment can affect memory and remembering information - (Tyng et al., 2017) * How enjoyment can affect the way students process or understand information. * Find research about '''enjoyment and cognitive processes during learning'''. === Academic achievement === * Whether enjoyment is related to better grades or academic performance - (Kang & Wu, 2022). * Whether students who enjoy learning are more likely to do well academically. * Whether enjoyment can lead to better results, or if doing well can also make learning more enjoyable. * Find research about the relationship between '''enjoyment and academic achievement.''' --- Add a quiz or a learning figure == Conclusion == * Enjoyment may play an important role in how students experience and approach learning. * Enjoyment may influence different parts of learning such as motivation, engagement, coginitve processes, and academic achievement. * Different factors may affect how much students enjoy learning such as their confidence, interest, and learning environment. * Overall, understanding enjoyment could help how positive emotions can support learning. {{Robelbox|theme=10|title=Take home message}} <div style="{{Robelbox/pad}}"> Finding ways to make learning more enjoyable could help students stay motivated and engaged with what they are learning. </div>  {{Robelbox/close}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Liu, H., Jiang, Y., Nie, H., & Zhou, X. (2025). Unveiling the effects of enjoyment and hope on students’ English learning effort. Scientific Reports, 15(1). https://doi.org/10.1038/s41598-025-11904-z Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] pry7yky0mn9d6jvw83vfy7gyfyoshbf 2844214 2844193 2026-11-03T14:33:22Z Diaz Chas 3109441 /* Enjoyment and learning outcomes */ add more references and a quiz. ChatGPT, 4 Nov 3036 - used to brainstorm ideas for what to discuss, help structure the paragraph so information runs smoother, and polish 2844214 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === Learning is incorporated into everyday life and is a part of the brain's conscious and subconscious processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. Enjoyment in learning refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence knowledge retention as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their motivation and willingness to lean may increase. This is where understanding the psychology behind it can help explain how emotions, such as enjoyment and boredom, affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to learn (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{Robelbox|theme=5|title=Focus questions}} * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? {{Robelbox/close}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new concept or topic (Mansfield, 2025). Some examples of positive feelings can be excitement in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that interest and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of satisfaction, which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of cognitive equilibrium, when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive emotion as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, curiosity, and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a neurotransmitter known as dopamine, as it plays an important role in the brains rewards and motivation sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and fun are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with entertainment such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of satisfaction. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=75%|iconwidth=55px}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as confidence, and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the usefulness of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how personal characteristics and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay attention, and retain the information. According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their willingness to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information. According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher retention rate, and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] Enjoyment can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more attention may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their willingness to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === Learning can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a concept they previously struggled with, they may also experience a sense of achievement and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their confidence, as they may feel more capable in their ability to handle challenging materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=75%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == Enjoyment has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to academic achievement which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' cognitive engagement during learning can be influence by the level of enjoyment experienced (Rotgans & Schmidt, 2011). This may increase their focus and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more attention towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of engagement (Wang & Degol, 2014). Attention plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing interest. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it passively. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div>{{Robelbox/close}} === Academic achievement === * Whether enjoyment is related to better grades or academic performance - (Kang & Wu, 2022). * Whether students who enjoy learning are more likely to do well academically. * Whether enjoyment can lead to better results, or if doing well can also make learning more enjoyable. * Find research about the relationship between '''enjoyment and academic achievement.''' --- Add a quiz or a learning figure == Conclusion == * Enjoyment may play an important role in how students experience and approach learning. * Enjoyment may influence different parts of learning such as motivation, engagement, coginitve processes, and academic achievement. * Different factors may affect how much students enjoy learning such as their confidence, interest, and learning environment. * Overall, understanding enjoyment could help how positive emotions can support learning. {{Robelbox|theme=10|title=Take home message}} <div style="{{Robelbox/pad}}"> Finding ways to make learning more enjoyable could help students stay motivated and engaged with what they are learning. </div>  {{Robelbox/close}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] f7jj6ihyl8w851jhulct0or2hfu51m3 2844216 2844214 2026-11-03T14:34:30Z Diaz Chas 3109441 /* Attention and information processing */ formatting issue 2844216 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === Learning is incorporated into everyday life and is a part of the brain's conscious and subconscious processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. Enjoyment in learning refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence knowledge retention as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their motivation and willingness to lean may increase. This is where understanding the psychology behind it can help explain how emotions, such as enjoyment and boredom, affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to learn (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{Robelbox|theme=5|title=Focus questions}} * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? {{Robelbox/close}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new concept or topic (Mansfield, 2025). Some examples of positive feelings can be excitement in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that interest and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of satisfaction, which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of cognitive equilibrium, when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive emotion as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, curiosity, and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a neurotransmitter known as dopamine, as it plays an important role in the brains rewards and motivation sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and fun are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with entertainment such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of satisfaction. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=75%|iconwidth=55px}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as confidence, and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the usefulness of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how personal characteristics and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay attention, and retain the information. According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their willingness to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information. According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher retention rate, and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] Enjoyment can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more attention may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their willingness to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === Learning can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a concept they previously struggled with, they may also experience a sense of achievement and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their confidence, as they may feel more capable in their ability to handle challenging materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=75%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == Enjoyment has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to academic achievement which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' cognitive engagement during learning can be influence by the level of enjoyment experienced (Rotgans & Schmidt, 2011). This may increase their focus and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more attention towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of engagement (Wang & Degol, 2014). Attention plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing interest. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it passively. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. <div> <quiz> <div> {{Robelbox/close}} === Academic achievement === * Whether enjoyment is related to better grades or academic performance - (Kang & Wu, 2022). * Whether students who enjoy learning are more likely to do well academically. * Whether enjoyment can lead to better results, or if doing well can also make learning more enjoyable. * Find research about the relationship between '''enjoyment and academic achievement.''' --- Add a quiz or a learning figure == Conclusion == * Enjoyment may play an important role in how students experience and approach learning. * Enjoyment may influence different parts of learning such as motivation, engagement, coginitve processes, and academic achievement. * Different factors may affect how much students enjoy learning such as their confidence, interest, and learning environment. * Overall, understanding enjoyment could help how positive emotions can support learning. {{Robelbox|theme=10|title=Take home message}} <div style="{{Robelbox/pad}}"> Finding ways to make learning more enjoyable could help students stay motivated and engaged with what they are learning. </div>  {{Robelbox/close}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] bv3n4rn4dtiyw91o5y4rqhd06zhp9t0 2844217 2844216 2026-11-03T14:35:06Z Diaz Chas 3109441 /* Attention and information processing */ formatting issue 2844217 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === Learning is incorporated into everyday life and is a part of the brain's conscious and subconscious processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. Enjoyment in learning refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence knowledge retention as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their motivation and willingness to lean may increase. This is where understanding the psychology behind it can help explain how emotions, such as enjoyment and boredom, affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to learn (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{Robelbox|theme=5|title=Focus questions}} * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? {{Robelbox/close}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new concept or topic (Mansfield, 2025). Some examples of positive feelings can be excitement in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that interest and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of satisfaction, which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of cognitive equilibrium, when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive emotion as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, curiosity, and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a neurotransmitter known as dopamine, as it plays an important role in the brains rewards and motivation sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and fun are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with entertainment such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of satisfaction. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=75%|iconwidth=55px}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as confidence, and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the usefulness of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how personal characteristics and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay attention, and retain the information. According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their willingness to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information. According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher retention rate, and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] Enjoyment can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more attention may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their willingness to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === Learning can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a concept they previously struggled with, they may also experience a sense of achievement and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their confidence, as they may feel more capable in their ability to handle challenging materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=75%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == Enjoyment has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to academic achievement which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' cognitive engagement during learning can be influence by the level of enjoyment experienced (Rotgans & Schmidt, 2011). This may increase their focus and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more attention towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of engagement (Wang & Degol, 2014). Attention plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing interest. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it passively. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=75%|theme=4|iconwidth=55px|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === * Whether enjoyment is related to better grades or academic performance - (Kang & Wu, 2022). * Whether students who enjoy learning are more likely to do well academically. * Whether enjoyment can lead to better results, or if doing well can also make learning more enjoyable. * Find research about the relationship between '''enjoyment and academic achievement.''' --- Add a quiz or a learning figure == Conclusion == * Enjoyment may play an important role in how students experience and approach learning. * Enjoyment may influence different parts of learning such as motivation, engagement, coginitve processes, and academic achievement. * Different factors may affect how much students enjoy learning such as their confidence, interest, and learning environment. * Overall, understanding enjoyment could help how positive emotions can support learning. {{Robelbox|theme=10|title=Take home message}} <div style="{{Robelbox/pad}}"> Finding ways to make learning more enjoyable could help students stay motivated and engaged with what they are learning. </div>  {{Robelbox/close}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] 2ydupll10tt12jkdbbs2trnud3w8c4w 2844222 2844217 2026-11-03T15:22:02Z Diaz Chas 3109441 /* Academic achievement */ Added more references, made a quiz, edited the focus questions format. ChatGPT, 4 Nov 2026 - used to structure the paragraph, brainstorm ideas, and polish the draft for readability. 2844222 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === Learning is incorporated into everyday life and is a part of the brain's conscious and subconscious processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. Enjoyment in learning refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence knowledge retention as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their motivation and willingness to lean may increase. This is where understanding the psychology behind it can help explain how emotions, such as enjoyment and boredom, affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to learn (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new concept or topic (Mansfield, 2025). Some examples of positive feelings can be excitement in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that interest and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of satisfaction, which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of cognitive equilibrium, when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive emotion as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, curiosity, and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a neurotransmitter known as dopamine, as it plays an important role in the brains rewards and motivation sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and fun are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with entertainment such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of satisfaction. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as confidence, and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the usefulness of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how personal characteristics and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay attention, and retain the information. According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their willingness to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information. According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher retention rate, and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] Enjoyment can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more attention may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their willingness to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === Learning can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a concept they previously struggled with, they may also experience a sense of achievement and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their confidence, as they may feel more capable in their ability to handle challenging materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == Enjoyment has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to academic achievement which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' cognitive engagement during learning can be influence by the level of enjoyment experienced (Rotgans & Schmidt, 2011). This may increase their focus and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more attention towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of engagement (Wang & Degol, 2014). Attention plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing interest. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it passively. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === Enjoyment in learning can pay an important role in students' academic achievements as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay focused, retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel confident in their abilities and become more keen to learning. This is due to the feeling of success may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == * Enjoyment may play an important role in how students experience and approach learning. * Enjoyment may influence different parts of learning such as motivation, engagement, coginitve processes, and academic achievement. * Different factors may affect how much students enjoy learning such as their confidence, interest, and learning environment. * Overall, understanding enjoyment could help how positive emotions can support learning. {{Robelbox|theme=10|title=Take home message}} <div style="{{Robelbox/pad}}"> Finding ways to make learning more enjoyable could help students stay motivated and engaged with what they are learning. </div>  {{Robelbox/close}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] fjqhuqlazseslpvn55yrb1dcn8wrhgq 2844237 2844222 2026-11-03T16:29:18Z Diaz Chas 3109441 /* Conclusion */ added internal and external links and finished the conclusion. 2844237 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] ab3hcbqrnaih2icej2y6pn094r2oiy8 2844250 2844237 2026-11-03T16:56:05Z Diaz Chas 3109441 /* See also */ added internal links 2844250 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] 1c2tg4pvy4gvpe5rxwfqjtugi0k8lse 2844267 2844250 2026-11-03T17:12:25Z Diaz Chas 3109441 /* External links */ added external links 2844267 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] knldkew0k3dhu07caxixqq75lvycq1d 2844268 2844267 2026-11-03T17:13:07Z Diaz Chas 3109441 /* What is enjoyment in learning? */ 2844268 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] c3fqjfbx19bilq2ut6kjl010cmi65kv 2844269 2844268 2026-11-03T17:13:35Z Diaz Chas 3109441 /* Enjoyment as an Emotion */ spacing 2844269 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] 5z9ilqcvex3tmfluez72vdvh80txjef 2844270 2844269 2026-11-03T17:13:50Z Diaz Chas 3109441 /* Enjoyment vs Fun */ spacing 2844270 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] mh4jkhi1fjz39ao3y96xwcgr6zyahsd 2844271 2844270 2026-11-03T17:14:09Z Diaz Chas 3109441 /* Research on Enjoyment in Learning */ spacing 2844271 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] lz8cusbf0bkjfeh36t5732557nl9oa4 2844272 2844271 2026-11-03T17:14:33Z Diaz Chas 3109441 /* Enjoyment and Overcoming Learning Challenges */ spacing 2844272 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] esuxj5folepcksqj69dzblz6okgiqwm 2844273 2844272 2026-11-03T17:15:58Z Diaz Chas 3109441 /* Enjoyment and Overcoming Learning Challenges */ spacing 2844273 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] dennmcz6tv3knpq9dn5pwryim816dg3 2844274 2844273 2026-11-03T17:16:56Z Diaz Chas 3109441 /* Enjoyment and Overcoming Learning Challenges */ spacing 2844274 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|left|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] o6tau7siilo13c3w62nu6mwsy10x0rl 2844275 2844274 2026-11-03T17:19:02Z Diaz Chas 3109441 /* Enjoyment and Overcoming Learning Challenges */ fixed spacing and moved a figure 2844275 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.|300x300px]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] a3l35s2fkjxcs32z8lryw8e9n37bnzn 2844276 2844275 2026-11-03T17:19:27Z Diaz Chas 3109441 /* Attention and information processing */ spacing 2844276 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.|300x300px]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] sz2rzm128xh5uwyji4ckvmqzhuulf3q 2844277 2844276 2026-11-03T17:19:43Z Diaz Chas 3109441 /* Academic achievement */ spacing 2844277 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? <div> {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}}<div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? <div>{{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? <div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.|300x300px]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! <div>{{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] 6sjpkv920npdxe87qffwyv6jb92ouvn 2844278 2844277 2026-11-03T17:21:02Z ShakespeareFan00 6645 2844278 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}} <div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? </div> {{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? </div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.|300x300px]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! </div> {{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] 25zsxi3c4re6exkxeubo4e8384c873a 2844279 2844278 2026-11-03T17:22:12Z ShakespeareFan00 6645 2844279 wikitext text/x-wiki {{title|Enjoyment and learning:<br>How does enjoyment influence learning?}} ==Overview== === What is enjoyment in learning? === [[w:Learning|Learning]] is incorporated into everyday life and is a part of the brain's [[w:Consciousness|conscious]] and [[w:Subconscious|subconscious]] processes (Kuldas et al., 2013). It plays an important role in allowing individuals to develop new skills, understanding, and knowledge. For example, an individual may consciously focus on reading a book about road rules, while also absorbing and interpreting the information they read. [https://pmc.ncbi.nlm.nih.gov/articles/PMC11384189/ Enjoyment in learning] refers to the positive feelings an individual experiences when gaining new information or participating in learning activities (Song, 2024). It may also influence [https://www.sciencedirect.com/topics/computer-science/knowledge-retention knowledge retention] as individuals who enjoys a topic may be more likely to pay attention and process the information they are learning which increases their ability to remember it. Let's consider the following scenario. {{Robelbox|theme=10|title=Scenario|iconwidth=55px}}<div style="{{Robelbox/pad}}"> [[File:Students studying 005.jpg|thumb|210x210px|'''Figure 1'''. Students studying in a learning environment.]] Two students have an upcoming chemistry exam. Sarah enjoys chemistry and finds the content interesting and fun, while Lily finds the subject boring and has difficulty focusing. Although they spend the same amount of time studying and prepping for the exam, Sarah may be more motivated to engage and learn more about the material. Could Sarah's enjoyment of learning ultimately contribute to a higher exam mark than Lily's? </div>  {{Robelbox/close}} === Understanding Enjoyment and Learning === Enjoyment plays an important role in learning, as the positive experience individuals have while learning may influence how they interact with it (Lucardie, 2014). For example, when individuals enjoy what they are learning, their [[w:Motivation|motivation]] and willingness to learn may increase. This is where understanding the [[psychology]] behind it can help explain how emotions, such as enjoyment and [[w:Boredom|boredom]], affect the way people learn. Psychological theories and research can also help explain how enjoyment may influence a person's motivation and willingness to [[w:Learning|learn]] (Bandhu et al., 2024). By understanding these relationships, we can gain a better understanding of whether enjoyment in learning makes it easier to focus, stay motivated, increase retention, and achieve better academic results. {{RoundBoxTop|theme=5}}Focus Questions: * What is enjoyment in the context of learning? * What factors contribute to enjoyment during learning? * How does enjoyment influence motivation and engagement? * How does enjoyment influence learning and academic outcomes? {{RoundBoxBottom}} == Enjoyment in learning == === Meaning of Enjoyment === Enjoyment in learning involves an individual experiences a positive feeling while participating or engaging in learning a new [[w:Concept|concept]] or topic (Mansfield, 2025). Some examples of positive feelings can be [[mwod:excitement|excitement]] in learning a new topic or feeling satisfied after gaining a better understanding on a concept an individual was interested in. Enjoyment can also occur when an individual gets informed about a topic that interests them prior to it getting discussed, which is also know as the anticipatory model (Studzinski Perotto, 2012). For example, when a teacher tells the students the topic that will be covered in the following class, and a student was interested in it or had prior knowledge they wanted to enhance, it can lead excitement for the future class. According to Wong et al. (2020), individuals may experience enjoyment when they gain a more in depth understanding about a subject they were interested in or may had prior knowledge on. This shows that [[w:Interest_(emotion)|interest]] and excitement can enhance the knowledge retained from learning. Understanding a topic that was deemed complex or difficult previously can create a sense of [[satisfaction]], which is another sense of enjoyment. For example, an individual found a concept in biology difficult, and the following session the teacher explains it in a more simpler matter which made it easier to understand, which then leads to a sense of enjoyment and satisfaction. According to Piaget's theory of [https://www.simplypsychology.org/piaget.html cognitive equilibrium], when an individual finally understands a concept they struggled with, they may experience a sense of satisfaction as the new understanding helped restore cognitive balance and addressed the confusion (Bormanaki & Khoshhal, 2017). However, personal enjoyment also plays an important role as people have different interests and experiences which can determine the level of enjoyment an individual may experience. === Enjoyment as an Emotion === Enjoyment is considered a positive [[emotion]] as it involves a pleasant feeling during a learning experience (Pekrun et al., 2011). Some examples are feelings of happiness, [[w:Curiosity|curiosity]], and satisfaction that an individual may experience while learning. Enjoying a topic may also increase a person's interest and curiosity and encourage them to delve deeper. This may involve a [[w:Neurotransmitter|neurotransmitter]] known as dopamine, as it plays an important role in the brains rewards and [[motivation]] sector that may encourage individuals to learn more and seek out rewarding experiences (Bromberg-Martin et al., 2010). Experiencing these positive feelings may also lead to individuals paying more attention and focusing on the learning materials. This also considers the concept of motivation, as individuals may be encouraged to continue learning due to the rewarding experience. For example, when a person enjoys what they are learning, they may be more willing to actively participate in activities, and learn more in the process. Enjoyment in learning can also encourage individuals to keep learning even if the content is difficult. However negative feelings such as frustration and boredom can also affect the way a person approach learning. Let's look at the scenario below. {{Robelbox|theme=10|iconwidth=55px|title=Scenario}} <div style="{{Robelbox/pad}}"> [[File:Professor and students in a university classroom in Tennessee.jpg|left|thumb|Figure 2. Teacher and students in a classroom during a lesson.]] Jared and Jordan are in the same Biology class. Jared loves butterflies and has always enjoyed learning about the life cycle, while Jordan only took the class to satisfy the science prerequisite, and he found science a bit difficult but he loves drawing. The teacher announces that the next session they will be discussing the life cycle of the butterfly. This made Jared super excited that he went home and started reading the textbook ahead of time. Jared on the other hand didn't pay much interest to what the teacher said and just headed home. the following day, when the teacher was discussing about the topic, Jared was so excited that he asked so many questions and actively participated in class. However, Jordan felt lost and frustrated because he didn't understand what the teacher was trying to explain so instead of paying attention, he started drawing in his notebook to pass time. Could Jordan's frustration and disinterest affect his knowledge retention about the life cycle in compared to Jared? </div> {{-}} {{Robelbox/close}} === Enjoyment vs Fun === Although Enjoyment and [[w:Fun|fun]] are closely related, they have different meanings and associations in the context of learning. Fun is usually associated with [[w:Entertainment|entertainment]] such as games or shopping that make people happy (Reis et al., 2016). Enjoyment in learning involve satisfying curiosity or gaining a new knowledge that releases a sense of [[satisfaction]]. For example, a student is enjoying a difficult maths problem because they feel satisfied after finally understanding how it is solved. This shows that learning does not always have to be entertaining to be enjoyable, as people can still enjoy activities that require effort and concentration. {{Robelbox|title=Test your knowledge!|theme=4|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What role does dopamine play when a person experiences enjoyment while learning? |type="()"} + It helps regulate motivation and the brain's reward system. - It prevents people from feeling frustrated. - It stops people from becoming distracted. - It controls how much information a person can remember. </div> </quiz> </div> {{Robelbox/close}} == Factors that influence enjoyment in learning == Enjoyment in learning can be influenced by several different factors. Factors such as [[w:Confidence|confidence]], and interest are personal characteristics that may affect how much a person enjoys learning (Sabaratnam, 2025). Other factors such as the [[mwod:usefulness|usefulness]] of the knowledge, the atmosphere, and the teaching methods can also influence enjoyment (Moghadasi & Keikavoosi-Arani, 2023). These factors can influence a person's motivation, participation and their overall learning experience. The table below outlines some key factors that may influence enjoyment in learning and some examples on how they can affect an individual. {| class="wikitable" style="table-layout: fixed; width: 100%; word-wrap: break-word;" ! style="width: 15%;" | Factors ! style="width: 50%;" | Explanation ! style="width: 35%;" | Example |- |Confidence and ability | How enjoyment and confidence be influenced by the feeling of capability when completing a learning task. | A student feels satisfied after successfully completing an assignment. |- | Personal interest | How a person's interest in a topic increase curiosity and encourage them to learn more. | A student enjoys playing the flute as they are interested in joining the concert band. |- |Perceived usefulness |How realising the usefulness of knowledge make can make learning more meaningful. |A player enjoys learning about the different attacks in volleyball as they can apply that knowledge during the game. |- |Teaching methods |How the different methods such as activities and approches can encourage students willingness to participate. |A student enjoys the chemistry experiment after learning the ways chemicals can mix together. |- |Learning environment |How the atmosphere of the room, teachers support, and student interactions can increase enjoyment. |A student feels comfortable sharing ideas as the teacher encourages participation. |} === Research on Enjoyment in Learning === Research shows how [https://www.jcu.edu.au/employability-edge/you-and-your-career/personality-and-personal-attributes personal characteristics] and environmental factors influence student's enjoyment and their learning experiences. When a person has an interest in a subject or topic, they are more likely to learn more, pay [[w:Attention|attention]], and retain the information.  According to Harackiewicz et al. (2016), students who have an interest in a subject can increase their concentration, and their [[w:Volition|willingness]] to learn more. This shows that personal interest in a topic can lead to stronger understanding, higher participation, and more positive learning experiences. Enjoyment can also be influenced by the environment the person is in which can result in more retained information.  According to Hernik and Jaworska (2018), students who attended a class that had a more enjoyable atmosphere illustrated a better recall and happiness. Additionally, research also shows that different teaching approaches and social activities can result in higher participation rates among students (Bonney, 2015). This shows that the classroom conditions, teaching approaches and social aspects can greatly contribute to a higher [[w:Retention_rate|retention rate]], and a more enjoyable learning experience. Let's look at another scenario. {{Robelbox|title=Scenario|iconwidth=55px|theme=5}}<div style="{{Robelbox/pad}}"> [[File:Hands raised (7645867).jpg|thumb|226x226px|Figure 3. Students in the classroom raised their hands while the teacher picked a student.]] Linda is learning about the chemical compounds in a science laboratory, and she loves it. Their teacher breaks down each concept into small, manageable chunks and encourages students to participate. Poppy is learning maths in a computer lab, but she is not particularly interested in maths. The teacher explains the steps it takes to solve a problem and quickly instructs the students to answer math problems using the computers. However, Poppy got bored and ended up playing games for the remainder of the session. Which student do you think had a higher recall of the topic in the next lesson? </div> {{Robelbox/close}} {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. Which of the following is an example of how a learning environment can affect a student's retention? |type="()"} + A student retains information more easily because the classroom was quiet. - QA student enjoys learning because they are interested in the subject. - A student feels confident because they understand he topic. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment, motivation, and engagement == === Enjoyment and Student Engagement === [[File:Tutoring Math.jpg|thumb|Figure 4. A student solving a maths problem and getting help from a teacher.|300x300px]] [[w:Joy|Enjoyment]] can encourage students to participate more in activities as they may feel more interested and keen in learning and honing their knowledge (Harackiewicz et al., 2016). By participating in activities and discussions, students can gain a better understanding and learn from different perspectives. Enjoyment may also influence a students ability to concentrate as finding an interesting topic may encourage them to pay closer attention to the information being discussed (Lucardie, 2014). Paying more [[w:Attention|attention]] may help students process the information more effectively, which can make it easier to understand and retain the information they learnt. Their curiosity may also increase when they find learning about a topic enjoyable, which allows them to further develop their understanding (Kidd & Hayden, 2015). As students become more engaged and actively participate in their learning, they may develop a greater interest in understanding the topic and increase their [https://dictionary.cambridge.org/dictionary/english/willingness willingness] to continue to participate in class. === Enjoyment and Overcoming Learning Challenges === [[Learning]] can involve difficult topics and confusing materials but a student who enjoys the subject may be more willing to understand and delve deeper on it (Mansfield, 2025). They may view it as an opportunity to grow and gain a deeper understanding of the topic instead of viewing it as something that needs to be avoided. When they finally understand a [[concept]] they previously struggled with, they may also experience a sense of [https://dictionary.cambridge.org/dictionary/english/achievement achievement] and satisfaction, which can encourage them to keep learning (Wang & Degol, 2014). Experiencing this sense of achievement may also increase their [https://dictionary.cambridge.org/dictionary/english/confidence confidence], as they may feel more capable in their ability to handle [https://dictionary.cambridge.org/dictionary/english/challenging challenging] materials. Students who enjoy learning in general may also be more open to trying different ways to solve the problem which allows them to hone their understanding and overcome difficulties (de Bruin, 2023). For example, they may ask for clarification, seek additional guidance form the teacher or practice different methods until they find a way that works for them. {{Robelbox|theme=4|title=Test your knowledge!|width=50%}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How might enjoyment influence a student's engagement in learning? |type="()"} + It may encourage them to become more involved in learning activities. - It always guarantees higher marks. - It removes the need to put effort into learning. - It prevents students from finding tasks difficult. </div> </quiz> </div> {{Robelbox/close}} == Enjoyment and learning outcomes == [[w:Joy|Enjoyment]] has a deeper role in learning than simply making the experiences more positive (Mansfield, 2025). It may also affect how students process, retain, and engage with information (Li & Xue, 2023). These may also spread to [[w:Academic_achievement|academic achievement]] which highlights the importance of how enjoyment connects to both the cognitive processes involved in learning and students' academic performance. === Cognitive processes === ==== Cognitive engagement and learning effort ==== Students' [https://www.sciencedirect.com/topics/computer-science/cognitive-engagement cognitive engagement] during learning can be influence by the level of [https://dictionary.cambridge.org/dictionary/english/enjoyment enjoyment] experienced (Rotgans & Schmidt, 2011). This may increase their [https://dictionary.cambridge.org/dictionary/english/focus focus] and attention which can make students more willing to engage with the learning materials. For example, a student who enjoys learning a particular subject may be more willing to actively participate during activities, discussions, and explore unfamiliar concepts to gain a better understanding. This shows that students who enjoy learning may be more eager to spend time and effort in understanding the concepts, completing activities, and persevering through challenges. This increased engagement may also encourage students to direct or concentrate more [https://dictionary.cambridge.org/dictionary/english/attention attention] towards the learning material (Harackiewicz et al., 2016). ==== Attention and information processing ==== Students ability to maintain or direct their attention towards learning can be influenced by their level of [https://dictionary.cambridge.org/dictionary/english/engage-in?q=engage+in+something engagement] (Wang & Degol, 2014). [[w:Attention|Attention]] plays an important role in learning as students require concentration and focus to process the information effectively (Commodari et al., 2025). This can make learning activities more interesting and fun, and encourage students to maintain their focus, which can decrease the chance of loosing [https://dictionary.cambridge.org/dictionary/english/interest interest]. According to Tyng et al. (2017), suggests that emotion influence how individuals direct their attention and process information, which can affect how they learn and how much they can retain. This shows that attention allow students to interact with the information more actively rather than just receiving it [https://dictionary.cambridge.org/dictionary/english/passively passively]. Therefore, enjoyment can support learning by influencing the student's attention and their ability to process the information. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. What can enjoyment push students to do? |type="()"} + Put more effort into learning. - Avoid challenging activities. - Memorise information without studying. </div> </quiz> </div> {{Robelbox/close}} === Academic achievement === [[w:Joy|Enjoyment]] in learning can pay an important role in  students' [[w:Academic_achievement|academic achievements]] as students who enjoy it are often more motivated to participate and finish their work (Zeng et al., 2023). For example, Kang and Wu (2022) found that students who experienced more enjoyment when learning English tend to achieve better academic results than students who did not. This shows that students who enjoy learning may be more likely to stay [https://dictionary.cambridge.org/dictionary/english/focus focused], retain more information, and actively participate in class. However, the relationship between enjoyment and academic achievement may also work in the opposite direction (Zeng et al., 2023). For example, when students achieve good grades they may be more likely to feel [https://dictionary.cambridge.org/dictionary/english/confident confident] in their abilities and become more keen to learning. This is due to the feeling of [[w:Success|success]] may encourage students to deepen their knowledge, and may feel proud of themselves. Overall, enjoyment and academic achievement may have a positive relationship as enjoying learning can support better performance, while academic success can also increase the feelings of enjoyment. {{Robelbox|width=50%|theme=4|title=Test your knowledge!}}<div style="{{Robelbox/pad}}"> <quiz display="simple"> 1. How can enjoying learning help students academically? |type="()"} + It can increase motivation and engagement. - It guarantees perfect grades. - It reduces the need to study. </div> </quiz> </div> {{Robelbox/close}} == Conclusion == In conclusion, [[w:Joy|enjoyment]] plays an important role in how students experience and approach [[learning]]. It can influence different aspects such as their [[motivation]], engagement, thinking processes, and [https://dictionary.cambridge.org/dictionary/english/academic-performance academic performance]. However, the level of enjoyment students experiences can depend on factors such as their confidence, personal interests, and learning environment. Understanding these factors can support teachers create a more positive learning experience for students. Overall, encouraging [https://positivepsychology.com/positive-emotions-list-examples-definition-psychology/ positive emotions] towards learning can help support students' overall learning experience and their academic development. {{RoundBoxTop|theme=14}}When students enjoy learning, they are more likely to develop positive attitudes towards education and become more actively involved in their learning! {{RoundBoxBottom}} == See also == * [[wikipedia:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2021/Student engagement and learning|Student engagement and learning]] (Book chapter, 2021) * [[Motivation and emotion/Book/2017/Emotion and learning|Emotion and learning]] (Book chapter, 2017) * [[Motivation and emotion/Book/2022/Academic self-regulation|Academic self-regulation]] (Book chapter, 2022) * [[w:Student_engagement|Student engagement]] (Wikipedia) * [[w:Academic_achievement|Academic Achievement]] (Wikipedia) * [[w:Psychology_of_learning|Psychology of learning]] (Wikipedia) * [[Motivation and emotion/Book/2010/Student motivation theories|Student motivation theories]] (Book chapter, 2010) * [[Motivation and emotion/Book/2020/Academic locus of control|Academic locus of control]] (Book chapter, 2020) * [[Motivation and emotion/Book/2021/Academic resilience|Academic resilience]] (Book chapter, 2021) == References == {{Hanging indent|1= Bandhu, D., Mohan, M. M., Nittala, N. A. P., Jadhav, P., Bhadauria, A., & Saxena, K. K. (2024). Theories of motivation: A comprehensive analysis of human behavior drivers. Acta Psychologica, 244(1), 1–16. https://doi.org/https://doi.org/10.1016/j.actpsy.2024.104177 Bonney, K. M. (2015). Case study teaching method improves student performance and perceptions of learning gains. Journal of Microbiology & Biology Education, 16(1), 21–28. https://doi.org/10.1128/jmbe.v16i1.846 Bormanaki, H. B., & Khoshhal, Y. (2017). The role of equilibration in Piaget’s theory of cognitive development and its implication for receptive skills: A theoretical study. Journal of Language Teaching and Research, 8(5), 996–1005. https://doi.org/10.17507/jltr.0805.22 Bromberg-Martin, E. S., Matsumoto, M., & Hikosaka, O. (2010). Dopamine in motivational control: Rewarding, aversive, and alerting. Neuron, 68(5), 815–834. https://doi.org/10.1016/j.neuron.2010.11.022 Commodari, E., La Rosa, V. L., & Foti, F. (2025). Attention skills, learning and academic abilities in children and adolescents with genetic disorders: A systematic review. Frontiers in Psychology, 16. https://doi.org/10.3389/fpsyg.2025.1677418 de Bruin, A. B. H. (2023). Dealing with desirable difficulties: Supporting students to accept, reduce, or silence effort. Medical Science Educator. https://doi.org/10.1007/s40670-023-01911-y Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227. https://doi.org/10.1177/2372732216655542 Hernik, J., & Jaworska, E. (2018). The effect of enjoyment on learning. INTED2018 Proceedings. https://doi.org/10.21125/inted.2018.1087 Kang, X., & Wu, Y. (2022). Academic enjoyment, behavioral engagement, self-concept, organizational strategy and achievement in EFL setting: A multiple mediation analysis. PLOS ONE, 17(4), e0267405. https://doi.org/10.1371/journal.pone.0267405 Kidd, C., & Hayden, B. Y. (2015). The psychology and neuroscience of curiosity. Neuron, 88(3), 449–460. https://doi.org/10.1016/j.neuron.2015.09.010 Kuldas, S., Ismail, H. N., Hashim, S., & Bakar, Z. A. (2013). Unconscious learning processes: Mental integration of verbal and pictorial instructional materials. SpringerPlus, 2(1). https://doi.org/10.1186/2193-1801-2-105 Li, J., & Xue, E. (2023). Dynamic interaction between student learning behaviour and learning environment: Meta-analysis of student engagement and its influencing factors. Behavioral Sciences, 13(1), 59. https://doi.org/10.3390/bs13010059 Lucardie, D. (2014). The impact of fun and enjoyment on adult’s learning. The Fourth International Conference on Adult Education, Romania 2014, 142, 439–446. https://doi.org/10.1016/j.sbspro.2014.07.696 Mansfield, C. (2025). ‘We have learning objectives, not enjoyment objectives’: The role of enjoyment in life sciences teaching and learning. Journal of Learning Development in Higher Education, (35). https://doi.org/10.47408/jldhe.vi35.1318 Moghadasi, J., & Keikavoosi-Arani, L. (2023). Investigating the factors influencing students’ academic enthusiasm for a shift of paradigm among education managers shaping academic pedagogy. BMC Medical Education, 23(1), 480. PubMed Central. https://doi.org/10.1186/s12909-023-04453-4 Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The achievement emotions questionnaire (AEQ). Contemporary Educational Psychology, 36(1), 36–48. https://doi.org/10.1016/j.cedpsych.2010.10.002 Reis, H. T., O’Keefe, S. D., & Lane, R. D. (2016). Fun is more fun when others are involved. The Journal of Positive Psychology, 12(6), 547–557. https://doi.org/10.1080/17439760.2016.1221123 Rotgans, J. I., & Schmidt, H. G. (2011). Cognitive engagement in the problem-based learning classroom. Advances in Health Sciences Education, 16(4), 465–479. https://doi.org/10.1007/s10459-011-9272-9 Sabaratnam, A. (2025). The impact of students’ self-confidence on their learning interest. International Journal of Science and Research Archive, 15(2), 1632–1641. https://doi.org/10.30574/ijsra.2025.15.2.1599 Song, Y. (2024). Assessing the interactions between learning enjoyment, motivation, burnout, and grit in EFL students: A mixed-methods approach. BMC Psychology, 12(1). https://doi.org/10.1186/s40359-024-02303-6 Studzinski Perotto, F. (2012). Anticipatory learning mechanisms. Encyclopedia of the Sciences of Learning, 266–269. https://doi.org/10.1007/978-1-4419-1428-6_1873 Tyng, C. M., Amin, H. U., Saad, M. N. M., & Malik, A. S. (2017). The influences of emotion on learning and memory. Frontiers in Psychology, 8, 1454. PubMed Central. https://doi.org/10.3389/fpsyg.2017.01454 Wang, M.-T., & Degol, J. (2014). Staying engaged: Knowledge and research needs in student engagement. Child Development Perspectives, 8(3), 137–143. https://doi.org/10.1111/cdep.12073 Wong, L.-H., Chan, T.-W., Chen, W., Looi, C.-K., Chen, Z.-H., Liao, C. C. Y., King, R. B., & Wong, S. L. (2020). IDC theory: Interest and the interest loop. Research and Practice in Technology Enhanced Learning, 15(1), Article 3. https://doi.org/10.1186/s41039-020-0123-2 Zeng, Y., Zhang, W., Wei, J., & Zhang, W. (2023). The association between online class-related enjoyment and academic achievement of college students: A multi-chain mediating model. BMC Psychology, 11(1). https://doi.org/10.1186/s40359-023-01390-1 Zheng, H., Ye, Z., Bai, X., Shen, Y., & Cui, G. (2026). The effect of enjoyment on the achievement of learning goals in college students’ online classes: A moderated mediation model. Humanities and Social Sciences Communications, 13(1). https://doi.org/10.1057/s41599-026-06563-y }} == External links == * [https://www.academy.vic.gov.au/resource-collection/student-engagement Student engagement] (Victorian Academy of Teaching and Leadership) * [https://www.hunschool.org/admission/resources/blog/the-impact-of-enjoyment-on-learning-retention The impact of enjoyment on learning retention] (The Hun School of Princeton) * [https://www.ccyp.wa.gov.au/our-work/indicators-of-wellbeing/age-group-12-to-17-years/academic-achievement/ Academic achievement] (Commissioner for Children and Young People) * [https://www.edresearch.edu.au/research/research-reports/how-students-learn-best-overview-evidence How students learn best: An overview of the evidence] (Australian Education Research Organisation) * [https://teaching.resources.osu.edu/teaching-topics/shaping-positive-learning Shaping a Positive Learning Environment] (The Ohio State University) * [https://www.theabcis.com/blogs/positive-learning-environment/ What Is a Positive Learning Environment? 7 Key Characteristics That Help Students Thrive] (ABCIS Editorial Team) * [https://www.youtube.com/watch?v=T9ynlPs_NTM Creating a positive learning environment] (YouTube) * [https://www.edresearch.edu.au/summaries-explainers/explainers/retention-and-recall Retention and recall] (Australian Educational Research Organisation) * [https://www.sciencedirect.com/topics/psychology/memory-retention Memory Retention] (ScienceDirect) * [https://www.learningscientists.org/blog/2019/11/7/interest-and-engagement Engagement and Interest] (The Learning Scientists) [[Category:{{#titleparts:{{PAGENAME}}|3}}]] [[Category:Motivation and emotion/Book/Joy]] [[Category:Motivation and emotion/Book/Learning]] anb2am3h1yqxfhrx2pwab0tb0u8gvd4 1 331759 2844320 2830169 2026-11-03T21:58:17Z Jtneill 10242 Book chapter feedback 2844320 wikitext text/x-wiki <!-- Official topic development feedback --> {{METF/2026 |1= <!-- Title --> # Title and subtitle are correctly worded and use [[w:Letter case#Sentence casing|sentence casing]] |2= <!-- Headings --> <!-- 1-level --> # Promising [[Motivation and emotion/Assessment/Major project/Structure|1-level heading structure]] – could benefit from further development (e.g., consider using subheadings) <!-- Alignment with focus questions --> # Very good alignment between sub-title, focus questions, and heading structure, but there may be room for improvement |3= <!-- Overview--> # Needs scenario, image, and evocative description of the problem/topic, and focus questions <!-- Focus questions --> # Well developed focus questions that unpack the topic # Focus questions are aligned with sub-title and top-level headings |4= <!-- Key points--> <!-- Overall --> # Basic development; minimal information # Insufficient use of citations <!-- Scope --> # The scope is excellent (i.e., not too little/narrow or too big/broad) # Reasonably good coverage of theory; strive to balance the theoretical content with critical review of relevant research <!-- Conclusion --> # Conclusion hasn't been developed # What are the practical, take-home messages? (address the focus questions) |5= <!-- Figure --> # Relevant figure(s) are presented # Basic caption; consider expanding <!-- Cite --> # Cite each figure at least once in the main text using APA style (e.g., see Figure 1) <!-- Size --> # Consider increasing image size(s) (especially if they have text) to make them easier to view |6= <!-- Learning feature --> <!-- Interwiki links ---> # Three in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]]; also link to related [[Motivation and emotion/Book|book chapters]] <!-- Scenarios/examples/case studies --> # Consider use of more scenarios/examples/case studies <!-- Quiz --> # Consider including quiz question(s) about the take-home messages <!-- Tables --> # Also consider using tables to summarise key information |7= <!-- References --> <!-- Overall --> # To be developed <!-- Systematic reviews --> # What are the most relevant systematic reviews/meta-analyses about this topic? |8= <!-- Resources --> <!-- See also --> # See also ## To be developed (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) <!-- External links --> # External links ## To be developed (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) ## Link to the most relevant external resources about this topic |9= <!-- User page --> # Good <!-- Description about self --> # Description about self provided <!-- Links to profile(s) --> # Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks. <!-- Link to book chapter --> # Rename the link to the book chapter to make it more user-friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) |10= <!-- Social contribution --> # None summarised on user page with direct link(s) to evidence (see [[Motivation and emotion/Tutorials/Wiki editing#Social contributions|Tutorial 2]]). Looking ahead to the book chapter, see [[Motivation and emotion/Assessment/Chapter#Socialcontribution|social contributions]]. }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 07:35, 1 September 2026 (UTC) <!-- Official book chapter feedback --> {{MEBF/2026 |1= <!-- Overall comments... --> # This is a reasonably good chapter that makes OK use of psychological theory and research to address a real-world phenomenon or problem # Quite a bit of the information in this chapter is repetitious # The style appears to be quite formulaic, often indicative of genAI use # There is a remarkably brief reference list; the best, latest evidence on the topic have not identified and used e.g., https://doi.org/10.3390/brainsci12070830 # The other main area(s) for potential improvement include: #* more detailed review of the best psychological research about the topic #* integrate more strongly with other chapters by using embedded links to related topics #* more substantial engagement in social contribution #* overuse of unacknowledged [[Motivation and emotion/Assessment/Using generative AI]]—express more in your own words #* I suspect that the [[Motivation and emotion/Assessment#Assessment items|recommended 75 hours]] were not invested in preparing this chapter <!-- Overall - Edit summaries --> #* Very good use of [[Motivation and emotion/Wikiversity/Edit summary|edit summaries]] to communicate the changes made in most or all of the main edits <!-- Overall – Citations --> # Reasonably good use of academic, peer-reviewed citations to support claims <!-- Overall – Word count --> # Under the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]], so there is room to expand <!-- Overall – Copy edits --> # For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FNeurobiology_of_love&diff=2844319&oldid=2839600 these copy edits] |2= <!-- Overview – Comments... --> # Very good <!-- Overview – Scenario --> <!-- Overview – Scenario - Description --> # Basic scenario or case study <!-- Overview – Scenario - Figure --> # Figure 1 is relevant to the scenario <!-- Overview – Scenario - Feature box --> # The scenario uses an appropriate feature box <!-- Overview – Explains problem --> # Clearly explains the psychological problem or phenomenon <!-- Overview – Focus questions --> # The focus questions are clear and relevant # Use bullet points as shown in Tutorial 2 for the focus questions |3= <!-- Theory comments... --> <!-- Theory – Breadth --> # Reasonably good—relevant theories are selected, described, and applied, with some room for improvement <!-- Theory – Builds on --> # Builds effectively on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms <!-- Theory – Depth --> # Reasonably good depth is provided about key theory(ies) <!-- Theory – Tables/Figures/Lists --> # Good use of tables, figures, and/or lists to convey key theoretical information # The information presented in tables lacks sufficient citation <!-- Theory – Citations --> # In some places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological theory about the topic. <!-- Theory – Examples --> # Insufficient use of examples to illustrate theoretical concepts |4= <!-- Research comments... --> <!-- Research – Key findings --> # Reasonably good review of relevant research # Insufficient use of relevant systematic reviews and/or meta-analyses # More detail about key studies would be ideal # More recent research would be ideal # A small number of studies are used repeatedly # In some places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological science about the topic. # of academic, peer-reviewed citations (e.g., see the {{f}} tags) <!-- Research – Critical thinking --> # Basic [[w:Critical thinking|critical thinking]] about relevant research is evident # [[w:Critical thinking|Critical thinking]] about research could be further evidenced by: ## describing the methodology (e.g., sample, country, measures) in important studies ## considering the strength of relationships ## suggesting ''specific'' directions for future research |5= <!-- Integration comments... --> # Very good integration between the most relevant theory(ies) and the best research # Insufficient integration with related [[Motivation and emotion/Book|chapters]] |6= <!-- Conclusion comments... --> # Good summary and conclusion # Is this section based on [[Motivation and emotion/Assessment/Using generative AI|genAI output]]? If so, this was not acknowledged in the [[Motivation and emotion/Wikiversity/Edit summary|edit summary]]. # Highlight the importance of the problem or phenomenon of interest <!-- Conclusion – Key points --> # Key points are summarised reasonably well <!-- Conclusion – Focus questions --> # The focus questions are addressed <!-- Conclusion – Take-home messages --> # Add practical, take-home message(s) |7= <!-- Style comments... --> <!-- Style – Written expression --> # Written expression ## The quality of written expression is good, but appears to be based on overuse of insufficiently acknowledged genAI content; a more convincing chapter would either use more human-written words and/or use finer-grained acknowledgement of genAI with publicly available links to the chatbot conversations as per the [[Motivation and emotion/Assessment/Using generative AI|unit's using genAI guidelines]] <!-- Style – Sentences --> ## Avoid starting sentences with a citation unless the author is particularly pertinent. Instead, it is more interesting for the the content/key point to be communicated, with the citation included along the way or, more typically, in [[w:Bracket#Parentheses|parentheses]] at the end of the sentence. <!-- Style – Language --> ## Use [https://www.grammarly.com/blog/first-second-and-third-person/ 3rd person perspective] (e.g., "it") instead of 1st (e.g., "we") or 2nd person (e.g., "you") in the main text. 1st or 2nd person can work well for case studies or feature boxes. <!-- Style – Layout --> # Layout ## The chapter is well structured, with major sections using sub-sections ## Remove abbreviations/citations from headings ## Use default heading styles (e.g., remove bold) ## Integrate (embed) learning features such as quizzes, without their own headings, rather than having them as stand-alone sections <!-- Style – APA style --> # APA style ## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY] (also known as the Oxford comma) <!-- Style – APA style - Quotes --> ## Use double (not single) quotation marks "to introduce a word or phrase used ... as slang, or as an invented or coined expression" ([https://apastyle.apa.org/products/publication-manual-7th-edition APA Style 7th ed.], 2020, p. 159) <!-- Style – Figures --> ## Figures ### Brief captions; provide more detail to help connect the figure to the text ### Use this format for captions: '''Figure X'''. Descriptive caption goes here in sentence casing without bold or italics. [[Motivation and emotion/Assessment/Chapter/Figures|See example]]. ### Increase Figure 2 and 3 image sizes to make them easier to view <!-- Style – Figures - Citations --> ### Refer to each Figure at least once within the main text (e.g., "(see Figure 1)") <!-- Style – Tables --> ## Table(s) ### Very well captioned ### The source(s) of the information presented in one or more tables needs acknowledgement <!-- Style – Tables - Citations --> ### Refer to each Table at least once within the main text (e.g., see Table 1) <!-- Style – Citations --> # In some places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags) <!-- Style – References --> ## References use good APA style: ### Check and correct use of italicisation ### Hyperlink dois for 1-click access |8= <!-- Learning features comments... --> # Good use of learning features <!-- Learning features – Wikipedia embedded links --> # Very good use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. <!-- Learning features – Wikiversity embedded links --> # Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. <!-- Learning features – Figures, tables, feature boxes, scenarios --> # Basic use of figure(s) # Very good/ use of table(s) # No use of feature boxes other than the opening scenario # No use of scenarios, case studies, or examples, other than opening scenario <!-- Learning features – Quizzes --> # Basic use of quiz(zes) and/or reflection question(s) # The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end <!-- Learning features – See also --> # Reasonably good use of the [[{{PAGENAME}}#See also|See also]] section ## Use the format shown in the [[Template:Motivation and emotion/Book chapter structure#See also|template]] ## Rename links per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] (fixed) ## Use alphabetical order <!-- Learning features – External links --> # Basic use of the [[{{PAGENAME}}#External links|External links]] section ## Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] ## Include sources in [[w:Bracket#Parentheses|parentheses]] after the link |9= <!-- Social contribution comments... --> # ~3 logged contributions without [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]], so unable to easily verify and assess. See [[Motivation and emotion/Tutorials|tutorials]] for guidance about how to get direct links to evidence. }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 21:58, 3 November 2026 (UTC) foh69vyormrb9asdgpreihrxlecmiv7 1 331831 2844285 2833004 2026-11-03T17:56:58Z Diaz Chas 3109441 /* Edits */ new section 2844285 wikitext text/x-wiki == Focus questions == This is looking fantastic, I am very interested in your topic and your focus questions are extremely interesting. Remember to use bullet points for the focus questions. [[User:U3284302|U3284302]] ([[User talk:U3284302|discuss]] • [[Special:Contributions/U3284302|contribs]]) 12:47, 4 September 2026 (UTC) <!-- Official topic development feedback --> {{METF/2026 |1= <!-- Title --> # Title and subtitle are correctly worded and use [[w:Letter case#Sentence casing|sentence casing]] |2= <!-- 1-level --> # Promising [[Motivation and emotion/Assessment/Major project/Structure|1-level heading structure]] – could benefit from further development (e.g., consider using subheadings) <!-- Alignment with focus questions --> # Excellent alignment between sub-title, focus questions, and heading structure # Very good alignment between sub-title, focus questions, and heading structure, but there may be room for improvement # Good alignment between sub-title, focus questions, and heading structure, but there is room for improvement # Reasonably good alignment between focus questions and heading structure, but aim for closer alignment # Basic alignment between between sub-title, focus questions, and top-level headings. Aim to improve. # Develop closer alignment between sub-title, focus questions, and top-level headings # Insufficient alignment between sub-title, focus questions, and top-level headings <!-- GenAI ---> # Are the headings based on [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity. |3= <!-- Overview--> # Good <!-- Scenario --> # Basic scenario # Consider using an example which is relatable to a wide, international audience, rather than a specific university student audience # Add an image to the scenario to help attract reader interest <!-- Description --> # A basic description of the problem/topic is planned or presented # What psychological theory/theories are most relevant? <!-- Focus questions --> <!-- Alignment and quality --> # Develop closer alignment between the sub-title, focus questions, and top-level headings # There are too many focus questions; only include questions that are needed to address the sub-title; avoid side-quests—these are usually better treated as examples or scenarios, or left out altogether so that the chapter can concentrate on the core task of synthesising the best psychological theory and research about the topic. <!-- Other --> # Use open- rather then close-ended focus questions |4= <!-- Key points--> <!-- Overall --> # Basic development # Provide more detailed edit summaries <!-- Theory and research --> # Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples. <!-- GenAI ---> # Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity. <!-- Conclusion --> # Conclusion is underway # What are the practical, take-home messages? (address the focus questions) |5= <!-- Figure --> # Relevant figure(s) are presented and captioned # Add a relevant figure to the scenario <!-- Caption --> # Figure caption(s) provide(s) a somewhat clear description that is connected with the main text, but could be improved (e.g., proposed by who?) <!-- Cite --> # Cite each figure at least once in the main text using APA style (e.g., see Figure 1) <!-- Size --> # Consider increasing image size(s) (especially if they have text) to make them easier to view <!-- Creation --> # Well done on creating and uploading your own image! {{smile}}—this can also be listed on your user page as a social contribution |6= <!-- Learning feature --> <!-- Interwiki links ---> # Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) <!-- Scenarios/examples/case studies --> # Consider incorporating additional scenarios, examples, or case studies to illustrate key concepts. These could build on the Overview scenario or introduce new real-world situations in the main body of the chapter to demonstrate how the concepts apply in practice. <!-- Quiz --> # Consider including quiz question(s) about the take-home messages <!-- Tables --> # Promising use of [[Motivation and emotion/Wikiversity/Tables|table(s)]] # Include acknowledgement (e.g., citation(s)) for sources of information presented in the table <!-- References --> <!-- Overall --> # Good <!-- Systematic reviews --> # What are the most relevant systematic reviews/meta-analyses about this topic? <!-- APA style --> # Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]: ## make doi hyperlinks active (i.e., clickable) |8= <!-- Resources --> <!-- See also --> # See also ## Excellent ## To be developed (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) <!-- External links --> # External links ## Good ## Use [[w:Letter case#Sentence casing|sentence casing]] ## Use alphabetical order ## Include source in brackets after link |9= <!-- User page --> # Not developed – see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] <!-- Description about self --> |10= <!-- Social contribution --> # None summarised on user page with direct link(s) to evidence (see [[Motivation and emotion/Tutorials/Wiki editing#Social contributions|Tutorial 2]]). Looking ahead to the book chapter, see [[Motivation and emotion/Assessment/Chapter#Socialcontribution|social contributions]]. }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 02:53, 13 September 2026 (UTC) == Edits == Well done on the book chapter. You could add templates for the scenarios to highlight them. You could also add more pictures to make the page more interesting. [[User:Diaz Chas|Diaz Chas]] ([[User talk:Diaz Chas|discuss]] • [[Special:Contributions/Diaz Chas|contribs]]) [[User:Diaz Chas|Diaz Chas]] ([[User talk:Diaz Chas|discuss]] • [[Special:Contributions/Diaz Chas|contribs]]) 17:56, 3 November 2026 (UTC) m2l8e2zmuqx18jzmyvywoywhrlm9gdh 1 331848 2844412 2841937 2026-11-04T05:22:37Z Jtneill 10242 Minor updates to official book chapter feedback 2844412 wikitext text/x-wiki == Heading casing == {| style="float: center; background:transparent;color:inherit;" |- | [[File:Crystal Clear app ktip.svg|48px|left]] | {{#if:Monuc9|Hi [[User:Monuc9|Monuc9]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:<br> <big><big>Self-determination theory</big></big> rather than <big><big>Self-Determination Theory</big></big> Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 11:13, 5 September 2026 (UTC) |} <!-- Official topic development feedback --> {{METF/2026 |1= <!-- Title --> # Title and/or subtitle not correctly worded (fixed) |2= <!-- Headings --> # See earlier comment about [[#heading casing|heading casing]] <!-- Heading structure --> <!-- 2-level --> # Promising [[Motivation and emotion/Assessment/Major project/Structure|2-level heading structure]] – could benefit from further development and/or refinement # The headings could be more detailed # Consider adding an initial heading for a section that explains what generativity is # The structure logic (a series of relations between two constructs at a time) is a little awkward - consider a more integrated approach <!-- Alignment with focus questions --> # Develop closer alignment between sub-title, focus questions, and top-level headings |3= <!-- Overview--> # Very good <!-- Scenario --> # A scenario or case study is presented in a feature box at the start of this section # Add an image to the scenario to help attract reader interest <!-- Description --> # A clear description of the problem/topic is planned or presented <!-- Focus questions --> # Focus questions can be improved by revising the wording so that they align more directly with the sub-title |4= <!-- Key points--> <!-- Overall --> # Partial development <!-- Theory and research --> # Strive for an integrated balance of the best psychological theory and research about this topic, with practical examples. <!-- Citation style --> # Use [https://apastyle.apa.org/style-grammar-guidelines/citations/basic-principles APA style 7th edition for citations] <!-- Conclusion --> # Conclusion hasn't been developed # What are the practical, take-home messages? (address the focus questions) |5= <!-- Figure --> # A relevant figure is not presented and cited (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) |6= <!-- Learning feature --> <!-- Interwiki links ---> # Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) <!-- Scenarios/examples/case studies --> # Consider use of more scenarios/examples/case studies <!-- Quiz --> # Promising use of quiz question(s) # Place each quiz question in the most relevant section # Focus the quiz question(s) on the take-home messages <!-- Tables --> # Also consider using tables to summarise key information |7= <!-- References --> <!-- Overall --> # Basic <!-- Systematic reviews --> # At least one relevant systematic review and/or meta-analysis has been identified <!-- Move --> # Move non-academic / non-peer reviewed sources to the "External links" section <!-- Citations --> # All references need APA style in-text citation <!-- APA style --> # Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]: ## alphabetical order ## capitalisation ## [[Help:Wikitext quick reference|italicisation]] ## full journal titles ## include hyperlinked dois ## page numbers should be separated by an en-dash (–) rather than a hyphen (-) |8= <!-- Resources --> <!-- See also --> # See also ## One of two link types provided ### Also link to relevant [[w:|Wikipedia]] pages ## Use bullet-points (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) ## Rename links so that they are more user friendly (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) ## Include source in brackets after link (e.g., (Wikipedia) or (Book chapter, year) for Wikiversity book chapters) <!-- External links --> # External links ## To be developed (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) ## Link to the most relevant external resources about this topic |9= <!-- User page --> # Insufficient <!-- Description about self --> # Very brief description about self – consider expanding <!-- Links to profile(s) --> # Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks. <!-- Link to book chapter --> # Add link to book chapter (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) |10= <!-- Social contribution --> # One out of three types of contributions made with direct link(s) to evidence. The other types of contribution are making: #* direct improvements to other [[Motivation and emotion/Book|chapters (past or current)]] #* comments on the [[Help:Talk page|talk page]]s of other [[Motivation and emotion/Book|chapters (past or current)]] }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 11:13, 5 September 2026 (UTC) <!-- Official book chapter feedback --> {{MEBF/2026 |1= <!-- Overall comments... --> # This is a basic chapter # The main area(s) for potential improvement: #* use the best psychological theory about the topic (in this case, there is surprisingly little about Erikson's theory itself) #* more detailed review of the best psychological research about the topic, including detail about the method and strength of findings #* integrate more strongly with other chapters by using embedded links to related topics #* overuse of unacknowledged [[Motivation and emotion/Assessment/Using generative AI]] (watch out for [[w:AI slop|AI slop]])—express more in your own words <!-- Overall - GenAI --> #* In many places, there is overreliance on genAI #* There is insufficient acknowledgement in edit summaries when adding [[Motivation and emotion/Assessment/Using generative AI|genAI output]]; for example, link(s) to the genAI conversation(s) are not provided, so a reader is unable to determine which parts are human-written and which parts are AI-generated, which is insufficiently academically transparent <!-- Overall – Citations --> # Insufficient use of academic, peer-reviewed citations to support claims <!-- Overall – Word count --> # Over the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]]. Content beyond 4,000 words has been ignored for marking purposes. <!-- Overall – Copyedits --> # For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FGenerativity&diff=2841936&oldid=2837071 these copyedits] |2= <!-- Overview – Comments... --> # Very good <!-- Overview – Scenario --> <!-- Overview – Scenario - Description --> # Reasonably engaging scenario or case study # Revise the scenario to better illustrate generativity than stagnation # Consider changing the perspective from second person to third person <!-- Overview – Scenario - Figure --> # Figure 1 could be more relevant to the scenario # The Figure 1 caption could more clearly explain how it illustrates generativity <!-- Overview – Scenario - Feature box --> # The scenario uses an appropriate feature box <!-- Overview – Explains problem --> # Clearly explains the psychological problem or phenomenon <!-- Overview – Focus questions --> # The focus questions are basic # The focus questions are vague # The focus questions could be improved by: ## being more specific to the topic (i.e., the sub-title). For example, here are three focus questions that more directly address the sub-title: ### What is generativity? ### What behaviours does generativity motivate? ### What is the relationship between generativity and valued life outcomes? ## matching the top-level headings more closely |3= <!-- Theory comments... --> <!-- Theory – Breadth --> # Reasonably good—relevant theories are selected, described, and explained, with some room for improvement # There is insufficient description of generativity based on Erikson's original conceptualisation <!-- Theory – Builds on --> # Builds in a basic way on [[w:|Wikipedia]] articles but not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms <!-- Theory – Depth --> # Basic depth is provided about key theory(ies) # There is quite a bit of "wheel spinning" (saying the same thing in different ways) which is typical of overreliance on poorly prompted genAI output <!-- Theory – Tables/Figures/Lists --> # Basic use of tables, figures, and/or lists to clearly convey key theoretical information <!-- Theory – Citations --> # In many places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological theory about the topic based on independent human-reading and writing. <!-- Theory – Examples --> # Insufficient use of examples to illustrate theoretical concepts |4= <!-- Research comments... --> <!-- Research – Key findings --> # Basic review of relevant research # Insufficient use of relevant systematic reviews and/or meta-analyses # More detail about key studies would be ideal, particularly methodology and strength of findings # In many places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological science about the topic. <!-- Research – Critical thinking --> # Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident # [[w:Critical thinking|Critical thinking]] about research could be further evidenced by: ## describing the methodology (e.g., sample, measures) in important studies ## considering the strength of relationships ## acknowledging limitations ## pointing out critiques/counterarguments ## suggesting ''specific'' directions for future research |5= <!-- Integration comments... --> # Basic integration between the most relevant theory(ies) and the best research # The chapter places more emphasis on theory than on research; strive for an integrated balance # Rather than describing individual studies separately, consider synthesising findings across related studies to identify common themes, patterns, and differences in the evidence # The chapter could be strengthened through deeper integration with related [[Motivation and emotion/Book|chapters]] by including more embedded links |6= <!-- Conclusion comments... --> # Basic summary and conclusion # Highlight the importance of the problem or phenomenon of interest <!-- Conclusion – Key points --> # Key points are summarised in a basic way <!-- Conclusion – Focus questions --> # Address the focus questions <!-- Conclusion – Take-home messages --> # General take-home message provided <!-- Conclusion – Word count --> # Not counted for marking purposes due to the chapter being over the maximum word count |7= <!-- Written expression – Style comments... --> <!-- Written expression – Written expression --> # Written expression ## The quality of written expression is OK but there are several aspects which are below professional standard ### genAI is over-used; write more in your own words, based on your own knowledge based on reading the primary sources <!-- Written expression – Sentences --> ## Avoid starting sentences with a citation unless the author is particularly pertinent. Instead, it is more interesting for the the content/key point to be communicated, with the citation included along the way or, more typically, in [[w:Bracket#Parentheses|parentheses]] at the end of the sentence. <!-- Written expression – Language --> ## Use [https://www.grammarly.com/blog/first-second-and-third-person/ 3rd person perspective] (e.g., "it") instead of 1st (e.g., "we") or 2nd person (e.g., "you") in the main text. 1st or 2nd person can work well for case studies or feature boxes. <!-- Written expression – Layout --> # Layout ## The chapter is well structured, with major sections using sub-sections ## See earlier comment about [[#Heading casing|heading casing]] <!-- Written expression – Grammar --> <!-- Written expression – Spelling --> # Spelling ## Use [https://www.abc.net.au/education/learn-english/australian-vs-american-spelling/11244196 Australian spelling] (e.g., hypothesize vs. hypothesise; behavior vs. behaviour) <!-- Written expression – Proofreading --> # Proofreading ## Remove unnecessary capitalisation – [https://polishedpaper.com/blog/capitalization-apa-style more info] <!-- Written expression – APA style --> # APA style ## Use [[w:Serial comma|serial comma]]s[https://www.buzzfeed.com/adamdavis/the-oxford-comma-is-extremely-important-and-everyone-should][https://www.youtube.com/watch?v=gBx8ooDupXY] ## Use [https://apastyle.apa.org/style-grammar-guidelines/capitalization/diseases-disorders-therapies sentence casing for disorders, therapies, theories, etc.] <!-- Written expression – Figures --> ## Figures ### Brief captions; provide more detail to help connect the figure to the text <!-- Written expression – Figures - Citations --> ### Refer to each Figure at least once within the main text (e.g., "(see Figure 1)") <!-- Written expression – Citations --> # In many places, better use could be made of academic, peer-reviewed citations (e.g., see the {{f}} tags) # Only cite sources that you consulted <!-- Written expression – References --> ## References use very good APA style: ### Check and correct use of italicisation |8= <!-- Learning features comments... --> # Basic use of learning features <!-- Learning features – Wikipedia embedded links --> # Basic use of embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding more interwiki links for the first mention of key words and technical concepts would make the text even more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. <!-- Learning features – Wikiversity embedded links --> # Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. <!-- Learning features – Figures, tables, feature boxes, scenarios --> # Basic use of figure(s) # Two basic table(s) # Excellent use of feature box(es) from a technical/layout point of view, but the content is often just an academic sentence rather than a practical application, activity, or scenario <!-- Learning features – Quizzes --> # Basic use of quiz(zes) and/or reflection question(s) # The quiz questions could be improved by being more focused on the key points and/or take-home messages # The quiz questions could be more effective as learning prompts by being embedded as single questions within each corresponding section rather than as a set of questions at the end <!-- Learning features – See also --> # Excellent use of the [[{{PAGENAME}}#See also|See also]] section <!-- Learning features – External links --> ## Link to the top 3-6 external resources about this topic |9= <!-- Social contribution comments... --> # ~4 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]] # ~1 logged contributions without [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]], so unable to easily verify and assess. See [[Motivation and emotion/Tutorials|tutorials]] for guidance about how to get direct links to evidence. }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 21:37, 21 October 2026 (UTC) dqgzoz6qoocixrs0xbhxg1v9v73rtii 0 331984 2844252 2843136 2026-11-03T17:00:38Z ShakespeareFan00 6645 2844252 wikitext text/x-wiki [[Image:Lunularia cruciata.jpg|thumb|300px|right|This is a Liverwort.]] Marchantiophytes are non-vascular land plants in the division Marchantiophyta, also known as hepatics. ==Information== Name Meaning: Marchantia-like plant, liver plant English Common Name: Liverworts Major distinguishing characteristics: Ephemeral unbranched sporophytes, no vascular system Approximate number of species described: 9,000 ==Evolutionary History== [https://en.wikipedia.org/wiki/Epiphyte Epiphytic] thalloid liverworts evolved during the Triassic to the Cretaceous. ==Classes== Haplomitriopsida – Jungermanniopsida – Marchantiopsida ==Phylogeny== {{Clade | style=font-size:90%;line-height:80% |label1='''Marchantiophyta''' |1={{clade |1={{clade |label1=Haplomitriopsida |1={{clade |1=Haplomitriales [[File:Untersuchungen über Haplomitrium Hookeri (1843) plate XIII.jpg|60px]] |2=Treubiales [[File:Treubia lacunosa (Colenso) Prosk. (AM AK322391-1).jpg|60px]] }} }} |2={{clade |label1=Marchantiopsida |1={{clade |label1=Blasiidae |1=Blasiales [[File:Blasia pusilla 231011.jpg|60px]] |label2=Marchantiidae |2={{clade |1=Neohodgsoniales [[File:Carpocephala of Neohodgsonia.jpg|60px]] |2={{clade |1=Sphaerocarpales [[File:Sphaerocarpos texanus 351874556.jpg|60px]] |2={{clade |1=Lunulariales [[File:Lunularia cruciata 252749453.jpg|60px]] |2=Marchantiales [[File:Conocephalum conicum (d, 144739-474747) 3155.jpg|60px]] }} }} }} }} |label2=Jungermanniopsida |2={{clade |1={{clade |label1=Pelliidae |1={{clade |1=Pelliales [[File:Pellia epiphylla7 ies.jpg|60px]] |2={{clade |1=Fossombroniales [[File:Petalophyllum preissii.jpg|60px]] |2=Pallaviciniales [[File:Pallavicinia xiphoides (Hook.f. and Tayl.) Trev. (AM AK298944).jpg|60px]] }} }} }} |2={{clade |label1=Metzgeriidae |1={{clade |1=Metzgeriales [[File:Riccardia multifida (a, 144643-474753) 0264.jpg|60px]] |2=Pleuroziales [[File:Pleurozia purpurea36373 580 360.jpg|60px]] }} |label2=Jungermanniidae |2={{clade |1=Jungermanniales [[File:Jungermannia subulata (b, 144634-474722) 7627.JPG|60px]] |2={{clade |1=Porellales [[File:Cololejeunea macounii 358541811.jpg|60px]] |2=Ptilidiales [[File:Ptilidium pulcherrimum (e, 144846-474705) 3522.JPG|60px]] }} }} }} }} }} }} }} ==References== [[Wikipedia:Liverwort]] s2xhfer3yfpebxhxe820g4uexvvm9em 1 332001 2844283 2832872 2026-11-03T17:42:51Z Diaz Chas 3109441 /* Potential Improvement */ new section 2844283 wikitext text/x-wiki == Heading casing == {| style="float: center; background:transparent;color:inherit;" |- | [[File:Crystal Clear app ktip.svg|48px|left]] | {{#if:Sarah Hagan06|Hi [[User:Sarah Hagan06|Sarah Hagan06]].|}} FYI, the recommended [[Wikiversity]] heading style uses [[w:Letter case#Sentence_case|sentence casing]]. For example:<br> <big><big>Self-determination theory</big></big> rather than <big><big>Self-Determination Theory</big></big> Here's an example chapter with correct heading casing: [[Motivation and emotion/Book/2019/Growth mindset development|Growth mindset development]] -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 23:01, 11 September 2026 (UTC) |} <!-- Official topic development feedback --> {{METF/2026 |1= <!-- Title --> # Title and/or subtitle not correctly worded and/or didn't use [[w:Letter case#Sentence casing|sentence casing]] (fixed) |2= <!-- Headings --> # See earlier comment about [[#heading casing|heading casing]] <!-- Heading structure --> <!-- 2-level --> # Promising [[Motivation and emotion/Assessment/Major project/Structure|2-level heading structure]] – could benefit from further development and/or refinement <!-- Alignment with focus questions --> # Insufficient alignment between sub-title, focus questions, and top-level headings |3= <!-- Overview--> # Good <!-- Scenario --> # A basic scenario or case study is presented in a feature box at the start of this section # I moved an image into the feature box to help attract reader interest # The image needs a caption to connect it to the scenario <!-- Description --> # A basic description of the problem/topic is planned or presented <!-- Focus questions --> # Develop closer alignment between the sub-title, focus questions, and top-level headings |4= <!-- Key points--> <!-- Overall --> # Solid development # Focus on providing an integrative review of the most relevant theories and research on the topic # Provide more detailed edit summaries <!-- Scope --> # The scope is excellent (i.e., not too little/narrow or too big/broad) <!-- Theory and research --> # Promising balance of theory and research <!-- Other --> # Use correct capitalisation ([https://apastyle.apa.org/style-grammar-guidelines/capitalization APA style is a "down" style]) – [https://polishedpaper.com/blog/capitalization-apa-style more info] <!-- Conclusion --> # Conclusion is well underway # What are the practical, take-home messages? (address the focus questions) |5= <!-- Figure --> # Relevant figure(s) are presented <!-- Caption --> # Figure caption(s) should include '''Figure X'''. ... followed by a descriptive caption that connects the figure to concepts being described in the main body text <!-- Cite --> # Cite each figure at least once in the main text using APA style (e.g., see Figure 1) |6= <!-- Learning feature --> <!-- Interwiki links ---> # Add in-text [[m:Help:Interwiki linking|interwiki links]] for first mention of key terms to [[w:|Wikipedia]] and/or [[Motivation and emotion/Book|book chapters]] (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) <!-- Scenarios/examples/case studies --> # Promising use of scenarios/examples/case studies <!-- Quiz --> # Promising use of quiz question(s) # Place each quiz question in the most relevant section # Focus the quiz question(s) on the take-home messages <!-- Tables --> # Promising use of [[Motivation and emotion/Wikiversity/Tables|table(s)]] # Include acknowledgement (e.g., citation(s)) for sources of information presented in the table # Add table caption # Cite each table at least once in the text using APA style |7= <!-- References --> <!-- Overall --> # Good # Surprisingly, Alderfer isn't cited <!-- Systematic reviews --> # What are the most relevant systematic reviews/meta-analyses about this topic? <!-- APA style --> # Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]: ## include hyperlinked dois ## page numbers should be separated by an en-dash (–) rather than a hyphen (-) |8= <!-- Resources --> <!-- See also --> # See also ## One of two link types provided ### Also link to relevant [[w:|Wikipedia]] pages <!-- External links --> # External links ## To be developed (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) ## Link to the most relevant external resources about this topic |9= <!-- User page --> # Very basic <!-- Description about self --> # Very brief description about self – consider expanding <!-- Links to profile(s) --> # Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks. <!-- Link to book chapter --> # A link to the book chapter is provided |10= <!-- Social contribution --> # None summarised on user page with direct link(s) to evidence (see [[Motivation and emotion/Tutorials/Wiki editing#Social contributions|Tutorial 2]]). Looking ahead to the book chapter, see [[Motivation and emotion/Assessment/Chapter#Socialcontribution|social contributions]]. }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 23:01, 11 September 2026 (UTC) == Potential Improvement == The book chapter is great so far. You could remove the assessment instructions from the external links and add more relevant links. You can also add more to the 'see also' section. [[User:Diaz Chas|Diaz Chas]] ([[User talk:Diaz Chas|discuss]] • [[Special:Contributions/Diaz Chas|contribs]]) [[User:Diaz Chas|Diaz Chas]] ([[User talk:Diaz Chas|discuss]] • [[Special:Contributions/Diaz Chas|contribs]]) 17:42, 3 November 2026 (UTC) atn6xpgkdp845zyysp9ssdao5s1xtn7 1 332064 2844197 2844185 2026-11-03T12:22:16Z Jtneill 10242 2844197 wikitext text/x-wiki <!-- Official topic development feedback --> {{METF/2026 |1= <!-- Title --> # Title and subtitle are correctly worded and use [[w:Letter case#Sentence casing|sentence casing]] |2= <!-- Heading structure --> <!-- 2-level --> # Promising [[Motivation and emotion/Assessment/Major project/Structure|2-level heading structure]] – could benefit from further development (expand) # There may be conceptual overlap between some sections <!-- Alignment with focus questions --> # Reasonably good alignment between focus questions and heading structure, but aim for closer alignment |3= <!-- Overview--> # Good <!-- GenAI ---> # Does this section include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, it needs to be acknowledged as such in the edit summaries, otherwise it violates academic integrity. <!-- Scenario --> # A scenario or case study is presented in a feature box with an image at the start of this section # I moved an image into the feature box to help attract reader interest <!-- Description --> # A promising description of the problem/topic is planned or presented # What are the most relevant psychological theories? <!-- Focus questions --> <!-- Alignment and quality --> # Reasonably good alignment between focus questions and top-level headings, but consider closer alignment # Avoid double-barrelled questions # There may be conceptual overlap between some questions; consider consolidating |4= <!-- Key points--> <!-- Overall --> # Promising development # Focus on providing an integrative review of the most relevant theories and research on the topic # Provide more detailed edit summaries <!-- Citations --> # Basic use of citations <!-- GenAI ---> # Do these key points include [[Motivation and emotion/Assessment/Using generative AI|genAI content]]? If so, this needs to be acknowledged in the edit summaries, otherwise it violates academic integrity. <!-- Conclusion --> # Conclusion is underway # What are the practical, take-home messages? (address the focus questions) |5= <!-- Figure --> # Relevant figure(s) are presented and captioned <!-- Caption --> # Figure caption(s) provide(s) a somewhat clear description that is connected with the main text, but could be improved <!-- Cite --> # Cite each figure at least once in the main text using APA style (e.g., see Figure 1) |6= <!-- Learning feature --> <!-- Interwiki links ---> # One in-text [[m:Help:Interwiki linking|interwiki link]] for first mention of key term to [[Motivation and emotion/Book|book chapters]]. Also embed links to [[w:|Wikipedia]]. <!-- Scenarios/examples/case studies --> # Consider incorporating additional scenarios, examples, or case studies to illustrate key concepts. These could build on the Overview scenario or introduce new real-world situations in the main body of the chapter to demonstrate how the concepts apply in practice. <!-- Quiz --> # Consider including quiz question(s) about the take-home messages <!-- Tables --> # Also consider using [[Motivation and emotion/Wikiversity/Tables|table(s)]] to summarise key information |7= <!-- References --> <!-- Overall --> # Excellent <!-- Systematic reviews --> # Well done on identifying relevant systematic reviews and/or meta-analyses <!-- APA style --> # Check and correct [https://apastyle.apa.org/instructional-aids/reference-guide.pdf APA referencing style]: ## [[Help:Wikitext quick reference|italicisation]] |8= <!-- Resources --> <!-- See also --> # See also ## Very good ## Use bullet-points (see [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]]) ## Use alphabetical order <!-- External links --> # External links ## Very good ## Use [[w:Letter case#Sentence casing|sentence casing]] ## Use alphabetical order <!-- User page --> # Used effectively <!-- Description about self --> # Description about self provided <!-- Links to profile(s) --> # Consider linking to your [https://portfolio.canberra.edu.au/ eportfolio] page and/or any other professional online profile or resume such as [https://www.linkedin.com/ LinkedIn]. This is not required, but it can be useful to interlink your professional networks. <!-- Link to book chapter --> # A link to the book chapter is provided |10= <!-- Social contribution --> # Excellent – at least three different types of contributions with direct link(s) to evidence }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 08:16, 15 September 2026 (UTC) == Suggestion about chapter == Hi, You made really good progress for your book chapter. I found Wallas’ Four-Stage Model of the Creative Process theory related to creativity, which I thought you can include in your book chapter. Please find reference below for the theory: Sadler-Smith, E. (2015). Wallas’ Four-Stage Model of the Creative Process: More Than Meets the Eye? Creativity Research Journal, 27(4), 342–352. https://doi.org/10.1080/10400419.2015.1087277 All the best. --[[User:P U3270518|P U3270518]] ([[User talk:P U3270518|discuss]] • [[Special:Contributions/P U3270518|contribs]]) 09:38, 16 September 2026 (UTC) == Reccomendations: Overview and headings == Hello, I really like this topic and I think you've encapculated the core components of it very well in your book chapter so far. As I am a super creative person, I love this topic. I have two main points of feedback, feel free to take pieces or ignore entirely. I am obviously a student (same as you) and am writing this feedback based on my own understanding of what the assessment requires. Hope this helps. :) For the overview, you brought up two distinct components of your topic (creativity and then effort) which is good but you may have gone on a little bit too long. I believe if you were to shorten your overview to just the scenario, you could get your point accross more succinctly. See my example of your scenario trimmed: "''You have been staring at a blank page for hours, trying to come up with an original idea for a creative project. Just when you decide to take a break, an idea suddenly comes to you. You feel excited and inspired, and you immediately start working. At first, everything seems to flow naturally and you feel confident about what you are creating. As you continue, however, the excitement begins to fade. The idea is harder to develop than you expected, and finishing the project requires concentration, persistence, and several changes along the way.'' Where did that initial creative spark go and how and why does one persevere despite it?" Then I would proceed to add your explanation beneath the scenario. I did a little rewording to help clarify your key points. "''This experience shows how inspiration can provide a starting point for creativity but also that creativity does not depend on inspiration alone, particularly in its execution. Inspiration can help people recognise new possibilities and motivate them to turn those possibilities into action (Oleynick et al., 2014) while developing the initial idea can require continual effort, revision, problem-solving, and persistence. This raises an interesting question: Does inspiration drive us to put effort into creative work, or can the effort we put into creating also lead to new inspiration?"'' I did remove one of your sources as I found it detracted from the actual concepts you were discussing in your scenario. I'm sure it'd be very easy to reuse it in the body of your chapter so don't stress. My next major piece of advice actual involves your heading and chapter structure. This is not to say I believe all the work you have done is void, but I believe reorganising and clarifying creative features will really strengthen your chapter (aforementioned, I'm very passionate about this topic lol) Here's my suggestion on a potential structure shift. (H = heading, SH = subheading) H1 Creativity SH1 Creativity and humanity. Here is where I would outline what creativity actually is. What mechanisms define it? Why do we do it? (socially, culturally, etc) This can be really broad and involve pretty much anything you want but I believe starting with a strong explanation of this key component will really strengthen your chapter overall. Again, it may seem obvious, but the concept itself is very difficult to pin down in one classification. SH2 Creativity and inspiration. This is where I would discuss what it means to be creatively inspired. I would link this back to your original paragraph in your first heading+ this point you made after your scenario. "'''''Creative inspiration can give people new ideas and motivate them to start creating.''' It can also help people see new possibilities and feel more interested in developing an idea. Inspiration can connect the discovery of an idea with the motivation to pursue it. This is reflected in the distinction between being “inspired by” something and being “inspired to” act on it (Oleynick et al., 2014).''" You may use that piece as this headings finisher perhaps. H2 Effort SH1 Effort. What is it and why is it important? Again, rinse and repeat above. What is effort? Why is it hard? Why do we feel inclined to do it more in certain situations than others? I would recoommend linking in motiviational theories (Perhaps something to do with goals?) for effort or tie it into other models discussed in class when your explain it. I would try to focus more on the motivational explanations here rather than direct application to creativity, for fear of sounding repetitive throughout the chapter. SH2 How effort applies to creativity. Applying the above explanation to creativity. I would definitly tie in some motiviational theories here, particularly to do with success and goals. H3 Insipration - the middle ground between creativity and effort (or some such title, you write what you like). You probably don't need subheadings for this (really depends on your word count so far I guess) but this is where I would discuss the interchangeable socioeconomics of inspiration on creativity/effort/persistence (which is a component you've mentioned a few times in your book chapter so far. When I say socioeconomics, I don't mean the impact of one on the other (I would save that for my final heading/conclusion) but rather the manifestation of them. A theoretical case study could be a good way to do this. Say there are three people, one with objectively high amounts of inspiration, one with objectively higher amounts of creativity, and one with objectively higher amounts of effort. Posing questions to your readers such as "in a task of putting together a lego set, which person do you think would complete the task first?" Would give them a chance to apply the knowledge they've learnt recently. You can then give the answers to each question by explaining the practical application of each component and how that would shape their behavior. I.e. "As mentioned in the efforts heading, person #3 would theoritically be more inclined to complete the lego set faster as the process involves less creativity or inspiration and more effort." Explain, seperate, apply, question, answer. Obviously this is just one option of how you could do this. You may choose to not to and that's also fine. (I would recommend not linking the three components until H4 UNLESS you have enough words/not enough content in H3. Then you may want to make H4 a SH in H3. Again, this is totally up to you, it's just how i would focus on it.) H4 Creativity, inspiration, effort. Here is where I would tie in the three realms youve discussed and then loop it all back into 1. how people can generate more creativity, 2. how they can increase insipration, 3. how they can practice dicipline to increase effort application. Here I would really focus on the application of these constructs into practical senses. Maybe tie it into your first scenario. I.e. how the person applied motiviational psychology to increase their inclination to putting in effort which in turn improved their capacty to be creative as they did not believe themselves to be as limited in terms of skills as they has originally. You have 90% of your information already down pat, I just think it would benefit reorganisation to further clarify the flow of how your model works and tie it in a bit better to real world application. Good job and good luck [[User:Monuc9|Monuc9]] ([[User talk:Monuc9|discuss]] • [[Special:Contributions/Monuc9|contribs]]) 03:07, 9 October 2026 (UTC) ==General feedback== This looks like an interesting topic and I think the overall structure works well. one area that might be worth developing further is the effort -> inspiration side of the relationship. currently there is quite a lot explaining how inspiration can motivate effort, but less on how persistence and continued creative work could lead to new ideas. part of my research question is about goal persistence which is why this probably jumped out to me. A couple of sources that might be useful are: The dual pathway to creativity model: creative ideation as function of flexibility and persistence: https://doi.org/10.1080/10463281003765323 chapter five - the creation and curation of all things worthy: inspiration as vital force in persons and cultures: 10.1016/bs.adms.2020.01.002 - jack4234 <!-- Official book chapter feedback --> {{MEBF/2026 |1= <!-- Overall comments... --> # This is an insufficient chapter # I don't think there was much inspiration or creative effort behind the drafting of this chapter; I suspect that the [[Motivation and emotion/Assessment#Assessment items|recommended 75 hours]] were not invested # The main area(s) for potential improvement: #* use the best psychological theory about the topic #* more detailed review of the best psychological research about the topic #* quality of written expression; overuse of insufficiently acknowledged [[Motivation and emotion/Assessment/Using generative AI]]—express more in your own words #* integrate more strongly with other chapters by using embedded links to related topics <!-- Overall - Edit summaries --> #* Insufficient use [[Motivation and emotion/Wikiversity/Edit summary|edit summaries]] to describe the changes made in each edit <!-- Overall - GenAI --> #* [[Motivation and emotion/Assessment/Using generative AI|GenAI use]] is not appropriately acknowledged: #** Links to chat are not accessible #** No description of the changes made using genAI is provided in edit summaries <!-- Overall – Citations --> # Insufficient use of academic, peer-reviewed citations to support claims <!-- Overall – Word count --> # Over the [[Motivation and emotion/Assessment/Chapter#Wordcount|maximum word count]]. Content beyond 4,000 words has been ignored for marking purposes. <!-- Overall – Copyedits --> # For additional feedback, see the following comments and [https://en.wikiversity.org/w/index.php?title=Motivation_and_emotion%2FBook%2F2026%2FCreative_inspiration_and_effort&diff=2842768&oldid=2839542 these copyedits] |2= <!-- Overview – Comments... --> # Basic <!-- Overview – Scenario --> <!-- Overview – Scenario - Description --> # Reasonably engaging scenario or case study # The scenario reads like unacknowledged genAI content # Abbreviate the scenario <!-- Overview – Scenario - Figure --> # Figure 1 is relevant to the scenario <!-- Overview – Scenario - Feature box --> # The scenario uses an appropriate feature box <!-- Overview – Explains problem --> # Use sentences and paragraphs # Description of problem is too long/overly complicated/generic genAI—explain the psychological problem or phenomenon in a simple way. Move detail into subsequent sections. # Clarity of written expression can be improved <!-- Overview – Focus questions --> # The focus questions are reasonably good # The focus questions could be improved by: ## there are probably too many overlapping questions # Are the focus questions based on genAI? |3= <!-- Theory comments... --> <!-- Theory – Breadth --> # Insufficient use of relevant psychological theory about this topic <!-- Theory – Builds on --> # Build more strongly on [[w:|Wikipedia]] articles and not related [[Motivation and emotion/Book|chapters]] by embedding interwiki links for key terms <!-- Theory – Depth --> # Insufficient depth is provided about key theory(ies) <!-- Theory – Tables/Figures/Lists --> # Insufficient use of tables, figures, and/or lists to clearly convey key theoretical information <!-- Theory – Citations --> # Insufficient use of academic, peer-reviewed citations (e.g., see the {{f}} tags) # If you didn't consult an original source, don't cite it <!-- Theory – Examples --> # Basic use of examples to illustrate theoretical concepts # Use more examples to illustrate theoretical concepts |4= <!-- Research comments... --> <!-- Research – Key findings --> # Insufficient review of relevant research # Insufficient use of relevant systematic reviews and/or meta-analyses # Provide more detail about the methodology and findings of key studies # In many places, the chapter could be strengthened by including more academic, peer-reviewed citations (e.g., see the {{f}} tags). This would help to demonstrate a deeper understanding of relevant psychological science about the topic. <!-- Research – Critical thinking --> # Insufficient [[w:Critical thinking|critical thinking]] about relevant research is evident # [[w:Critical thinking|Critical thinking]] about research could be further evidenced by: ## describing the methodology (e.g., sample, measures) in important studies ## considering the strength of relationships ## acknowledging limitations ## pointing out specific critiques/counterarguments ## suggesting ''specific'' directions for future research |5= <!-- Integration comments... --> # Basic integration between the most relevant theory(ies) and the best research # The chapter places more emphasis on theory than on research; strive for an integrated balance # Rather than describing individual studies separately, synthesise findings across related studies to identify common themes, patterns, and differences in the evidence # Insufficient integration with related [[Motivation and emotion/Book|chapters]] |6= <!-- Conclusion comments... --> # Insufficient as a cohesive summary drawn from human reading of the best psychological theory and research about the topic # Reads like generic [[Motivation and emotion/Assessment/Using generative AI|genAI output]]; write more compellingly in your own words # Highlight the importance of the problem or phenomenon of interest <!-- Conclusion – Key points --> # Key points are summarised in a basic way <!-- Conclusion – Focus questions --> # Address the focus questions <!-- Conclusion – Take-home messages --> # Add practical, take-home message(s) <!-- Conclusion – Word count --> # Only partially counted for marking purposes due to the chapter being over the maximum word count |7= <!-- Written expression – Style comments... --> <!-- Written expression – Written expression --> # Written expression ## The quality of written expression is below professional standard. [https://www.canberra.edu.au/current-students/study-skills UC Study Skills] assistance is recommended to help improve writing skills. ### GenAI is over-used; write more in your own words, based on your own knowledge based on reading the primary sources ### This chapter "spins its wheels" by repeating the same ideas in different ways ## Bullet points are overused. Use full sentences and paragraphs. <!-- Written expression – Layout --> # Layout ## The chapter structure is underdeveloped; expand by using subheadings <!-- Written expression – Figures --> ## Figures ### Very well captioned <!-- Written expression – Figures - Citations --> ### Refer to each Figure at least once within the main text (e.g., "(see Figure 1)") <!-- Written expression – References --> ## The list of references is too brief ## References use very good APA style: ### Check and correct use of italicisation <!-- Feedback responsiveness ---> ## There is no evidence of responsiveness to feedback on talk page |8= <!-- Learning features comments... --> # Insufficient use of learning features <!-- Learning features – Wikipedia embedded links --> # Add more embedded in-text [[m:Help:Interwiki linking|interwiki links]] to Wikipedia articles. Adding interwiki links for the first mention of key words and technical concepts would make the text more interactive. See [[Motivation and emotion/Book/2020/Nutrition and anxiety|example]]. <!-- Learning features – Wikiversity embedded links --> # Add embedded in-text links to related [[Motivation and emotion/Book|book chapters]]. Embedding in-text links to related book chapters helps to integrate this chapter into the broader book project. <!-- Learning features – Figures, tables, feature boxes, scenarios --> # Insufficient use of figure(s) # No use of table(s) # No use of feature boxes other than the opening scenario # Basic use of scenarios, case studies, or examples <!-- Learning features – Quizzes --> # No use of quiz(zes) and/or reflection question(s) <!-- Learning features – See also --> # Basic use of the [[{{PAGENAME}}#See also|See also]] section ## Use bullet points per [[Motivation and emotion/Tutorials/Wiki editing|Tutorial 2]] ## Use alphabetical order <!-- Learning features – External links --> # Basic use of the [[{{PAGENAME}}#External links|External links]] section ## Use [https://www.masterclass.com/articles/sentence-case-explained sentence casing] ## Use alphabetical order |9= <!-- Social contribution comments... --> # ~4 logged, useful, mostly moderate contributions with [[Motivation and emotion/Assessment/Chapter/Summarising social contributions#How to add direct links to contributions|direct links to evidence]] }} -- [[User:Jtneill|Jtneill]] - <small>[[User talk:Jtneill|Talk]] - [[Special:Contributions/Jtneill|c]]</small> 04:04, 27 October 2026 (UTC) 3wxudoxfw5zurvfgzbx7nb1lzomxtd7 0 332156 2844261 2843144 2026-11-03T17:07:14Z ShakespeareFan00 6645 2844261 wikitext text/x-wiki [[Image:Flickr - brewbooks - Angiopteris evecta - Mule's foot fern (1).jpg|thumb|300px|right|This is a fern.]] Polypodiophytes are a group of vascular plants that reproduce via spores and have neither seeds nor flowers. ==Information== Name Meaning: Many foot plant, Polypodium-like plant English Common Name: ferns, horsetails Major distinguishing characteristics: Prothallus gametophytes and vascular system Approximate number of species described: 9000 ==Evolutionary History== The fern crown group is estimated to have originated {{circa|423}} million years ago (mya), during the [[Wikipedia:Ludlow|Ludlow]] epoch and the rapid radiation of Embryophytes, but Polypodiales, the group that makes up 80% of extant fern diversity, didn't appear and diversify until the [[Wikipedia:Cretaceous|Cretaceous]] ({{circa|lk=no|143}} to 66 mya), contemporaneous with the heightened diversification of [[Plant_Divisions_(Phyla)/Magnoliophyta|Magnoliophytes]]. ==Subclasses== Equisetidae – Marattiidae – Ophioglossidae – Polypodiidae ===Extinct=== †Stauropterididae – †Zygopterididae ==Phylogeny== {{clade |style=line-height:140%;font-size:100%;| {{clade |label1=Polypodiophyta |1={{clade |1={{clade |label1=Equisetopsida |1={{clade |1=Equisetales (horsetails) [[File:Equisetopsida.jpg|40px]] }} |label2=Psilotopsida |2={{clade |1=Ophioglossales (grapeferns etc.) <!-- [[File:|60px]] --> |2=Psilotales (whisk ferns) [[File:Psilotum.jpg|60px]] }} }} |2={{clade |label1=Marattiopsida |1={{clade |1=Marattiales [[File:Flickr - brewbooks - Angiopteris evecta - Mule's foot fern (1).jpg|60px]] }} |label2=Polypodiopsida |2={{clade |1=Osmundales [[File:Osmunda regalis Moore50.png|40px]] |2={{clade |1=Hymenophyllales (filmy ferns) [[File:WP2-Hymenophyllum-Exkursion nach Berdorf (Luxemburgexkursion) 011.jpg|60px]] |2={{clade |1=Gleicheniales [[File:Dipteris conjugata 破傘蕨 001 (天問).jpg|60px]] |2={{clade |1=Schizaeales |2={{clade |1=Salviniales (heterosporous) |2={{clade |1=Cyatheales (tree ferns) [[File:Tree Fern (48717210587).jpg|60px]] |2=Polypodiales [[File:The ferns of Great Britain, and their allies the club-mosses, pepperworts, and horsetails (Pl. 2) (8515393495).jpg|40px]] }} }} }} }} }} }} }} }} }} }} ==References== [[Wikipedia:fern]] [[Category:Plants]] [[Category:Taxonomy]] [[Category:Botany]] [[Category:Biology]] 6byxafimnx3lujd05bbemygsdwjws9x 0 332250 2844249 2843133 2026-11-03T16:55:28Z ShakespeareFan00 6645 2844249 wikitext text/x-wiki [[File:Cycas rumphii-IMG 9702.JPG|thumb|300x300px|This is a cycad.]] Cycads /ˈsaɪkædz/—constituting the division Cycadophyta—are Gymnosperms with a stout, woody cylindrical trunk with a crown of large, hard, stiff, evergreen and usually pinnate (feather-shaped) leaves. The species are dioecious, that is, individual plants of a species are either male or female. Cycads vary in size from having trunks only a few centimeters to several meters tall. They typically grow slowly<ref name="Dehgan 1983">{{cite journal |last=Dehgan |first=Bijan |year=1983 |title=Propagation and Growth of Cycads—A Conservation Strategy |url=https://journals.flvc.org/fshs/article/view/95611 |journal=Proceedings of the Florida State Horticultural Society |volume=96 |pages=137–139 |via=Florida Online Journals}}</ref> and have long lifespans. Because of their superficial resemblance to [[Wikipedia:Arecaceae|palms]] or [[/Plant_Divisions_(Phyla)/Polypodiophyta|fern]]s, they are sometimes mistaken for them, but they are not closely related to either groupː palms are [[Plant_Divisions_(Phyla)/Magnoliophyta|Magnoliophytes]], and Ferns are in another phylum altogether. ==Information== Name Meaning: Cycas-like plant, palm-like plant English Common Name: Cycads Major distinguishing characteristics: Seeds, crown of compound leaves Approximate number of species described: 100 - 200 ==Evolutionary History== The oldest cycad leaf is known from the [[Wikipedia:Gzhelian|Gzhelian]] to [[Wikipedia:Cisuralian|Cisuralian]] (around 300 million years ago) of South Korea and China, such as ''Crossozamia''. Unambiguous fossils are known from the early to [[Wikipedia:Guadalupian|Guadalupian]] onwards.<ref name="Spiekermann 2021">{{cite journal |last1=Spiekermann |first1=Rafael |last2=Jasper |first2=André |last3=Siegloch |first3=Anelise Marta |last4=Guerra-Sommer |first4=Margot |last5=Uhl |first5=Dieter |date=June 2021 |title=Not a lycopsid, but a cycad-like plant: ''Iratinia australis'' gen. nov. et sp. nov. from the Irati formation, Kungurian of the Paraná basin, Brazil |journal=[[Review of Palaeobotany and Palynology]] |volume=289 |article-number=104415 |doi=10.1016/j.revpalbo.2021.104415 |bibcode=2021RPaPa.28904415S |s2cid=233860955 }}</ref> The two living cycad families—Cycadaceae and Zamiaceae—diverged from each other at some time between the Carboniferous<ref name="Coiro Allio 2023">{{cite journal |last1=Coiro |first1=Mario |last2=Allio |first2=Rémi |last3=Mazet |first3=Nathan |last4=Seyfullah |first4=Leyla J. |last5=Condamine |first5=Fabien L. |date=2023-06-11 |title=Reconciling fossils with phylogenies reveals the origin and macroevolutionary processes explaining the global cycad biodiversity |journal=[[New Phytologist]] |volume=240 |issue=4 |pages=1616–1635 |pmid=37302411 |doi=10.1111/nph.19010 |doi-access=free |pmc=10953041 |bibcode=2023NewPh.240.1616C }}</ref> and the Jurassic. Cycads were uncommon during the Permian<ref name="Gomankov 2022">{{cite journal |last=Gomankov |first=A.V. |date=June 2022 |title=Cycads in the Permian of thе Subangara region |journal=[[Paleontological Journal]] |volume=56 |issue=3 |pages=317–326 |doi=10.1134/S0031030122030066 |bibcode=2022PalJ...56..317G |s2cid=249627815 }}</ref>, though cycads are thought to have reached their apex of diversity during the [[Wikipedia:Mesozoic|Mesozoic]].<ref name="Coiro 2024">{{cite journal |last1=Coiro |first1=Mario |last2=Seyfullah |first2=Leyla Jean |date=2024-03-14 |title=Disparity of cycad leaves dispels the living fossil metaphor |journal=[[Communications Biology]] |volume=7 |issue=1 |page=328 |doi=10.1038/s42003-024-06024-9 |doi-access=free|pmc=10940627 |pmid=38485767 }}</ref> Even though the Mesozoic is sometimes called ''"The Age of Cycads"'', some other groups of distantly related extinct seed plants with similar foliage, such as Bennettitales and Nilssoniales, were considerably more abundant than cycads during the Mesozoic: the "true" cycads were actually only minor components of Mesozoic vegetation.<ref name="Coiro 2017">{{cite journal |last1=Coiro |first1=Mario |last2=Pott |first2=Christian |date=December 2017 |title=Eobowenia gen. nov. from the Early Cretaceous of Patagonia: indication for an early divergence of Bowenia? |journal=BMC Evolutionary Biology |volume=17 |issue=1 |page=97 |doi=10.1186/s12862-017-0943-x |doi-access=free |pmc=5383990 |pmid=28388891 |bibcode=2017BMCEE..17...97C }}</ref> Fossils assignable to Zamiaceae are known from the [[Wikipedia:Cretaceous|Cretaceous]],<ref name="Coiro 2017"/> with fossils assignable to living genera of the family from the [[Wikipedia:Cenozoic|Cenozoic]]. ==Families== Cycadaceae – Zamiaceae ===Phylogeny=== {{clade|label1='''Cycadales''' |1={{clade |label1=Cycadineae |1={{clade |label1=Cycadaceae |1=''Cycas'' [[File:Cycas revolutaRHu1.JPG|70px]] }} |label2=Zamiineae |2={{clade |label1=Zamiaceae |1={{clade |label1=Diooideae |1=''Dioon'' [[File:Dioon edule01.jpg|70px]] |label2=Zamioideae |2={{clade |label1=Encephalarteae |1={{clade |1=''Macrozamia'' [[File:Macrozamia miquelii Furnas 2015 (01).jpg|70px]] |2={{clade |1=''Lepidozamia'' [[File:Lepidozamia hopei 1.JPG|50px]] |2=''Encephalartos'' [[File:Encephalartos friderici-guilielmi KirstenboshBotGard09292010G.JPG|50px]] }} }} |label2=Zamieae |2={{clade |1=''Bowenia'' [[File:Bowenia spectabilis Daintree 2.JPG|70px]] |2={{clade |1={{clade |1=''Ceratozamia'' [[File:Ceratozamia miqueliana 2zz.jpg|70px]] |2=''Stangeria'' [[File:Stangeria eriopus001.jpg|50px]] }} |2={{clade |1=''Zamia'' [[File:Starr 060905-8736 Zamia furfuracea.jpg|70px]] |2=''Microcycas'' [[File:Microcycas calocoma01.jpg|50px]] }} }} }} }} }} }} }} }} ==References== [[Category:Plants]] [[Category:Taxonomy]] [[Category:Botany]] [[Category:Biology]] mt0yg0db5fs6udm6r1xshud6q9mo4rt 0 332266 2844251 2843135 2026-11-03T16:59:48Z ShakespeareFan00 6645 2844251 wikitext text/x-wiki [[File:Lycophyta.png|thumb|300x300px|These are Lycophytes.]] The '''lycophytes''', are a phylum of tracheophytes that reproduce with spores.<ref>{{Cite web|url=https://www.britannica.com/plant/lycophyte|title=Lycophyte &#124; Definition, Taxonomy, Characteristics, Examples, & Facts |website=Britannica.com|access-date=May 24, 2026}}</ref> When broadly circumscribed, they include the clubmosses. They are sometimes placed in a division '''Lycopodiophyta''' or '''Lycophyta''' or in a subdivision '''Lycopodiophytina'''. The scientific names and the informal English names used for this group of plants are ambiguous. For example, "Lycopodiophyta" and the shorter "Lycophyta" as well as the informal "lycophyte" may be used to include the extinct zosterophylls or to exclude them. ==Information== Name Meaning: Lycopodium-like plants, wolf plant English Common Name: Clubmosses, spikemosses Major distinguishing characteristics: Microphyll leaves, vascular system Approximate number of species described: 1290 living ==Evolutionary History== '''Lycophytes''' are one of the oldest lineages of extant (living) vascular plants; the group contains extinct plants that have been dated from the [[Wikipedia:Silurian|Silurian]] (ca. 425 million years ago).<ref>{{cite journal|last1=Rickards|first1=R.B.|title=The age of the earliest club mosses: the Silurian Baragwanathia flora in Victoria, Australia|journal=Geological Magazine|date=2000|volume=137|issue=2|pages=207–209|doi=10.1017/s0016756800003800|bibcode=2000GeoM..137..207R|s2cid=131287538}}</ref><ref name="isbn0-19-850065-3">{{cite book |author1=McElwain, Jenny C. |author2=Willis, K. G. |author3=Willis, Kathy |author4=McElwain, J. C. | title = The evolution of plants | publisher = Oxford University Press | location = Oxford [Oxfordshire] | year = 2002 | isbn = 978-0-19-850065-0 }}</ref> Lycophytes were some of the dominating plant species of the [[Wikipedia:Carboniferous|Carboniferous]] period, and included the tree-like Lepidodendrales, some of which grew over {{Convert|40|m|ft}} in height, although extant lycophytes are relatively small plants.<ref>{{Cite book|title=Biology and evolution of ferns and lycophytes|last1=Ranker|first1=T. A.|last2=Hauler|first2=C. H.|publisher=Cambridge University Press|year=2008|location=Cambridge}}</ref> ==Classes== Lycopodiopsida – †Zosterophyllopsida ===Genera & Orders ''Incertae sedis''=== †Drepanophycales – †''Nothia'' ==Phylogeny== {{clade |label1='''Lycopodiopsida''' |1={{clade |label1= |1={{clade |label1= |1=Lycopodiales [[File:Lycopodium annotinum1.jpg|60px]] |2=†Drepanophycales [[File:Asteroxylon kz02.jpg|60px]] }} |2={{clade |label1= |1=Selaginellales [[File:Selaginella flabellata.jpg|60px]] |2={{clade |label1= |1=†Lepidodendrales [[File:Lepidophloios reconstrucción.jpg|60px]] |2={{clade |label1= |1=†Pleuromeiales [[File:Pleuromeia restoration.png|60x60px]] |2=Isoetales [[File:Isoetes echinospora 74924873 (4x3).jpg|60px]] }} }} }} }} }} ==References== [[Category:Plants]] [[Category:Taxonomy]] [[Category:Botany]] [[Category:Biology]] mf6zlwbwu6zghhgkokyi2bw2wbdk00d 0 332412 2844242 2844051 2026-11-03T16:37:25Z ShakespeareFan00 6645 2844242 wikitext text/x-wiki =Event= International championship boxing match between British Jem Smith and Australian Frank Slavin on 23 December 1889 in Bruges, Belgium. ==Overview== On 23 December 1889 a championship boxing match in Bruges ended with cheating on the British side: British Jim Smith was losing, so his supporters entered the ring, took advantage of Smith's holding Australian Frank Slavin and beat him up, using fists, sticks, "knuckle-dusters," "life preservers" and boots. The referee ruled the match a draw to prevent Slavin from being killed and then fled. The ''Cork Constitution'' called it "the Smith-Slavin piece of brutality."<ref>"Mr. Abington." ''Cork Constitution'' 14 January 1890, Tuesday: 7 [of 8], Col. 5b [of 6]. ''British Newspaper Archive''https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001648%2F18900114&page=7&article=099&stringtohighlight=mandeville+viscount. Same title and p.</ref> A knuckle-duster was "A metal instrument made to cover the knuckles,"<ref>“Knuckle-duster, ''N.''”  ''Oxford English Dictionary'', Oxford UP,  December 2024, https://doi.org/10.1093/OED/6130372797.</ref> like brass knuckles, and a life preserver was "A stick or truncheon weighted at one end" with lead.<ref>“Life-preserver, ''N.''”  ''Oxford English Dictionary'', Oxford UP,  September 2026, https://doi.org/10.1093/OED/1055046410.</ref> One meeting of the boxing-oriented London Pelican Club was held almost immediately. Then a series of meetings following an investigation occurred in the first week of January (the [[Social Victorians/Boxing/Pelican Club Meeting Smith-Slavin match|Pelican Club meetings]] referred to below). Slavin followed this fight with a challenge for American John L. Sullivan, saying he would fight in America or Australia, but not in a private venue in England. Many, many newspapers covered this fight and the reaction to it in the boxing community. Copy-and-paste journalism and the lack of copyright laws means that many of the stories are all or in part identical to others, so no attempt has been made to offer complete coverage. ==Logistics== * 23 December 1889, 8:00 a.m. * Stakes: £1,000 ==Related Events== * [[Social Victorians/Boxing/Pelican Club Meeting Smith-Slavin match|Pelican Club Meetings about the Smith-Slavin match]] * the "[[Social Victorians/Boxing/Fracas at the Trocadero|Fracas at the Trocadero]]" ==Who Was Present== # [[Social Victorians/People/Mandeville|Kim Montagu, Viscount Mandeville]] # Jem Smith, British boxer # Frank Slavin, Australian boxer # Lord Rosslyn # Sir M. Sandys # Mr. G. Abington Baird, Smith's manager? and horseman (see description in Anthology) ==Entertainment== ==Anthology== The Sportsman The Tuesday, 24 December 1889 issue of ''The Sportsman'' devoted page 3 (7 columns) entirely to this story. This reporter's writing style is very ornate, and he also uses slang and local vocabulary: sabots, Brums, Newspaper Title: The Sportsman 24 December 1889, Tuesday: 3 [of 4], Col. 1a–7c [of 7]. British Newspaper Archive https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18891224&page=3&article=057&stringtohighlight=mandeville+viscount. Same print title and p. THE GREAT FIGHT. SMITH & SLAVIN FOR £1000. DISORDERLY PROCEEDINGS. BRUTAL ATTACK ON SLAVIN. SMITH KNOCKED DOWN REPEATEDLY. HE LEAVES THE RING. A DRAW DECLARED AFTER 14 ROUNDS. The long-talked-of fight between Jem Smith, Champion of England, and Frank P. Slavin, Champion of Australia, took place between eight and nine o'clock yesterday morning in the private grounds of a gentleman's residence near Bruges, Belgium. The contest, as everybody knows, was for 1000''l''. Thanks to the most cowardly and disgraceful behaviour of a gang of ruffians in Smith's corner, the referee was forced to declare the fight a draw at the close of the fourteenth round. Full details are given below. THE JOURNEY TO THE CONTINENT. (By our special reporter.) [?] travellers accustomed to make long and frequent journeys do not trouble themselves much about starting. The pangs of parting are easly effaced, and after a few years of "globe-trotting," as the Yankees are pleased to call it, beyond looking after personal comforts the travelling Briton has very little trouble. I have made many notable journeys upon all sorts of errands, but must confess that entering upon my last jaunt brought not a few  qualms — other than those likely to be experienced at sea. The preliminaries of the international fight, which was the reason of the trip from town, had not been carried through without many untoward circumstances arising to spoil the fun. On Saturday, however, there was every prospect of the business being brought to a successful termination, and when word was brought me that on the following morning our party were to leave London at an early hour there was no need for further hesitation, and preparations for the journey were rapidly made. What a day it was! Rain of a most annoying and penetrating kind fell until well into the night, making every one hurry to bring their day's business, or pleasure, to an end, that they might get indoors out of the dismal, depressing weather. Just as I had thought all safe for the [night came] A Rude Shock. [Arriving??] at the office of THE SPORTSMAN I found a well-known sporting journalist, whose expressive features at once conveyed to my practised eye that "something had happened." His right hand convulsively clutched a telegram, and it was quickly patent that this innocent-looking piece of paper was the cause of the trouble. "What do you think of this?" asked he, handing over the document. Only a few words were pencilled thereon, but these were enough to cause us alarm. "Stoppage, but think can get bail. — Slavin." Here was a pretty "go," the mystic words being translated meaning that the Australian had been "pinched" at Margate. Before we had thoroughly grasped the situation a second wire arrived containing the definite information that Slavin had been arrested at the Kentish watering-place and that he had a difficulty in finding bail among strangers. This dire news sent our spirits down to zero. Two acts of the little drama we were enacting had been very depressing, but the third brought sunshine again. Close upon the heels of the second telegram came a third, and it was with trembling fingers that at the request of my friend I opened the missive. A glance was enough — Slavin was free, and on his way to Dover. This sent us home satisfied that all would be well on the morrow now that both the principal actors in the contest were on the spot or nearby. Daylight brought with it A May Morning. Long before the earliest purveyor of the lacteal fluid arrived in the quiet suburban street to wake the sleepers with his hideous yelping, a cross between that of a beaten dog and a Comanche Indian, I had turned out, as there was no time to be lost. It was a delightful morning, the rain clouds having vanished, and being replaced by brilliant sunshine the weather being more akin to early summer than that usually associated with late December. The early promise did not last, as before eight o'clock the south-westerly breeze brought up rain clouds once more, and a fine free sample of "London peculiar" had taken possession of the streets as I wended my way towards Cannon-street Station. Ten o'clock was the hour named, but half an hour before that time several of the party had arrived at the trysting place. First to be noticed was Bob Habbijam, in company with two less-known sports, and this trio had not the dim terminus long to themselves. Jack Lewis, looking "all broke up," put in an appearance a few minutes later, while at the same time three scribes with pockets bulging from a surplusage of note-books dropped in. It was very soon evident that the company would be much larger than intended, as cabs rattled up continually, bringing a further complement. Tom Smith, Bob Kirby, Barney Sheppard, "Pop," and Frank Hinde were the next to join us, and in quick succession came Teddy Bayley, Will Riley, and Joe Vezey, who was to occupy the unthankful office of referee. According to the original conditions, a number of the intending spectators should have proceeded by way of Calais overnight, but by some means or other they managed to miss the train, and it was owing to this fact that so many were present on Sunday morning. There was no disguising the fact that such a crowd would draw attention, and militate against the secrecy necessary to insure us against intervention. There was no help for it, however, and before the Continental express came in from Charing-Cross "The Squire," Ike White, J. Kilby, C. Horton, C. Parsons, and J. Fleming had swelled the ranks of the ''voyageurs''. Down to Dover. It was only by judicious squeezing and packing that room could be found for all in the train, already well freighted with passengers, but eventually everyone managed to find a corner, luggage being conspicuous by its absence. I had a real sportsman for companion, Jack Kilby, of the Ferry Hotel, Cookham. Having missed the train overnight, not to be thwarted of his promised journey he arranged to proceed to town by road in the early morning. Instructing two lads to sit up through the night so as to be awakened in good time, Kilby turned in. At four o'clock he had the horse put in the shafts of a dog-cart, and drove slick away to Cannon-street. It was a particularly quiet trip, broken only by stoppages at Ashford and Folkestone, where some of the irrepressibles saw fit to leave the train and perambulate the platform. This, to say the least of it, was a foolish proceeding, as it fairly "gave the game away," and there was almost an air of expectancy about the officials when, after a run of nearly two hours, the South-Eastern express pulled up on Dover [Col. 1c–2a] Pier. Thoughts of coming trouble had ere this sobered down the playful ones, and it did not add to their joy when, looking seawards, they saw what is known as "dirty" weather in store. On the Briny. The transfer of passengers from the pier to the deck of the Princess Henriette was rapidly effected, and "once on board the lugger" my fellow-travellers disappeared as if by magic, but as rapidly came to light again, having, in view of developments likely to appear later, made arrangements below. There was a general changing of headgear, the bowler being discarded for the more useful tight-fitting cap — and what a variety were donned! As on the appearance of the clown in the pantomime, now the fun commenced. Before noon, when the hawsers were cast off, several shining lights in the boxing world prepared for the worst, the long rollers which broke in against the pier giving them the greatest alarm. Many had never previously ventured upon anything of a more stormy character than the Thames, and but for the fear of reproach would have turned back. As the "Princess" swung off from the pier the two "Bobs," Kirby and Habbijam, betook themselves to the "rail" in expectation of an attack of ''mal de mer''. What a pitiable sight they presented, but in a few minutes they found many brothers in misfortune, Tom Smith caving in. For a time it was a bit rough, and one of the good sailors commenced quoting Byron. "O'er the glad waters of the dark blue sea," sang he. Well, it was not too cerulean, but there was no question as to its gladness. The English Channel is generally built that way, and it was evidently making extra merry on account of the season. Once away from the shore-swell it was smooth enough, and the sickly division came round wonderfully. Frank Hinde, who played his old part of low comedian, amused them, and at length by his wonderful flow of spirits — animal and otherwise — had the worst cases on their legs again. A few exceptions there were, half a dozen or so of the swells having "sought the seclusion which the cabin grants," and there they stayed. Our low-comedy merchant now found a a [sic] serious rival in "Pop," and between them they kept the coterie on the quarter-deck from being dull. Yarns were spun by this pair of drolls, and the merry jest went round until more substantial fare was in request at the table. Both the aforementioned did their share, the way Hinde put away the humble yet satisfying cold meat and pickles causing intense envy in the breasts of the less hardy mariners. A very quick passage was made across the streak, and at half-past three the coast appeared in sight. At the same time rain commenced to fall, and as we steamed past the lighthouse on Ostend breakwater it came pelting down sharply. At a quarter to three the good ship was secured alongside the wharf, and out came the lost sheep looking white and miserable, one passenger, although not of us, who had sat on deck more dead than alive the whole way over, fairly dancing with joy at his release from the purgatory of sea-sickness. Ostend to Bruges. While those unfortunate enough to be hampered with luggage stood by for the purpose of having it searched the rest of us secured seats in the train already drawn up alongside. It was then discovered that we did not start for half an hour, and the interval was turned to account by a  visit to the buffet. ''Cafe-au-lait'' was the general order, and mightily refreshing it proved to be. Everything comes to him who waits, but before the journey was continued sharp to the time mentioned, it was very patent that our descent upon Belgium in such numbers had attracted much attention. One dark-bearded "foreigner" who had watched us closely on the way across, actually grew so confident that he had exploited our movents that he grew bold beyond discretion. Coming forward with all the effrontery imaginable he rather startled us by asking, "Well, when is the 'mill' coming off?" In a twinkling one and all assumed a look of stony indifference, and on the question being repeated he was forcibly yet politely informed that we had nothing to do with any "mills." As we left the station our inquisitive friend was seen gesticulating to a belaced Ostender, evidently proud of his perspicuity. Thirty minutes' run through the flat and thoroughly soaked country brought the gable roofs of ancient Bruges in sight. Night had not yet darkened the streets, but there was mist enough to hide our movements to a great extent. It had been agreed that the brigade should split up as much as possible and spread themselves over the city. This was done in a great measure, Tom Dunning piloting my section across the  broad station-square to the Hotel de l'Univers. On the threshold I met Mick Taylor, who naturally looked somewhat aghast at the advent of so big a muster. It must have surprised him still more when others strolled in, and eventually the Britisher's party reached no less than fifteen. Fortunately our worthy host had plenty of available room, and after climbing up the winding stairs the whole troupe were comfortably housed. Water was at a premium, while soap could only be obtained by borrowing from the one or two lucky ones who had thought to bring that useful saponaceous compound with them. Entering the saloon after an outward and inward refresher, I ran across Josh Cosnett, and close behind the Brum stood, Frank Slavin, looming fine and large. The Australian Champion looked in grand condition, his face bronzed by the sea air and the toughening preparation he uses. Gently puffing a cloud from his Belgian weed, he greeted the arrivals cheerily, and was as skittish as a kitten, his hearty laugh resounding through the establishment. He had a very favourable passage across Channel the previous night, and amused himself by strolling around the city during the day. It was a piece of good fortune that not only could the ''garçon'' speak English fairly well, but at least two of my companions were conversant with the language of the country; negotiations anent dinner were therefore carried out with celerity. Pugilism at the Piano. While awaiting the refection Slavin opened the piano which stood at one end of the ''salle-à-manger'', and dashing his lingers over the keys coon gave evidence that he was no mean performer on that instrument. Waltz, polka, and march all came as one to him. What a staggerer this would have been to the old timers, who never dared to allow a man in training such liberties. There was not the slightest sign of fear for the result of his coming encounter, and, in fact, Slavin appeared the least interested of the crowd. His piano selection whiled away the interval before dinner, at which the Australian presided. Taking his place at the head of the table Slavin entered into the fun, and no one would have conceived for a single moment that he had such a weighty matter on his mind as a fight. The repast was a lingering affair, and Slavin retired half way over the course, and betook himself once more to his favourite piano, which he wrestled with on and off during the remainder of the evening. While we were enjoying the good things under the roof of the Hotel Univers the rain had increased, and a perfect downpour succeeded. This had the effect of keeping the majority confined to the house, but several of the more venturesome spirits proceeded to explore the city, and they at any rate got a good drenching for their pains. The "pelting of the pitiless storm" continued the greater part of the night. Arrival of Jem Smith. The Champion of England, accompanied by Jack Baldock, Jack Harper, Jem Carney, and several other henchmen, came on from Lille at six o'clock, and arrived at Bruges about 8.30, taking up their quarters at the Hotel de Londres. Jem Smith, after leaving London on Friday, had travelled by easy stages to the Belgian frontier, so as not to miss a meal or proper night's rest and exercise between. He looked wonderfully well, having worked off much superfluous adiposity during the last few weeks' training. Unlike his opponent, Smith kept very quiet during the evening, and retired early. A meeting of the representatives of the men took place at a late hour, and in company with the owner of the ground and others interested, the final arnuigements were made. I was present to assist at this necessary proceeding, and so perfectly had all the preliminaries been settled that there was very little left to be done[.] Owing to the presence of a mob of Birmingham men, who by some means or other had made their way to Bruges, there was fear of interference, but every precaution was taken to defeat anything disagreeable occurring. The behaviour of many in the streets during the evening was not calculated to assist those who desired to see a fair and square battle. Strict orders were given to the ''garçon'' to call us at 5.30 sharp, and to make assurance doubly sure many affixed their names on bedroom doors. Punctually to the moment came the rat-tat on the panel, and a hasty toilet was made by the light of the dip. A glance through the window reassured us with respect to the weather, the rain having ceased, but it was yet too dark to get any idea of the future. Even thus early the patter of sabots on the stones outside betokened the fact that Bruges, sleepy as it is said to be, was well awake. When the sounds from the famous belfry announced six o'clock [Col. 2c–3a] the bulk of the dwellers in the Hotel Univers had found their way to the ''salle-à-manger'', or "the manger" as "Pop" expressively named that apartment. Tea, coffee, fillets de bœuf, and chops were discussed, and the early birds had only been fairly started when with a cheery "Good morning, gentlemen," Slavin appeared. He lost no time, and was soon busy with knife and fork. Time flew by rapidly, and there were signs of an early daybreak. This hurried on the final preparations. Bills were paid, creature comforts taken on board, Slavin, with the greatest ''sangfroid'', seeing to his own business as unconcerned as possible. Our pilot put in an appearance shortly after the half-hour had chimed, and informed us that the other sections had already gone on. The March to the Battlefield. Breaking into groups of half a dozen the advance guard, led by an English resident in Bruges, pushed on, but before going two hundred yards there came a check. The railway had to be crossed, and just as the leading division reached the line they found the gates closed. Although opened in a couple of minutes it allowed the party to amalgamate, but they soon filed out agent. Many streets had to be traversed, and in the now increasing light we were scanned by groups of workmen and workwomen who were on the way to the many factories in the neighborhood. Talking except in whispers was tabooed, so that our nationality might not be discovered, and without further incident a walk of twenty minutes or so brought us to the chosen spot. Entering the private grounds by a wicket-gate, there was light enough to see that the others were present standing among the trees. Four moving objects suddenly appeared as we crossed the garden carrying some white posts, which quite gave Joe Vesey a fright. The principals were hurried off to comfortable quarters near by, Smith having the stable to make his toilet in, while Slavin was accommodated in a barn. Proceeding towards a big plantation I found several quietly at work Building the Ring. Between two belts of trees, formed chiefly of firs and beeches, was a clearing forty feet wide, and here the turf had been swept clear of the fallen leaves — in fact, a native, whose gigantic sabots caused much amusement, was still busy with rake and roller[.] Barney Sheppard superintended the pitching of the ring, an operation which took some time. Eight heavy stakes had been provided and plenty of rope, but the ground was very soft after so much rain, and wedges and guy-ropes had to be freely utilised. There being no tape, the distance was measured out by strides, and when eventually the job was finished it was plain that plenty of room had been allowed. The spectators amused themselves in various ways until, when the clock struck eight, all was in readiness. It was now broad daylight, and as several rustics on their way to employment caught sight of the, to them, peculiar proceeding, and stopped to more closely examine, the place did not promise to be free from interruption. All went well, however, and as the business did not concern them they passed on. There was some delay at this point, and it was close upon half-past eight when the men were reported ready for the fray. The following comprised the company round the ring: — Lord Mandeville, Lord Royston, Hon. M. Sandys, Mr Abington, Mr F. Kotchie, Mr J. Kilby, Mr C. Parsons, Mr Ike White, Mr W. Riley, Mr C. Morton, Mr Harris, Mr E. Bayley, Mr J. Lewis (Australia), Mr J. Vesey, Mr F. Hinde, Mr J. Fleming, Mr M. Taylor, Mr J. Calder, Mr G. T. Dunning, "Pop" Joy, R. Habbijam, G. ("Barney") Sheppard, Jem Carney, Tom Smith, Mangie [?] Hyams, Matthews, Summers, Boulton, and several others, including two or three reporters. Smith, accompanied by his seconds, J. Harper and J. Baldock, entered the ring, quietly going over to the south-west corner with hardly any notice. Baldock at once wanted to know why Slavin had not turned up, and was inclined to be nasty, when the Australian walked briskly to the opposite corner, having, without the customary teasing for choice of positions, allowed Smith to take the higher ground. Josh Cosnett and Bob Kirby accompanied the Australian Champion as seconds, while Mick Taylor superintended the arrangements in his corner. A loud cheer greeted their advent. There was a few minutes' delay after the men had taken up positions, owing to Slavin not being provided with a seat, and Baldock again wished to hurry him up, but matters proceeded peacefully. Mr Joe Vesey, who had been appointed to the unthankful post of umpire, took up a position on the lower side midway between the corners, and Mr J. Calder was selected as timekeeper. On either side of the referee Mr J. Fleming, umpired for Smith, and Mr W. Riley for Slavin, these preliminaries being quickly settled. The disposition of the officials made Slavin's corner appear the stronger, and to still further add to this, a large percentage of the spectators selected that side, so as to get their backs to the wind. Another, and, perhaps, a more potent reason was the fact that The Dreaded Birmingham Division had massed themselves behind Smith and along the higher aide. They had long caused considerable fear among the spectators, but were not so noticeable until they stationed themselves in a phalanx near the Englishman. While the corners were being arranged several of the "boys" worked their way round to Slavin's quarters and stood menacingly by. Mick Taylor was too old a bird to be caught, and with the assistance of Prank Hinde, Lord Mandeville, and one or two trusty friends, guard was kept over the water and other articles. Every necessary for the two athletes had been provided by the proprietor of the grounds, so that there was no trouble on this score. Smith was wrapped in a heavy frieze overcoat, while Slavin, who, during his sojourn in the barn had been divested of his heavy moustache — a loss he deeply regretted — was also covered by a big ulster. It was now half an hour beyond the time fixed for the commencement of hostilities and broad daylight, even the belfry of Bruges being plainly visible in the distance, but curiously enough not a soul beyond the pugilistic party was anywhere near the fighting-ground. At last everything was ''en règle'', and in perfect silence Mr Joe Vesey came forward and said, "I hope all those present will keep quiet and help me all you can," at which brief speech there was a chorus of "hear, hear," especially from Slavin's corner. At 8.35 Belgian time, the two antagonists met in the centre of the arena and shook hands, the seconds, as in time-honoured fashion, doing likewise, forming what is known as the Maltese Cross. Smith, who partook of a draught before commencing, was the first to peel, and although he looked fine enough in the face, when his covering had been removed he appeared fat, although nothing like so obese as when he met Peter Jackson. The Englishman wore short white drawers and green socks, while a strengthening plaister adorned his waist. Slavin looked the picture of health and strength, having trained down very hard, his muscles standing out most prominently. He was clothed in long black drawers and blue stockings, and, like his opponent, wore a deep plaister. In addition Slavin used a suspensory belt loaned to him by Charlie Mitchell, who had found it of great service in his fight with John L. Sullivan. Under weather, which for the business in hand was simply perfect, and particularly warm for the time of year, there was, as far as could be seen by the uninitiated, every prospect of a good [Col. 3c–4a] fight. This was doubted by the majority, the presence of the crowd of roughs betokening trouble when once the battle should commence. The Call of "Time" At twenty-five minutes to nine brought everyone to the ropes, and amid perfect silence the pair of pugilists shaped for the encounter. Slavin from the first smiled confidently, while Smith looked serious. Neither appeared in any hurry to begin, and sparring for an opening, Slavin gradually worked Smith back into his corner. Fifty seconds elapsed before a blow was struck, but this had not passed without our opinion being confirmed, that we might expect trouble from the Brums. Smith's seconds set the ball rolling by hurling the vilest of epithets at the Australian, and their example was followed by their supporters. By some oversight the seconds had not been ordered out of the ring, but attention was at once called to the fact, but, constituting himself referee, Baldock refused to obey the order to retire when given by the appointed officials. This boded ill, and before a round had been fought it was pretty plain to all that Slavin would have little chance of victory. Had the objectionable party confined themselves to vituperation this might have been borne, but going from bad to worse we soon witnessed a scene that was not only a blot upon the good name of Englishmen as lovers of fair play but one never equalled even in the worst days of the ring. Slavin was the first to lead, but only tapped his opponent lightly on the face, and he had the best of several exchanges, but did not put forth all his power into his left-handers. Smith's blows were also comparatively harmless, until the last half minute, when they got to close quarters and hammered away sharply amidst a chorus of yells from the Smithites, until they fell together. No sooner were the two men down than Baldock rushed up, and in picking his man up knelt on Slavin. A foul was claimed, but no notice was taken of it, although it was very palpable. Warnings were given to the Australian not to go into Smith's corner, but without avail, and he entered upon the second round full of pluck and confidence. Language — if such filthy expressions as were levelled at Slavin could be so designated — of the violent kind greeted him on facing Smith, and this was not confined to the hired mob. Those from whom at least fair play might reasonably have been expected indulged in blasphemy and rowdyism even more pronounced than that of the others. To still further disconcert Slavin a claim of first blood was made. The moment he walked across the ring Smith worked up close at once, and on rushing in was met with the left on the mouth. A brief struggle ensued before they fell together, Smith while on the ground spiking Slavin in the thigh. A foul was again claimed but the referee was so badgered that he could hardly have known where he was, and no notice was taken of the occurrence. In the third round, again a short one, Smith was Knocked Down By a cross on the jaw, and he came up looking the worse for wear next time, while the blackguards in his corner were more threatening than before. Smith again waited in his corner, and, nothing daunted by their menacing attitude, Slavin boldly went after him. As he advanced he was assailed by the miscreants, who now saw that Slavin was getting the best of it, and when after another round had been fought, in which Smith began to blow freely, the Australian was near the ropes he received a blow from one of their number. Every time Slavin was forced to fetch Smith out of his corner, where at this early stage the ropes had been loosened. In the sixth round Slavin now warmed up, sent home a hot left-hander on the right eye, from which the ruby fluid ran freely. This he followed up by some sharp work, eventually fetching Smith down with a vicious right-hander. This treatment of their "Champion" did not suit the villanious [sic] coterie, and Slavin went across the ring next time at great risk. Smith worked Slavin round to the ropes, and while there the dastards held him for the Englishman — save the mark! — to punish, and there was an indescribable scene of confusion. Still, Slavin would not be denied, and in the eighth round sent the right heavily on the jaw, and fairly knocked Smith off his legs. In the following round Smith received a smash on the mouth, but Slavin was terribly handled by the outsiders, who punched him freely while in holds. Smith up to this had hardly made a mark on his antagonist, and beyond a cut on the lip he showed no signs of punishment, but the cowardly ruffians who assisted the "Champion" wounded him severely. So vile was the conduct that the referee was, like every one else had long been, thoroughly disgusted, and he tried without avail to put a stop to it, calling upon Harper to "be a man." Smith was generally short in his deliveries, and Slavin, paying more attention to the body had doled out some telling work. In the twelfth round Smith was felled in his corner, and this brought a crisis. The latter broke away from Slavin's attempts to get on with the left until he was almost backed up against the corner stake, when the Australian dashed the left on the face. No sooner was he fibbing away than the ruffians crowded up and showered blows on his head. In the midst of the mélée a cry of "Here they are" was raised, and A Stampede Ensued from Smith's side. It was evidently a concerted plan, as when the leaders found that no one stirred from Slavin's corner they actually came back, and pointing to the roadway, yelled, "There they are, there they are." By this time Smith had run a hundred yards away towards the house, and Slavin's party, under Rule 26 [?] claimed the fight, but to no purpose. The confusion ensuing upon this manoeuvre looked like putting an end to further fighting. Slavin, who had shown not only admirable pluck and judgment, but also kept his temper, was quieted down when he thought there was yet a chance of winning. Smith was fetched back again, and time was called. Slavin, before putting his hands up, addressing his remarks to the crowd at the other side of the ring, said, "Are you Englishmen? I am an Englishman, and only want fair play." The fight then proceeded. Seeking to settle matters now that he had Smith weakened, Slavin went right over to Smith, and planted the left sharply on the body twice, and then dashed in with both bands, landing on the jaw. As they closed someone of the brutal mob struck Slavin on the right ear again with a "duster," the referee saying, "I saw that." As Slavin threw Smith and the mob again became aggressive, Vesey, who could stand it no longer, said, "I refuse to act any longer. It is impossible for this man — pointing to Slavin — to get fair play." The referee concluded by giving the decision, "It's a draw." The mob heard this with fiendish delight, and at once cleared off from the ring-side. Slavin could hardly contain himself, shouting "There is not a man round the ring can kill me. l came 16,000 miles for a fair fight, and why don't you give a man a chance." There was no help for it, and the latest fight for the Championship ended under circumstances which brought the greatest discredit upon those who were responsible for [Col. 4c–5a] the presence of the wretches, who were prepared for any villany [sic] to prevent Smith being defeated. Not satisfied with their performance at the ring-side, they followed him to his temporary dressing-room, but were soon persuaded to leave him alone, which was perhaps fortunate for at least some of the party. Jem Smith had a carriage in waiting for him, and was rapidly carried off to the town, where it was intended to stay for some hours. There was a rush to the telegraph-office to send messages to interested friends, but only a few minutes were available, as at least a third of  the party intended Making All Speed Homewards. The Ostend train was waiting in the handsome station, and there was no time to be lost[.] Slavin, who walked the whole of the way back into town, was hurried into a first-class compartment, where he made himself comfortable in a corner with a cigar. There was a crowd of hangers-on in and around the station, who evidently were by this time aware of the nature of the morning's work, but without further incident the train steamed out of Bruges. Arriving at Ostend at 10.15 we found the Comte de Flandres ready to receive passengers at the quay-side. This boat is not to be compared with the Princess Henriette, being much smaller and less seaworthy. Slavin had a deck cabin prepared, and therein held a levée, champagne and other sparking wines being ordered up. The Australian, under the careful hands of Mick Taylor, had the cruel wounds inflicted by the ruffians at the ring-aide attended to, and by the time the boat was clear of the offing Slavin was fixed up in shape and paraded the deck. Everyone talked of the fight and its terrible surroundings, and nothing but the severest condemnation was accorded the Englishman's party. One gentleman, who was wearing Smith's colours, was so disgusted that he threw them overboard, and replaced the kerchief with one bearing Slavin's monogram. Dover was reached in due course, a big crowd awaiting Slavin's arrival on the pier, but, shorn of his moustache, he was hardly recognised. He proceeded thence to Margate with M. Taylor and J. Cosnett, where another ovation awaited him. The other portion of our company journeyed direct to London, and on detraining at Cannon-street there was a crowd collected to gather news from the seat of war. Smith was to leave Bruges during the evening, and all being well will arrive in London early this (Tuesday) morning. THE FIGHT. First Round. Slavin left his corner quickly, with a firm, determined step. Smith was much slower in his movements, and the Australian had almost reached his opponent's corner when the men were face to face. The disparity in the height of the men was very marked, Slavin standing well over the Englishman. Each wore a deep strengthening plaister, whilst Slavin, it may also be added, made use of the suspender worn by Charley Mitchell in his memorable fight with John L. Sullivan. Full of confidence, and evidently in splendid condition, the colonial looked every inch a fighter, his length of reach, and lithe, agile movements contrasting strongly with the lumbering position struck by Smith. Though fairly clean in the face Smith looked very heavy below, and undoubtedly carried too much flesh for the business he had taken in hand. Great caution was exercised on both sides, and it was seen that neither man intended to throw the slightest chance away. Weaving in Slavin feinted with his left, but Smith was quickly out of danger, and in turn Slavin dodged an intended blow from the Englishman's left. In this manner fifty seconds sped on, after which Smith got in lightly on the month. Exchanges of a light character followed, Slavin reaching the body and Smith the face. Subsequently the latter, who seemed considerably puzzled by the Australian's style, several times led out of distance at the head, Slavin on each occasion breaking ground very prettily. At last the men got to close quarters, where some sharp infighting ensued. Slavin made the body his mark, where he put in heavy work with the right, Smith in the meantime visiting his opponent's head. The Australian's blows seemed to take the most effect, and the round ended by Slavin having the worst of a fall. Time, 2min 30sec. Second Round. No sooner had the men been removed to their corners than Jack Harper called out in a very loud voice, "First blood," a claim which was of course allowed, the Colonial showing a slight trickle from the lips. On "Time" being called the pair were quick to scratch, that is to say, Slavic walked right across to Smith's corner, the Englishman refusing to come out. A long opening spar took place, but at length blows were exchanged, nothing very serious being done, and closing, the pair had a slight struggle, both falling together. Whilst on the ground a good deal of kicking and struggimg was indulged in, and whether intentionally or no Smith spiked his opponent on the inside of the left thigh, tearing his drawers, and causing the blood to flow considerably. Uproar followed, the round lasting 20sec. Third Round. Though up to this time neither man had sustained much punishment, the exchanges not having been very severe, Smith was always carried to his corner, Slavin, on the other hand, walking beck to his. At the beginning of the third round the referee ordered the seconds out of the ring, but they declined to go, saying that official had no power to order them to do so. On starting Smith forced the fighting, and leading with the left, hit Slavin upon the body. This he followed up rapidly with two more in the same place, all light hits, and some rapid exchanges followed, the Colonial using the right with effect upon the side of the head. Smith paid principal attention to the body, but at length Slavin, drawing back the right, shot it out straight from the shoulder, catching the Englishman fair on the point, and sending him down all of a heap. This magnificent delivery put the Slavinites in excellent spirits, the Colonial smiling all over his face, while the Smithites looked serious. First knock down blow was claimed, and, of course, allowed for Slavin. Time of round, 24sec. Fourth Round. Smith rose from his seat looking very serious indeed, Slavin, on the other hand, being in much better spirits. At the same time a suspicious movement was noticeable among the brigade of Birmingham ruffians, and one of them came round to the Colonial's corner with no good intentions. Had it not been that Mick Taylor and Frank Hinde kept zealous guard over all the water provided for the use of the combatants, there is no knowing what fiendish trick might not have been perpetrated. The remainder of that party stayed in Smith's [Col. 5c–6a] corner. As for the seconds, all remained in the ring. The opponents sparred for the first twenty-five seconds, and at length Slavin, getting an opening, led out of distance at the body. The Englishman seemed glad to have a blow, but Slavin weaving in delivered lightly with the left upon the cheek. Again the pair faced each other in the centre of the ring, and Slavin went for his man, and feinting with the left, just failed to bring off the right, Smith skipping out of the way. Again the Antipodean feinted with the left, and following up the charge, this time successfully caught Smith flush on the mouth. Then quick as lightning getting to close quarters, Slavin delivered heavily right and left on the body, Smith being very slow in responding to this vigorous attack. He had, however, other assistants, for a vile ruffian from over the ropes deliberately struck Slavin a blow on the head. A shout was at once raised, but when charged with it the rascal denied that he had done anything. A scuffle ensued between the men, and to escape from the difficulty Smith cross-buttocked his opponent, who fell, the seconds, rushing to the centre of the ring, falling over them. Time, lmin 15sec. Fifth Round. "Don't go into his corner," urged Taylor and others of Slavin's party to their man, but nothing could restrain him when time was called, and, springing up with a bound, he advanced towards the opposite comer, where Smith was standing up. Once or twice the Englishman seemed inclined to go into the middle of the ring, but was always prevented by his yelling seconds, who stood on either side of him. On toeing the mark Slavin appeared with a suspicious-looking redness of the left eye, caused by the miscreant above referred to. Though appealed to the referee declined to give any decision on the subject, and the fight proceeded amidst some of the most horrible language it has ever been our misfortune to listen to. This proceeded entirely from Smith's corner, who, seeing that their man was already beginning to blow and look distressed, prepared to stop at nothing. Slavin, after wasting a second or two, followed Smith into his corner. One or two exchanges, quickly delivered, of a light nature took place, and the Colonial got in on the body with the right, following up with the same on the head. This Smith considered ample justification for sinking gracefully upon the ground, the round having lasted only sixteen seconds. Sixth Round. Smith came up blowing Iike a grampus, whilst on the other hand, Slavin, seeing his advantage, was eager to begin. Of course, it was necessary to go right over into Smith's corner, that worthy not moving two feet from his chair, whilst the shouts, jeers, and din which greeted the Australian were of an inexpressibly disgusting nature. Still, nothing daunted, the Antipodean followed his man up, Smith leading at the head. This Slavin easily turned aside by a lithe movement, and in turn was stopped by Smith. Resuming, Slavin banged in the left on the mouth, Smith countering on the body. A smart counter ensued, and at this juncture the referee entered the ring, making a fruitless appeal to Smith's corner to behave themselves. Nothing, however, could silence the foul language which proceeded from that quarter. Once more facing each other, the Australian shot in the left fist heavily on Smith's left eye, opening a severe cut, which bled freely. Some vicious infighting followed, and Smith twice got the right in upon the head. Slavin countered with a terrific right-handed blow on the eye, knocking Smith down. Time, 1min 20sec. Seventh Round. In vain did Slavin's friends implore him not to go into Smith's very "warm corner." It was plain that if he did not do so there would be no fight, Smith never coming many feet away from the rascals who had been hired to protect him. Getting to close quarters Smith delivered the left lightly upon the face and banged in directly afterwards the right on the body. Slavin did not see the Englishman having matters all his own way, and a desperate rally took place, during which Smith fought Slavin on to the ropes, and there held him. Here was a grand opportunity for the miscreants, who did not fail to make use of it. One of them kicked Slavin repeatedly, and others beat him about the head, whilst, naturally, Harper and Baldock were yelling at the top of their voices. The confusion wars something terrible, and the ring looked very much like being invaded. The ropes in Smith's comer were pulled right down, so that an entrance might be effected at any moment, and it was a relief when the pair wrestled and came down in a dog-fall together, the round having lasted one minute. Eighth Round. Crossing over at once to the only place where Smith was to be found (''i.e.'', in his own corner), Slavin worked his opponent round to the side of the ring, and there let him have the left lightly upon the face. Standing at this moment close up to the ring-side, the Colonial received a couple of smart blows from a stick which a ruffian coward carried.  An immediate cry went up, and the individual finding himself under very close observation immediately slunk behind. Taking not the smallest notice of these interruptions Slavin pursued his legitimate opponent, both Smith's following him about and jeering in his face. Again the referee entered the ring, and cautioned the seconds to move away. This had very little effect, and in the midst of half-arm fighting of a very severe kind, Smith, who was receiver-general, judged it advisable to seek mother earth.  Time of round, 1min 30sec. Ninth Round. This was altogether a very curious round. When time was called Slavin got up to find his opponent, who barely moved a foot from his chair, and this fact  should have been sufficient warning that something awkward was intended. In the corner the two sparred for about fifteen seconds amidst a horrible din. Finding that the Englishman was in no hurry to begin, Slavin made the first movement, and landed with the left lightly on the head. Following up this, he brought the right round heavily on the dial, making Smith wince, but a second blow in the same quarter was avoided. Still in the corner, the pair got to half-arm fighting, once more bringing them close to the ropes. The Birmingham mob here set about Slavin with great brutality, kicking him and punching him on all parts of the body. The referee, though appealed to again and again, took no notice, though admitting that he saw what was going on. Getting away from the ropes Slavin let go the right, and, reaching Smith's mouth, caused the blood to spring forth profusely. This last blow sent Smith to grass, the round occupying 50sec. [Col. 6c–7a] Tenth Round. The Champion of England by no mean relished the treatment received in the last round, and at the expiration of thirty seconds was puffing and blowing freely. He attempted to spar for wind, but the Australian seeing his advantage bored in when he could find an opening. Delivering right and left, and receiving only slight returns from Smith, the Australian pulled his man over, and the round terminated in 40sec. Eleventh Round. Neither was quite so quick to time, and Harper, noticing that, said, "This is not a two-round job, Patsey." Something like fifteen seconds was spent in sparring. Following Smith up the Australian failed to get an opportunity for some time. At length he put his hands down and invited Smith to "Come on and have a round." This was evidently not a particularly pleasing invitation to the Champion, as he remained in his own corner. Not to be denied, Slavin went after his man, but a left-hander meant for the head was put aside by Smith. At the end of a minute Slavin landed heavily on the Englishman's left cheek, a great red blotch immediately appearing. A rapid exchange followed, and Slavin was again home on the body. A heavy blow on the mouth from the Antipodean sent his opponent to the turf, the round having lasted 1min 35sec. Twelfth Round. A great change was noticeable in the appearance of the rivals on meeting each other for this round. Smith was showing signs of punishment on the face to a very large extent, his left eye being cut, his lip split, and there being a number of marks of Slavin's handiwork on his face. He was very distressed, and blowing heavily. On the other hand, Slavin, beyond the bad left eye (not done by Smith, but by one of the gang of hirelings), had apparently nothing the matter with him. Springing up brightly to his work, the Australian roamed about the ring until he found Jem Smith secreted in his own corner, only just away from his chair. The Australian reached the mouth lightly, and endeavoured by this means to draw his opponent out, but failed to achieve his object, Smith being strenuously warned not to move away from his seconds. The corner was encroached upon by Smith's crew, Harper and Baldock this time being almost between the men. The tumult was very great, but it seemed impossible to daunt the Sydney man, who followed Smith up, though little harm was done. Sparring was the order of the day until Slavin worked in with the left, delivering heavily. With great rapidity he drove the right with terrific force right on to Jem's chin, knocking him clean off his pins, and ending the round. Time, 1min 30sec. Thirteenth Round. Smith came up thoroughly dazed, the terrible blow in the last round having taken a lot of the steam out of him. The Birmingham gang, seeing that this was the case, got all of a heap in Smith's corner, and though Slavin was most earnestly advised to keep away, he would not do so. Smith stood just by ''his'' chair, and going right up to him, Slavin let out with the left, and bringing round the right. Both of these visitations Smith missed, but not so in the case  of a second smack from the right, which made Jem wink. However, turning round, the Englishman forced his opponent up against the ropes, and here occurred one of the most disgraceful scenes ever witnessed at a pugilistic encounter. Some villain drove his knuckle-dustered fist right on to Slavin's ear, cutting it almost in two and causing the Australian to exclaim, "Oh!" Other of these demons kicked him, a scene of indescribable confusion ensuing, in the midst of which the men continued fighting until the pair came down together. Time. 1min 28sec. No sooner was the round finished than cries were raised of "Here they come: the coppers, the coppers; and all Smith's gang, including his seconds, rushed away from the ring, at the same time calling upon Slavin to do so likewise. As for the Champion of England, he headed the runaway party, though nobody could detect the shadow of a "blue." The Australian never left the ring, much to the chagrin of the Smith party, who, seeing that the referee was being called upon for a decision, returned rather sheepishly. Baldock was in a dreadful fright, thinking the battle has been lost, but when the words "fight on" came he and his friends were very delighted. Fourteenth and Last Round. When "Time" was called Slavin folded his arms and waited for Smith to "come on," but Mr Smith didn't want to come on, and remained in his corner. Seeing it was impossible to make him stir Slavin once more crossed over, and a spar of nearly a minute took place. Then Slavin drove home the right on the body heavily, and the pair closed in Smith's corner. This gave another opportunity to a miscreant to strike Slavin on the head. Others in the gang were not slow to follow, and again the round ended in horrible confusion. Time. 2min 15sec. No sooner was this round over than the referee called out. "I refuse to act any longer. It is impossible for Slavin to get fair play. It's a draw." Then, going up to Slavin he said, "I will not stay to see you killed." The Antipodean stood up and exclaimed, "If you are Englishmen why don't you give me fair play? I have not had fair play." After this came a stampede. Remarks. Judging by the disgraceful proceedings recorded above, we are surely near the end of what are known as "fights in the old  style." That such a scene as that witnessed yesterday could possibly be enacted by any man with a drop of Christian blood in his veins seems almost incredible. Take the picture. An athlete, one of our stock, journeys 16,000 miles to measure blades with the best we can produce. Confident he will receive fair play in a land which boasts of nothing foul, he, after trying in vain to ratify a match to meet England's Champion, to be decided before an impartial and unbiassed crowd, puts down his hard-earned hundreds and meets our man in the style the latter insists upon. And with what result? Battling under unheard-of difficulties, not fighting one man but nearly a dozen, he narrowly escapes being murdered, and in the end is robbed of a victory he had won not once but in almost every round contested. If the nail driven hard into the coffin of pugilism yesterday is not the last, it is indeed ten thousand pities. Nothing can flourish, however, without support, and, providing the remarks passed by the majority of the spectators at the ring-side at San Michael are of any account, it will be many a long day before a knuckle-fight receives the patronage of the "upper crust." Slavin, we say, narrowly escaped murder, a fact proved by the words the referee, who, as well as others present, stood in fear of his Iife. One gentleman, an old ring-goer, affirmed he had never witnessed such disgraceful proceedings, and when the ring was finally cleared a feeling of relief was manifest on all sides. Unfortunately we are called upon to say that the riot and murderous intent were all in Smith's corner. On the other side not a man was present against whom a breath of suspicion could be raised. Opposed to Slavin was a hired gang of desperadoes ready to commit any act necessary to serve the ends of those by whom they were engaged. Terms of imprisonment had been worked out by each, and, prepared with knuckle-dusters, revolvers, and knives, they appeared ready to butcher the company at the raising of a finger. In face of all this the Australian fought his way to a moral victory. Almost from the outset Smith was outmatched, and beaten at the game considered his own. Sticking to his corner, of course by order, he showed none of his boasted bull-dog pluck and courage. His dreadful body-blow was easily put aside by Slavin, whilst instead of being "bashed" on the ground and battered out of shape, the Australian fairly held his own in wrestling. We are not blaming Smith for the doings of the miscreants present, and we also know that he was acting under orders by staying in his corner and affording them every opportunity to kick, strike, and prod the Australian, but it was altogether un-English to hold Slavin on the ropes whilst the mob belaboured him with "dusters" and sticks. Smith was, besides being in poor condition, slow and ponderous. After the third round his chance was hopeless, and his supporters were surprised at the form shown by Slavin. Contrary to general expectation, the Cornstalk proved himself far and away a better knuckle-fighter than a "glover." With his long reach he did great execution by left-handed deliveries, and the way he toppled Smith's fourteen stone over with the terrible right was a sight [p. 3, Col. 7c – p. 4, Col. 1a] Page Number: 4 that would have gladdened the heart of old Bill Richardson. In a word Slavin was entirely a different man from the Slavin that fought Bill Goode. Brimful of confidence he faced dangers that few would have encountered, and had the battle been conducted on fair lines he would have been Champion of England and Australia in less than half an hour. In all his battles he has never known defeat nor met with a knock-down blow. Yesterday it was not once found necessary to carry him to his corner, and as all the fighting was done in Smith's corner he must have walked a matter of eighteen yards each round. Slavin has a method of his own in pugilism. Possessed of staying powers, or "bottom" of a most remarkable character, he tires his man and then fights him. Yesterday, providing he had met with no punishment from outsiders, he would have left the ring almost without a scratch, and, as he himself said at the finish, "he was just getting warm." Remarkably clever on his feet, Slavin was in and out with the activity of a feather-weight, and feinting with the left, which he brought forward, he sent his right under the ribs with crushing effect. For some time past it has been an open secret that if Smith did not win he would surely not lose, and it is a blot on the proverbial love of English fair play to think that a mob should have been organised, and such a cowardly attempt made to rob a stranger amongst us of a victory so hardly earned and so clearly deserved. From the first the rules were broken by allowing the seconds to be in the ring whilst the fight was in progress, and although Smith's men threw everything in the way of the Australian, Cosnett and Kirby never transgressed the rules of fair play. Why the referee did not award the fight to Slavin when Smith left the ring in the thirteenth round can only be explained by his fear of the consequences that might follow.  Bearing on this subject, Rule 26 says: — "That if a man leaves the ring, either to escape punishment or for any other purpose, without the permission of the referee, unless he is involuntarily forced out, he shall forfeit the battle." Rule 24 is also plain enough in all conscience, "That any man voluntarily quitting the ring previous to the deliberate judgment of the referee being obtained shall be deemed to have lost the fight." Undoubtedly Mr Vesey lacked firmness, and perceiving this at the start, the "boys" and Smith's seconds, not to mention another couple who used their hands and feet at every opportunity, saw the game was in their own hands, and simply did as they liked. From first to last the proceedings were of a most disgraceful character, and the result showed plainly the reason why Smith's side objected to all the referees nominated by Slavin. Several gentlemen present, in fact all disinterested spectators, expressed their disgust at the treatment meted out to Slavin, and it was suggested on the return journey that a subscription be opened to provide funds for a testimonial to the plucky but unfortunate Colonial, particulars of which appear elsewhere. Even after the fight Slavin's assailants could not let him rest. Not content with robbing him of victory, they followed him to his place of dressing, but a determined front shown by Mr Taylor, Cosnett, and Kirby kept the blackguards back. These are well-known, and will, we believe, shortly meet with the punishment they so richly deserve. One rough made a rush for Lord Mandeville just before the close, but "Kim" soon showed he could hold his own with the "boy," who beat a hasty retreat at the "sight" of six-inch "Jack." We now take our leave of this unsavoury affair, which will probably be the last of its kind — "a Championship knuckle fight." The Englishman's boasted love of fair dealing appears lost to the professional fighter, and the sooner "merry mills in the old style" die out, and the hanger-on has to earn his living in some other way, the better. Slavin will visit London today. He leaves Margate by the 12.15 train, and will arrive at T<small>HE</small> S<small>PORTSMAN</small> office about three o'clock. Smith had a nasty lump on the jaw and left cheek, whilst his right eye was cut open deeply. In addition to this the punishment he sustained on the body was of a severe character. Slavin, on the other hand, only received a cut lip until after the fourth round, when the rowdies joined forces with Smith and smashed his eye during a mélée. After all their kicking and the free use of "dusters" the Australian only suffered from a badly-cut ear and the before-mentioned damaged eye. It may be stated that not a single bet was made at the ring side. SLAVIN'S OPINION OF HIS TREATENT. His Future Plans. On the return journey to England yesterday Slavin was the centre of attraction. At Ostend, where the tale of the fight had somehow or another been told, he was met by an eager crowd, and on the boat he held quite a ''levée''. Though at first somewhat disappointed at being robbed of the title of Champion and 500''l''. so well within his grasp, the Australian, surrounded by old friends, and new ones gained by reason of his straightforward conduct, rapidly regained his spirits. With the inner man refreshed by a steak, washed down with some of Heidsiek's [?] best, Slavin, a Havana between his lips, quickly got on good terms with himself and the rest of the  party. Much sympathy was expressed on all sides, and in the course of conversation with a S<small>PORTSMAN</small> representative Slavin said:— Of course, I feel a bit cut up, because I had my man beaten[.] Did you expect any trouble at the ring side? Slavin: Yes, I was prepared for that, as I was constantly receiving letters of a threatening nature, and though these things as a rule are of no account, I had reason to believe there was some truth this time. Besides, I had not forgotten the affair at Astley's Theatre. Do you feel any effects of the fighting? Slavin: The fighting? I feel nothing of what I got from anyone in the ring; it's what those beauties gave me outside. The only time Smith hit me in anything like form was on the jaw. Why did you persist in going to his corner? Slavin: I wanted to get the affair over and enjoy my Christmas dinner, and I knew if the fighting was left to Smith I should want it served in the ring. Of course you heard a mob was got together for Smith? Slavin: Yes, I knew all about that, but I relied on British fair play, and expected the referee to do his duty. Directly I got in the ring I saw what the game was, and knew my only chance was to knock Smith out. What do you think of Smith? — Well, I think so much of him that I'll bet him 200''l.'' I stop him in six rounds, but we must have no more private shows. I've had enough of that business. I suppose you have a poor opinion of English fair play? Slavin: I have been treated like a prince generally, but I can see the fighting men are easily led astray, and I expected trouble directly Smith objected to a referee. If we served an Englishman in the same manner in Australia we should get drummed out of the town, and rightly too. What are your plans for the future? Well, I shall stay in England some time and challenge Sullivan, and you might as well cable it over to America for me. With the gloves? Slavin: No, I went to fight him with the knuckles. I think I should get fair play out there. You prefer the old style to the new? Slavin: I am fond of boxing, but the other is my game, and though not a boaster I fear no one — that is if I can have fair play. Shall you give any exhibitions? Slavin: I may perhaps make a tour round the country, and very likely visit Ireland. You put on weight the last week? Slavin: Yes, I gained eight pounds and felt grand; in fact, just up to dick when Smith bolted. What do you think of our seconds? Slavin: Well, I'd like them to have a job in Australia. They'd never come back again. When do you propose visiting London? Slavin: I'll come up to-morrow and call at T<small>HE</small> S<small>PORTSMAN</small> Office about three. A stroll was now taken on deck. [sic] and reaching Dover Slavin was met by some friends from Margate, who carried him off to the train in triumph. A Testimonial for Slavin. So impressed were some noblemen and gentlemen with the pluck and ability shown yesterday by Slavin, and at the same time thoroughly disgusted at the treatment he had received, that it was decided whilst crossing the Channel on the way home to open a subscription on his behalf. The donations are limited to 2gs, and the following amounts have been already promised Mr G. T, [sic] [Col. 1c–2a] Dunning, T<small>HE</small> S<small>PORTSMAN</small> Office, Fleet-street, who has been requested to act as honorary treasurer to the fund: [names set as unordered list to save space, last 3 column headers: £ ''s.'' ''d.''] * Lord Mandeville 2 2 0 * Lord Royston 2 2 0 * Hon. Michael Sandys 2 2 0 * Mr Fred Ketchie 2 2 0 * Mr Ike White 2 2 0 * Mr W. Riley 2 2 0 * Mr C. Parsons 2 2 0 * Mr J. Kilby 2 2 0 * Mr Frank Hinde 2 2 0 * Mr J. Calder 2 2 0 Any contributions sent to the hon. treasurer will be duly acknowledged in T<small>HE</small> S<small>PORTSMAN</small>, which in a couple of days will contain the names of a committee now in course of formation. In the London clubs yesterday the opinion was very general that Slavin ought to be compensated for the loss he had sustained in consequence of the ruffianly tactics pursued in Smith's corner. The utmost indignation was expressed in reference to the treatment the Australian had received at the hands of so-called Englishmen. We have received a number of letters on the subject. The following is a sample of them: To the Editor of T<small>HE</small> S<small>PORTSMAN</small> Sia, — I have no doubt that many Englishmen will have read with regret the disgracefully unfair treatment that Slavin met with in his encounter with the  "Champion of England" to-day. I trust that a subscription will be started to show him in a substantial manner that the sympathy of most Englishmen who take an interest in boxing is entirely with him. If you are prepared to receive subscriptions I shall have much pleasure in subscribing a guinea, and in collecting those of many friends who will be glad to subscribe. — I am, Sir, yours faithfully, C. B. C. Royal Thames Yacht Club, December 23. [We refer our correspondent to the paragraph above. — Ed. T<small>HE</small> S<small>PORTSMAN</small>. ] [sic bracketed interpolation] Eyewitnesses Interviewed. A representative of T<small>HE</small> S<small>PORTSMAN</small> was at Cannon-street station yesterday afternoon to meet the Continental express, in which a goodly number of those who had witnessed the fight made their return to town. The train was somewhat late, and did not steam into the station until a quarter to six, when our reporter singled out several well-known "sports" (including more then one scion of a noble house) for a few minutes' chat. Asked as to how affairs happened at the outset, one and all agreed that it was plain a row was meant, the demeanour of a certain section of the party, which  did not number more than forty, being particularly noticeable. "How did the combatants' seconds behave?" — "Well, after the first round, it was evident that Smith would soon be at the mercy of his powerful opponent, and his seconds very soon perceived this state of things. In the initial round Harper came down with some force on the Australian's chest, while in the next bout Slavin came in for some rough treatment at the hands of Baldock, the Champion evidently suffering with one of his eyes." "What form was the Englishman displaying?" — "From the outset he made a miserable stand, and was plainly afraid of his rival. He fought as a coward, and by the tactics adopted by several of those at the ring side Slavin was fighting against great odds.  Every time he got into Smith's corner he was met with remarks of a most uncalled-for character, and had to be very sharp to keep at arm's length of several rowdies, who, as the fight proceeded, became extremely noisy." "How do you account for such a noisy corner at the back of Smith?" — "Although they did not number more than eight, they were some of the worst  characters known, and had undoubtedly been commissioned to play the part they did. This was most disgraceful, isasmuch as they not only made Slavin a mark for the knuckledusters and other weapons they were armed with, but likewise made tracks for individual spectators who ventured to express their indignation at the course of proceedings. One rough, more venturesome than the others, "framed" up to a familiar figure at boxing tournaments, but on the latter producing a long bowie knife, accompanied with a few words of a somewhat emphatic nature, the villain rejoined his  party." Are these men known at all?" — "Yes, they are mostly from Birmingham, and are of the lowest order. It was reported that more than one had been kept at the country's expense, one for a very lengthy period." "Was not this sort of trouble expected?" — "It had been given out by one influential patron of the English Champion that there would be an absence of rowdyism, but it was also stated on good authority that certain roughs had been specially engaged, so that trouble was naturally anticipated." In reply to questions as to how the contest proceeded, it was the opinion that the thirteenth round would be the last, as Smith's party made a determined effort to bring about an undesirable finish. On the two fighters getting to close quarters more rough work ensued, and on some pretence Smith left the ring. Slavin, however, stood his ground manfully. "How did the crowd behave towards the finish?" — "There was a lot of excitement on all sides, but the only fear was that the rough element would resort to extreme measures in endeavouring to save their Champion. Others were ready to insult the Australian by using most filthy language towards him, and altogether affairs began to look serious." "Is it true that attempts were made to tamper with the water used by Slavin's seconds?" — "Yes! a man was noticed to be hovering about in that quarter, but, fortunately, his efforts to drug the fluid were of no avail." "Did Smith deal out much punishment?" — "His blows lacked the force of his rival, and when the referee gave his verdict as a draw the Australian looked very little the worse for his exertions, and could have fought far two hours more. He could have beaten Smith and both his seconds into the  bargain, given fair play." "Was Slavin injured during the fight?" — "No; not from the blows of his rival, as he heeded them very little. He, however, received a nasty blow from a knuckle-duster by one of the cowardly ruffians, which caused his ear to bleed." "As to the referee's decision?" — "That official was undoubtedly afraid of his life, and thought it best to stop the proceedings before any serious harm happened." "What becamiof Smith after the fight." — "He returned to his hotel, and will no doubt arrive by a later train. His friends were disgusted with the form he displayed, and it will be a long time before he recovers his former prestige, if ever he does." "How did the Cornstalk behave in the ring?" — "He fought in the most manly style throughout, and gained the highest opinion from all respectable people present. A testimonial to Slavin has already been decided upon, and no efforts will be spared by those concerned in making it worthy of the occasion." Mr Ike White, a well-known sportsman in the city, and one who, as a rule, does not mind going to considerable trouble to witness a "mill," was very severe in his comments on the gang who were so lost to all sense of decency and fair play. Mr White said: — "The story of the fight does not need much telling. Slavin had his man beaten at every point, and was winning easily. Slavin is a very brave man. He bad to go into Smith's corner every time, and when there had to fight not one but six men; the ruffianism was simply awful." "Do you think it was for the best that the contest was stopped as it was?" "Yes, certainly. Goodness knows what would have happened before long. Probably Slavin would have been killed, as the villains that had congregated in Smith's earner seemed determined, at all hazards, to prevent him from losing. More than once the Australian had Baldock on one side and Harper on the other, both jeering at him, whilst Smith was in front and the 'boys' were making all sorts of attempts to injure him, but he seemed to pay no attention to anyone but Smith. Slavin would not have had a mark from Smith, such as he does now having been inflicted entirely by the mob[.]" "What do you think of Slavin's abilities?" "He is a very great natural fighter, and as for his gameness a pluckier man never pulled off a shirt." On the subject of who was responsible for the presence of the rowdies that caused the bother Mr White was reticent, but not so when the subject of a testimonial to the Australian was mooted. "He is coming to town to-morrow," said the speaker, "and shall have a great reception. Some good sportsmen  have promised to leave no stone unturned to give Slavin a testimonial to be proud of, for he richly deserves it." "What seemed the general opinion on the ground?" "Why every ''man'' (with great emphasis on this word) was sick and disgusted: all but the mob gradually forsook Smith's side of the ring, and the Englishman will lose many friends in consequence of the turn affairs took." Reception of the News in Birmingham. Considering the ''penchant'' of the natives of Birmingham for fighting, and their interest in all matters concerning the ring, a stranger in the city yesterday knowing this would have been rather taken by sur prise [sic] at the indifference manifested in the result. At the various local sporting resorts, however, the cause was plain enough to those in the know. Early in the week it was an open secret that a warm corner was being provided for the English Champion, consequently betting was at almost a standstill. In what little speculation took place the odds were in favour of Smith, as the ''cognoscenti'' were confident that the Australian would not be allowed to win. Amongst the better class of sportsmen in the city the whole of yesterday's disgraceful proceeding were viewed with the greatest disgust. There are still many staunch supporters of the ring in the district who would gladly hail any signs of its regaining its past glory, but they look upon the fight of yesterday as the death-blow to the institution. By the few that thought the affair might possibly be allowed to be decided on its merits Slavin was expected to win, but his only chance was considered to be in his forcing the fighting at the start [Col. 2c–3a]  and knocking his man out early. George Prober hoped to hear that the fight had been decided fairly, and he regretted the unsatisfactory ending. How the Match Was Made On the evening of Saturday, August 10, the P. and O. steamship Carthage cast anchor in the Albert Dock, Limehouse. On bard was an individual, anxiously expected by the British public — namely, Frank P. Slavin, the Champion at Australia, who was accompanied by his manager, John Lewis. Without loss of time, Slavin made his way to T<small>HE</small> S<small>PORTSMAN</small> Office, and on the succeeding Monday the following interesting particulars respecting the visitor appeared in the columns of this paper:— "He has a long record, including victories with both gloves and knuckles, and has never yet known defeat. His bearing is that of a thorough gentleman. He is a fluent talker, and can converse on any sporting subject. Devoid of conceit, he yet has a full comprehension of his own powers, and speaks with confidence as to the result of any encounter in which he may take part. Slavin is a splendid representative of the nation which is growing up across the seas. The contour of his features is distinctly English, square cut and firm. Beneath an intellectual forehead are two deep-set piercing blue eyes, and his features are bronzed with the burning suns of the south. From this it will be gleaned that the Antipodean is a formidable-looking customer, especially when we add that he stands no less than 6ft 1in, and in condition fights about 13st 4lb. Long before his arrival 100''l.'' had been posted at T<small>HE</small> S<small>PORTSMAN</small> office for Slavin to box any man in England, but the money was waiting nearly four months before any of our big guns would cover it. Jem Smith, the Champion, turned a deaf ear to the straightforward offer of the Colonists, and Mitchell  was called away to Yankeeland to lend assistance to his friend Kikrain [?]. For some time it looked as though our visitor would have to return as he came, without giving anyone a hiding or receiving one himself, until a gallant little English middle-weight stepped into the breach to box for the honour of the old country, and agreed to face the stalwart Cornstalk. This was none other than William Goode, who in consequence of his politeness, urbanity, and elegence of dress was christened by his friends 'Chesterfield.' Goode had previously lowered the colours of another Australian, Tom [Less?], a much bigger man than himself, and, bearing this in mind, his friends freely plunked down 200''l.'' These were Messrs Robert Abel and Harry Hart, two well-known figures in the world of sport, articles after little delay being signed at T<small>HE</small> S<small>PORTSMAN</small> office, whereby Slavin and Goode agreed to box the bout of twelve rounds, under the usual rules, on October 17, for the sum stated. Many old ring-goers and patrons of the games shook their heads when the articles were published, and not a few blamed 'Chesterfield' for his rashness in tackling at catch-weights a man so much his superior in size. Goode, however, comes of a fighting stock, is full of pluck and stamina, and belongs to the order which never say die. Excepting in a competition, his maiden attempt, 'Chesterfield' had never known defeat, and the making a match with such overwhelming odds against him his bravery received due acknowledgment on all hands. Slavin held an unbroken record of nineteen successes, and throughout his career he had never known the effects of a knock-down blow. The articles stipulated that the men should box in a 24ft ring, and at the time of signing Mr B. J. [Angle?] was agreed to by both sides as referee. A very necessary clause was inserted, giving the referee power to award the stakes in case of what he might deem an organised interruption to the man who, in his opinion, had the best of the boxing at the time, and if all agreements contain such a clause, it will have a deterrent effect on those who invariably go on the sin, tie, and wrangle system. Slavin placed himself under the charge of that painstaking trainer and old-time boxer, Jack Start. The pair made Mr J. Kilby's, the Ferry Hotel, Cookham-on-Thames, their head-quarters, but things went very badly at the start. During the second week of his training the Australian caught a severe cold, and rheumatism setting in, the services of a doctor were required. The illness was, for obvious reasons, kept a profound secret, but so bad did Slavin get that the first man of medicine deemed it necessary to call in a second. Ten days were spent in the house before Slavin pulled round, and though all went well for some time, he contracted another bad cold. Start, however, wa unremitting in his attention to his charge, and Slavin came to the scratch in fairly good shape. The result of the encounter, a win for Slavin in the fifth round, despite a grand stand by Goode, will be fresh in the memory of our readers." [sic: quotation begins at the top of the paragraph] Smith's failure to make a match with the Australian caused general surprise, but the Englishman would have nothing to do with the glove business, despite the repeated offers of Slavin. The latter's friends, on the other hand, saw little but trouble attached to a knuckle fight, and though Slavin himself preferred the fists to the mittens, there appeared small chance of a match between the pair until Mr Frank Hinde stepped forward and put up a deposit of 50''l.'' at T<small>HE</small> S<small>PORTSMAN</small> office for the Australian to fight Smith for the championship and 200''l.'' a-side. The old question of stakeholder then cropped up, and, after a Iot of bickering, the Colonial gave way, and agreed that the money should be deposited with private gentleman, who for obvious reasons shall be nameless. A meeting took place, and eventually the following contract was drawn up by a representative of T<small>HE</small> S<small>PORTSMAN</small> and signed: Articles of Agreement entered into this day (Monday, September 16, 1889), between Frank Slavin, of Melbourne, Australia, and James Smith, of London, England. The said Frank Slavin and James Smith hereby agree to fight a fair stand-up fight according to the new rules of the London Prize Ring, by which the said Frank Slavin and the said James Smith hereby mutually agree to be bound. The said fight shall be for 200''l.'' a-side, open for 1000''l.'', lor the Championship of England and Australia, and shall take place in 1889 out of England. The two representatives to select the battle-ground issue all invitations (not exceeding fifty persons a-side), and carry out the arrangements for bringing off the fight. The backers of the said Frank Slavin and the said Jem Smith this day (Monday, September 16) deposit 200''l.'' with the stakeholder. The representative of each man to supply the other with a list containing names of spectators, and to have mutual power to strike out a name they object to. The said James Smith and the said Frank Slavin each to have power to appoint an umpire. The referee to be mutually agreed upon by the duly authorised umpires of the men at least seven days before the day fixed for the fight, but in case they cannot agree, the final stakeholder to have power to appoint a referee. The men to be in the ring between the hours of six a.m. and twelve noon, or the man absent to forfeit the battle money. The expense of the ropes and stakes shall be borne by the two contestants equally. In case of magisterial interference the referee, if appointed, or the stakeholder if not, shall (if possible on the same day) name the next time and place of meeting, and either party failing to appear at the time and place specified to lose the battle money. The stakes not to be given up unless by mutual consent, or until fairly lost by a fight, and due notice shall be given to both parties of the time and place of giving up the money. In the event of any question arising which may not be provided for in these articles the referee to have full power and authority to decide such question, his decision to be final, conclusive, and subject to no appeal in any court of law. The stakeholder shall in any and every case be exonerated from all responsibility upon obeying the direction of the referee. In pursuance of this agreement we hereunto subscribe our names. Frank Hinde (for Frank Slavin). John Fleming (for James Smith). Witness for Smith, F. Montague. Witness for Stavin, John Lewes. Subsequently Slavin, as stated, defeated Goode, following which he fulfilled an engagement at the Royal Aquarium extending over thirteen nights. The "Cornstalk," though suffering from an injury to his left hand, offered 20''l.'' each evening to any man whom he could not step in four thee-minute rounds, and though several tried to earn the money Slavin always accomplished his self-imposed task, and brought his engagement to a close in a blaze of triuumph by stopping two men the last evening in four rounds. Slavin had now come into funds. Through the columns of this paper he expressed a wish to put some of his own money down, and, confident in his ability to uphold the honour of Australia, he offered to increase the stakes to 500''l.'' a-side. Smith, with a millionaire at his back, had little difficulty in getting the extra 300''l.'', and accordingly the money was made 1000''l.'', the sum fought for by Sullivan and Mitchell. Smith in the meantime, though ignoring Slavin's challenge to box under Queensberry rules, strange to say, entered into an engagement with Jackson under the conditions he so stoutly objected to when put forward by the white man[,] His ignominious show with the coloured Champion may be passed over without comment, and it will suffice to say that after he and his conqueror had boxed together for ten nights at the Aquarium the Englishman began to prepare himself for the affair under notice. The Men in Training Slavin, when he entered upon his training at the Nayland Rock Hotel, Margate, was 12st 9lb in weight, while fourteen days later, in the buff, he scaled 13st 6lb, and was as hard as nails. The increased weight was accounted for by the splendid development of the muscles in the arms, shoulders, and back. His daily programme while at Margate was as follows:— Up at seven sharp, and twenty to twenty-five minutes' strong exercise with 4lb dumb-bells, followed by a gentle stroll of a couple of miles before breakfast, at 8.30, which consisted of porridge, 1lb of chops or steak, dry toast, and a cup of tea. After the perusal of the morning papers he indulges in a ten-mile walk at a smart pace, averaging five miles per hour. Back again to the hotel, into a bath, and then a rub down with whisky, which was completed in time to give him a good rest before dinner, timed for 1.30, and composed of either roast beef, mutton, or chicken, with vegetables, light pudding, and a pint of seven-year-old bitter. The meal being digested over a game of billiards, he started at three o'clock on a six-mile stroll, varied at intervals by sprints of one hundred yards. On his return to his quarters he punched the ball for half an hour, and then sparred lightly with an Australian gentleman who was at the time on a visit to this country, and holds the Amateur Championship of Australia, he having kindly consented to assist Slavin. This was followed by a sponge and rub down and a good slapping of the muscles before a tea, at 6.30 p.m„ [sic] of cold meat, half a dozen eggs, dry toast, and tea. The wind-up of the day was a quiet stroll to the pier and back, and a game of billiards before retiring to rest, at ten o'clock sharp. Smith's programme was something of the same description, excepting the ball punching, the Englishman preferring the sack. He made the Greyhound,  Newmarket his head-quarters, most of his exercise being taken on the Heath, though, as visitors were forbidden and interviewing tabooed, little was gained [Col. 3c–4a] as to his doings. Under the care of Jem Howes, his old trainer, he was, however, reported to be doing well, and much finer than when he fought Jackson. Finding the Battle-Ground. (By one of the Explorers.) At a meeting held on Saturday, November 16, Mr John Fleming and Mr G. T. Dunning were deputed to act on behalf of Smith and Slavin respectively, their duties being to select the battle-ground, issue invitations, and carry out the arrangements for bringing off the fight. This was rather a strong order, and one of a most trying nature, as anyone conversant with the peculiarities of those attached to the P.R. may know. Wednesday, December 4, was a cold, raw day, and with the thermometer down to freezing-point travelling at night was anything but a luxury. Reaching Paddington soon after 9 p.m., Mr Fleming and I, thanks to an energetic guard, soon found ourselves comfortable in a first-class "smoker" attached to the Weymouth express. At 9.15 to the tick we steamed away from the Great Western terminus, and in due time reached Reading. The hour had passed quickly, pleasantly whiled away by interesting tales of old-time bouts told by the manager of the Pelican boxing. Such men as Punch Dowsett and Bill Charlton graduated in Mr Fleming's school, and the way these celebrities used to set about each other for as many shillings as the boxer of to-day gets pounds is nothing less than remarkable. A ten minutes' halt at Swindon was utilised to the fullest extent, and then bowling along we reached the end of our journey, so far as land was concerned, soon after 2 a.m. on Thursday. When we left town the air was crisp and frosty, with hardly a breath of wind stirring. We were, therefore, greatly surprised when stepping on beard the Gazelle we were informed  that a "choppy sea" was running outside. The fact of a passenger's hat going over the side proved the truth of the assertion, and then this same passenger, a likely-looking fellow, bemoaned his fate and bad luck. "How confoundedly annoying,"  he said. "This is the sixth time I have been across during the year, and not once has it been calm." "Better have a sleeping berth, sir," said a sprightly youth at the top of the stairs. "Sleeping berth be hanged. I'll remain on deck," said he, and here for a time we left him inquiring if his horses had gone across in the morning. Guernsey, dear reader, was our destination, and with the idea of making ourselves comfortable we made for below. I felt a bit "peckish" and cast a longing eye on the good things set out in the dining saloon. This was, however, as far as I went in the line, and diving a floor lower doffed my boots and courted the god of sleep. Morpheus, however, scorned my attentions, thanks to the clatter on deck and the noise of the machinery, to say nothing of the "magging" [?] of our friend of the horses. This gentleman, after three or four futile attempts to drag me into a controversy about traveling, "struck ile [?]" with an elderly party, occupying the berth behind me, and for nearly an hour I had a pretty lively time of it. The "elderly party" had a voice greatly resembling the dividing of  tin hoops with a file, and in addition displayed a shocking habit of making horrid and atrocious puns. '''Just''' re 4 Vaught  al up sleep far led job aid  Ifni( sp.. the Gesell* is a meal  bread she seat the offsets of the keens  sad began to tel liesay. The aware in  the motion et the simmer was followed by a  deeded in the sessamilea mead as, and by  wise ben bar to wane. The  '4 4. •  tie slop dipped isle a walk. sad As  La boss amisaged tie two came to •  dad Meier up a payer of thenliegiving for  tide I eked my eyes sad bass a good Wier  was cid* *new the et, I lope, the jest.  el the  The eat mills "plod the Onerseey  Pier,  length  en adesigeeded by a prod frees Flem ingss did, at  ema -a  AMONG THE CHANNEL ISLANDS.  Tile thee by "Joe Vickers" was T aim, sad ludrawake  I took to my boots. 'Need .at boathook •we  slall be than is Imiautemaidesdi e  annoy,  sort el  • w gi l la ar Zlessedrnies ea ----- TWl — dsek. el  velar sad s cadre at b.l sad rag  mead se sod *ga mg g tate taw lise  = i n  I ea" i..iowt Mwes minto re fawn at Gardaer's  lam.  Raft vend a "shoals* (amide= knew what he  meet, Kenplp, wade a welcome, and •41balis e the  ammlsslowr be beaded vs over to or* of  M iamiesid. I tempt ha mem  eg ea here I awes* r oi l  I all esy ne awe Mrs thee after a cep of tea  with daises mess, we tsar a well-esened sad marsh  nestled ail. Up sal Ades -see after tin, a dilate  talk wee bellmeue. Iftenteg had a find WIWI and,  a erphia who lame' • spot when we add  • fee a sigma. Onessa, dear to the "honey  mane end &Ogallala, isomr." le. at wrtgaska _Ulm%  ihead lama alma le the IWO& Ckeend rime  ileasels Balking and Nr •to wl7. It hal Win  frees Weaneeth, Tftra lark 19 ban Ailersey, and  25 fresJaw. I assilen time dines/es, for we  =plead the oh= paw &ed with rata  alma had- in high =lse, ma  isw  thospeene tines nee the  th=4  el vide booeind err of an lime an  boa at Yr bard thelores loyal HOW as  Cestleasernet eras ia view, while hi  Ks di- ---s, sired Miles by • heavy waist, add  r k. he Mesesea Ks lima a Ham, Mien, a=  amid M sasatiorsi, though  ands the prison-- d Negkiod, bosses a sort of  Mesa Mae gpranagai, rallare frame to the  sierearer Ms pas, if that strasger is  es —°-ald bed and gets Makiza. ,, iii •  ands= aroser, bairns at the  heal • Ms= is " Ma* laid I, "He's • Frenaass."  "Gell eni." " hesa •berle.*"  "  had not e  Drinks beha  tins ash  al  hot  ," Dan ; aloft  bed  he is.ss " 3111*"  en.  to end bowl& a aillearresp sal a leoi.  la reply le • cal teem Flookag be opeeshed, and a  "Yea, an hens.," to I Arad hew to "park"  "Hike 1111/ • tamp, and I heed Mee from  the stark For elms Haan be had hen in  the serene of a es--el at 11. a week,  and tires snits of abase is the fir. Hotel pay  was ant so geed, sod Mash be wade "a hit" a the  somoner, the yaws an an generally there when  the bills an pad, if nee whoa the work was ea.  " Mike" told a hie el also to what seamy ewroldeo  the " foeolantinig brogue."' He lammed us—and  how ear barn hat at the news—that the Wand,  which had • pastaise of over 32,000, employed but  sir sPOMOINIMIC "There's not a begpr in the land,"  aid Mike, "and bat one Hasson on, and," antis/1i  to the window, "be ahem there it goes. " So  tars - bat shoe a walk round the eon of Brie  pp re i m e s: *et by saying, in reply to a query from  "They've a way of thdr own on this  and, sad mealy ivory ether men L .1  ee  3.4.11  nsertessoholy we bad Pat  nowt,table." W  and, •••••= ar easik ether, we  isele:a w  hilly to the doer, IMMO with  • breath of the pnes as  lasne w r i tZ  et  Mee steed ea ths base lie relhea  whilst imi 7wts  soaring free a "ladling" inn the heal of anything  bat a *ring =We. Videos et a dimgemes/  man Code Masa haled Moe*  a ales end a step were hand bsNsd, sod th I was  eneewhit resesored. "Mb= would yw like •  dolt sully on wise an Afraid tint we  inel ha-- *saga as bit week at the leig p r ammis ned to  I=her sad rid Inlet he swat.  11111 lewd tbs " ark " was • sort of Mak  ask ea wheels aid threighent haw did. Deinlag  the offerors leek • aid, AM path t  aid hart tegother, eine te the  that we tea was d a very doffs= name.  The lid dog was to the captain, who, in  reply te m : g a =Ma epee a. Repave  as et  tie the and = heleeisslien to  Kr H., a who w wellertenally lowed =my  Omi  front holes. Tang a " ask "we thee sleeted en a  voyage of apieraties, V  the  eve way to  • sae nsam. Ine lit. Fenn het aid  ran lireigh Bt. Bona= s—the ffebs—ree iae  Germs ewes If Awards, in one buboes  ale shag the readahle. MI  : 6 =4  drive ▪ y ve be a es& les to the onnes• assilmol, end Mr  = we Weed van to a lewd plead tat.  sheraied on al ales, and pleetto en we  ameba liAnnues Bay, • body Kite spat, _ when  the sea rippled softly over a bed of almost mew-white  mad. Near= could be fennel a suitable sea where's  t i V "1"4/P le e ," and es ibe ANON  al were f lest we rattled hack  te the "D asp A alga offered no imbi•••  en. for further travel, and it was a an  of early to bed and early to rise, the next  Fleming end arson at the door of Mr H.  *Obi goodkowa wall the Nature of  the ale b  usliun al  hand be, Eke a owed Ipseleown, fell into the  and at own vohniessed to drive an to " the best  in the world." "Dodo" was dummied to the Alb.  cart, and away we went at the rate of fully fearless  miles an hoar in the direelissof the Forest. I have at  behind many a pea goer, bet must for her size award  the palm to Bess* a bea uty freely twelve bandahigh.  Throwingthe robe in the helium of the vehicle, Mr IL  let the pony have her bead, and the way she went  uphill, down dale, and past other traps was truly  astonishing. Great Bt. Peter's was passed, and lovely  scenery encountered, the gardens being full of flowers,  ceraniums and roses blooming on all sides. An enjoyable  drive of forty-five minutes found us at Boe(pair.  Bay, and directly in frost stood the island of  Lihou. As many of our readers may know, Lihou is a  small hill of land that at low water can be reached  on foot from Guernsey. As a fact, a paved roadway  ' is laid in the bed of the ocean, across which both  foot passengers and carts easily make their way.  With the tide up communication is effected by boats,  but this being low at the time we had the novel experience  of  DRIVING THROUGH THE REA.  Gaining the other side we " explored " and as the  mew of land is only some three hundred yards by •  hundred and fifty, we were not loag shoot it. Two  excellent patches of level turf were found, but just aa  we were making for the trap • punt, Robinson Cruse&  looking individual scaled one of the small stone walls  and barred the way. Of course, he wanted to know  our Wainer, and, after • rather rough opening,  quickl " listened to reason." In the course of wovrrtian  ws found that the population of the Wand  was limited to three, the old "jam,. " and his two  daeghtere, with a " moke". thrown in. Pointing a  long skinny finger , which might have belonged to the  Witch of Endat, towards the quadruped mentioned,  the old man said, " Us two keeps the family.  He draws the seaweed and I born it."  "AM why do you been it ? " " Welk to looks  air, end base be ashes adios Y amaefactured."  " And hew wadi de yen are • weak by that 7" said  I. "Oh. .be Sr. ; not fw. e y weak." Great  Scott ! and MB was all the old man, his tat mace-,  sad the " mite" had to live on. bi, •  fleas sash. wash needy aupelied the old  PleZi y end =MN sensed to Kr M., who  es lea to AX Pate's Part. The next day we  messed le Sark and Jersey, hut fazed nothing no  =Seib es the panel at and fairly well seta  bed with the resell of ene abet, • day later boarded  the Lyle: hr the sawn bemey.  = air visit the mat= had tea of a fairly  fismelplisa ha the voyage home was made  sear very deprening drenmsteame. Rain fell heavily  sod slack mist brag ear lite water, which after rag  a few =los was saw alb porpoise. Some of these  animals ease within • few yards of the Lynx, but the  speed of be boa preyed too pod for the linney saes, I I  who were penury left behind. With • bass  springing up sal was hated, and dashing through • I  heavy ma to spi=did fern the Lyon made some sixteen  keels be the her. Ia this goy bait the journey 1  was semplead, when all d • sadden we were caught  in a anal. In as Mint the and chopped round,  and before you amid "Jack Robins= " the good  vessel was tamed arweiii to. The order to take in  sail was promptly obeyed, bat the clatter on deck  brought may an IMZIONI passenger rapidly from  below. A very heavy sea was now running, and  though the Lynx kept her course bravely the decks  were swept from stem to stem. A huge Eat Indiaman  now hove a fugh• t. and. lie one at the men  informed me, she had the audacity to cress  our bows instead of passing ender our stern. This  breach of ocean =goats =Sod the skipper of the  Lynx, who chased the trader, and eventuall y made  her alter her coarse. This little "diversion "caused  much amusement amongst our passage= and after •  cold, rough passage we laaad safely at Weymouth.  Chilled to the bone, we made for the Victoria Hew,  when a chop and a glees of old October revived the  almost Mamma circulation. Loudon was reached  about 9.30, aad, tired and worn out, I was glad to lay  my bead on • pillow I had not sego for four days. === Dundee ''Evening Telegraph'' === This Wednesday, 25 December 1889 article describes Slavin's reception in London after the fight. Viscount Mandeville was there, suggesting that he was a Slavin supporter:<blockquote>There was (says a sporting correspondent) great excitement in London yesterday over the fight of Monday, and all classes of the community expressed their abhorrence of the proceedings adopted by the Smith party. It was known early that Slavin would journey up from his quarters at Margate about mid-day, and by two o'clock there was a large gathering in and about the Holborn Viaduct Station. By three o'clock the crowd had increased enormously. The train arrived behind time. As soon as Slavin and Mr Taylor were recognised, a loud cheer was raised. So great was the crush that it was only with the greatest difficulty that the Australians could make their way to the street. The reception accorded the champion, although very gratifying, was somewhat rough, Slavin and his party being forced across the road before they could take refuge in a hansom. Among those present were John Lewis, Slavin's manager; [[Social Victorians/People/Mandeville|Lord Mandeville]], E. Bayley, and other well-known sportsmen. From the station Slavin went, in answer to an urgent request, to the Stock Exchange, where another enthusiastic reception waited him. A move was then made to the office of the ''Sportsman'' in Fleet Street. Among those who were present to offer their sympathy and congratulations to Slavin on what all considered to be a victory were [[Social Victorians/People/Mandeville|Lord Mandeville]], Ike White, E. Bayley, George Knight, W. Riley, C. Mitchell, J. Goldberg, J. Kilby, F. Symes, F. Hinde, and a score of well-known boxers. Shouts for Slavin were kept up outside, and the crowd could not be silenced until Slavin went to the window. He bowed his acknowledgments, and after much difficulty obtained a hearing. He thanked the multitude for his great reception, at which three cheers wore raised for him, and a corresponding number of groans for Smith. Later Slavin dined at the Albert Club where a Testimonial Committee was formed. At seven o'clock Slavin departed for Margate. Smith remained in Bruges until one o'clock on Monday, when, in company with Baldock and Harper he left for London ''via'' Calais. They arrived in London at eleven o'clock, Smith going home in company with a friend. Smith has a wound over the right eye, and his face is much swollen.<ref>"London Gives the Colonist a Great Reception." ''Dundee Evening Telegraph'' 25 December 1889, Wednesday: 3 [of 4], Col. 6b [of 8]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000453%2F18891225&page=3&article=052&stringtohighlight=mandeville+viscount. Print title: ''TheEvening Telegraph'', n.p.</ref></blockquote> === ''Reynolds's Newspaper'' === The Sunday, 29 December 1899, of ''Reynolds's Newspaper'' published a detailed account of the fight.<blockquote>The fight between Slavin and Smith took place on Monday morning upon private property in the outskirts of Bruges. Various spots, both at home and abroad, were from time to time named as the possible battle-field, but finally it became known to a certain select few that an English gentleman, Mr. Atkinson-Grimshaw, residing near Bruges, had placed his grounds at the disposal of the combatants. The host is a well-known breeder of fowls; and he certainly did not expect the quality of fighting cock which responded to his invitation. The ground was encircled by large trees, which secured the utmost privacy. About forty persons assembled at the ring-side, including Viscount Royston, Viscount Mandeville, Mr. Abington, Mr. Harris, Mr. W. Riley, Mr. P. Kotchie, Mr. Ike White, the Hon. M. Sandys, Mr E. Bayley, Mr. C. Parsons, Mr. J. Kilby, Mr. C. Morton, and other well-known "sports." Smith was dressed first, and had to wait a few minutes for Slavin. The Englishman appeared in white flannel drawers, white socks, and lace-up boots; while the Australian wore black drawers, blue socks, and lace-up boots. Harper and Baldock were seconds, Howes bottle holder, and Mr. Fleming umpire for Smith; Cosnett and Bob Kirby, Mr. Taylor, and Mr. W. Riley acting in similar capacities for Slavin. Mr. Joe Vesey officiated as referee and Mr. Calder as time-keeper. The men were in the ring at 8.25, and ten minutes later the fight began. After the first two rounds everything went in favour of Slavin, who in the third round knocked Smith clean off his legs with a terrific right-hander. He repeated this operation four or five times subsequently and surprised many of the spectators by the determined way in which he fought. In the thirteenth round he doubled Smith up with a fearful blow under the left ribs, and the Englishman's friends, seeing that Smith was almost beaten, raised a cry of "Police!" Smith was hurried from the ring; but Slavin and his friends refused to budge, and, after "Time" had been called, they claimed the fight. The referee, who appeared afraid to give a just decision, was surrounded by partisans of Smith, who had meanwhile come back, and eventually ordered the fight to proceed. Prior to this Slavin had been repeatedly kicked on the legs and hit on the body and head with sticks and knuckle-dusters. These gross and cowardly outrages were committed in Smith's corner, where all the fighting took place from start to finish. The next round, the fourteenth, was the last. Slavin fought in a most determined fashion, and when he was punishing Smith heavily, the latter caught the Australian round the waist and held him on to the ropes, whilst the ruffians standing around beat and kicked him in a most cowardly fashion. Amid cries of foul, the pair fell to the ground, and, on the men taking their corners, the referee said he would act no longer, as it was perfectly clear Slavin was not to have fair play. This created immense excitement, during which the referee declared the light a draw, and, crossing to Slavin, said, "I do not want to stay here to see you killed." Afterwards the roughs tried to get at Slavin, who, however, managed to hide in a barn. Later on he went with a few of his friends to Bruges, where he caught the train for Ostend, and came over to Dover, thence proceeding to Margate. Smith and his friends were left behind at Bruges. Round 1. — Slavin stood over Smith with a longer reach. Both sparred cantiously at the opening, Slavin at length leading off and landing heavily on Smith's chest, jumping back out of danger. Sparring again Slavin landed full on Smith's mouth. Heavy in-fighting followed, the men closing and falling together. When Slavin rose it was seen that he was bleeding from the mouth. Time, 1min. 30sec. Round 2. — Slavin fought Smith right into his own corner. There was a disgraceful scrimmage there among Smith's friends, Slavin being badly used. Both men fell together. Time, 15sec. Smith's party shouted out that their man had been spiked by Slavin's boots. The referee, thus appealed to, declared that the men had spiked each other. Round 3. — Smith showed to better advantage in this round, getting home both right and left twice in quick succession on the Australian's body. Sharp close in-fighting followed, Smith going down before a terrific right-hander. (First knock-down blow to Slavin.) Round 4. — Both men were blowing when they came up for this round. The fighting was again fast and furious, Smith at length cross-buttocking Slavin. The Englishman, however, did not fall on him. Round 5. — A light round, Smith going down before a light blow. Time, 11sec. Round 6. — Slavin came up very determined, and forced the fighting at a great pace. He drove Smith all over the ring, landing with his right a heavy blow over the right eye. Smith went down bleeding freely from a gash on the forehead. Round 7. — Smith came up stronger and did some of the forcing work, beating Slavin for a moment on to the ropes. While in this position one of the crowd of roughs deliberately kicked the Australian, who, however, took no notice of the cowardly attack. Both the combatants got away from the ropes and fought to the middle of the ring, where Smith slipped, and both were taken to their corners. Round 8. — Slavin did the opening work in this round, driving Smith round the ring and finally into his corner, where, as usual, his friends were ready to protect him. Smith came out again, when Slavin landed heavily with right and left, and Smith sought the ground. Round — 9 There were heavy exchanges from the outset, Slavin giving his man no rest, and driving him back into his corner. While there one of the mob struck Slavin on the head a violent blow. Time, 1min. Round 10. — This was a far more sportsmanlike round. Smith stood up well in the centre of the ring, and fought it out without the assistance of his friends. There was hard fighting from first to last of a close order, both getting home some terrific body blows. Both fell together. Round 11. — Smith looked tired and led off feebly while Slavin returned with right and left on the head, cutting open the Englishman's cheek on the left side. Smith landed his left again, Smith countering heavily. Smith then rushed upon the Australian, who met him with a severe blow on the mouth, and then sent him down with a terrific right-hander. Round 12. — The disturbances at the ring had now become so unbearable that the referee cautioned the seconds to keep to their corners, and not to interfere with the principals during the progress of the round. The round was of the cautious order, Smith finally being sent to grass again from a heavy right-hand blow on the jaw. Time, 1min. 30sec. Round 13. — Slavin again did all the leading, fighting the Englishman round the ring, and forcing him into his corner. There were some heavy exehanges, Smith's friends again assisting their man by hitting freely at Slavin. Round 14 and last. — Just a second before "Time" was called, Slavin, remarking on the treatment he had received, said, "Are you Englishmen, boys?" This was received with derisive shouts from Smith's party, and then, in an instant, a cry of "Police" was raised. The whole of the Smith party instantly decamped, hurrying their man along with them. Slavin, however, declined to stir, and his friends shouted that it was only a ruse to stop the fight. After a time the Smith  party returned, and Slavin then said to Baldock, the most prominent of Jem Smith's seconds, "Why don't you give me fair play?" Slavin's seconds claimed the fight, but the referee ordered them to fight on. The tactics of the Englishman's supporters were now very evident, but Slavin, who was only anxious to have the fight out to an end, advanced into the  centre of the ring, and again beat the Englishman back into his own corner. A scrimmage ensued, both men landing heavily, and the mob in Smith's corner then closed upon Slavin, who was again kicked and struck. The Australian, however, paid no attention to anyone except Smith, and he finished up the round by throwing him heavily. The referee then said, "I shall refuse to act any longer. This man" — pointing  to Slavin — "can't have fair play. I declare it a draw." Smith seemed well at the finish, and Slavin was certainly full of fight and disgusted at having been robbed of victory by the cowardly attacks of roughs. The Australian had fought in the fairest and most plucky manner throughout, forcing the Englishman back into his corner in nearly every round, and keeping him there. Here the fight came to an end, the referee exclaiming, "I shall refuse to act any longer. I shall declare it a draw." There was considerable surprise among Slavin and his supporters, and the Australian said, "I came 16,000 miles to win, and why don't you give a man a chance?" After some little delay the company dispersed. The time at the end of the fight was eight minutes to nine. Mr. Cecil Raleigh, hon. secretary of the Pelican Club, 21, Denman-street W., writes as follows:— "As an impression prevails that the Smith and Slavin fight was arranged under the patronage of this club, I should esteem it a favour if you would allow me to state emphatically that the Pelican Club gave no countenance to the affair in any way whatever, and had nothing to do with it." Directly the news became known in London the greatest indignation prevailed in all the clubs at the dastardly way in which Slavin had been treated. Subsequently some forty or fifty gentlemen proceeded to the Pelican to demand the instant and public repudiation on the part of the committee with any official cognizance of the arrangements for the fight, and also for the summary punishment of those who had dragged prize fighting down to the lowest depth of degradation and blackguardism. In accordance with these demands, and in full sympathy with them, those members present, conjointly with the proprietor, immediately sent out telegrams summoning an extraordinary meeting of the committee. That Slavin has now a right to the title (empty though it be) of "champion" is clearly supported by the 24th rule of the Prize Ring, which runs as follows:— "Any pugilist voluntarily quitting the ring previous to the deliberate judgment of the referee being obtained shall be deemed to have lost the fight." It seemed a pity that Mr. Vesey should not have had sufficient support to enforce what was uadoubtedly the judgment of all impartial spectators of round thirteen. Arrival of Slavin at Margate. Slavin arrived at Margate at half-past seven on Monday evening, and met with a flattering reception. During his training in the town he had become a general favourite with those who took an interest in the event. Sympathy was almost wholly on his side, and during the day news was anxiously awaited. At the station he was met by a four-in-hand and the town band, and proceeded to the Elephant Hotel, the band playing, "See the conquering hero comes." Along the Parade, on which was assembled a large crowd of people, he was loudly cheered. At the Elephant Hotel, there was a large crowd of people, and the reception was most enthusiastic. Slavin briefly addressed the gathering, thanking them for the reception he had received. His intention, he said, when [Col. 4c–5a] he left England was to win the championship or lose it fairly, and he was sorry that the fight had ended in such a fiasco. Inside the hotel the scene was very exciting, and Slavin received the hearty congratulations of his friends at the slight punishment he had received. He then left for the Nayland Rock Hotel, his quarters, and on the road was loudly cheered. Upon arriving at the hotel, Slavin retired, accompanied by his second, Joss Cosnett, after which the correspondent of the Press Association was introduced to him. The first question put was, "Well, Slavin, how have you fared?" "Very badly," responded the Australian. "As far as the roughs were concerned, I never witnessed anything more disgraceful in all my experience. My treatment at their hands has been most cruel, and nothing I could say would sufficiently emphasize what I mean. I am very pleased indeed at  the reception I received on my arrival at Margate. Nothing could have been more enthusiastic. You see what punishment I have received. It is not from Smith so much as it is from the outsiders." — Joss Cosnett: Smith did not bit him any more than I am hitting you. The conduct of the roughs round the ring was shameful. Slavin: The treatment I have received from them was most unmanly. I am sure the roughs never meant it to be fought out. They intended to have a draw if they found their man losing. Several of Smith's backers, including two well-known noblemen, were disgusted, and threw his colours away and put mine on, as a protest, I suppose, against the treatment I had received. To speak the truth, I would not like to see a dog treated as I was. All I am anxious for now is to meet Sullivan for the championship of the world for £500 to £1,000, or anyone else. I am willing and ready to meet and fight anybody for the championship before I go back to Australia. The Pelican Club and the Fight. A meeting was held at the Pelican Club at one o'clock on Tuesday afternoon. At the conclusion the hon. secretary, Mr. Cecil Raleigh, furnished the following report:— "In view of the reports of what had occurred at the Smith and Slavin fight a special meeting of the committee of the Pelican Club was instantly convened by telegraph for this afternoon. There was a large attendance of the committee, among those present being the Marquis of Queensbury, Mr. John Corlett, and other well-known sportsmen. It was unanimously determined to address a letter of sympathy to Frank Slavin, expressing the appreciation of the committee of the courage he exhibited, in face of the most  blackguardly conduct which ever disgraced the ring side. The committee added that they fully recognised that he had indisputably established his claim to the championship of England, and they further informed him of their intention to present to him a belt and purse in recognition of his pluck. The committee then determined that Mr. John Fleming, late manager to Jem Smith, who had hitherto acted as master of the ceremonies at the Pelican Club, should be suspended from his office until such time as he should afford an explanation of his connection with the Smith and Slavin fight, which explanation would be laid before a general meeting of the members of the club on Tuesday, January 6th. The indignation of the members of the club knows no bounds, and every effort will be made to discover who were the real instigators of the disgraceful business." It is most likely that the belt and purse will be presented to Slavin on January 14th, when the club move into their new premises. The following letter has been addressed by the pugilist, F. P. Slavin, to the Pelican Club:— "In reply to your very kind and encouraging letter, accept my warmest thanks for the high compliment you are about to pay me in presenting me with a belt, called the Champion of England belt. You may rely it will be my duty, as it has been all through my career, to do my best to win any contest I may enter into in a fair and manly manner. — Again thanking you, I am, sir, yours truly, "F. P. SLAVIN. "Nayland Rock Hotel, Margate." Mr. Fleming's Statement. Mr. Fleming states that the fight was arranged before the boxing match with Jackson. He went over to Belgium and selected the ground. As regards the rough element present, he did not know one of the men. No doubt they were engaged by some friends of Smith. The only persons who went across with them were four or five gentlemen. All connection between Smith and him had ceased, as he felt that he could not act in any way for Smith after what had occurred. Every fight that he had previously had the management of had always been brought off without the intrusion of any of the rough element at the ring side. He took no part in the proceedings, being merely there as a spectator, and he had not seen Smith since the fight. He did not think that he should have any difficulty in proving that he had no connection with the disgraceful proceedings at the ring side. The Preliminary Arrangements. The preliminaries of the match will, perhaps, be interesting. When, in 1885, Jem Smith, who had made a name among English heavy-weight boxers, met and defeated Jack Davis, of Birmingham, there was a sign of a revival of pugilism in this country. This was increased when Smith fought Alf Greenfield, and, although the battle ended in a draw, it was not long before the "lost art" was freely discussed, and there was every appearance of the revival of the prize-ring. Smith, as will be well remembered, fought a memorable battle with Jake Kilrain, who came from America to wrest the championship honour from the Englishman. John L. Sullivan, the Boston Boy, soon followed, and, although he failed to beat Charles Mitchell, his claim to the title of champion of the world was made good last July, when be met and defeated Kilrain. Then came new stars in the firmament of boxers, but glove-fighting had almost extinguished the "old style." Prominent among the late arrivals were Peter Jackson, a coloured man, and Frank P. Slavin, both hailing from Australia. Their records were of the highest calibre, Slavin having been successful in all the nineteen contests in which he had engaged, either with gloves or with bare hands, while Jackson's was but little less noticeable. The latter, however, carried all before him in America, and then sought fresh fields in England. Only a few weeks ago he vanquished Jem Smith in a couple of rounds. Slavin arrived in London a week prior to Jackson, and, after a lengthy wait, he was accommodated with a match. No one but W. Goode cared to meet him with the gloves, and Goode was easily disposed of. After signing articles to fight Jem Smith under prize ring rules, both men went into training, Smith at Newmarket, under the care of Jem Howes, and Slavin at Margate, with Fred Symes as mentor. The most difficult part of the arrangements had yet to be settled, and it was not without great trouble that a battle ground could be selected which afforded facilities for the accommodation of a party of sportsmen to witness the contest. At length a point was pitched upon near the Belgian capital, easy of access and fairly safe from interference. Another difficulty now arose over the appointment of a referee, and no less than five good men were named, all of whom were in turn objected to by Smith. The possibility of this having been foreseen it had been stated in the articles that the two parties failing to agree, the stakeholder, Mr. C. W. Blacklock, should appoint that official. This he did with satisfaction to both parties, naming Mr. J. Vesey, a well-known sporting man, to act. The stakes had then been increased to £500 a side. There is a great difference in the physique of the two men. Slavin stands 6ft. 1in., and scales in condition thirteen stone, is a very muscular athlete, and particularly quick on his legs; while Smith is of the sturdy order, and is only 5ft. 8¹/₂in. high. His weight when fit is 12st. 10lbs., and although his muscles are very massively developed, giving proof of great strength, he has not the quick hitting power of the Australian. Performances of the Men. Frank P. Slavin, the champion of Australia, was born on January 27, 1863, at Maitland, N.S.W. He stands 6ft. 1in. in his stockings, and in condition scales 13st. 5lb. or 13st. 6lb. Shavin served his time or apprenticeship to a coachbuilder and blacksmith, and first came out as a pedestrian. After winning several competitions as an amateur, Slavin's first fight was with knuckles against M. Power for £50 a-side, and he won after seven rounds, lasting thirteen minutes. He then beat Jem Burke with two-ounce gloves for £200 a-side and the championship of Queensland, winning in three rounds. This was in December, 1885, and in 1886 he went to Sydney and entered into an engagement with Larry Foley. Here Slavin met Taylor, a pupil of Jackson's, for a purse with small gloves, and stopped him in two rounds. He was then matched with a big follow named Bligh for £10 a-side, and beat him in one round. After a rest of two months articles were signed for him and Mike Dooley to box for £100 a-side, and Slavin won in nine rounds. He next met Mike Costello, an American, a good man, and after a big battle in Sydney, lasting two hours and a half, a draw was the result. Another match was made for £400, and £50 a-side was posted, but Costello forfeited this. Afterwards Slavin's backers matched him for £25 a-side to stop Costello in six rounds, but the latter is very clever and tricky, and lasted the time. Subsequently Slavin journeyed to Sydney, and finding Mike there, challenged him again. The result of this was a match for £100 a-side with skin gloves, which Slavin won in twenty minutes. Slavin at this time had any amount of backing, and issued a challenge to fight Peter Jackson for £250 a-side and the championship. Jackson's party wanted a match with gloves for a purse. They could not, however, come to terms. In January last year the Australian made a trip to New Zealand. The first man put up was Smith, who was backed to stand four rounds, but he had had enough at the end of the first. In Dunedin Slavin beat a big fellow in four minutes, and journeyed a long distance to fight Laing, the champion. The pair were matched for  £200 a-side, and fought with two-ounce gloves at Wanganui, Laing failing to come up at the end of the fifth round. After this Slavin returned to Melbourne, and met Jack Burke, but after Slavin had had all the best of it, the contest was declared a draw. Mike Dooley was now in Sydney, and issued a challenge to him. This led to a match for £200 with small gloves, which ended in Mike being knocked out in 2min. 40sec. Slavin returned to Melbourne, and fought Burke, Slavin undertaking to stop him in six rounds; £200 a-side was put up and the two fought with six-ounce gloves, and agreed to divide the gate, and Burke was beaten in the middle of the third round. Previous to this Billy Farnan, the conqueror of Jackson, and Slavin, fought for £200, with the result that the latter added another winning bracket to his name, Farnan failing to answer to the call of time in the third round. He then received forfeit from Woolf Bendoff. An easy victory over Bill Buck in two rounds followed. He then came to England, and his late victory in his glove fight with the plucky young Englishman, W. Goode, must still be fresh in the memory of our readers. Jem Smith was born in Whitecross-street on January 21, 1863. He stands 5ft. 8¹/₂in. high, and weighs in condition 12st. 10lb. Round the chest he measures 43¹/₂in.; waist, 36¹/₂in.; hips, 41in.; thigh, 24¹/₂in.; calf, 16³/₄in.; biceps, 15¹/₂in. For some years he was employed in one of the metropolitan timber yards, but developing a taste for boxing after one or two rough-and-tumbles with his fellow-workmen, he was taken in hand by Jack Knifton ("eighty-one tonner") and later by Mr. F. Grimm, of the Central Club. His first success was in a competition at the Griffin, Shoreditch. Later on he beat Snowey, of Holloway, and was then matched to box Harry Arnold with gloves for a £10 purse. The affair was looked upon as a good thing [Col. 5c–6a] for Smith, but it took him nearly an hour to polish off this last opponent, though he had slightly the best of the encounter from start to finish. Smith's next engagement was with Woolf Bendoff to box to a finish with gloves for £25 a-side, which came off at an East-end club. In this contest Smith injured his right arm, but, nevertheless, proved successful at the end of twelve  rounds. Smith also won Tom Symonds's All-comers' Competition on February 26, 1885, at Bill Richardson's, defeating Sugar Goodson, Jack Wannop (the wrestler), and Tom Longer. Smith's next battle was with Jack Davis, for £100 a side and the championship, on the turf, and came off on the borders of Surrey and Sussex on Wednesday, December 17. In all six rounds were fought, occupying 7min. 56sec., Davis being knocked out of time with a swinging right-hander. He subsequently met Alf Greenfield, of Birmingham, for £300, at Maisons-Laffite, near Paris, on Tuesday, February 16, 1886. Thirteen rounds were fought, mostly in Smith's favour, and the men fell, whereupon a cry of foul was raised by Greenfield's party, and a crowd of roughs broke into the ring, stopping the fight. The referee (Jem Mace), at the request of the principal backers of the men, agreed to decide the battle a draw. Soon after Smith was matched to fight Knifton, the "eighty-one-tonner" as he is called. This proved a fiasco. The memorable struggle between Smith and Kilrain, brought off on an island in the Seine, came next, darkness putting an end to the affair, which also resulted in a draw, after the men had faced each other for 106 rounds, on December 19th, 1887. This brings us to his ten-round glove contest with Jack Wannop, Smith laying £250 to £200, and winning easily. After which, as all the pugilistic world knows, Smith was easily defeated by the coloured champion, Peter Jackson, in a glove fight at the Pelican Club, the last named winning on a foul by Smith, who was at the same time well beaten.<ref>"The Great Prize Fight. £1,000 in Stakes. Brutal Scenes in the Ring." ''Reynolds's Newspaper'' 29 December 1889, Sunday: 1 [of 8], Col. 4a–6a [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000101%2F18891229&page=1&article=006&stringtohighlight=mandeville+viscount. Same print title, n.p.</ref> </blockquote> === The ''People'' === On Sunday, 29 December 1899, the ''People''<blockquote>Disgraceful Scenes. Expressions of indignation. The prize fight between Jem Smith, who poses as the fistic "champion of England," and Frank Slavin, the Australian champion, took place early on Monday, and resulted in perhaps the most disgraceful scene ever witnessed in connection with the history of the prize ring. Various spots, both at home and abroad, were from time to time named as the possible battle-field, but finally it became known to a certain select few that an English gentleman, Mr. Atkinson-Grimshaw, residing near Bruges, Belgium, had placed his grounds at the disposal of the combatants. In London it soon became known that the principal supporters of the Englishman had caused a number of Birmingham ruffians to be hired for the purpose of making a "strong corner." The betting changed directly to short odds on the Australian, and also evens, while  offers of 30 to 20 that "Smith did not lose" proclaimed that some ugly and disreputable manœuvres would be attempted. The ring was pitched on a splendid piece of turf — the lawn tennis ground, in fact — and about forty persons assembled, including Viscount Royston, [[Social Victorians/People/Mandeville|Viscount Mandeville]], Mr. Abington, Mr. Harris, Mr. W. Riley, Mr. F. Kotchie, Mr. Ike White, the Hon. M. Sandys, Mr. E. Bayley, Mr. C. Parsons, Mr. J. Kilby, Mr. C. Morton, and other well-known "sports." Smith was dressed first, and and [sic] had to wait a few minutes for Slavin. The Englishman appeared in white flannel drawers, white socks, and lace-up boots, while the Australian wore black drawers, blue socks, and lace-up boots. Harper and Baldock were seconds, Howes bottle-holder, and Mr. Fleming umpire for Smith; Cosnett and Bob Kirby, Mr. Taylor, and Mr. W. Riley acting in similar capacities for Slavin. Mr. Joe Vezey officiated as referee and Mr. Calder as timekeeper. The Fight. The men were in the ring at 8.25, and ten minutes later the fight began. After the first two rounds everything went in favour of Slavin, who in the third round knocked Smith clean off his legs with a terrific right-hander. He repeated this operation four or five times subsequently, and surprised many of the spectators by the determined way in which he fought. Smith looked very serious on coming up for the fourth round. At this time a suspicious movement was noticeable among the brigade of Birmingham ruffians, and one of them came round to the colonial's corner with no good intentions. Had it not been that Mick Taylor and Frank Hinde kept zealous guard over all the water provided for the use of the combatants, there is no knowing what fiendish trick might not have been perpetrated. Getting to close quarters, Slavin delivered heavily right and left on Smith's body, the latter being very slow in responding to this vigorous attack. He had, however, other assistants, for a vile ruffian from over the ropes deliberately struck Slavin a blow on the head. A shout was at once raised, but when charged with it the rascal denied that he had done anything. A scuffle ensued between the men, and to escape from the difficulty Smith cross-buttocked his opponent, who fell. In the fifth and sixth rounds Slavin again brought Smith to the ground, and made a nasty gash on his forehead. All this time the most horrible language proceeded from Smith's corner. In the seventh round a desperate rally took place, during which Smith fought Slavin on to the ropes, and there held him. Here was a grand opportunity for the miscreants, who did not fail to make use of it. One of them kicked Slavin repeatedly, and others beat him about the head, knuckle-dusters and life preservers being used. Slavin during the progress of the eighth round further received a couple of smart blows from a stick which a cowardly ruffian carried. Taking not the smallest notice of these interruptions Slavin pursued his legitimate opponent, both Smith's seconds following him about and jeering in his face. The referee entered the ring, and cautioned the seconds to move away. This had very little effect, and in the midst of half-arm fighting of a very severe kind, Smith was one more brought to the ground. In the ninth round the Australian again ventured into Smith's corner, and the fighting brought him close to the ropes. The  Birmingham mob here set about Slavin with great brutality, kicking him and punching him on all parts of the body. Getting away from the ropes Slavin let go the right, and, reaching Smith's mouth, caused the blood to spring forth profusely, bringing the Englishman to grass. The tenth and eleventh rounds were not quite so exciting, but in the twelfth Slavin drove his right with terrific force on to Smith's chin, knocking him clean off his legs. In the thirteenth round the Australian doubled Smith up with a fearful blow under the left ribs, and the Englishman's friends, seeing that Smith was almost beaten, raised a cry of " Police!" Smith was hurried from the ring, but Slavin and his friends refused to budge, and after "Time" had been called they claimed the fight. The referee, who appeared afraid to give a just decision, was surrounded by partisans of Smith, who had meanwhile come back, and eventually ordered the fight to proceed. The next round, the fourteenth, was the last. Slavin fought in a most determined fashion, and when he was punishing Smith heavily, the latter caught the Australian round the waist and held him on to the ropes, whilst the ruffians standing round beat and kicked him in a most cowardly fashion. Amid cries of "Foul," the pair fell to the ground, and, on the men taking their corners, the referee said he would act no longer, as it was perfectly clear Slavin was not to have fair play. This created immense excitement, during which the referee declared the fight a draw, and, crossing to Slavin, said, "I do not want to stay here to see you killed." Afterwards the roughs tried to get at Slavin, who, however, managed to hide in a barn. Later on he went with a few of his friends to Bruges, where he caught the train for Ostend, and came over to Dover, thence proceeding to  Margate. Slavin's Opinion of his Treatment. The following conversation took place during an interview with Slavin, a few hours after the fight:— Did you expect any trouble at the ring  side? — Slavin: Yes, I was prepared for that, as I was constantly receiving letters of a threatening nature, and though these things as a rule are of no account, I had reason to believe there was some truth this time. Besides, I had not forgotten the affair at Astley's Theatre. — Do you feel any effects of the fighting? — Slavin: The fighting? I feel nothing of what I got from any one in the ring; it's what those beauties gave me outside. The only time Smith hit me in anything like form was on the jaw. — Why did you persist in going to his corner? — Slavin: I wanted to get the affair over and enjoy my Christmas dinner, and I knew if the fighting was left to Smith I should want it served in the ring. — Of course you heard a mob was got together for Smith? — Slavin: Yes, I knew all about that, but I relied on British fair play, and expected the referee to do his duty. Directly I got in the ring I saw what the game was, and knew my only chance was to knock Smith out. — What do you think of Smith? — Well, I think so much of him that I'll bet him £200 I stop him in six rounds, but we must have no more private shows. I've had enough of that business. — l suppose you have a poor opinion of English fair play? — Slavin: I have been treated like a prince generally, but I can see the fighting men are easily led astray, and I expected trouble directly Smith objected to a referee. If we served an Englishman in the same manner in Australia we should get drummed out of the town, and rightly too. — What are your plans for the future? Well, I shall stay in England some time and challenge Sullivan, and you might as well cable it over to America for me. — With the gloves? — No. I want to fight him with the knuckles. I think I should get fair play out there. Indignation in London. Directly the news became known in London the greatest indignation prevailed in all the West-end, [Col. 4c–5a] clubs at the dastardly way in which Slavin had been treated. Subsequently some forty or fifty gentlemen proceeded to the Pelican to demand the instant and public repudiation on the part of the committee with any official cognisance of the arrangements for the fight, and also for the summary punishment of those who had dragged dowr [sic] a manly pastime to the lowest depth of degradation and blackguardism. In accordance with these demands, and in full sympathy with them, those members present, conjointly with the proprietor, immediately sent out telegrams summoning an extraordinary meeting of the cornmittee. The Pelican Club Meeting. At the special meeting of the committee of the Pelican Club it was unanimously determined to address a letter of sympathy to Slavin, expressing the appreciation of the committee of "the courage he exhibited in face of the most blackguardly conduct which ever disgraced the ring side.["] The committee added that they fully recognised that he had indisputably established his claim to the championship of England, and they further informed him of their intention to present to him a belt and purse in recognition of his pluck[.] The committee determined that Mr. John Fleming, late manager to Jem Smith, who had hitherto acted as manager of the ceremonies at the Pelican Club, should be suspended from his office until such time as he should afford an explanation of his connection with the Smith and Slavin fight, which explanation would be laid before a general meeting of the members of the Pelican Club on Tuesday, January 7th. It is most likely that the belt and purse will be presented to Slavin on January 14th, when the club will move into their new premises. While Salvin was at the Stock Exchange on Tuesday, a subscription in his interest was started, and £110 was quickly subscribed. Slavin Challenges J. L. Sullivan. Frank Slavin, the champion of Australia, is prepared to meet John L. Sullivan, under London prize ring rules, for £500 or £1,000 a side and the championship of the world. Slavin has lodged a sum of £100, and will contest the title with Sullivan in either America or Australia in six months from signing articles. We have cabled this challenge to Mr. R. K. Fox, of New York, and the money lodged with him or the editor of the ''Sportsman'' will lead to a match.<ref>"The Smith-Slavin Fight." ''The People'' 29 December 1889, Sunday: 16 [of 16], Col. 4a–5a [of 5]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000729%2F18891229&page=16&article=150&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === The ''Sportsman'' === On Monday, 30 December 1889, the ''Sportsman'' printed a list of people and organizations that had contributed to the "testimonial" fund for Slavin as well as some letters to the editor about the Slavin-Smith match:<blockquote> A committee meeting of the above was held on Saturday afternoon, Mr W. J. Innes in the chair.  There were also present Mr W. Riley, Mr Fred H. [Gala?], Mr C. Parsons, Mr A. Butler, Mr M. J. Harrow (Margate), Mr Ike White, Mr E. C. Irish, and Mr G. T. Dunning (hon. sec. and treasurer). The chairman read a letter from Mr John Lees, regretting his inability to attend owing to illness, whilst the remaining committeeman, Mr E. W. Bayly, was absent in Paris. The appointment of the hon. sec. and treasurer was confirmed by the committee, and after some discussion it was decided to close the subscription-list on Monday, January 20, and to present the proceeds to Slavin at the Cambridge Music Hall, Bishopsgate-street, on a day to be named. Other business of minor importance was transacted, and after the next committee meeting had been fixed for Wednesday, January 15, the meeting closed with a vote of thanks to the chairman. Additional subscriptions to the fund, which now reaches 300''l''., will be found appended [names set as unordered list to save space, £ ''s.'' ''d.''] * Lord Mandeville 2 2 0 * Lord Royston 2 2 0 * Lord James Douglas 2 2 0 * Hon. Michael Sandys 2 2 0 * Fred Kotchie 2 2 0 * Mr Ike White 2 2 0 * Mr W. Riley 2 2 0 * Mr C. Parsons 2 2 0 * Mr J. Kilby 2 2 0 * Mr Frank Hinde 2 2 0 * Proprietors of The Sportsman 2 2 0 * Mr. J. Purdey 2 2 0 * Mr. E. W. Bayly 2 2 0 * Messrs H. A. Domby and Son 2 2 0 * "Caption Coe" 2 2 0 * Mr C. W. Bulpett 2 2 0 * Mr P. W. Carr 2 2 0 * Mr W. Morley Pegge 2 2 0 * W. D. S. 2 2 0 * J. E. S. 2 2 0 * Mr W. H. Grenfel 2 2 0 * Mr Quartermaine East 2 2 0 * Mr H. H. Hungerford 2 2 0 * Mr Noel Fenwick 2 2 0 * Sir John Leslie, Bart. 2 2 0 * Mr T. Brinkman 2 0 0 * Mr Calder 1 1 0 * Mr H. W. Hill 1 1 0 * Mr John Young 1 1 0 * Mr D. A. Neilson 1 1 0 * Mr W. Neilson 1 1 0 * Mr Julius Simon 1 1 0 * Mr J. Edge 1 1 0 * Mr H. Marshall 1 1 0 * Mr F. Aynsley 1 1 0 * Col. Hon. Wellesley 1 1 0 * Mr Charles Hawtrey 1 1 0 * Mr W. F. Ashton 1 1 0 * Mr Barratt 1 1 0 * Old Durham Ox 1 0 0 * Sir John Willoughby 1 0 0 * A friend, per C. H. A. 0 10 6 * Mr Ben Giles 0 10 6 * Mr Tom Vale 0 10 6 * [E.?] W. 0 10 6 * Officer 0 10 0 * Per Mr Ike White, Exchange Club: ** S. W. 2 2 0 ** Mr G. B. Knight 1 1 0 ** Mr A. Powles 1 1 0 ** Mr S. Blandford 1 1 0 ** T. F. W. C. 1 1 0 ** Mr Leo Harward 1 1 0 ** Mr J. Harward 1 1 0 ** Mr H. Harward 1 1 0 ** Mr [Monteagle?] [Moutcagie??] 1 1 0 ** Mr C. Orate 0 10 6 ** W. G. P. 0 10 6 ** H. R. T 0 10 6 ** Mr Josiah Smith 0 10 6 ** W. H. R. 0 10 6 ** Mr R. Wilson 0 5 0 * Per Mr M. J. Harlow, Margate: ** Mr A. H. [Cosi? Coni?] 2 2 0 ** Mr J. Thurston 1 1 0 ** Mr J. A. Fagg 1 1 0 ** Mr F. [Miles?] 1 1 0 ** Mr Adolphe [Drineqbeir?] 1 1 0 ** Mr Ernest [Drineqbier?] 1 1 0 ** Mr Lacy Brown 1 1 0 ** Mr Algy Brown 1 1 0 ** Mr M. J. Harlow 1 1 0 ** An Admirer 1 1 0 ** Mr J. W. Robinson 1 1 0 ** Mr W. Searles 1 1 0 ** Mr J. Smith 1 1 0 ** Mr J. Hume 1 1 0 ** Mr J. Painter 1 1 0 ** A Scotchman 1 1 0 ** Mr J. Mundell 0 10 6 ** Mr Bob Redman 0 10 6 ** Mr G. A. Body 0 10 6 ** Mr J. Phipps 0 10 6 ** Mr J. Doughty 0 10 6 ** Old Fisherman 0 10 6 ** Mr Joe Knott 0 10 6 * Per Mr B. J. Angle ** Some mebers of the Stock Exchange 125 0 0 ** Hr Henry J. Turner 2 2 0 * Per Mr W. J. Innes: ** Mr Sidney Fry 2 2 0 ** Mr W. J. I. 2 2 0 ** Mr W. Schlesinger 2 2 0 ** Mr Joseph Thompson 2 2 0 ** Mr Barney Thompson 2 2 0 ** Mr L. Meyers 2 2 0 ** Mr W. Shoe 2 2 0 ** Mr George Cooper 2 2 0 ** Mr J. T. Crossley 2 2 0 ** Mr Andy Anderson 2 2 0 ** Mr G. M. T. 2 2 0 ** Mr F. R. 2 2 0 ** Mr W. Bertram 1 1 0 ** Mr J. W. Hammon 1 1 0 ** Mr Alec Harris 1 1 0 ** Mr John Isaacs 1 1 0 ** Mr Edward [Dance? Dasce?] 1 1 0 ** Mr George Blanchett 1 1 0 ** Mr F. [Leleu? Lolou?] 1 1 0 ** Mr W. J. R. 1 1 0 ** Mr H. C. 1 1 0 ** Mr A. A. M. 1 1 0 ** Mr D. W. Fowler 0 10 6 * Per Mr F. H. Gale: ** Mr R. Moore 2 2 0 ** Mr A. H. Goode 2 2 0 ** Mr [B.? E.? R.?] J. G. Goode 2 2 0 ** Mr F. H. Gale 2 2 0 ** Mr H. Ulph 1 1 0 ** Mr J. Hooper 1 1 0 ** Mr C. Kittall 1 1 0 ** Mr C. Moore 1 1 0 * Per Mr W. Riley: ** Mr Brand (Wiltshire) 2 2 0 ** Mr Charles Godfrey 2 2 0 ** Mrs Lane (Britannia) 2 2 0 ** Mr Sam Adams 2 2 0 ** B. and M. 0 7 6 * Per Mr A. Cockburn: ** Mr Richardson 2 2 0 ** Mr A. Cox 1 1 0 ** Mr Hy. Brackenbury 1 1 0 To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir,— From the evidence of your eye-witness reporter there seems to me the clearest possible case against Smith, Harper, and Baldock — that Smith held Slavin on the ropes while the roughs kicked and "knuckle-dustered" him, that Harper put his knee on Slavin when down, and that Baldock did likewise, and that throughout they advised Smith to stand like a coward under the protection of the savages till the instinct which filled Slavin's manly bosom prompted the honest outburst to Smith, "Come and have a round." The duty for sportsmen to fulfil with the assistance of their representative journal, is, firstly, to see that Slavin is elected Champion and that he is handsomely recompensed, and that these so-called "seconds" should be properly punished and our splendid timber-yard Champion put in his proper place. The names of those who hired the roughs should also be published. I have spoken to at least fifty patrons of boxing shows, and one and all have made the most positive and determined objection to supporting any entertainment where the three men named above are concerned directly or indirectly. They, by their own stupidity and cupidity, have put the last nail in their own coffin, I hope. With regard to the referee, this individual is decidedly unsatisfactory. He allowed Smith to bolt when the cry of "Police" was raised without disqualifying him in any way, and then put an end to the business by declaring it a draw. Now, if the said referee is not a determined or courageous man, then he acted to the best of his judgment, for he was afraid of personal violence, having literally to escape to London; but on his arrival here, I and numberless others naturally expected some explanation or a reversal of his decision. The whole sporting community are on the tiptoe of excitement, and Mr Vesey in the coolest  possible manner washes his hands of the affair, declining absolutely to expose any opinion. This is rather rough on the public considering that be consented to act as referee of his own free will, and he is no chicken in such matters. He does not tell us whether he is aware that he has the power to reverse a decision given under fear; nor does he say whether he still considers the decision made on the spot a happy one. How was it that no steps were taken to protect the referee? There is no legitimate courage in the Brummagem rough. He is an imposter. With assistance of our excellent so-called Champion, and about another ten, armed with knuckle-dusters, he will doubtless attack Slavin, and if a torrent of filthy, cowardly abuse could kill he would beat Slavin single-handed. One of these gallant gentry actually returned to Birmingham without going to Bruges, being positively afraid to chance crossing the tiny stretch of sea. An American reader will bear me out that had our unsatisfactory referee been under the protection of one single genuine Nebraska "tough," as they are called out there, he would, without uttering one word of bad language, have cleared out the lot had they attempted violence to his charge. But it would never have come to that, for the sight of a real, genuine armed rough, with determined set features, would have struck terror into the hearts of the pluckless Brum shoddy bully, with the proverbial dull, stupid, animal-like pudding face. As an Englishman I [Col. 1c–2a] positively feel guilty among my American friends when they ask me what about my vaunted British fairplay, and I quite fail to see or understand how "seconds" — no matter, for argument's sake, how dishonest they may be can such fools as to kill the goose which lays their golden eggs. Prize-fighting and boxing are their bread-and-butter, and some of those who accepted the assistance of the roughs in the recent important international fight must have surely prognosticated that trouble and disgrace would follow, and they of all men should have been the last to wantonly risk breaking up one of our favourite English sports. In conclusion, contrast the courage of the two men. Slavin practically fought about six men, not knowing the moment that one well-directed blow from a "duster" might have cost him his life or lost him the fight. Think of his manly appeals to the cowards for a few minutes' fairplay. I only wish they each had to have four rounds singly with him! — Yours, &c., A Lover of Boxing. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Previous to the late show of ruffianism I was in sympathy with and respected Smith as the Champion, but I am grieved to say that nothing of late years has so thoroughly disgusted me as the ill-treatment which was meted out to Slavin by those who disgrace not only sport but the very name of man. I sincerely hope that Slavin will still continue to think that one of the dearest wishes of the true sportsman of this country is to see fair play. I enclose my mite in the shape of one guinea, and subscribe myself, yours, &c., Leicester, December 28. J. Barrett. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Herewith I inclose cheque 1''l''. 1''s''. to the Slavin Fund, and hope that his manly and honourable conduct will be well rewarded. I cannot, however, agree with those who hope "that we have seen the last of prize-fighting," and other sentiments of the kind. It will be an evil day for England when the fighting instinct dies out from among her sons. No, let us rather hope that the Slavin-Smith ''fiasco'' will be the beginning of a new era, and that for the future fights will not be allowed to take place without proper ring-keepers, as in the days of Spring, Langham, and Bendigo, and that the Championship of England will not be long without a native defender.—Yours, &c., J. W. B. C., Junior Carlton Club, December 27. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — l beg to inclose you the sum of one guinea, my subscription to the Slavin Fund. I was indeed sorry to read of the outrageous and murderous treatment Slavin received from Smith's supporters, which support was tacitly sought after by Smith not leaving his corner and meeting his man in the centre of the ring, as any Englishman should have done that presumed to call himself "England's Champion." I feel quite certain that had this outrageous conduct passed away without the strong condemnation it received at all good sporting men's hands in this country, and the hearty and the thoroughly unanimous sympathy expressed for Slavin, the good feeling and perfect bon accord that has existed between the sporting fraternity of the two countries, New and Old England, would soon have ceased to exist. Australians are great stickers to and warm supporters of England and the English, and they will all feel most keenly the slur cast upon "British fair-play and courage." — Yours, a lover of it, Sydney Galvayne. York, December 26. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Enclosed you will cheque for one guinea as a simple tribute to Slavin, who so squarely held his own, and who should not be looked upon as a stranger in a strange country, but as a cousin Englishman, who deserves support, not only as a true sportsman but also against the fearful ordeal of ruffianism to which he has been subjected. As a lover of fair play believe me, yours faithfully, Birmingham, December 27. Tom B. Sharp. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Please add 9''l.'' 14''s.'' to the list I have already sent you for Slavin testimonial, and oblige, yours, &c., I. White. Exchange Club, Queen-street, Cheapside, Dec. 28.<ref>"The Ring. The Slavin Testimonial." ''The Sportsman'' 30 December 1889, Monday: 4 [of 4], Col. 1a–2b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18891230&page=4&article=020&stringtohighlight=mandeville+viscount. Same print title and p.</ref> </blockquote> On 9 January 1890 in part of a much larger partisan report with critiques of the investigative committee, its chair and its results as well as other newspapers printing rumors:<blockquote>JOHN L. SULLIVAN ON ENGLISH FAIR PLAY. {{paragraph break}} J<small>OHN</small> L S<small>ULLIVAN</small> has been speaking his mind on the Smith-Slavin fight to some purpose. "I can't see how an English fighter can be beaten," he said. This man Smith is little better than a middle-weight, and I haven't the slightest doubt that Slavin beat him fairly. Some people wonder why I did not go to England to fight Smith. Now you understand why I insisted on meeting him in this country. In England fair play is unknown. The man with the greatest number of 'heelers' always wins or saves himself from defeat. Slavin or Jackson will, in all probability, look for a match with me when they arrive in this country, and | am perfectly willing to meet either or both of them for a proper consideration. I want a big purse, and I am not particular where I fight so long as it is in a club-house. No more law-breaking for  me."<ref>"The Late Fight. Meeting of the Pelican Club. Stormy Proceedings. The Committee Resigns." ''The Sportsman'' 9 January 1890, Thursday: 4 [of 4], Col. 3b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18900109&page=4&article=049&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> Also on January 9, the ''Sportsman'' reported on a collection made for Slavin:<blockquote>THE SLAVIN TESTIMONIAL {{paragraph break}} The subscriptions towards the above now amount to over 400''l.'', and it having been decided to close the list on the 20th, the committee will be obliged if those who have promised donations will forward the same to the hon. sec. and treasurer, Mr. G. T. Dunning, T<small>HE</small> S<small>PORTSMAN</small> Office.</blockquote> {| class="wikitable" ! !£ !s. !d. |- |Amount already acknowledged |407 |3 |6 |- |Mr E.Tabernacle |1 |1 |1 |- |H. S. |1 |1 |0 |} <blockquote>The guinea acknowledged per Mr Riley, from C. R., yesterday, should be from C. K.<ref>"The Late Fight. Meeting of the Pelican Club. Stormy Proceedings. The Committee Resigns." ''The Sportsman'' 9 January 1890, Thursday: 4 [of 4], Col. 3b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18900109&page=4&article=049&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === The ''Huddersfield Daily Chronicle'' === On 10 January 1890:<blockquote> Mitchell and Lord Mandeville. As an addendum to the important meeting of the Pelican Club committee, on Wednesday, came a gathering of "sports" at the Trocadero, Piccadilly Circus. Lord Mandeville and Mr. Abington., who had been in attendance at Denman-street, were joined by "Pony" Moore, his son-in-law, C. Mitchell, J. Carney (the Birmingham light-weight), J. Baldock, B. Habbijam, C. Bates, &c. The party, who occupied seats in the stalls, naturally discussed things pugilistic, the talk being mostly devoted to the recent international fight between Frank P. Slavin and Jem Smith. " [sic] The Squire's opinions on the matter happened not to coincide with those of Mitchell, and high words were exchanged between the pair. Suddenly the Birmingham boxer jumped up and "went for" Mr. Abington, but did not strike him. Lord Mandeville immediately interposed and asked Mitchell to be quiet, whereupon the latter directed his attention to his lordship, and struck him sharply on the forehead. Carney and Baldock sprang to his lordship's assistance, and Mitchell and "Pony" Moore at once left the building, the whole proceedings not lasting longer than a few seconds. It soon became noised abroad that there was "something up," and a crowd gathered, but the police saw Mitchell and Mr. G. W. Moore safely across the road.<ref>"The Smith-Slavin Fight." ''Huddersfield Daily Chronicle'' 10 January 1890, Friday: 4 [of 4], Col. 6b [of 6]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0002876%2F18900110&page=4&article=071&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> After the Pelican Club meetings, Slavin comments:<blockquote>On Wednesday at Westminster Aquarium, F.  P. Slavin, the colonial pugilist, who received such bad treatment at the hands of roughs in his recent prize-fight with Jem Smith, the English "champion," made his first public appearance since the fight. Mr. Frank Hinde, in introducing Slavin, said he would give an exhibition with Cosnett of Birmingham, who seconded him in his fight. Slavin was the gamest man that ever  stepped into a ring, he hoped the audience would rive him a good old English welcome. On appearing on the stage Slavin met with a most enthusiastic reception, and the three rounds' sparring with Cosnett was much appreciated. At the conclusion Slavin, in response to loud calls, bowed his acknowledgments.<ref>"Slavin at the Royal Acquarium." ''Liverpool Weekly Courier'' 11 January 1890, Saturday: 3 [of 8], Col. 5a [of 8]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0003067%2F18900111&page=3&article=042&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === ''Reynolds's Newspaper'' === ''Reynolds's Newspaper'' quotes J. L. Sullivan on the Smith-Slavin match:<blockquote>Mr. John L. Sullivan has been speaking his mind on the Smith-Slavin fight to some purpose. "I can't see how an English fighter can be beaten," he said. "This man Smith is little better than a middle-weight, and I haven't the slightest doubt that Slavin beat him fairly. Some people wonder why I did not go to England to fight Smith. Now you can understand why I insisted on meeting him in this country. In England fair play is unknown. The man with the greatest number of "heelers" always wins or saves himself from defeat. Slavin or Jackson will in all probability look for a match with me when they arrive in this country, and I am perfectly willing to meet either or both of them for a proper consideration. I went a big purse, and I am not particular where I fight so long as it is in a club-house. No more law-breaking for me."<ref>"The Recent Prize Fight." ''Reynolds's Newspaper'' 12 January 1890, Sunday: 6 [of 8], Col. 4a–b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000101%2F18900112&page=6&article=053&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === The ''Cork Constitution'' === About Mr G Baird (Mr. Abington) from the ''Cork Constitution'':, referring at the end to the [[Social Victorians/Boxing/Fracas at the Trocadero|Fracas at the Trocadero]] or a restaurant:<blockquote>This well-known sportsman (Mr G Baird) who is occupying an unenviable position owing to his conduct at the Smith-Slavin piece of brutality, is the largest owner of race horses in England. He has no less than 100 horses in training, and though he won £10,000 in stakes last year it is computed that he should have won £25,000 additional to even pay his way. Anent that fight which has caused such indignation in the country, a London music hall was last week the scene of a pretty disturbance. Mr Abington and Lord Mandeville occupied a box during the entertainment, and received, amongst others, Charlie Mitchell, the well-known pugilist; an angry discussion ''re'' the fight ensued, and concluded by the peer measuring himself on the floor from one Mitchell’s "lefts."<ref>"Mr. Abington." ''Cork Constitution'' 14 January 1890, Tuesday: 7 [of 8], Col. 5b [of 6]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001648%2F18900114&page=7&article=099&stringtohighlight=mandeville+viscount. Same title and p.</ref></blockquote> === The ''Colonial Standard and Jamaica Despatch'' === This report from the ''Colonial Standard and Jamaica Despatch'' mentions fighting in the streets (at a corner in Fleet Street) and tosses in an unrelated sentence about an upcoming match between a West Indian and J. L. Sullivan:<blockquote>The disgraceful affair, called by courtesy and [sic] "International Prize Fight," which desecrated the peaceful dignity of the quaint old city of Bruges on Monday morning ought to convince people that there is nothing left to hope for in the Prize Ring. [2c–3a] At eight o'clock in the morning, Jem Smith, self-styled Champion of England, and Frank Slavin, the Australian Champion, with their seconds and parties, met in the grounds of a private gentleman to try conclusions. The "fight" lasted for twenty-five minutes, and was then brought to an abrupt conclusion by the referee declaring it drawn — he would have been killed had he given it to Slavin, who proved to be incomparably the better man. Fourteen rounds were fought in all, during the whole of which time Smith's friends and Smith's seconds worried, and at last assaulted, the Australian, who behaved quite pluckily. It is a disgrace to the name of Englishmen that this brutal scene should go forth to the world. Smith's backers knew well that he had no chance of winning, so they laid their plans to smash Slavin on their own account. It is a wonder that he was not killed — as was reported in Fleet-street at ten o'clock — for Smith's roughs struck and kicked him whenever he came near their corner. Although Lord Mandeville, Lord Rosslyn, Sir M. Sandys, and a few other members of the upper circle, were present at the fight, the bulk of the spectators were the refuse of the gambling rings of London, blackguards and ruffians of the deepest dye. The stakes were £1,000. So great an amount of indignation has been expressed on all sides at the treatment to which the Australian was exposed, that a subscription has been opened up for him. The West Indian, Jackson, is just leaving London for San Francisco, in order to get ready to meet J. L. Sullivan.<ref>"London." ''Colonial Standard and Jamaica Despatch'' 16 January 1890, Thursday: 2 [of 4], Col. 2c–3a [of 6]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0004059%2F18900116&page=2&article=019&stringtohighlight=mandeville+viscount. Same print title, n.p.</ref></blockquote> == Notes and Questions == # ==References== {{reflist}} 3ddkalqbkm1cu1m5em0bq24th55k272 2844347 2844242 2026-11-03T22:55:15Z Scogdill 1331941 2844347 wikitext text/x-wiki =Event= International championship boxing match between British Jem Smith and Australian Frank Slavin on 23 December 1889 in Bruges, Belgium. ==Overview== On 23 December 1889 a championship boxing match in Bruges ended with cheating on the British side: British Jim Smith was losing, so his supporters entered the ring, took advantage of Smith's holding Australian Frank Slavin and beat him up, using fists, sticks, "knuckle-dusters," "life preservers" and boots. The referee ruled the match a draw to prevent Slavin from being killed and then fled. The ''Cork Constitution'' called it "the Smith-Slavin piece of brutality."<ref>"Mr. Abington." ''Cork Constitution'' 14 January 1890, Tuesday: 7 [of 8], Col. 5b [of 6]. ''British Newspaper Archive''https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001648%2F18900114&page=7&article=099&stringtohighlight=mandeville+viscount. Same title and p.</ref> A knuckle-duster was "A metal instrument made to cover the knuckles,"<ref>“Knuckle-duster, ''N.''”  ''Oxford English Dictionary'', Oxford UP,  December 2024, https://doi.org/10.1093/OED/6130372797.</ref> like brass knuckles, and a life preserver was "A stick or truncheon weighted at one end" with lead.<ref>“Life-preserver, ''N.''”  ''Oxford English Dictionary'', Oxford UP,  September 2026, https://doi.org/10.1093/OED/1055046410.</ref> One meeting of the boxing-oriented London Pelican Club was held almost immediately. Then a series of meetings following an investigation occurred in the first week of January (the [[Social Victorians/Boxing/Pelican Club Meeting Smith-Slavin match|Pelican Club meetings]] referred to below). Slavin followed this fight with a challenge for American John L. Sullivan, saying he would fight in America or Australia, but not in a private venue in England. Many, many newspapers covered this fight and the reaction to it in the boxing community. Copy-and-paste journalism and the lack of copyright laws means that many of the stories are all or in part identical to others, so no attempt has been made to offer complete coverage. ==Logistics== * 23 December 1889, 8:00 a.m. * Stakes: £1,000 ==Related Events== * [[Social Victorians/Boxing/Pelican Club Meeting Smith-Slavin match|Pelican Club Meetings about the Smith-Slavin match]] * the "[[Social Victorians/Boxing/Fracas at the Trocadero|Fracas at the Trocadero]]" ==Who Was Present== # [[Social Victorians/People/Mandeville|Kim Montagu, Viscount Mandeville]] # Jem Smith, British boxer # Frank Slavin, Australian boxer # Lord Rosslyn # Sir M. Sandys # Mr. G. Abington Baird, Smith's manager? and horseman (see description in Anthology) ==Entertainment== ==Anthology== The Sportsman The Tuesday, 24 December 1889 issue of ''The Sportsman'' devoted page 3 (7 columns) entirely to this story. This reporter's writing style is very ornate, and he also uses slang and local vocabulary: sabots, Brums, Newspaper Title: The Sportsman 24 December 1889, Tuesday: 3 [of 4], Col. 1a–7c [of 7]. British Newspaper Archive https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18891224&page=3&article=057&stringtohighlight=mandeville+viscount. Same print title and p. THE GREAT FIGHT. SMITH & SLAVIN FOR £1000. DISORDERLY PROCEEDINGS. BRUTAL ATTACK ON SLAVIN. SMITH KNOCKED DOWN REPEATEDLY. HE LEAVES THE RING. A DRAW DECLARED AFTER 14 ROUNDS. The long-talked-of fight between Jem Smith, Champion of England, and Frank P. Slavin, Champion of Australia, took place between eight and nine o'clock yesterday morning in the private grounds of a gentleman's residence near Bruges, Belgium. The contest, as everybody knows, was for 1000''l''. Thanks to the most cowardly and disgraceful behaviour of a gang of ruffians in Smith's corner, the referee was forced to declare the fight a draw at the close of the fourteenth round. Full details are given below. THE JOURNEY TO THE CONTINENT. (By our special reporter.) [?] travellers accustomed to make long and frequent journeys do not trouble themselves much about starting. The pangs of parting are easly effaced, and after a few years of "globe-trotting," as the Yankees are pleased to call it, beyond looking after personal comforts the travelling Briton has very little trouble. I have made many notable journeys upon all sorts of errands, but must confess that entering upon my last jaunt brought not a few  qualms — other than those likely to be experienced at sea. The preliminaries of the international fight, which was the reason of the trip from town, had not been carried through without many untoward circumstances arising to spoil the fun. On Saturday, however, there was every prospect of the business being brought to a successful termination, and when word was brought me that on the following morning our party were to leave London at an early hour there was no need for further hesitation, and preparations for the journey were rapidly made. What a day it was! Rain of a most annoying and penetrating kind fell until well into the night, making every one hurry to bring their day's business, or pleasure, to an end, that they might get indoors out of the dismal, depressing weather. Just as I had thought all safe for the [night came] A Rude Shock. [Arriving??] at the office of THE SPORTSMAN I found a well-known sporting journalist, whose expressive features at once conveyed to my practised eye that "something had happened." His right hand convulsively clutched a telegram, and it was quickly patent that this innocent-looking piece of paper was the cause of the trouble. "What do you think of this?" asked he, handing over the document. Only a few words were pencilled thereon, but these were enough to cause us alarm. "Stoppage, but think can get bail. — Slavin." Here was a pretty "go," the mystic words being translated meaning that the Australian had been "pinched" at Margate. Before we had thoroughly grasped the situation a second wire arrived containing the definite information that Slavin had been arrested at the Kentish watering-place and that he had a difficulty in finding bail among strangers. This dire news sent our spirits down to zero. Two acts of the little drama we were enacting had been very depressing, but the third brought sunshine again. Close upon the heels of the second telegram came a third, and it was with trembling fingers that at the request of my friend I opened the missive. A glance was enough — Slavin was free, and on his way to Dover. This sent us home satisfied that all would be well on the morrow now that both the principal actors in the contest were on the spot or nearby. Daylight brought with it A May Morning. Long before the earliest purveyor of the lacteal fluid arrived in the quiet suburban street to wake the sleepers with his hideous yelping, a cross between that of a beaten dog and a Comanche Indian, I had turned out, as there was no time to be lost. It was a delightful morning, the rain clouds having vanished, and being replaced by brilliant sunshine the weather being more akin to early summer than that usually associated with late December. The early promise did not last, as before eight o'clock the south-westerly breeze brought up rain clouds once more, and a fine free sample of "London peculiar" had taken possession of the streets as I wended my way towards Cannon-street Station. Ten o'clock was the hour named, but half an hour before that time several of the party had arrived at the trysting place. First to be noticed was Bob Habbijam, in company with two less-known sports, and this trio had not the dim terminus long to themselves. Jack Lewis, looking "all broke up," put in an appearance a few minutes later, while at the same time three scribes with pockets bulging from a surplusage of note-books dropped in. It was very soon evident that the company would be much larger than intended, as cabs rattled up continually, bringing a further complement. Tom Smith, Bob Kirby, Barney Sheppard, "Pop," and Frank Hinde were the next to join us, and in quick succession came Teddy Bayley, Will Riley, and Joe Vezey, who was to occupy the unthankful office of referee. According to the original conditions, a number of the intending spectators should have proceeded by way of Calais overnight, but by some means or other they managed to miss the train, and it was owing to this fact that so many were present on Sunday morning. There was no disguising the fact that such a crowd would draw attention, and militate against the secrecy necessary to insure us against intervention. There was no help for it, however, and before the Continental express came in from Charing-Cross "The Squire," Ike White, J. Kilby, C. Horton, C. Parsons, and J. Fleming had swelled the ranks of the ''voyageurs''. Down to Dover. It was only by judicious squeezing and packing that room could be found for all in the train, already well freighted with passengers, but eventually everyone managed to find a corner, luggage being conspicuous by its absence. I had a real sportsman for companion, Jack Kilby, of the Ferry Hotel, Cookham. Having missed the train overnight, not to be thwarted of his promised journey he arranged to proceed to town by road in the early morning. Instructing two lads to sit up through the night so as to be awakened in good time, Kilby turned in. At four o'clock he had the horse put in the shafts of a dog-cart, and drove slick away to Cannon-street. It was a particularly quiet trip, broken only by stoppages at Ashford and Folkestone, where some of the irrepressibles saw fit to leave the train and perambulate the platform. This, to say the least of it, was a foolish proceeding, as it fairly "gave the game away," and there was almost an air of expectancy about the officials when, after a run of nearly two hours, the South-Eastern express pulled up on Dover [Col. 1c–2a] Pier. Thoughts of coming trouble had ere this sobered down the playful ones, and it did not add to their joy when, looking seawards, they saw what is known as "dirty" weather in store. On the Briny. The transfer of passengers from the pier to the deck of the Princess Henriette was rapidly effected, and "once on board the lugger" my fellow-travellers disappeared as if by magic, but as rapidly came to light again, having, in view of developments likely to appear later, made arrangements below. There was a general changing of headgear, the bowler being discarded for the more useful tight-fitting cap — and what a variety were donned! As on the appearance of the clown in the pantomime, now the fun commenced. Before noon, when the hawsers were cast off, several shining lights in the boxing world prepared for the worst, the long rollers which broke in against the pier giving them the greatest alarm. Many had never previously ventured upon anything of a more stormy character than the Thames, and but for the fear of reproach would have turned back. As the "Princess" swung off from the pier the two "Bobs," Kirby and Habbijam, betook themselves to the "rail" in expectation of an attack of ''mal de mer''. What a pitiable sight they presented, but in a few minutes they found many brothers in misfortune, Tom Smith caving in. For a time it was a bit rough, and one of the good sailors commenced quoting Byron. "O'er the glad waters of the dark blue sea," sang he. Well, it was not too cerulean, but there was no question as to its gladness. The English Channel is generally built that way, and it was evidently making extra merry on account of the season. Once away from the shore-swell it was smooth enough, and the sickly division came round wonderfully. Frank Hinde, who played his old part of low comedian, amused them, and at length by his wonderful flow of spirits — animal and otherwise — had the worst cases on their legs again. A few exceptions there were, half a dozen or so of the swells having "sought the seclusion which the cabin grants," and there they stayed. Our low-comedy merchant now found a a [sic] serious rival in "Pop," and between them they kept the coterie on the quarter-deck from being dull. Yarns were spun by this pair of drolls, and the merry jest went round until more substantial fare was in request at the table. Both the aforementioned did their share, the way Hinde put away the humble yet satisfying cold meat and pickles causing intense envy in the breasts of the less hardy mariners. A very quick passage was made across the streak, and at half-past three the coast appeared in sight. At the same time rain commenced to fall, and as we steamed past the lighthouse on Ostend breakwater it came pelting down sharply. At a quarter to three the good ship was secured alongside the wharf, and out came the lost sheep looking white and miserable, one passenger, although not of us, who had sat on deck more dead than alive the whole way over, fairly dancing with joy at his release from the purgatory of sea-sickness. Ostend to Bruges. While those unfortunate enough to be hampered with luggage stood by for the purpose of having it searched the rest of us secured seats in the train already drawn up alongside. It was then discovered that we did not start for half an hour, and the interval was turned to account by a  visit to the buffet. ''Cafe-au-lait'' was the general order, and mightily refreshing it proved to be. Everything comes to him who waits, but before the journey was continued sharp to the time mentioned, it was very patent that our descent upon Belgium in such numbers had attracted much attention. One dark-bearded "foreigner" who had watched us closely on the way across, actually grew so confident that he had exploited our movents that he grew bold beyond discretion. Coming forward with all the effrontery imaginable he rather startled us by asking, "Well, when is the 'mill' coming off?" In a twinkling one and all assumed a look of stony indifference, and on the question being repeated he was forcibly yet politely informed that we had nothing to do with any "mills." As we left the station our inquisitive friend was seen gesticulating to a belaced Ostender, evidently proud of his perspicuity. Thirty minutes' run through the flat and thoroughly soaked country brought the gable roofs of ancient Bruges in sight. Night had not yet darkened the streets, but there was mist enough to hide our movements to a great extent. It had been agreed that the brigade should split up as much as possible and spread themselves over the city. This was done in a great measure, Tom Dunning piloting my section across the  broad station-square to the Hotel de l'Univers. On the threshold I met Mick Taylor, who naturally looked somewhat aghast at the advent of so big a muster. It must have surprised him still more when others strolled in, and eventually the Britisher's party reached no less than fifteen. Fortunately our worthy host had plenty of available room, and after climbing up the winding stairs the whole troupe were comfortably housed. Water was at a premium, while soap could only be obtained by borrowing from the one or two lucky ones who had thought to bring that useful saponaceous compound with them. Entering the saloon after an outward and inward refresher, I ran across Josh Cosnett, and close behind the Brum stood, Frank Slavin, looming fine and large. The Australian Champion looked in grand condition, his face bronzed by the sea air and the toughening preparation he uses. Gently puffing a cloud from his Belgian weed, he greeted the arrivals cheerily, and was as skittish as a kitten, his hearty laugh resounding through the establishment. He had a very favourable passage across Channel the previous night, and amused himself by strolling around the city during the day. It was a piece of good fortune that not only could the ''garçon'' speak English fairly well, but at least two of my companions were conversant with the language of the country; negotiations anent dinner were therefore carried out with celerity. Pugilism at the Piano. While awaiting the refection Slavin opened the piano which stood at one end of the ''salle-à-manger'', and dashing his lingers over the keys coon gave evidence that he was no mean performer on that instrument. Waltz, polka, and march all came as one to him. What a staggerer this would have been to the old timers, who never dared to allow a man in training such liberties. There was not the slightest sign of fear for the result of his coming encounter, and, in fact, Slavin appeared the least interested of the crowd. His piano selection whiled away the interval before dinner, at which the Australian presided. Taking his place at the head of the table Slavin entered into the fun, and no one would have conceived for a single moment that he had such a weighty matter on his mind as a fight. The repast was a lingering affair, and Slavin retired half way over the course, and betook himself once more to his favourite piano, which he wrestled with on and off during the remainder of the evening. While we were enjoying the good things under the roof of the Hotel Univers the rain had increased, and a perfect downpour succeeded. This had the effect of keeping the majority confined to the house, but several of the more venturesome spirits proceeded to explore the city, and they at any rate got a good drenching for their pains. The "pelting of the pitiless storm" continued the greater part of the night. Arrival of Jem Smith. The Champion of England, accompanied by Jack Baldock, Jack Harper, Jem Carney, and several other henchmen, came on from Lille at six o'clock, and arrived at Bruges about 8.30, taking up their quarters at the Hotel de Londres. Jem Smith, after leaving London on Friday, had travelled by easy stages to the Belgian frontier, so as not to miss a meal or proper night's rest and exercise between. He looked wonderfully well, having worked off much superfluous adiposity during the last few weeks' training. Unlike his opponent, Smith kept very quiet during the evening, and retired early. A meeting of the representatives of the men took place at a late hour, and in company with the owner of the ground and others interested, the final arnuigements were made. I was present to assist at this necessary proceeding, and so perfectly had all the preliminaries been settled that there was very little left to be done[.] Owing to the presence of a mob of Birmingham men, who by some means or other had made their way to Bruges, there was fear of interference, but every precaution was taken to defeat anything disagreeable occurring. The behaviour of many in the streets during the evening was not calculated to assist those who desired to see a fair and square battle. Strict orders were given to the ''garçon'' to call us at 5.30 sharp, and to make assurance doubly sure many affixed their names on bedroom doors. Punctually to the moment came the rat-tat on the panel, and a hasty toilet was made by the light of the dip. A glance through the window reassured us with respect to the weather, the rain having ceased, but it was yet too dark to get any idea of the future. Even thus early the patter of sabots on the stones outside betokened the fact that Bruges, sleepy as it is said to be, was well awake. When the sounds from the famous belfry announced six o'clock [Col. 2c–3a] the bulk of the dwellers in the Hotel Univers had found their way to the ''salle-à-manger'', or "the manger" as "Pop" expressively named that apartment. Tea, coffee, fillets de bœuf, and chops were discussed, and the early birds had only been fairly started when with a cheery "Good morning, gentlemen," Slavin appeared. He lost no time, and was soon busy with knife and fork. Time flew by rapidly, and there were signs of an early daybreak. This hurried on the final preparations. Bills were paid, creature comforts taken on board, Slavin, with the greatest ''sangfroid'', seeing to his own business as unconcerned as possible. Our pilot put in an appearance shortly after the half-hour had chimed, and informed us that the other sections had already gone on. The March to the Battlefield. Breaking into groups of half a dozen the advance guard, led by an English resident in Bruges, pushed on, but before going two hundred yards there came a check. The railway had to be crossed, and just as the leading division reached the line they found the gates closed. Although opened in a couple of minutes it allowed the party to amalgamate, but they soon filed out agent. Many streets had to be traversed, and in the now increasing light we were scanned by groups of workmen and workwomen who were on the way to the many factories in the neighborhood. Talking except in whispers was tabooed, so that our nationality might not be discovered, and without further incident a walk of twenty minutes or so brought us to the chosen spot. Entering the private grounds by a wicket-gate, there was light enough to see that the others were present standing among the trees. Four moving objects suddenly appeared as we crossed the garden carrying some white posts, which quite gave Joe Vesey a fright. The principals were hurried off to comfortable quarters near by, Smith having the stable to make his toilet in, while Slavin was accommodated in a barn. Proceeding towards a big plantation I found several quietly at work Building the Ring. Between two belts of trees, formed chiefly of firs and beeches, was a clearing forty feet wide, and here the turf had been swept clear of the fallen leaves — in fact, a native, whose gigantic sabots caused much amusement, was still busy with rake and roller[.] Barney Sheppard superintended the pitching of the ring, an operation which took some time. Eight heavy stakes had been provided and plenty of rope, but the ground was very soft after so much rain, and wedges and guy-ropes had to be freely utilised. There being no tape, the distance was measured out by strides, and when eventually the job was finished it was plain that plenty of room had been allowed. The spectators amused themselves in various ways until, when the clock struck eight, all was in readiness. It was now broad daylight, and as several rustics on their way to employment caught sight of the, to them, peculiar proceeding, and stopped to more closely examine, the place did not promise to be free from interruption. All went well, however, and as the business did not concern them they passed on. There was some delay at this point, and it was close upon half-past eight when the men were reported ready for the fray. The following comprised the company round the ring: — Lord Mandeville, Lord Royston, Hon. M. Sandys, Mr Abington, Mr F. Kotchie, Mr J. Kilby, Mr C. Parsons, Mr Ike White, Mr W. Riley, Mr C. Morton, Mr Harris, Mr E. Bayley, Mr J. Lewis (Australia), Mr J. Vesey, Mr F. Hinde, Mr J. Fleming, Mr M. Taylor, Mr J. Calder, Mr G. T. Dunning, "Pop" Joy, R. Habbijam, G. ("Barney") Sheppard, Jem Carney, Tom Smith, Mangie [?] Hyams, Matthews, Summers, Boulton, and several others, including two or three reporters. Smith, accompanied by his seconds, J. Harper and J. Baldock, entered the ring, quietly going over to the south-west corner with hardly any notice. Baldock at once wanted to know why Slavin had not turned up, and was inclined to be nasty, when the Australian walked briskly to the opposite corner, having, without the customary teasing for choice of positions, allowed Smith to take the higher ground. Josh Cosnett and Bob Kirby accompanied the Australian Champion as seconds, while Mick Taylor superintended the arrangements in his corner. A loud cheer greeted their advent. There was a few minutes' delay after the men had taken up positions, owing to Slavin not being provided with a seat, and Baldock again wished to hurry him up, but matters proceeded peacefully. Mr Joe Vesey, who had been appointed to the unthankful post of umpire, took up a position on the lower side midway between the corners, and Mr J. Calder was selected as timekeeper. On either side of the referee Mr J. Fleming, umpired for Smith, and Mr W. Riley for Slavin, these preliminaries being quickly settled. The disposition of the officials made Slavin's corner appear the stronger, and to still further add to this, a large percentage of the spectators selected that side, so as to get their backs to the wind. Another, and, perhaps, a more potent reason was the fact that The Dreaded Birmingham Division had massed themselves behind Smith and along the higher aide. They had long caused considerable fear among the spectators, but were not so noticeable until they stationed themselves in a phalanx near the Englishman. While the corners were being arranged several of the "boys" worked their way round to Slavin's quarters and stood menacingly by. Mick Taylor was too old a bird to be caught, and with the assistance of Prank Hinde, Lord Mandeville, and one or two trusty friends, guard was kept over the water and other articles. Every necessary for the two athletes had been provided by the proprietor of the grounds, so that there was no trouble on this score. Smith was wrapped in a heavy frieze overcoat, while Slavin, who, during his sojourn in the barn had been divested of his heavy moustache — a loss he deeply regretted — was also covered by a big ulster. It was now half an hour beyond the time fixed for the commencement of hostilities and broad daylight, even the belfry of Bruges being plainly visible in the distance, but curiously enough not a soul beyond the pugilistic party was anywhere near the fighting-ground. At last everything was ''en règle'', and in perfect silence Mr Joe Vesey came forward and said, "I hope all those present will keep quiet and help me all you can," at which brief speech there was a chorus of "hear, hear," especially from Slavin's corner. At 8.35 Belgian time, the two antagonists met in the centre of the arena and shook hands, the seconds, as in time-honoured fashion, doing likewise, forming what is known as the Maltese Cross. Smith, who partook of a draught before commencing, was the first to peel, and although he looked fine enough in the face, when his covering had been removed he appeared fat, although nothing like so obese as when he met Peter Jackson. The Englishman wore short white drawers and green socks, while a strengthening plaister adorned his waist. Slavin looked the picture of health and strength, having trained down very hard, his muscles standing out most prominently. He was clothed in long black drawers and blue stockings, and, like his opponent, wore a deep plaister. In addition Slavin used a suspensory belt loaned to him by Charlie Mitchell, who had found it of great service in his fight with John L. Sullivan. Under weather, which for the business in hand was simply perfect, and particularly warm for the time of year, there was, as far as could be seen by the uninitiated, every prospect of a good [Col. 3c–4a] fight. This was doubted by the majority, the presence of the crowd of roughs betokening trouble when once the battle should commence. The Call of "Time" At twenty-five minutes to nine brought everyone to the ropes, and amid perfect silence the pair of pugilists shaped for the encounter. Slavin from the first smiled confidently, while Smith looked serious. Neither appeared in any hurry to begin, and sparring for an opening, Slavin gradually worked Smith back into his corner. Fifty seconds elapsed before a blow was struck, but this had not passed without our opinion being confirmed, that we might expect trouble from the Brums. Smith's seconds set the ball rolling by hurling the vilest of epithets at the Australian, and their example was followed by their supporters. By some oversight the seconds had not been ordered out of the ring, but attention was at once called to the fact, but, constituting himself referee, Baldock refused to obey the order to retire when given by the appointed officials. This boded ill, and before a round had been fought it was pretty plain to all that Slavin would have little chance of victory. Had the objectionable party confined themselves to vituperation this might have been borne, but going from bad to worse we soon witnessed a scene that was not only a blot upon the good name of Englishmen as lovers of fair play but one never equalled even in the worst days of the ring. Slavin was the first to lead, but only tapped his opponent lightly on the face, and he had the best of several exchanges, but did not put forth all his power into his left-handers. Smith's blows were also comparatively harmless, until the last half minute, when they got to close quarters and hammered away sharply amidst a chorus of yells from the Smithites, until they fell together. No sooner were the two men down than Baldock rushed up, and in picking his man up knelt on Slavin. A foul was claimed, but no notice was taken of it, although it was very palpable. Warnings were given to the Australian not to go into Smith's corner, but without avail, and he entered upon the second round full of pluck and confidence. Language — if such filthy expressions as were levelled at Slavin could be so designated — of the violent kind greeted him on facing Smith, and this was not confined to the hired mob. Those from whom at least fair play might reasonably have been expected indulged in blasphemy and rowdyism even more pronounced than that of the others. To still further disconcert Slavin a claim of first blood was made. The moment he walked across the ring Smith worked up close at once, and on rushing in was met with the left on the mouth. A brief struggle ensued before they fell together, Smith while on the ground spiking Slavin in the thigh. A foul was again claimed but the referee was so badgered that he could hardly have known where he was, and no notice was taken of the occurrence. In the third round, again a short one, Smith was Knocked Down By a cross on the jaw, and he came up looking the worse for wear next time, while the blackguards in his corner were more threatening than before. Smith again waited in his corner, and, nothing daunted by their menacing attitude, Slavin boldly went after him. As he advanced he was assailed by the miscreants, who now saw that Slavin was getting the best of it, and when after another round had been fought, in which Smith began to blow freely, the Australian was near the ropes he received a blow from one of their number. Every time Slavin was forced to fetch Smith out of his corner, where at this early stage the ropes had been loosened. In the sixth round Slavin now warmed up, sent home a hot left-hander on the right eye, from which the ruby fluid ran freely. This he followed up by some sharp work, eventually fetching Smith down with a vicious right-hander. This treatment of their "Champion" did not suit the villanious [sic] coterie, and Slavin went across the ring next time at great risk. Smith worked Slavin round to the ropes, and while there the dastards held him for the Englishman — save the mark! — to punish, and there was an indescribable scene of confusion. Still, Slavin would not be denied, and in the eighth round sent the right heavily on the jaw, and fairly knocked Smith off his legs. In the following round Smith received a smash on the mouth, but Slavin was terribly handled by the outsiders, who punched him freely while in holds. Smith up to this had hardly made a mark on his antagonist, and beyond a cut on the lip he showed no signs of punishment, but the cowardly ruffians who assisted the "Champion" wounded him severely. So vile was the conduct that the referee was, like every one else had long been, thoroughly disgusted, and he tried without avail to put a stop to it, calling upon Harper to "be a man." Smith was generally short in his deliveries, and Slavin, paying more attention to the body had doled out some telling work. In the twelfth round Smith was felled in his corner, and this brought a crisis. The latter broke away from Slavin's attempts to get on with the left until he was almost backed up against the corner stake, when the Australian dashed the left on the face. No sooner was he fibbing away than the ruffians crowded up and showered blows on his head. In the midst of the mélée a cry of "Here they are" was raised, and A Stampede Ensued from Smith's side. It was evidently a concerted plan, as when the leaders found that no one stirred from Slavin's corner they actually came back, and pointing to the roadway, yelled, "There they are, there they are." By this time Smith had run a hundred yards away towards the house, and Slavin's party, under Rule 26 [?] claimed the fight, but to no purpose. The confusion ensuing upon this manoeuvre looked like putting an end to further fighting. Slavin, who had shown not only admirable pluck and judgment, but also kept his temper, was quieted down when he thought there was yet a chance of winning. Smith was fetched back again, and time was called. Slavin, before putting his hands up, addressing his remarks to the crowd at the other side of the ring, said, "Are you Englishmen? I am an Englishman, and only want fair play." The fight then proceeded. Seeking to settle matters now that he had Smith weakened, Slavin went right over to Smith, and planted the left sharply on the body twice, and then dashed in with both bands, landing on the jaw. As they closed someone of the brutal mob struck Slavin on the right ear again with a "duster," the referee saying, "I saw that." As Slavin threw Smith and the mob again became aggressive, Vesey, who could stand it no longer, said, "I refuse to act any longer. It is impossible for this man — pointing to Slavin — to get fair play." The referee concluded by giving the decision, "It's a draw." The mob heard this with fiendish delight, and at once cleared off from the ring-side. Slavin could hardly contain himself, shouting "There is not a man round the ring can kill me. l came 16,000 miles for a fair fight, and why don't you give a man a chance." There was no help for it, and the latest fight for the Championship ended under circumstances which brought the greatest discredit upon those who were responsible for [Col. 4c–5a] the presence of the wretches, who were prepared for any villany [sic] to prevent Smith being defeated. Not satisfied with their performance at the ring-side, they followed him to his temporary dressing-room, but were soon persuaded to leave him alone, which was perhaps fortunate for at least some of the party. Jem Smith had a carriage in waiting for him, and was rapidly carried off to the town, where it was intended to stay for some hours. There was a rush to the telegraph-office to send messages to interested friends, but only a few minutes were available, as at least a third of  the party intended Making All Speed Homewards. The Ostend train was waiting in the handsome station, and there was no time to be lost[.] Slavin, who walked the whole of the way back into town, was hurried into a first-class compartment, where he made himself comfortable in a corner with a cigar. There was a crowd of hangers-on in and around the station, who evidently were by this time aware of the nature of the morning's work, but without further incident the train steamed out of Bruges. Arriving at Ostend at 10.15 we found the Comte de Flandres ready to receive passengers at the quay-side. This boat is not to be compared with the Princess Henriette, being much smaller and less seaworthy. Slavin had a deck cabin prepared, and therein held a levée, champagne and other sparking wines being ordered up. The Australian, under the careful hands of Mick Taylor, had the cruel wounds inflicted by the ruffians at the ring-aide attended to, and by the time the boat was clear of the offing Slavin was fixed up in shape and paraded the deck. Everyone talked of the fight and its terrible surroundings, and nothing but the severest condemnation was accorded the Englishman's party. One gentleman, who was wearing Smith's colours, was so disgusted that he threw them overboard, and replaced the kerchief with one bearing Slavin's monogram. Dover was reached in due course, a big crowd awaiting Slavin's arrival on the pier, but, shorn of his moustache, he was hardly recognised. He proceeded thence to Margate with M. Taylor and J. Cosnett, where another ovation awaited him. The other portion of our company journeyed direct to London, and on detraining at Cannon-street there was a crowd collected to gather news from the seat of war. Smith was to leave Bruges during the evening, and all being well will arrive in London early this (Tuesday) morning. THE FIGHT. First Round. Slavin left his corner quickly, with a firm, determined step. Smith was much slower in his movements, and the Australian had almost reached his opponent's corner when the men were face to face. The disparity in the height of the men was very marked, Slavin standing well over the Englishman. Each wore a deep strengthening plaister, whilst Slavin, it may also be added, made use of the suspender worn by Charley Mitchell in his memorable fight with John L. Sullivan. Full of confidence, and evidently in splendid condition, the colonial looked every inch a fighter, his length of reach, and lithe, agile movements contrasting strongly with the lumbering position struck by Smith. Though fairly clean in the face Smith looked very heavy below, and undoubtedly carried too much flesh for the business he had taken in hand. Great caution was exercised on both sides, and it was seen that neither man intended to throw the slightest chance away. Weaving in Slavin feinted with his left, but Smith was quickly out of danger, and in turn Slavin dodged an intended blow from the Englishman's left. In this manner fifty seconds sped on, after which Smith got in lightly on the month. Exchanges of a light character followed, Slavin reaching the body and Smith the face. Subsequently the latter, who seemed considerably puzzled by the Australian's style, several times led out of distance at the head, Slavin on each occasion breaking ground very prettily. At last the men got to close quarters, where some sharp infighting ensued. Slavin made the body his mark, where he put in heavy work with the right, Smith in the meantime visiting his opponent's head. The Australian's blows seemed to take the most effect, and the round ended by Slavin having the worst of a fall. Time, 2min 30sec. Second Round. No sooner had the men been removed to their corners than Jack Harper called out in a very loud voice, "First blood," a claim which was of course allowed, the Colonial showing a slight trickle from the lips. On "Time" being called the pair were quick to scratch, that is to say, Slavic walked right across to Smith's corner, the Englishman refusing to come out. A long opening spar took place, but at length blows were exchanged, nothing very serious being done, and closing, the pair had a slight struggle, both falling together. Whilst on the ground a good deal of kicking and struggimg was indulged in, and whether intentionally or no Smith spiked his opponent on the inside of the left thigh, tearing his drawers, and causing the blood to flow considerably. Uproar followed, the round lasting 20sec. Third Round. Though up to this time neither man had sustained much punishment, the exchanges not having been very severe, Smith was always carried to his corner, Slavin, on the other hand, walking beck to his. At the beginning of the third round the referee ordered the seconds out of the ring, but they declined to go, saying that official had no power to order them to do so. On starting Smith forced the fighting, and leading with the left, hit Slavin upon the body. This he followed up rapidly with two more in the same place, all light hits, and some rapid exchanges followed, the Colonial using the right with effect upon the side of the head. Smith paid principal attention to the body, but at length Slavin, drawing back the right, shot it out straight from the shoulder, catching the Englishman fair on the point, and sending him down all of a heap. This magnificent delivery put the Slavinites in excellent spirits, the Colonial smiling all over his face, while the Smithites looked serious. First knock down blow was claimed, and, of course, allowed for Slavin. Time of round, 24sec. Fourth Round. Smith rose from his seat looking very serious indeed, Slavin, on the other hand, being in much better spirits. At the same time a suspicious movement was noticeable among the brigade of Birmingham ruffians, and one of them came round to the Colonial's corner with no good intentions. Had it not been that Mick Taylor and Frank Hinde kept zealous guard over all the water provided for the use of the combatants, there is no knowing what fiendish trick might not have been perpetrated. The remainder of that party stayed in Smith's [Col. 5c–6a] corner. As for the seconds, all remained in the ring. The opponents sparred for the first twenty-five seconds, and at length Slavin, getting an opening, led out of distance at the body. The Englishman seemed glad to have a blow, but Slavin weaving in delivered lightly with the left upon the cheek. Again the pair faced each other in the centre of the ring, and Slavin went for his man, and feinting with the left, just failed to bring off the right, Smith skipping out of the way. Again the Antipodean feinted with the left, and following up the charge, this time successfully caught Smith flush on the mouth. Then quick as lightning getting to close quarters, Slavin delivered heavily right and left on the body, Smith being very slow in responding to this vigorous attack. He had, however, other assistants, for a vile ruffian from over the ropes deliberately struck Slavin a blow on the head. A shout was at once raised, but when charged with it the rascal denied that he had done anything. A scuffle ensued between the men, and to escape from the difficulty Smith cross-buttocked his opponent, who fell, the seconds, rushing to the centre of the ring, falling over them. Time, lmin 15sec. Fifth Round. "Don't go into his corner," urged Taylor and others of Slavin's party to their man, but nothing could restrain him when time was called, and, springing up with a bound, he advanced towards the opposite comer, where Smith was standing up. Once or twice the Englishman seemed inclined to go into the middle of the ring, but was always prevented by his yelling seconds, who stood on either side of him. On toeing the mark Slavin appeared with a suspicious-looking redness of the left eye, caused by the miscreant above referred to. Though appealed to the referee declined to give any decision on the subject, and the fight proceeded amidst some of the most horrible language it has ever been our misfortune to listen to. This proceeded entirely from Smith's corner, who, seeing that their man was already beginning to blow and look distressed, prepared to stop at nothing. Slavin, after wasting a second or two, followed Smith into his corner. One or two exchanges, quickly delivered, of a light nature took place, and the Colonial got in on the body with the right, following up with the same on the head. This Smith considered ample justification for sinking gracefully upon the ground, the round having lasted only sixteen seconds. Sixth Round. Smith came up blowing Iike a grampus, whilst on the other hand, Slavin, seeing his advantage, was eager to begin. Of course, it was necessary to go right over into Smith's corner, that worthy not moving two feet from his chair, whilst the shouts, jeers, and din which greeted the Australian were of an inexpressibly disgusting nature. Still, nothing daunted, the Antipodean followed his man up, Smith leading at the head. This Slavin easily turned aside by a lithe movement, and in turn was stopped by Smith. Resuming, Slavin banged in the left on the mouth, Smith countering on the body. A smart counter ensued, and at this juncture the referee entered the ring, making a fruitless appeal to Smith's corner to behave themselves. Nothing, however, could silence the foul language which proceeded from that quarter. Once more facing each other, the Australian shot in the left fist heavily on Smith's left eye, opening a severe cut, which bled freely. Some vicious infighting followed, and Smith twice got the right in upon the head. Slavin countered with a terrific right-handed blow on the eye, knocking Smith down. Time, 1min 20sec. Seventh Round. In vain did Slavin's friends implore him not to go into Smith's very "warm corner." It was plain that if he did not do so there would be no fight, Smith never coming many feet away from the rascals who had been hired to protect him. Getting to close quarters Smith delivered the left lightly upon the face and banged in directly afterwards the right on the body. Slavin did not see the Englishman having matters all his own way, and a desperate rally took place, during which Smith fought Slavin on to the ropes, and there held him. Here was a grand opportunity for the miscreants, who did not fail to make use of it. One of them kicked Slavin repeatedly, and others beat him about the head, whilst, naturally, Harper and Baldock were yelling at the top of their voices. The confusion wars something terrible, and the ring looked very much like being invaded. The ropes in Smith's comer were pulled right down, so that an entrance might be effected at any moment, and it was a relief when the pair wrestled and came down in a dog-fall together, the round having lasted one minute. Eighth Round. Crossing over at once to the only place where Smith was to be found (''i.e.'', in his own corner), Slavin worked his opponent round to the side of the ring, and there let him have the left lightly upon the face. Standing at this moment close up to the ring-side, the Colonial received a couple of smart blows from a stick which a ruffian coward carried.  An immediate cry went up, and the individual finding himself under very close observation immediately slunk behind. Taking not the smallest notice of these interruptions Slavin pursued his legitimate opponent, both Smith's following him about and jeering in his face. Again the referee entered the ring, and cautioned the seconds to move away. This had very little effect, and in the midst of half-arm fighting of a very severe kind, Smith, who was receiver-general, judged it advisable to seek mother earth.  Time of round, 1min 30sec. Ninth Round. This was altogether a very curious round. When time was called Slavin got up to find his opponent, who barely moved a foot from his chair, and this fact  should have been sufficient warning that something awkward was intended. In the corner the two sparred for about fifteen seconds amidst a horrible din. Finding that the Englishman was in no hurry to begin, Slavin made the first movement, and landed with the left lightly on the head. Following up this, he brought the right round heavily on the dial, making Smith wince, but a second blow in the same quarter was avoided. Still in the corner, the pair got to half-arm fighting, once more bringing them close to the ropes. The Birmingham mob here set about Slavin with great brutality, kicking him and punching him on all parts of the body. The referee, though appealed to again and again, took no notice, though admitting that he saw what was going on. Getting away from the ropes Slavin let go the right, and, reaching Smith's mouth, caused the blood to spring forth profusely. This last blow sent Smith to grass, the round occupying 50sec. [Col. 6c–7a] Tenth Round. The Champion of England by no mean relished the treatment received in the last round, and at the expiration of thirty seconds was puffing and blowing freely. He attempted to spar for wind, but the Australian seeing his advantage bored in when he could find an opening. Delivering right and left, and receiving only slight returns from Smith, the Australian pulled his man over, and the round terminated in 40sec. Eleventh Round. Neither was quite so quick to time, and Harper, noticing that, said, "This is not a two-round job, Patsey." Something like fifteen seconds was spent in sparring. Following Smith up the Australian failed to get an opportunity for some time. At length he put his hands down and invited Smith to "Come on and have a round." This was evidently not a particularly pleasing invitation to the Champion, as he remained in his own corner. Not to be denied, Slavin went after his man, but a left-hander meant for the head was put aside by Smith. At the end of a minute Slavin landed heavily on the Englishman's left cheek, a great red blotch immediately appearing. A rapid exchange followed, and Slavin was again home on the body. A heavy blow on the mouth from the Antipodean sent his opponent to the turf, the round having lasted 1min 35sec. Twelfth Round. A great change was noticeable in the appearance of the rivals on meeting each other for this round. Smith was showing signs of punishment on the face to a very large extent, his left eye being cut, his lip split, and there being a number of marks of Slavin's handiwork on his face. He was very distressed, and blowing heavily. On the other hand, Slavin, beyond the bad left eye (not done by Smith, but by one of the gang of hirelings), had apparently nothing the matter with him. Springing up brightly to his work, the Australian roamed about the ring until he found Jem Smith secreted in his own corner, only just away from his chair. The Australian reached the mouth lightly, and endeavoured by this means to draw his opponent out, but failed to achieve his object, Smith being strenuously warned not to move away from his seconds. The corner was encroached upon by Smith's crew, Harper and Baldock this time being almost between the men. The tumult was very great, but it seemed impossible to daunt the Sydney man, who followed Smith up, though little harm was done. Sparring was the order of the day until Slavin worked in with the left, delivering heavily. With great rapidity he drove the right with terrific force right on to Jem's chin, knocking him clean off his pins, and ending the round. Time, 1min 30sec. Thirteenth Round. Smith came up thoroughly dazed, the terrible blow in the last round having taken a lot of the steam out of him. The Birmingham gang, seeing that this was the case, got all of a heap in Smith's corner, and though Slavin was most earnestly advised to keep away, he would not do so. Smith stood just by ''his'' chair, and going right up to him, Slavin let out with the left, and bringing round the right. Both of these visitations Smith missed, but not so in the case  of a second smack from the right, which made Jem wink. However, turning round, the Englishman forced his opponent up against the ropes, and here occurred one of the most disgraceful scenes ever witnessed at a pugilistic encounter. Some villain drove his knuckle-dustered fist right on to Slavin's ear, cutting it almost in two and causing the Australian to exclaim, "Oh!" Other of these demons kicked him, a scene of indescribable confusion ensuing, in the midst of which the men continued fighting until the pair came down together. Time. 1min 28sec. No sooner was the round finished than cries were raised of "Here they come: the coppers, the coppers; and all Smith's gang, including his seconds, rushed away from the ring, at the same time calling upon Slavin to do so likewise. As for the Champion of England, he headed the runaway party, though nobody could detect the shadow of a "blue." The Australian never left the ring, much to the chagrin of the Smith party, who, seeing that the referee was being called upon for a decision, returned rather sheepishly. Baldock was in a dreadful fright, thinking the battle has been lost, but when the words "fight on" came he and his friends were very delighted. Fourteenth and Last Round. When "Time" was called Slavin folded his arms and waited for Smith to "come on," but Mr Smith didn't want to come on, and remained in his corner. Seeing it was impossible to make him stir Slavin once more crossed over, and a spar of nearly a minute took place. Then Slavin drove home the right on the body heavily, and the pair closed in Smith's corner. This gave another opportunity to a miscreant to strike Slavin on the head. Others in the gang were not slow to follow, and again the round ended in horrible confusion. Time. 2min 15sec. No sooner was this round over than the referee called out. "I refuse to act any longer. It is impossible for Slavin to get fair play. It's a draw." Then, going up to Slavin he said, "I will not stay to see you killed." The Antipodean stood up and exclaimed, "If you are Englishmen why don't you give me fair play? I have not had fair play." After this came a stampede. Remarks. Judging by the disgraceful proceedings recorded above, we are surely near the end of what are known as "fights in the old  style." That such a scene as that witnessed yesterday could possibly be enacted by any man with a drop of Christian blood in his veins seems almost incredible. Take the picture. An athlete, one of our stock, journeys 16,000 miles to measure blades with the best we can produce. Confident he will receive fair play in a land which boasts of nothing foul, he, after trying in vain to ratify a match to meet England's Champion, to be decided before an impartial and unbiassed crowd, puts down his hard-earned hundreds and meets our man in the style the latter insists upon. And with what result? Battling under unheard-of difficulties, not fighting one man but nearly a dozen, he narrowly escapes being murdered, and in the end is robbed of a victory he had won not once but in almost every round contested. If the nail driven hard into the coffin of pugilism yesterday is not the last, it is indeed ten thousand pities. Nothing can flourish, however, without support, and, providing the remarks passed by the majority of the spectators at the ring-side at San Michael are of any account, it will be many a long day before a knuckle-fight receives the patronage of the "upper crust." Slavin, we say, narrowly escaped murder, a fact proved by the words the referee, who, as well as others present, stood in fear of his Iife. One gentleman, an old ring-goer, affirmed he had never witnessed such disgraceful proceedings, and when the ring was finally cleared a feeling of relief was manifest on all sides. Unfortunately we are called upon to say that the riot and murderous intent were all in Smith's corner. On the other side not a man was present against whom a breath of suspicion could be raised. Opposed to Slavin was a hired gang of desperadoes ready to commit any act necessary to serve the ends of those by whom they were engaged. Terms of imprisonment had been worked out by each, and, prepared with knuckle-dusters, revolvers, and knives, they appeared ready to butcher the company at the raising of a finger. In face of all this the Australian fought his way to a moral victory. Almost from the outset Smith was outmatched, and beaten at the game considered his own. Sticking to his corner, of course by order, he showed none of his boasted bull-dog pluck and courage. His dreadful body-blow was easily put aside by Slavin, whilst instead of being "bashed" on the ground and battered out of shape, the Australian fairly held his own in wrestling. We are not blaming Smith for the doings of the miscreants present, and we also know that he was acting under orders by staying in his corner and affording them every opportunity to kick, strike, and prod the Australian, but it was altogether un-English to hold Slavin on the ropes whilst the mob belaboured him with "dusters" and sticks. Smith was, besides being in poor condition, slow and ponderous. After the third round his chance was hopeless, and his supporters were surprised at the form shown by Slavin. Contrary to general expectation, the Cornstalk proved himself far and away a better knuckle-fighter than a "glover." With his long reach he did great execution by left-handed deliveries, and the way he toppled Smith's fourteen stone over with the terrible right was a sight [p. 3, Col. 7c – p. 4, Col. 1a] Page Number: 4 that would have gladdened the heart of old Bill Richardson. In a word Slavin was entirely a different man from the Slavin that fought Bill Goode. Brimful of confidence he faced dangers that few would have encountered, and had the battle been conducted on fair lines he would have been Champion of England and Australia in less than half an hour. In all his battles he has never known defeat nor met with a knock-down blow. Yesterday it was not once found necessary to carry him to his corner, and as all the fighting was done in Smith's corner he must have walked a matter of eighteen yards each round. Slavin has a method of his own in pugilism. Possessed of staying powers, or "bottom" of a most remarkable character, he tires his man and then fights him. Yesterday, providing he had met with no punishment from outsiders, he would have left the ring almost without a scratch, and, as he himself said at the finish, "he was just getting warm." Remarkably clever on his feet, Slavin was in and out with the activity of a feather-weight, and feinting with the left, which he brought forward, he sent his right under the ribs with crushing effect. For some time past it has been an open secret that if Smith did not win he would surely not lose, and it is a blot on the proverbial love of English fair play to think that a mob should have been organised, and such a cowardly attempt made to rob a stranger amongst us of a victory so hardly earned and so clearly deserved. From the first the rules were broken by allowing the seconds to be in the ring whilst the fight was in progress, and although Smith's men threw everything in the way of the Australian, Cosnett and Kirby never transgressed the rules of fair play. Why the referee did not award the fight to Slavin when Smith left the ring in the thirteenth round can only be explained by his fear of the consequences that might follow.  Bearing on this subject, Rule 26 says: — "That if a man leaves the ring, either to escape punishment or for any other purpose, without the permission of the referee, unless he is involuntarily forced out, he shall forfeit the battle." Rule 24 is also plain enough in all conscience, "That any man voluntarily quitting the ring previous to the deliberate judgment of the referee being obtained shall be deemed to have lost the fight." Undoubtedly Mr Vesey lacked firmness, and perceiving this at the start, the "boys" and Smith's seconds, not to mention another couple who used their hands and feet at every opportunity, saw the game was in their own hands, and simply did as they liked. From first to last the proceedings were of a most disgraceful character, and the result showed plainly the reason why Smith's side objected to all the referees nominated by Slavin. Several gentlemen present, in fact all disinterested spectators, expressed their disgust at the treatment meted out to Slavin, and it was suggested on the return journey that a subscription be opened to provide funds for a testimonial to the plucky but unfortunate Colonial, particulars of which appear elsewhere. Even after the fight Slavin's assailants could not let him rest. Not content with robbing him of victory, they followed him to his place of dressing, but a determined front shown by Mr Taylor, Cosnett, and Kirby kept the blackguards back. These are well-known, and will, we believe, shortly meet with the punishment they so richly deserve. One rough made a rush for Lord Mandeville just before the close, but "Kim" soon showed he could hold his own with the "boy," who beat a hasty retreat at the "sight" of six-inch "Jack." We now take our leave of this unsavoury affair, which will probably be the last of its kind — "a Championship knuckle fight." The Englishman's boasted love of fair dealing appears lost to the professional fighter, and the sooner "merry mills in the old style" die out, and the hanger-on has to earn his living in some other way, the better. Slavin will visit London today. He leaves Margate by the 12.15 train, and will arrive at T<small>HE</small> S<small>PORTSMAN</small> office about three o'clock. Smith had a nasty lump on the jaw and left cheek, whilst his right eye was cut open deeply. In addition to this the punishment he sustained on the body was of a severe character. Slavin, on the other hand, only received a cut lip until after the fourth round, when the rowdies joined forces with Smith and smashed his eye during a mélée. After all their kicking and the free use of "dusters" the Australian only suffered from a badly-cut ear and the before-mentioned damaged eye. It may be stated that not a single bet was made at the ring side. SLAVIN'S OPINION OF HIS TREATENT. His Future Plans. On the return journey to England yesterday Slavin was the centre of attraction. At Ostend, where the tale of the fight had somehow or another been told, he was met by an eager crowd, and on the boat he held quite a ''levée''. Though at first somewhat disappointed at being robbed of the title of Champion and 500''l''. so well within his grasp, the Australian, surrounded by old friends, and new ones gained by reason of his straightforward conduct, rapidly regained his spirits. With the inner man refreshed by a steak, washed down with some of Heidsiek's [?] best, Slavin, a Havana between his lips, quickly got on good terms with himself and the rest of the  party. Much sympathy was expressed on all sides, and in the course of conversation with a S<small>PORTSMAN</small> representative Slavin said:— Of course, I feel a bit cut up, because I had my man beaten[.] Did you expect any trouble at the ring side? Slavin: Yes, I was prepared for that, as I was constantly receiving letters of a threatening nature, and though these things as a rule are of no account, I had reason to believe there was some truth this time. Besides, I had not forgotten the affair at Astley's Theatre. Do you feel any effects of the fighting? Slavin: The fighting? I feel nothing of what I got from anyone in the ring; it's what those beauties gave me outside. The only time Smith hit me in anything like form was on the jaw. Why did you persist in going to his corner? Slavin: I wanted to get the affair over and enjoy my Christmas dinner, and I knew if the fighting was left to Smith I should want it served in the ring. Of course you heard a mob was got together for Smith? Slavin: Yes, I knew all about that, but I relied on British fair play, and expected the referee to do his duty. Directly I got in the ring I saw what the game was, and knew my only chance was to knock Smith out. What do you think of Smith? — Well, I think so much of him that I'll bet him 200''l.'' I stop him in six rounds, but we must have no more private shows. I've had enough of that business. I suppose you have a poor opinion of English fair play? Slavin: I have been treated like a prince generally, but I can see the fighting men are easily led astray, and I expected trouble directly Smith objected to a referee. If we served an Englishman in the same manner in Australia we should get drummed out of the town, and rightly too. What are your plans for the future? Well, I shall stay in England some time and challenge Sullivan, and you might as well cable it over to America for me. With the gloves? Slavin: No, I went to fight him with the knuckles. I think I should get fair play out there. You prefer the old style to the new? Slavin: I am fond of boxing, but the other is my game, and though not a boaster I fear no one — that is if I can have fair play. Shall you give any exhibitions? Slavin: I may perhaps make a tour round the country, and very likely visit Ireland. You put on weight the last week? Slavin: Yes, I gained eight pounds and felt grand; in fact, just up to dick when Smith bolted. What do you think of our seconds? Slavin: Well, I'd like them to have a job in Australia. They'd never come back again. When do you propose visiting London? Slavin: I'll come up to-morrow and call at T<small>HE</small> S<small>PORTSMAN</small> Office about three. A stroll was now taken on deck. [sic] and reaching Dover Slavin was met by some friends from Margate, who carried him off to the train in triumph. A Testimonial for Slavin. So impressed were some noblemen and gentlemen with the pluck and ability shown yesterday by Slavin, and at the same time thoroughly disgusted at the treatment he had received, that it was decided whilst crossing the Channel on the way home to open a subscription on his behalf. The donations are limited to 2gs, and the following amounts have been already promised Mr G. T, [sic] [Col. 1c–2a] Dunning, T<small>HE</small> S<small>PORTSMAN</small> Office, Fleet-street, who has been requested to act as honorary treasurer to the fund: [names set as unordered list to save space, last 3 column headers: £ ''s.'' ''d.''] * Lord Mandeville 2 2 0 * Lord Royston 2 2 0 * Hon. Michael Sandys 2 2 0 * Mr Fred Ketchie 2 2 0 * Mr Ike White 2 2 0 * Mr W. Riley 2 2 0 * Mr C. Parsons 2 2 0 * Mr J. Kilby 2 2 0 * Mr Frank Hinde 2 2 0 * Mr J. Calder 2 2 0 Any contributions sent to the hon. treasurer will be duly acknowledged in T<small>HE</small> S<small>PORTSMAN</small>, which in a couple of days will contain the names of a committee now in course of formation. In the London clubs yesterday the opinion was very general that Slavin ought to be compensated for the loss he had sustained in consequence of the ruffianly tactics pursued in Smith's corner. The utmost indignation was expressed in reference to the treatment the Australian had received at the hands of so-called Englishmen. We have received a number of letters on the subject. The following is a sample of them: To the Editor of T<small>HE</small> S<small>PORTSMAN</small> Sia, — I have no doubt that many Englishmen will have read with regret the disgracefully unfair treatment that Slavin met with in his encounter with the  "Champion of England" to-day. I trust that a subscription will be started to show him in a substantial manner that the sympathy of most Englishmen who take an interest in boxing is entirely with him. If you are prepared to receive subscriptions I shall have much pleasure in subscribing a guinea, and in collecting those of many friends who will be glad to subscribe. — I am, Sir, yours faithfully, C. B. C. Royal Thames Yacht Club, December 23. [We refer our correspondent to the paragraph above. — Ed. T<small>HE</small> S<small>PORTSMAN</small>. ] [sic bracketed interpolation] Eyewitnesses Interviewed. A representative of T<small>HE</small> S<small>PORTSMAN</small> was at Cannon-street station yesterday afternoon to meet the Continental express, in which a goodly number of those who had witnessed the fight made their return to town. The train was somewhat late, and did not steam into the station until a quarter to six, when our reporter singled out several well-known "sports" (including more then one scion of a noble house) for a few minutes' chat. Asked as to how affairs happened at the outset, one and all agreed that it was plain a row was meant, the demeanour of a certain section of the party, which  did not number more than forty, being particularly noticeable. "How did the combatants' seconds behave?" — "Well, after the first round, it was evident that Smith would soon be at the mercy of his powerful opponent, and his seconds very soon perceived this state of things. In the initial round Harper came down with some force on the Australian's chest, while in the next bout Slavin came in for some rough treatment at the hands of Baldock, the Champion evidently suffering with one of his eyes." "What form was the Englishman displaying?" — "From the outset he made a miserable stand, and was plainly afraid of his rival. He fought as a coward, and by the tactics adopted by several of those at the ring side Slavin was fighting against great odds.  Every time he got into Smith's corner he was met with remarks of a most uncalled-for character, and had to be very sharp to keep at arm's length of several rowdies, who, as the fight proceeded, became extremely noisy." "How do you account for such a noisy corner at the back of Smith?" — "Although they did not number more than eight, they were some of the worst  characters known, and had undoubtedly been commissioned to play the part they did. This was most disgraceful, isasmuch as they not only made Slavin a mark for the knuckledusters and other weapons they were armed with, but likewise made tracks for individual spectators who ventured to express their indignation at the course of proceedings. One rough, more venturesome than the others, "framed" up to a familiar figure at boxing tournaments, but on the latter producing a long bowie knife, accompanied with a few words of a somewhat emphatic nature, the villain rejoined his  party." Are these men known at all?" — "Yes, they are mostly from Birmingham, and are of the lowest order. It was reported that more than one had been kept at the country's expense, one for a very lengthy period." "Was not this sort of trouble expected?" — "It had been given out by one influential patron of the English Champion that there would be an absence of rowdyism, but it was also stated on good authority that certain roughs had been specially engaged, so that trouble was naturally anticipated." In reply to questions as to how the contest proceeded, it was the opinion that the thirteenth round would be the last, as Smith's party made a determined effort to bring about an undesirable finish. On the two fighters getting to close quarters more rough work ensued, and on some pretence Smith left the ring. Slavin, however, stood his ground manfully. "How did the crowd behave towards the finish?" — "There was a lot of excitement on all sides, but the only fear was that the rough element would resort to extreme measures in endeavouring to save their Champion. Others were ready to insult the Australian by using most filthy language towards him, and altogether affairs began to look serious." "Is it true that attempts were made to tamper with the water used by Slavin's seconds?" — "Yes! a man was noticed to be hovering about in that quarter, but, fortunately, his efforts to drug the fluid were of no avail." "Did Smith deal out much punishment?" — "His blows lacked the force of his rival, and when the referee gave his verdict as a draw the Australian looked very little the worse for his exertions, and could have fought far two hours more. He could have beaten Smith and both his seconds into the  bargain, given fair play." "Was Slavin injured during the fight?" — "No; not from the blows of his rival, as he heeded them very little. He, however, received a nasty blow from a knuckle-duster by one of the cowardly ruffians, which caused his ear to bleed." "As to the referee's decision?" — "That official was undoubtedly afraid of his life, and thought it best to stop the proceedings before any serious harm happened." "What becamiof Smith after the fight." — "He returned to his hotel, and will no doubt arrive by a later train. His friends were disgusted with the form he displayed, and it will be a long time before he recovers his former prestige, if ever he does." "How did the Cornstalk behave in the ring?" — "He fought in the most manly style throughout, and gained the highest opinion from all respectable people present. A testimonial to Slavin has already been decided upon, and no efforts will be spared by those concerned in making it worthy of the occasion." Mr Ike White, a well-known sportsman in the city, and one who, as a rule, does not mind going to considerable trouble to witness a "mill," was very severe in his comments on the gang who were so lost to all sense of decency and fair play. Mr White said: — "The story of the fight does not need much telling. Slavin had his man beaten at every point, and was winning easily. Slavin is a very brave man. He bad to go into Smith's corner every time, and when there had to fight not one but six men; the ruffianism was simply awful." "Do you think it was for the best that the contest was stopped as it was?" "Yes, certainly. Goodness knows what would have happened before long. Probably Slavin would have been killed, as the villains that had congregated in Smith's earner seemed determined, at all hazards, to prevent him from losing. More than once the Australian had Baldock on one side and Harper on the other, both jeering at him, whilst Smith was in front and the 'boys' were making all sorts of attempts to injure him, but he seemed to pay no attention to anyone but Smith. Slavin would not have had a mark from Smith, such as he does now having been inflicted entirely by the mob[.]" "What do you think of Slavin's abilities?" "He is a very great natural fighter, and as for his gameness a pluckier man never pulled off a shirt." On the subject of who was responsible for the presence of the rowdies that caused the bother Mr White was reticent, but not so when the subject of a testimonial to the Australian was mooted. "He is coming to town to-morrow," said the speaker, "and shall have a great reception. Some good sportsmen  have promised to leave no stone unturned to give Slavin a testimonial to be proud of, for he richly deserves it." "What seemed the general opinion on the ground?" "Why every ''man'' (with great emphasis on this word) was sick and disgusted: all but the mob gradually forsook Smith's side of the ring, and the Englishman will lose many friends in consequence of the turn affairs took." Reception of the News in Birmingham. Considering the ''penchant'' of the natives of Birmingham for fighting, and their interest in all matters concerning the ring, a stranger in the city yesterday knowing this would have been rather taken by sur prise [sic] at the indifference manifested in the result. At the various local sporting resorts, however, the cause was plain enough to those in the know. Early in the week it was an open secret that a warm corner was being provided for the English Champion, consequently betting was at almost a standstill. In what little speculation took place the odds were in favour of Smith, as the ''cognoscenti'' were confident that the Australian would not be allowed to win. Amongst the better class of sportsmen in the city the whole of yesterday's disgraceful proceeding were viewed with the greatest disgust. There are still many staunch supporters of the ring in the district who would gladly hail any signs of its regaining its past glory, but they look upon the fight of yesterday as the death-blow to the institution. By the few that thought the affair might possibly be allowed to be decided on its merits Slavin was expected to win, but his only chance was considered to be in his forcing the fighting at the start [Col. 2c–3a]  and knocking his man out early. George Prober hoped to hear that the fight had been decided fairly, and he regretted the unsatisfactory ending. How the Match Was Made On the evening of Saturday, August 10, the P. and O. steamship Carthage cast anchor in the Albert Dock, Limehouse. On bard was an individual, anxiously expected by the British public — namely, Frank P. Slavin, the Champion at Australia, who was accompanied by his manager, John Lewis. Without loss of time, Slavin made his way to T<small>HE</small> S<small>PORTSMAN</small> Office, and on the succeeding Monday the following interesting particulars respecting the visitor appeared in the columns of this paper:— "He has a long record, including victories with both gloves and knuckles, and has never yet known defeat. His bearing is that of a thorough gentleman. He is a fluent talker, and can converse on any sporting subject. Devoid of conceit, he yet has a full comprehension of his own powers, and speaks with confidence as to the result of any encounter in which he may take part. Slavin is a splendid representative of the nation which is growing up across the seas. The contour of his features is distinctly English, square cut and firm. Beneath an intellectual forehead are two deep-set piercing blue eyes, and his features are bronzed with the burning suns of the south. From this it will be gleaned that the Antipodean is a formidable-looking customer, especially when we add that he stands no less than 6ft 1in, and in condition fights about 13st 4lb. Long before his arrival 100''l.'' had been posted at T<small>HE</small> S<small>PORTSMAN</small> office for Slavin to box any man in England, but the money was waiting nearly four months before any of our big guns would cover it. Jem Smith, the Champion, turned a deaf ear to the straightforward offer of the Colonists, and Mitchell  was called away to Yankeeland to lend assistance to his friend Kikrain [?]. For some time it looked as though our visitor would have to return as he came, without giving anyone a hiding or receiving one himself, until a gallant little English middle-weight stepped into the breach to box for the honour of the old country, and agreed to face the stalwart Cornstalk. This was none other than William Goode, who in consequence of his politeness, urbanity, and elegence of dress was christened by his friends 'Chesterfield.' Goode had previously lowered the colours of another Australian, Tom [Less?], a much bigger man than himself, and, bearing this in mind, his friends freely plunked down 200''l.'' These were Messrs Robert Abel and Harry Hart, two well-known figures in the world of sport, articles after little delay being signed at T<small>HE</small> S<small>PORTSMAN</small> office, whereby Slavin and Goode agreed to box the bout of twelve rounds, under the usual rules, on October 17, for the sum stated. Many old ring-goers and patrons of the games shook their heads when the articles were published, and not a few blamed 'Chesterfield' for his rashness in tackling at catch-weights a man so much his superior in size. Goode, however, comes of a fighting stock, is full of pluck and stamina, and belongs to the order which never say die. Excepting in a competition, his maiden attempt, 'Chesterfield' had never known defeat, and the making a match with such overwhelming odds against him his bravery received due acknowledgment on all hands. Slavin held an unbroken record of nineteen successes, and throughout his career he had never known the effects of a knock-down blow. The articles stipulated that the men should box in a 24ft ring, and at the time of signing Mr B. J. [Angle?] was agreed to by both sides as referee. A very necessary clause was inserted, giving the referee power to award the stakes in case of what he might deem an organised interruption to the man who, in his opinion, had the best of the boxing at the time, and if all agreements contain such a clause, it will have a deterrent effect on those who invariably go on the sin, tie, and wrangle system. Slavin placed himself under the charge of that painstaking trainer and old-time boxer, Jack Start. The pair made Mr J. Kilby's, the Ferry Hotel, Cookham-on-Thames, their head-quarters, but things went very badly at the start. During the second week of his training the Australian caught a severe cold, and rheumatism setting in, the services of a doctor were required. The illness was, for obvious reasons, kept a profound secret, but so bad did Slavin get that the first man of medicine deemed it necessary to call in a second. Ten days were spent in the house before Slavin pulled round, and though all went well for some time, he contracted another bad cold. Start, however, wa unremitting in his attention to his charge, and Slavin came to the scratch in fairly good shape. The result of the encounter, a win for Slavin in the fifth round, despite a grand stand by Goode, will be fresh in the memory of our readers." [sic: quotation begins at the top of the paragraph] Smith's failure to make a match with the Australian caused general surprise, but the Englishman would have nothing to do with the glove business, despite the repeated offers of Slavin. The latter's friends, on the other hand, saw little but trouble attached to a knuckle fight, and though Slavin himself preferred the fists to the mittens, there appeared small chance of a match between the pair until Mr Frank Hinde stepped forward and put up a deposit of 50''l.'' at T<small>HE</small> S<small>PORTSMAN</small> office for the Australian to fight Smith for the championship and 200''l.'' a-side. The old question of stakeholder then cropped up, and, after a Iot of bickering, the Colonial gave way, and agreed that the money should be deposited with private gentleman, who for obvious reasons shall be nameless. A meeting took place, and eventually the following contract was drawn up by a representative of T<small>HE</small> S<small>PORTSMAN</small> and signed: Articles of Agreement entered into this day (Monday, September 16, 1889), between Frank Slavin, of Melbourne, Australia, and James Smith, of London, England. The said Frank Slavin and James Smith hereby agree to fight a fair stand-up fight according to the new rules of the London Prize Ring, by which the said Frank Slavin and the said James Smith hereby mutually agree to be bound. The said fight shall be for 200''l.'' a-side, open for 1000''l.'', lor the Championship of England and Australia, and shall take place in 1889 out of England. The two representatives to select the battle-ground issue all invitations (not exceeding fifty persons a-side), and carry out the arrangements for bringing off the fight. The backers of the said Frank Slavin and the said Jem Smith this day (Monday, September 16) deposit 200''l.'' with the stakeholder. The representative of each man to supply the other with a list containing names of spectators, and to have mutual power to strike out a name they object to. The said James Smith and the said Frank Slavin each to have power to appoint an umpire. The referee to be mutually agreed upon by the duly authorised umpires of the men at least seven days before the day fixed for the fight, but in case they cannot agree, the final stakeholder to have power to appoint a referee. The men to be in the ring between the hours of six a.m. and twelve noon, or the man absent to forfeit the battle money. The expense of the ropes and stakes shall be borne by the two contestants equally. In case of magisterial interference the referee, if appointed, or the stakeholder if not, shall (if possible on the same day) name the next time and place of meeting, and either party failing to appear at the time and place specified to lose the battle money. The stakes not to be given up unless by mutual consent, or until fairly lost by a fight, and due notice shall be given to both parties of the time and place of giving up the money. In the event of any question arising which may not be provided for in these articles the referee to have full power and authority to decide such question, his decision to be final, conclusive, and subject to no appeal in any court of law. The stakeholder shall in any and every case be exonerated from all responsibility upon obeying the direction of the referee. In pursuance of this agreement we hereunto subscribe our names. Frank Hinde (for Frank Slavin). John Fleming (for James Smith). Witness for Smith, F. Montague. Witness for Stavin, John Lewes. Subsequently Slavin, as stated, defeated Goode, following which he fulfilled an engagement at the Royal Aquarium extending over thirteen nights. The "Cornstalk," though suffering from an injury to his left hand, offered 20''l.'' each evening to any man whom he could not step in four thee-minute rounds, and though several tried to earn the money Slavin always accomplished his self-imposed task, and brought his engagement to a close in a blaze of triuumph by stopping two men the last evening in four rounds. Slavin had now come into funds. Through the columns of this paper he expressed a wish to put some of his own money down, and, confident in his ability to uphold the honour of Australia, he offered to increase the stakes to 500''l.'' a-side. Smith, with a millionaire at his back, had little difficulty in getting the extra 300''l.'', and accordingly the money was made 1000''l.'', the sum fought for by Sullivan and Mitchell. Smith in the meantime, though ignoring Slavin's challenge to box under Queensberry rules, strange to say, entered into an engagement with Jackson under the conditions he so stoutly objected to when put forward by the white man[,] His ignominious show with the coloured Champion may be passed over without comment, and it will suffice to say that after he and his conqueror had boxed together for ten nights at the Aquarium the Englishman began to prepare himself for the affair under notice. The Men in Training Slavin, when he entered upon his training at the Nayland Rock Hotel, Margate, was 12st 9lb in weight, while fourteen days later, in the buff, he scaled 13st 6lb, and was as hard as nails. The increased weight was accounted for by the splendid development of the muscles in the arms, shoulders, and back. His daily programme while at Margate was as follows:— Up at seven sharp, and twenty to twenty-five minutes' strong exercise with 4lb dumb-bells, followed by a gentle stroll of a couple of miles before breakfast, at 8.30, which consisted of porridge, 1lb of chops or steak, dry toast, and a cup of tea. After the perusal of the morning papers he indulges in a ten-mile walk at a smart pace, averaging five miles per hour. Back again to the hotel, into a bath, and then a rub down with whisky, which was completed in time to give him a good rest before dinner, timed for 1.30, and composed of either roast beef, mutton, or chicken, with vegetables, light pudding, and a pint of seven-year-old bitter. The meal being digested over a game of billiards, he started at three o'clock on a six-mile stroll, varied at intervals by sprints of one hundred yards. On his return to his quarters he punched the ball for half an hour, and then sparred lightly with an Australian gentleman who was at the time on a visit to this country, and holds the Amateur Championship of Australia, he having kindly consented to assist Slavin. This was followed by a sponge and rub down and a good slapping of the muscles before a tea, at 6.30 p.m„ [sic] of cold meat, half a dozen eggs, dry toast, and tea. The wind-up of the day was a quiet stroll to the pier and back, and a game of billiards before retiring to rest, at ten o'clock sharp. Smith's programme was something of the same description, excepting the ball punching, the Englishman preferring the sack. He made the Greyhound,  Newmarket his head-quarters, most of his exercise being taken on the Heath, though, as visitors were forbidden and interviewing tabooed, little was gained [Col. 3c–4a] as to his doings. Under the care of Jem Howes, his old trainer, he was, however, reported to be doing well, and much finer than when he fought Jackson. Finding the Battle-Ground. (By one of the Explorers.) At a meeting held on Saturday, November 16, Mr John Fleming and Mr G. T. Dunning were deputed to act on behalf of Smith and Slavin respectively, their duties being to select the battle-ground, issue invitations, and carry out the arrangements for bringing off the fight. This was rather a strong order, and one of a most trying nature, as anyone conversant with the peculiarities of those attached to the P.R. may know. Wednesday, December 4, was a cold, raw day, and with the thermometer down to freezing-point travelling at night was anything but a luxury. Reaching Paddington soon after 9 p.m., Mr Fleming and I, thanks to an energetic guard, soon found ourselves comfortable in a first-class "smoker" attached to the Weymouth express. At 9.15 to the tick we steamed away from the Great Western terminus, and in due time reached Reading. The hour had passed quickly, pleasantly whiled away by interesting tales of old-time bouts told by the manager of the Pelican boxing. Such men as Punch Dowsett and Bill Charlton graduated in Mr Fleming's school, and the way these celebrities used to set about each other for as many shillings as the boxer of to-day gets pounds is nothing less than remarkable. A ten minutes' halt at Swindon was utilised to the fullest extent, and then bowling along we reached the end of our journey, so far as land was concerned, soon after 2 a.m. on Thursday. When we left town the air was crisp and frosty, with hardly a breath of wind stirring. We were, therefore, greatly surprised when stepping on beard the Gazelle we were informed that a "choppy sea" was running outside. The fact of a passenger's hat going over the side proved the truth of the assertion, and then this same passenger, a likely-looking fellow, bemoaned his fate and bad luck. "How confoundedly annoying,"  he said. "This is the sixth time I have been across during the year, and not once has it been calm." "Better have a sleeping berth, sir," said a sprightly youth at the top of the stairs. "Sleeping berth be hanged. I'll remain on deck," said he, and here for a time we left him inquiring if his horses had gone across in the morning. Guernsey, dear reader, was our destination, and with the idea of making ourselves comfortable we made for below. I felt a bit "peckish" and cast a longing eye on the good things set out in the dining saloon. This was, however, as far as I went in the line, and diving a floor lower doffed my boots and courted the god of sleep. Morpheus, however, scorned my attentions, thanks to the clatter on deck and the noise of the machinery, to say nothing of the "magging" [?] of our friend of the horses. This gentleman, after three or four futile attempts to drag me into a controversy about traveling, "struck ile [?]" with an elderly party, occupying the berth behind me, and for nearly an hour I had a pretty lively time of it. The "elderly party" had a voice greatly resembling the dividing of tin hoops with a file, and in addition displayed a shocking habit of making horrid and atrocious puns. Just as I thought of giving up sleep for a bad job a gale sprang up. Though the Geselle is a record breaker she soon felt the effects of the breeze and began to roll heavily. The increase in the motion of the steamer was followed by a decrease in the conversation around me, and by degrees the punster went from had to worse. The "[hussey??]" [one?] also dropped into a walk, and after monosyllables had been exchanged the two came to a dead stop. Offering up a prayer of thanksgiving for this I closed my eyes again, and being a good sailor was quickly sleeping the peace of, I hope, the just. The concussion of the Gazelle against the Guernsey Pier, accompanied by a prod from Fleming's stick, at length aroused me. Among the Channel Islands. The time by "Joe Vickers" was 7 a.m., and half-awake, I took to my boots. "Need not lace them; we shall be there in a minute," said Fleming, and in a drowsy, submissive, take-me-anywhere-if-only-to-bed sort of way l followed him on deck. A Babel of voices and a clutch at my bad and rug thoroughly aroused me, and jumping into a trap the Pelican and I were in about three minutes set down at Gardner's Royal Hotel. A venerable-looking elder, whom Fleming voted a "[sheenie?]" (goodness knows what he meant, though), made us welcome, and agitating the communicator he handed us over to the care of a dark-eyed chambermaid. I forget her name, and as Fleming is not here I cannot give it. I will say no more than that after a cup of tea diluted with delicious cream, we took a well-earned and mush needed rest. Up and doing soon after tea, a delicate task was before us. Fleming had a friend on the land, a gallant captain, who knew of a spot where we could fight for a month. Guernsey, dear to the "holiday maker" and the "honeymooner," is, as everybody knows, or should know, situate in the English Channel near the coasts of Brittany and Normandy. It is 68 [?] miles from Weymouth, 7 from Sark, 19 from Aldersey [?], and 25 from Jersey. I mention these distances, for we explored the whole group. Encompassed with rocks, almost hidden in high water, navigation is exceedingly dangerous at all times near the island, the knowledge of which quickly knocked one of our plans on the head. Standing at the door of Gardner's Royal Hotel on Thursday morning Castle Coronet came in view, while in the distance, almost hidden by a heavy sea mist, could just be discerned the islands of Herm [?], Jethon, and Sark. Guernsey, it should be mentioned, though under the protection of England, boasts a sort of Home Rule government, rather irksome to the stranger within its gates, especially if that stranger is on mischief bent and gets caught. Making, in a cautious manner, inquiries at the breakfast table, we found a friend in "Mike." Said I, "He's a Frenchman."  "Get out," replied Fleming, "he's a 'bark.'"  "Drinks he isn't," "Done; drinks he is." "Mike" had not at that time spoken, but had noiselessly passed to and fro with a military step and a hand behind him. In reply to a call from Fleming he approached, and a "Yes, yer honour," told me I should have to "part." "Mike" was a trump, and I loved him from the start. For eleven years he had been in the service of a colonel at 1''l.'' a week, and three suit of clothes in the year. Hotel pay was not so good, and though he wade "a bit" in the summer, the young ones were generally there when the bills were paid, if not when the work was on. "Mike" told us lots of things in what many consider the "fascinating brogue."' He informed us — and how our hearts beat at the news — that the island, which had a population of over 32,000, employed but six policemen. "There's not a beggar in the land," said Mike, "and but one Hansom cab, and," pointing  to the window, "be jabers, there it goes. " So far so good, but after a walk round the son of Erin gave us a shock by saying, in reply to a query from  "They've a way of thdr own on this  and, sad mealy ivory ether men L .1  ee  3.4.11  nsertessoholy we bad Pat  nowt,table." W  and, •••••= ar easik Fleming, "They've a way of their own on this island, and nearly ivery [sic] other man is a special constable." Fortunately we had just finished our repast, and, supporting each other, we tottered faintly to the door, partially regaining strength with a breath of the pure sea breeze. Beads of perspiration stood on the brow of the Pelican, whilst I was suffering from a "trickling" down the back of anything but a pleasing nature. Visions of a dungeon-cell under Castle Coronet flashed through my brain as a voice and a step were heand behind, and then I was somewhat reassured. "When would you like a chair fell softly on mine ear. Afraid that we had been thought of as bit week on the leg, I turned to the speaker and asked what he meant. Explanations ensuing, we found the "chair" was a sort of Bath chair on wheels used throughout the island. Declining the offer, we took a stroll, and putting this and that together, came to the conclusion that our task was of a very delicate nature. The first thing was to interview the captain, who, in reply to a note, courteously waited upon us. He gave us the geography of the island and an introduction to Mr., a friend, who we unfortunately found away from home. Taking a "chair" we then started on a voyage of exploration, making, as advised, our way to L'Ancresse [?] Common. Leaving St. Peter's Port and passing through St. Sampson's — the Vale — we came across acres of vineyards, in one instance extending nearly a mile along the road-side. Half an hour's drive brought us to the common mentioned, and dismounting we tried in vain to find a level piece of turf. Windmills abounded on all sides, and plodding on we reached L'Ancresse Bay, a lovely little spot, where the sea rippled softly over a bed of almost snow-white sand. Nowhere could be found a suitable spot whereon to pitch the "magic square," and as the shades of night were falling fast we rattled back to the "Royal." A wet night offered no inducement for further travel, and it was a case of early to bed and early to rise, the next day finding Fleming and myself at the door of Mr M. Acquainting this gentleman with the Nature of the business in hand he, like a good sportsman, fell into the scheme and at once volunteered to drive us to "the best spot in the world." "Bessie" was harnessed to the village cart, and away we went at the rate of fully fourteen miles an hour in the direction of the Forest. I have sat behind many a good goer, but must for her size award the palm to Bessie a beauty barely twelve hands high. Throwing the reins in the bottom of the vehicle, Mr M. '''let the pony have her head''', and the way she went uphill, down dale, and past other traps was truly astonishing. Great St. Peter's was passed, and lovely scenery encountered, the gardens being full of flowers, geraniums and roses blooming on all sides. An enjoyable drive of forty-five minutes found us at Boe(pair.  Bay, and directly in frost stood the island of  Lihou. As many of our readers may know, Lihou is a  small hill of land that at low water can be reached  on foot from Guernsey. As a fact, a paved roadway  ' is laid in the bed of the ocean, across which both  foot passengers and carts easily make their way.  With the tide up communication is effected by boats,  but this being low at the time we had the novel experience  of  DRIVING THROUGH THE REA.  Gaining the other side we " explored " and as the  mew of land is only some three hundred yards by •  hundred and fifty, we were not loag shoot it. Two  excellent patches of level turf were found, but just aa  we were making for the trap • punt, Robinson Cruse&  looking individual scaled one of the small stone walls  and barred the way. Of course, he wanted to know  our Wainer, and, after • rather rough opening,  quickl " listened to reason." In the course of wovrrtian  ws found that the population of the Wand  was limited to three, the old "jam,. " and his two  daeghtere, with a " moke". thrown in. Pointing a  long skinny finger , which might have belonged to the  Witch of Endat, towards the quadruped mentioned,  the old man said, " Us two keeps the family.  He draws the seaweed and I born it."  "AM why do you been it ? " " Welk to looks  air, end base be ashes adios Y amaefactured."  " And hew wadi de yen are • weak by that 7" said  I. "Oh. .be Sr. ; not fw. e y weak." Great  Scott ! and MB was all the old man, his tat mace-,  sad the " mite" had to live on. bi, •  fleas sash. wash needy aupelied the old  PleZi y end =MN sensed to Kr M., who  es lea to AX Pate's Part. The next day we  messed le Sark and Jersey, hut fazed nothing no  =Seib es the panel at and fairly well seta  bed with the resell of ene abet, • day later boarded  the Lyle: hr the sawn bemey.  = air visit the mat= had tea of a fairly  fismelplisa ha the voyage home was made  sear very deprening drenmsteame. Rain fell heavily  sod slack mist brag ear lite water, which after rag  a few =los was saw alb porpoise. Some of these  animals ease within • few yards of the Lynx, but the  speed of be boa preyed too pod for the linney saes, I I  who were penury left behind. With • bass  springing up sal was hated, and dashing through • I  heavy ma to spi=did fern the Lyon made some sixteen  keels be the her. Ia this goy bait the journey 1  was semplead, when all d • sadden we were caught  in a anal. In as Mint the and chopped round,  and before you amid "Jack Robins= " the good  vessel was tamed arweiii to. The order to take in  sail was promptly obeyed, bat the clatter on deck  brought may an IMZIONI passenger rapidly from  below. A very heavy sea was now running, and  though the Lynx kept her course bravely the decks  were swept from stem to stem. A huge Eat Indiaman  now hove a fugh• t. and. lie one at the men  informed me, she had the audacity to cress  our bows instead of passing ender our stern. This  breach of ocean =goats =Sod the skipper of the  Lynx, who chased the trader, and eventuall y made  her alter her coarse. This little "diversion "caused  much amusement amongst our passage= and after •  cold, rough passage we laaad safely at Weymouth.  Chilled to the bone, we made for the Victoria Hew,  when a chop and a glees of old October revived the  almost Mamma circulation. Loudon was reached  about 9.30, aad, tired and worn out, I was glad to lay  my bead on • pillow I had not sego for four days. === Dundee ''Evening Telegraph'' === This Wednesday, 25 December 1889 article describes Slavin's reception in London after the fight. Viscount Mandeville was there, suggesting that he was a Slavin supporter:<blockquote>There was (says a sporting correspondent) great excitement in London yesterday over the fight of Monday, and all classes of the community expressed their abhorrence of the proceedings adopted by the Smith party. It was known early that Slavin would journey up from his quarters at Margate about mid-day, and by two o'clock there was a large gathering in and about the Holborn Viaduct Station. By three o'clock the crowd had increased enormously. The train arrived behind time. As soon as Slavin and Mr Taylor were recognised, a loud cheer was raised. So great was the crush that it was only with the greatest difficulty that the Australians could make their way to the street. The reception accorded the champion, although very gratifying, was somewhat rough, Slavin and his party being forced across the road before they could take refuge in a hansom. Among those present were John Lewis, Slavin's manager; [[Social Victorians/People/Mandeville|Lord Mandeville]], E. Bayley, and other well-known sportsmen. From the station Slavin went, in answer to an urgent request, to the Stock Exchange, where another enthusiastic reception waited him. A move was then made to the office of the ''Sportsman'' in Fleet Street. Among those who were present to offer their sympathy and congratulations to Slavin on what all considered to be a victory were [[Social Victorians/People/Mandeville|Lord Mandeville]], Ike White, E. Bayley, George Knight, W. Riley, C. Mitchell, J. Goldberg, J. Kilby, F. Symes, F. Hinde, and a score of well-known boxers. Shouts for Slavin were kept up outside, and the crowd could not be silenced until Slavin went to the window. He bowed his acknowledgments, and after much difficulty obtained a hearing. He thanked the multitude for his great reception, at which three cheers wore raised for him, and a corresponding number of groans for Smith. Later Slavin dined at the Albert Club where a Testimonial Committee was formed. At seven o'clock Slavin departed for Margate. Smith remained in Bruges until one o'clock on Monday, when, in company with Baldock and Harper he left for London ''via'' Calais. They arrived in London at eleven o'clock, Smith going home in company with a friend. Smith has a wound over the right eye, and his face is much swollen.<ref>"London Gives the Colonist a Great Reception." ''Dundee Evening Telegraph'' 25 December 1889, Wednesday: 3 [of 4], Col. 6b [of 8]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000453%2F18891225&page=3&article=052&stringtohighlight=mandeville+viscount. Print title: ''TheEvening Telegraph'', n.p.</ref></blockquote> === ''Reynolds's Newspaper'' === The Sunday, 29 December 1899, of ''Reynolds's Newspaper'' published a detailed account of the fight.<blockquote>The fight between Slavin and Smith took place on Monday morning upon private property in the outskirts of Bruges. Various spots, both at home and abroad, were from time to time named as the possible battle-field, but finally it became known to a certain select few that an English gentleman, Mr. Atkinson-Grimshaw, residing near Bruges, had placed his grounds at the disposal of the combatants. The host is a well-known breeder of fowls; and he certainly did not expect the quality of fighting cock which responded to his invitation. The ground was encircled by large trees, which secured the utmost privacy. About forty persons assembled at the ring-side, including Viscount Royston, Viscount Mandeville, Mr. Abington, Mr. Harris, Mr. W. Riley, Mr. P. Kotchie, Mr. Ike White, the Hon. M. Sandys, Mr E. Bayley, Mr. C. Parsons, Mr. J. Kilby, Mr. C. Morton, and other well-known "sports." Smith was dressed first, and had to wait a few minutes for Slavin. The Englishman appeared in white flannel drawers, white socks, and lace-up boots; while the Australian wore black drawers, blue socks, and lace-up boots. Harper and Baldock were seconds, Howes bottle holder, and Mr. Fleming umpire for Smith; Cosnett and Bob Kirby, Mr. Taylor, and Mr. W. Riley acting in similar capacities for Slavin. Mr. Joe Vesey officiated as referee and Mr. Calder as time-keeper. The men were in the ring at 8.25, and ten minutes later the fight began. After the first two rounds everything went in favour of Slavin, who in the third round knocked Smith clean off his legs with a terrific right-hander. He repeated this operation four or five times subsequently and surprised many of the spectators by the determined way in which he fought. In the thirteenth round he doubled Smith up with a fearful blow under the left ribs, and the Englishman's friends, seeing that Smith was almost beaten, raised a cry of "Police!" Smith was hurried from the ring; but Slavin and his friends refused to budge, and, after "Time" had been called, they claimed the fight. The referee, who appeared afraid to give a just decision, was surrounded by partisans of Smith, who had meanwhile come back, and eventually ordered the fight to proceed. Prior to this Slavin had been repeatedly kicked on the legs and hit on the body and head with sticks and knuckle-dusters. These gross and cowardly outrages were committed in Smith's corner, where all the fighting took place from start to finish. The next round, the fourteenth, was the last. Slavin fought in a most determined fashion, and when he was punishing Smith heavily, the latter caught the Australian round the waist and held him on to the ropes, whilst the ruffians standing around beat and kicked him in a most cowardly fashion. Amid cries of foul, the pair fell to the ground, and, on the men taking their corners, the referee said he would act no longer, as it was perfectly clear Slavin was not to have fair play. This created immense excitement, during which the referee declared the light a draw, and, crossing to Slavin, said, "I do not want to stay here to see you killed." Afterwards the roughs tried to get at Slavin, who, however, managed to hide in a barn. Later on he went with a few of his friends to Bruges, where he caught the train for Ostend, and came over to Dover, thence proceeding to Margate. Smith and his friends were left behind at Bruges. Round 1. — Slavin stood over Smith with a longer reach. Both sparred cantiously at the opening, Slavin at length leading off and landing heavily on Smith's chest, jumping back out of danger. Sparring again Slavin landed full on Smith's mouth. Heavy in-fighting followed, the men closing and falling together. When Slavin rose it was seen that he was bleeding from the mouth. Time, 1min. 30sec. Round 2. — Slavin fought Smith right into his own corner. There was a disgraceful scrimmage there among Smith's friends, Slavin being badly used. Both men fell together. Time, 15sec. Smith's party shouted out that their man had been spiked by Slavin's boots. The referee, thus appealed to, declared that the men had spiked each other. Round 3. — Smith showed to better advantage in this round, getting home both right and left twice in quick succession on the Australian's body. Sharp close in-fighting followed, Smith going down before a terrific right-hander. (First knock-down blow to Slavin.) Round 4. — Both men were blowing when they came up for this round. The fighting was again fast and furious, Smith at length cross-buttocking Slavin. The Englishman, however, did not fall on him. Round 5. — A light round, Smith going down before a light blow. Time, 11sec. Round 6. — Slavin came up very determined, and forced the fighting at a great pace. He drove Smith all over the ring, landing with his right a heavy blow over the right eye. Smith went down bleeding freely from a gash on the forehead. Round 7. — Smith came up stronger and did some of the forcing work, beating Slavin for a moment on to the ropes. While in this position one of the crowd of roughs deliberately kicked the Australian, who, however, took no notice of the cowardly attack. Both the combatants got away from the ropes and fought to the middle of the ring, where Smith slipped, and both were taken to their corners. Round 8. — Slavin did the opening work in this round, driving Smith round the ring and finally into his corner, where, as usual, his friends were ready to protect him. Smith came out again, when Slavin landed heavily with right and left, and Smith sought the ground. Round — 9 There were heavy exchanges from the outset, Slavin giving his man no rest, and driving him back into his corner. While there one of the mob struck Slavin on the head a violent blow. Time, 1min. Round 10. — This was a far more sportsmanlike round. Smith stood up well in the centre of the ring, and fought it out without the assistance of his friends. There was hard fighting from first to last of a close order, both getting home some terrific body blows. Both fell together. Round 11. — Smith looked tired and led off feebly while Slavin returned with right and left on the head, cutting open the Englishman's cheek on the left side. Smith landed his left again, Smith countering heavily. Smith then rushed upon the Australian, who met him with a severe blow on the mouth, and then sent him down with a terrific right-hander. Round 12. — The disturbances at the ring had now become so unbearable that the referee cautioned the seconds to keep to their corners, and not to interfere with the principals during the progress of the round. The round was of the cautious order, Smith finally being sent to grass again from a heavy right-hand blow on the jaw. Time, 1min. 30sec. Round 13. — Slavin again did all the leading, fighting the Englishman round the ring, and forcing him into his corner. There were some heavy exehanges, Smith's friends again assisting their man by hitting freely at Slavin. Round 14 and last. — Just a second before "Time" was called, Slavin, remarking on the treatment he had received, said, "Are you Englishmen, boys?" This was received with derisive shouts from Smith's party, and then, in an instant, a cry of "Police" was raised. The whole of the Smith party instantly decamped, hurrying their man along with them. Slavin, however, declined to stir, and his friends shouted that it was only a ruse to stop the fight. After a time the Smith  party returned, and Slavin then said to Baldock, the most prominent of Jem Smith's seconds, "Why don't you give me fair play?" Slavin's seconds claimed the fight, but the referee ordered them to fight on. The tactics of the Englishman's supporters were now very evident, but Slavin, who was only anxious to have the fight out to an end, advanced into the  centre of the ring, and again beat the Englishman back into his own corner. A scrimmage ensued, both men landing heavily, and the mob in Smith's corner then closed upon Slavin, who was again kicked and struck. The Australian, however, paid no attention to anyone except Smith, and he finished up the round by throwing him heavily. The referee then said, "I shall refuse to act any longer. This man" — pointing  to Slavin — "can't have fair play. I declare it a draw." Smith seemed well at the finish, and Slavin was certainly full of fight and disgusted at having been robbed of victory by the cowardly attacks of roughs. The Australian had fought in the fairest and most plucky manner throughout, forcing the Englishman back into his corner in nearly every round, and keeping him there. Here the fight came to an end, the referee exclaiming, "I shall refuse to act any longer. I shall declare it a draw." There was considerable surprise among Slavin and his supporters, and the Australian said, "I came 16,000 miles to win, and why don't you give a man a chance?" After some little delay the company dispersed. The time at the end of the fight was eight minutes to nine. Mr. Cecil Raleigh, hon. secretary of the Pelican Club, 21, Denman-street W., writes as follows:— "As an impression prevails that the Smith and Slavin fight was arranged under the patronage of this club, I should esteem it a favour if you would allow me to state emphatically that the Pelican Club gave no countenance to the affair in any way whatever, and had nothing to do with it." Directly the news became known in London the greatest indignation prevailed in all the clubs at the dastardly way in which Slavin had been treated. Subsequently some forty or fifty gentlemen proceeded to the Pelican to demand the instant and public repudiation on the part of the committee with any official cognizance of the arrangements for the fight, and also for the summary punishment of those who had dragged prize fighting down to the lowest depth of degradation and blackguardism. In accordance with these demands, and in full sympathy with them, those members present, conjointly with the proprietor, immediately sent out telegrams summoning an extraordinary meeting of the committee. That Slavin has now a right to the title (empty though it be) of "champion" is clearly supported by the 24th rule of the Prize Ring, which runs as follows:— "Any pugilist voluntarily quitting the ring previous to the deliberate judgment of the referee being obtained shall be deemed to have lost the fight." It seemed a pity that Mr. Vesey should not have had sufficient support to enforce what was uadoubtedly the judgment of all impartial spectators of round thirteen. Arrival of Slavin at Margate. Slavin arrived at Margate at half-past seven on Monday evening, and met with a flattering reception. During his training in the town he had become a general favourite with those who took an interest in the event. Sympathy was almost wholly on his side, and during the day news was anxiously awaited. At the station he was met by a four-in-hand and the town band, and proceeded to the Elephant Hotel, the band playing, "See the conquering hero comes." Along the Parade, on which was assembled a large crowd of people, he was loudly cheered. At the Elephant Hotel, there was a large crowd of people, and the reception was most enthusiastic. Slavin briefly addressed the gathering, thanking them for the reception he had received. His intention, he said, when [Col. 4c–5a] he left England was to win the championship or lose it fairly, and he was sorry that the fight had ended in such a fiasco. Inside the hotel the scene was very exciting, and Slavin received the hearty congratulations of his friends at the slight punishment he had received. He then left for the Nayland Rock Hotel, his quarters, and on the road was loudly cheered. Upon arriving at the hotel, Slavin retired, accompanied by his second, Joss Cosnett, after which the correspondent of the Press Association was introduced to him. The first question put was, "Well, Slavin, how have you fared?" "Very badly," responded the Australian. "As far as the roughs were concerned, I never witnessed anything more disgraceful in all my experience. My treatment at their hands has been most cruel, and nothing I could say would sufficiently emphasize what I mean. I am very pleased indeed at  the reception I received on my arrival at Margate. Nothing could have been more enthusiastic. You see what punishment I have received. It is not from Smith so much as it is from the outsiders." — Joss Cosnett: Smith did not bit him any more than I am hitting you. The conduct of the roughs round the ring was shameful. Slavin: The treatment I have received from them was most unmanly. I am sure the roughs never meant it to be fought out. They intended to have a draw if they found their man losing. Several of Smith's backers, including two well-known noblemen, were disgusted, and threw his colours away and put mine on, as a protest, I suppose, against the treatment I had received. To speak the truth, I would not like to see a dog treated as I was. All I am anxious for now is to meet Sullivan for the championship of the world for £500 to £1,000, or anyone else. I am willing and ready to meet and fight anybody for the championship before I go back to Australia. The Pelican Club and the Fight. A meeting was held at the Pelican Club at one o'clock on Tuesday afternoon. At the conclusion the hon. secretary, Mr. Cecil Raleigh, furnished the following report:— "In view of the reports of what had occurred at the Smith and Slavin fight a special meeting of the committee of the Pelican Club was instantly convened by telegraph for this afternoon. There was a large attendance of the committee, among those present being the Marquis of Queensbury, Mr. John Corlett, and other well-known sportsmen. It was unanimously determined to address a letter of sympathy to Frank Slavin, expressing the appreciation of the committee of the courage he exhibited, in face of the most  blackguardly conduct which ever disgraced the ring side. The committee added that they fully recognised that he had indisputably established his claim to the championship of England, and they further informed him of their intention to present to him a belt and purse in recognition of his pluck. The committee then determined that Mr. John Fleming, late manager to Jem Smith, who had hitherto acted as master of the ceremonies at the Pelican Club, should be suspended from his office until such time as he should afford an explanation of his connection with the Smith and Slavin fight, which explanation would be laid before a general meeting of the members of the club on Tuesday, January 6th. The indignation of the members of the club knows no bounds, and every effort will be made to discover who were the real instigators of the disgraceful business." It is most likely that the belt and purse will be presented to Slavin on January 14th, when the club move into their new premises. The following letter has been addressed by the pugilist, F. P. Slavin, to the Pelican Club:— "In reply to your very kind and encouraging letter, accept my warmest thanks for the high compliment you are about to pay me in presenting me with a belt, called the Champion of England belt. You may rely it will be my duty, as it has been all through my career, to do my best to win any contest I may enter into in a fair and manly manner. — Again thanking you, I am, sir, yours truly, "F. P. SLAVIN. "Nayland Rock Hotel, Margate." Mr. Fleming's Statement. Mr. Fleming states that the fight was arranged before the boxing match with Jackson. He went over to Belgium and selected the ground. As regards the rough element present, he did not know one of the men. No doubt they were engaged by some friends of Smith. The only persons who went across with them were four or five gentlemen. All connection between Smith and him had ceased, as he felt that he could not act in any way for Smith after what had occurred. Every fight that he had previously had the management of had always been brought off without the intrusion of any of the rough element at the ring side. He took no part in the proceedings, being merely there as a spectator, and he had not seen Smith since the fight. He did not think that he should have any difficulty in proving that he had no connection with the disgraceful proceedings at the ring side. The Preliminary Arrangements. The preliminaries of the match will, perhaps, be interesting. When, in 1885, Jem Smith, who had made a name among English heavy-weight boxers, met and defeated Jack Davis, of Birmingham, there was a sign of a revival of pugilism in this country. This was increased when Smith fought Alf Greenfield, and, although the battle ended in a draw, it was not long before the "lost art" was freely discussed, and there was every appearance of the revival of the prize-ring. Smith, as will be well remembered, fought a memorable battle with Jake Kilrain, who came from America to wrest the championship honour from the Englishman. John L. Sullivan, the Boston Boy, soon followed, and, although he failed to beat Charles Mitchell, his claim to the title of champion of the world was made good last July, when be met and defeated Kilrain. Then came new stars in the firmament of boxers, but glove-fighting had almost extinguished the "old style." Prominent among the late arrivals were Peter Jackson, a coloured man, and Frank P. Slavin, both hailing from Australia. Their records were of the highest calibre, Slavin having been successful in all the nineteen contests in which he had engaged, either with gloves or with bare hands, while Jackson's was but little less noticeable. The latter, however, carried all before him in America, and then sought fresh fields in England. Only a few weeks ago he vanquished Jem Smith in a couple of rounds. Slavin arrived in London a week prior to Jackson, and, after a lengthy wait, he was accommodated with a match. No one but W. Goode cared to meet him with the gloves, and Goode was easily disposed of. After signing articles to fight Jem Smith under prize ring rules, both men went into training, Smith at Newmarket, under the care of Jem Howes, and Slavin at Margate, with Fred Symes as mentor. The most difficult part of the arrangements had yet to be settled, and it was not without great trouble that a battle ground could be selected which afforded facilities for the accommodation of a party of sportsmen to witness the contest. At length a point was pitched upon near the Belgian capital, easy of access and fairly safe from interference. Another difficulty now arose over the appointment of a referee, and no less than five good men were named, all of whom were in turn objected to by Smith. The possibility of this having been foreseen it had been stated in the articles that the two parties failing to agree, the stakeholder, Mr. C. W. Blacklock, should appoint that official. This he did with satisfaction to both parties, naming Mr. J. Vesey, a well-known sporting man, to act. The stakes had then been increased to £500 a side. There is a great difference in the physique of the two men. Slavin stands 6ft. 1in., and scales in condition thirteen stone, is a very muscular athlete, and particularly quick on his legs; while Smith is of the sturdy order, and is only 5ft. 8¹/₂in. high. His weight when fit is 12st. 10lbs., and although his muscles are very massively developed, giving proof of great strength, he has not the quick hitting power of the Australian. Performances of the Men. Frank P. Slavin, the champion of Australia, was born on January 27, 1863, at Maitland, N.S.W. He stands 6ft. 1in. in his stockings, and in condition scales 13st. 5lb. or 13st. 6lb. Shavin served his time or apprenticeship to a coachbuilder and blacksmith, and first came out as a pedestrian. After winning several competitions as an amateur, Slavin's first fight was with knuckles against M. Power for £50 a-side, and he won after seven rounds, lasting thirteen minutes. He then beat Jem Burke with two-ounce gloves for £200 a-side and the championship of Queensland, winning in three rounds. This was in December, 1885, and in 1886 he went to Sydney and entered into an engagement with Larry Foley. Here Slavin met Taylor, a pupil of Jackson's, for a purse with small gloves, and stopped him in two rounds. He was then matched with a big follow named Bligh for £10 a-side, and beat him in one round. After a rest of two months articles were signed for him and Mike Dooley to box for £100 a-side, and Slavin won in nine rounds. He next met Mike Costello, an American, a good man, and after a big battle in Sydney, lasting two hours and a half, a draw was the result. Another match was made for £400, and £50 a-side was posted, but Costello forfeited this. Afterwards Slavin's backers matched him for £25 a-side to stop Costello in six rounds, but the latter is very clever and tricky, and lasted the time. Subsequently Slavin journeyed to Sydney, and finding Mike there, challenged him again. The result of this was a match for £100 a-side with skin gloves, which Slavin won in twenty minutes. Slavin at this time had any amount of backing, and issued a challenge to fight Peter Jackson for £250 a-side and the championship. Jackson's party wanted a match with gloves for a purse. They could not, however, come to terms. In January last year the Australian made a trip to New Zealand. The first man put up was Smith, who was backed to stand four rounds, but he had had enough at the end of the first. In Dunedin Slavin beat a big fellow in four minutes, and journeyed a long distance to fight Laing, the champion. The pair were matched for  £200 a-side, and fought with two-ounce gloves at Wanganui, Laing failing to come up at the end of the fifth round. After this Slavin returned to Melbourne, and met Jack Burke, but after Slavin had had all the best of it, the contest was declared a draw. Mike Dooley was now in Sydney, and issued a challenge to him. This led to a match for £200 with small gloves, which ended in Mike being knocked out in 2min. 40sec. Slavin returned to Melbourne, and fought Burke, Slavin undertaking to stop him in six rounds; £200 a-side was put up and the two fought with six-ounce gloves, and agreed to divide the gate, and Burke was beaten in the middle of the third round. Previous to this Billy Farnan, the conqueror of Jackson, and Slavin, fought for £200, with the result that the latter added another winning bracket to his name, Farnan failing to answer to the call of time in the third round. He then received forfeit from Woolf Bendoff. An easy victory over Bill Buck in two rounds followed. He then came to England, and his late victory in his glove fight with the plucky young Englishman, W. Goode, must still be fresh in the memory of our readers. Jem Smith was born in Whitecross-street on January 21, 1863. He stands 5ft. 8¹/₂in. high, and weighs in condition 12st. 10lb. Round the chest he measures 43¹/₂in.; waist, 36¹/₂in.; hips, 41in.; thigh, 24¹/₂in.; calf, 16³/₄in.; biceps, 15¹/₂in. For some years he was employed in one of the metropolitan timber yards, but developing a taste for boxing after one or two rough-and-tumbles with his fellow-workmen, he was taken in hand by Jack Knifton ("eighty-one tonner") and later by Mr. F. Grimm, of the Central Club. His first success was in a competition at the Griffin, Shoreditch. Later on he beat Snowey, of Holloway, and was then matched to box Harry Arnold with gloves for a £10 purse. The affair was looked upon as a good thing [Col. 5c–6a] for Smith, but it took him nearly an hour to polish off this last opponent, though he had slightly the best of the encounter from start to finish. Smith's next engagement was with Woolf Bendoff to box to a finish with gloves for £25 a-side, which came off at an East-end club. In this contest Smith injured his right arm, but, nevertheless, proved successful at the end of twelve  rounds. Smith also won Tom Symonds's All-comers' Competition on February 26, 1885, at Bill Richardson's, defeating Sugar Goodson, Jack Wannop (the wrestler), and Tom Longer. Smith's next battle was with Jack Davis, for £100 a side and the championship, on the turf, and came off on the borders of Surrey and Sussex on Wednesday, December 17. In all six rounds were fought, occupying 7min. 56sec., Davis being knocked out of time with a swinging right-hander. He subsequently met Alf Greenfield, of Birmingham, for £300, at Maisons-Laffite, near Paris, on Tuesday, February 16, 1886. Thirteen rounds were fought, mostly in Smith's favour, and the men fell, whereupon a cry of foul was raised by Greenfield's party, and a crowd of roughs broke into the ring, stopping the fight. The referee (Jem Mace), at the request of the principal backers of the men, agreed to decide the battle a draw. Soon after Smith was matched to fight Knifton, the "eighty-one-tonner" as he is called. This proved a fiasco. The memorable struggle between Smith and Kilrain, brought off on an island in the Seine, came next, darkness putting an end to the affair, which also resulted in a draw, after the men had faced each other for 106 rounds, on December 19th, 1887. This brings us to his ten-round glove contest with Jack Wannop, Smith laying £250 to £200, and winning easily. After which, as all the pugilistic world knows, Smith was easily defeated by the coloured champion, Peter Jackson, in a glove fight at the Pelican Club, the last named winning on a foul by Smith, who was at the same time well beaten.<ref>"The Great Prize Fight. £1,000 in Stakes. Brutal Scenes in the Ring." ''Reynolds's Newspaper'' 29 December 1889, Sunday: 1 [of 8], Col. 4a–6a [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000101%2F18891229&page=1&article=006&stringtohighlight=mandeville+viscount. Same print title, n.p.</ref> </blockquote> === The ''People'' === On Sunday, 29 December 1899, the ''People''<blockquote>Disgraceful Scenes. Expressions of indignation. The prize fight between Jem Smith, who poses as the fistic "champion of England," and Frank Slavin, the Australian champion, took place early on Monday, and resulted in perhaps the most disgraceful scene ever witnessed in connection with the history of the prize ring. Various spots, both at home and abroad, were from time to time named as the possible battle-field, but finally it became known to a certain select few that an English gentleman, Mr. Atkinson-Grimshaw, residing near Bruges, Belgium, had placed his grounds at the disposal of the combatants. In London it soon became known that the principal supporters of the Englishman had caused a number of Birmingham ruffians to be hired for the purpose of making a "strong corner." The betting changed directly to short odds on the Australian, and also evens, while  offers of 30 to 20 that "Smith did not lose" proclaimed that some ugly and disreputable manœuvres would be attempted. The ring was pitched on a splendid piece of turf — the lawn tennis ground, in fact — and about forty persons assembled, including Viscount Royston, [[Social Victorians/People/Mandeville|Viscount Mandeville]], Mr. Abington, Mr. Harris, Mr. W. Riley, Mr. F. Kotchie, Mr. Ike White, the Hon. M. Sandys, Mr. E. Bayley, Mr. C. Parsons, Mr. J. Kilby, Mr. C. Morton, and other well-known "sports." Smith was dressed first, and and [sic] had to wait a few minutes for Slavin. The Englishman appeared in white flannel drawers, white socks, and lace-up boots, while the Australian wore black drawers, blue socks, and lace-up boots. Harper and Baldock were seconds, Howes bottle-holder, and Mr. Fleming umpire for Smith; Cosnett and Bob Kirby, Mr. Taylor, and Mr. W. Riley acting in similar capacities for Slavin. Mr. Joe Vezey officiated as referee and Mr. Calder as timekeeper. The Fight. The men were in the ring at 8.25, and ten minutes later the fight began. After the first two rounds everything went in favour of Slavin, who in the third round knocked Smith clean off his legs with a terrific right-hander. He repeated this operation four or five times subsequently, and surprised many of the spectators by the determined way in which he fought. Smith looked very serious on coming up for the fourth round. At this time a suspicious movement was noticeable among the brigade of Birmingham ruffians, and one of them came round to the colonial's corner with no good intentions. Had it not been that Mick Taylor and Frank Hinde kept zealous guard over all the water provided for the use of the combatants, there is no knowing what fiendish trick might not have been perpetrated. Getting to close quarters, Slavin delivered heavily right and left on Smith's body, the latter being very slow in responding to this vigorous attack. He had, however, other assistants, for a vile ruffian from over the ropes deliberately struck Slavin a blow on the head. A shout was at once raised, but when charged with it the rascal denied that he had done anything. A scuffle ensued between the men, and to escape from the difficulty Smith cross-buttocked his opponent, who fell. In the fifth and sixth rounds Slavin again brought Smith to the ground, and made a nasty gash on his forehead. All this time the most horrible language proceeded from Smith's corner. In the seventh round a desperate rally took place, during which Smith fought Slavin on to the ropes, and there held him. Here was a grand opportunity for the miscreants, who did not fail to make use of it. One of them kicked Slavin repeatedly, and others beat him about the head, knuckle-dusters and life preservers being used. Slavin during the progress of the eighth round further received a couple of smart blows from a stick which a cowardly ruffian carried. Taking not the smallest notice of these interruptions Slavin pursued his legitimate opponent, both Smith's seconds following him about and jeering in his face. The referee entered the ring, and cautioned the seconds to move away. This had very little effect, and in the midst of half-arm fighting of a very severe kind, Smith was one more brought to the ground. In the ninth round the Australian again ventured into Smith's corner, and the fighting brought him close to the ropes. The  Birmingham mob here set about Slavin with great brutality, kicking him and punching him on all parts of the body. Getting away from the ropes Slavin let go the right, and, reaching Smith's mouth, caused the blood to spring forth profusely, bringing the Englishman to grass. The tenth and eleventh rounds were not quite so exciting, but in the twelfth Slavin drove his right with terrific force on to Smith's chin, knocking him clean off his legs. In the thirteenth round the Australian doubled Smith up with a fearful blow under the left ribs, and the Englishman's friends, seeing that Smith was almost beaten, raised a cry of " Police!" Smith was hurried from the ring, but Slavin and his friends refused to budge, and after "Time" had been called they claimed the fight. The referee, who appeared afraid to give a just decision, was surrounded by partisans of Smith, who had meanwhile come back, and eventually ordered the fight to proceed. The next round, the fourteenth, was the last. Slavin fought in a most determined fashion, and when he was punishing Smith heavily, the latter caught the Australian round the waist and held him on to the ropes, whilst the ruffians standing round beat and kicked him in a most cowardly fashion. Amid cries of "Foul," the pair fell to the ground, and, on the men taking their corners, the referee said he would act no longer, as it was perfectly clear Slavin was not to have fair play. This created immense excitement, during which the referee declared the fight a draw, and, crossing to Slavin, said, "I do not want to stay here to see you killed." Afterwards the roughs tried to get at Slavin, who, however, managed to hide in a barn. Later on he went with a few of his friends to Bruges, where he caught the train for Ostend, and came over to Dover, thence proceeding to  Margate. Slavin's Opinion of his Treatment. The following conversation took place during an interview with Slavin, a few hours after the fight:— Did you expect any trouble at the ring  side? — Slavin: Yes, I was prepared for that, as I was constantly receiving letters of a threatening nature, and though these things as a rule are of no account, I had reason to believe there was some truth this time. Besides, I had not forgotten the affair at Astley's Theatre. — Do you feel any effects of the fighting? — Slavin: The fighting? I feel nothing of what I got from any one in the ring; it's what those beauties gave me outside. The only time Smith hit me in anything like form was on the jaw. — Why did you persist in going to his corner? — Slavin: I wanted to get the affair over and enjoy my Christmas dinner, and I knew if the fighting was left to Smith I should want it served in the ring. — Of course you heard a mob was got together for Smith? — Slavin: Yes, I knew all about that, but I relied on British fair play, and expected the referee to do his duty. Directly I got in the ring I saw what the game was, and knew my only chance was to knock Smith out. — What do you think of Smith? — Well, I think so much of him that I'll bet him £200 I stop him in six rounds, but we must have no more private shows. I've had enough of that business. — l suppose you have a poor opinion of English fair play? — Slavin: I have been treated like a prince generally, but I can see the fighting men are easily led astray, and I expected trouble directly Smith objected to a referee. If we served an Englishman in the same manner in Australia we should get drummed out of the town, and rightly too. — What are your plans for the future? Well, I shall stay in England some time and challenge Sullivan, and you might as well cable it over to America for me. — With the gloves? — No. I want to fight him with the knuckles. I think I should get fair play out there. Indignation in London. Directly the news became known in London the greatest indignation prevailed in all the West-end, [Col. 4c–5a] clubs at the dastardly way in which Slavin had been treated. Subsequently some forty or fifty gentlemen proceeded to the Pelican to demand the instant and public repudiation on the part of the committee with any official cognisance of the arrangements for the fight, and also for the summary punishment of those who had dragged dowr [sic] a manly pastime to the lowest depth of degradation and blackguardism. In accordance with these demands, and in full sympathy with them, those members present, conjointly with the proprietor, immediately sent out telegrams summoning an extraordinary meeting of the cornmittee. The Pelican Club Meeting. At the special meeting of the committee of the Pelican Club it was unanimously determined to address a letter of sympathy to Slavin, expressing the appreciation of the committee of "the courage he exhibited in face of the most blackguardly conduct which ever disgraced the ring side.["] The committee added that they fully recognised that he had indisputably established his claim to the championship of England, and they further informed him of their intention to present to him a belt and purse in recognition of his pluck[.] The committee determined that Mr. John Fleming, late manager to Jem Smith, who had hitherto acted as manager of the ceremonies at the Pelican Club, should be suspended from his office until such time as he should afford an explanation of his connection with the Smith and Slavin fight, which explanation would be laid before a general meeting of the members of the Pelican Club on Tuesday, January 7th. It is most likely that the belt and purse will be presented to Slavin on January 14th, when the club will move into their new premises. While Salvin was at the Stock Exchange on Tuesday, a subscription in his interest was started, and £110 was quickly subscribed. Slavin Challenges J. L. Sullivan. Frank Slavin, the champion of Australia, is prepared to meet John L. Sullivan, under London prize ring rules, for £500 or £1,000 a side and the championship of the world. Slavin has lodged a sum of £100, and will contest the title with Sullivan in either America or Australia in six months from signing articles. We have cabled this challenge to Mr. R. K. Fox, of New York, and the money lodged with him or the editor of the ''Sportsman'' will lead to a match.<ref>"The Smith-Slavin Fight." ''The People'' 29 December 1889, Sunday: 16 [of 16], Col. 4a–5a [of 5]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000729%2F18891229&page=16&article=150&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === The ''Sportsman'' === On Monday, 30 December 1889, the ''Sportsman'' printed a list of people and organizations that had contributed to the "testimonial" fund for Slavin as well as some letters to the editor about the Slavin-Smith match:<blockquote> A committee meeting of the above was held on Saturday afternoon, Mr W. J. Innes in the chair.  There were also present Mr W. Riley, Mr Fred H. [Gala?], Mr C. Parsons, Mr A. Butler, Mr M. J. Harrow (Margate), Mr Ike White, Mr E. C. Irish, and Mr G. T. Dunning (hon. sec. and treasurer). The chairman read a letter from Mr John Lees, regretting his inability to attend owing to illness, whilst the remaining committeeman, Mr E. W. Bayly, was absent in Paris. The appointment of the hon. sec. and treasurer was confirmed by the committee, and after some discussion it was decided to close the subscription-list on Monday, January 20, and to present the proceeds to Slavin at the Cambridge Music Hall, Bishopsgate-street, on a day to be named. Other business of minor importance was transacted, and after the next committee meeting had been fixed for Wednesday, January 15, the meeting closed with a vote of thanks to the chairman. Additional subscriptions to the fund, which now reaches 300''l''., will be found appended [names set as unordered list to save space, £ ''s.'' ''d.''] * Lord Mandeville 2 2 0 * Lord Royston 2 2 0 * Lord James Douglas 2 2 0 * Hon. Michael Sandys 2 2 0 * Fred Kotchie 2 2 0 * Mr Ike White 2 2 0 * Mr W. Riley 2 2 0 * Mr C. Parsons 2 2 0 * Mr J. Kilby 2 2 0 * Mr Frank Hinde 2 2 0 * Proprietors of The Sportsman 2 2 0 * Mr. J. Purdey 2 2 0 * Mr. E. W. Bayly 2 2 0 * Messrs H. A. Domby and Son 2 2 0 * "Caption Coe" 2 2 0 * Mr C. W. Bulpett 2 2 0 * Mr P. W. Carr 2 2 0 * Mr W. Morley Pegge 2 2 0 * W. D. S. 2 2 0 * J. E. S. 2 2 0 * Mr W. H. Grenfel 2 2 0 * Mr Quartermaine East 2 2 0 * Mr H. H. Hungerford 2 2 0 * Mr Noel Fenwick 2 2 0 * Sir John Leslie, Bart. 2 2 0 * Mr T. Brinkman 2 0 0 * Mr Calder 1 1 0 * Mr H. W. Hill 1 1 0 * Mr John Young 1 1 0 * Mr D. A. Neilson 1 1 0 * Mr W. Neilson 1 1 0 * Mr Julius Simon 1 1 0 * Mr J. Edge 1 1 0 * Mr H. Marshall 1 1 0 * Mr F. Aynsley 1 1 0 * Col. Hon. Wellesley 1 1 0 * Mr Charles Hawtrey 1 1 0 * Mr W. F. Ashton 1 1 0 * Mr Barratt 1 1 0 * Old Durham Ox 1 0 0 * Sir John Willoughby 1 0 0 * A friend, per C. H. A. 0 10 6 * Mr Ben Giles 0 10 6 * Mr Tom Vale 0 10 6 * [E.?] W. 0 10 6 * Officer 0 10 0 * Per Mr Ike White, Exchange Club: ** S. W. 2 2 0 ** Mr G. B. Knight 1 1 0 ** Mr A. Powles 1 1 0 ** Mr S. Blandford 1 1 0 ** T. F. W. C. 1 1 0 ** Mr Leo Harward 1 1 0 ** Mr J. Harward 1 1 0 ** Mr H. Harward 1 1 0 ** Mr [Monteagle?] [Moutcagie??] 1 1 0 ** Mr C. Orate 0 10 6 ** W. G. P. 0 10 6 ** H. R. T 0 10 6 ** Mr Josiah Smith 0 10 6 ** W. H. R. 0 10 6 ** Mr R. Wilson 0 5 0 * Per Mr M. J. Harlow, Margate: ** Mr A. H. [Cosi? Coni?] 2 2 0 ** Mr J. Thurston 1 1 0 ** Mr J. A. Fagg 1 1 0 ** Mr F. [Miles?] 1 1 0 ** Mr Adolphe [Drineqbeir?] 1 1 0 ** Mr Ernest [Drineqbier?] 1 1 0 ** Mr Lacy Brown 1 1 0 ** Mr Algy Brown 1 1 0 ** Mr M. J. Harlow 1 1 0 ** An Admirer 1 1 0 ** Mr J. W. Robinson 1 1 0 ** Mr W. Searles 1 1 0 ** Mr J. Smith 1 1 0 ** Mr J. Hume 1 1 0 ** Mr J. Painter 1 1 0 ** A Scotchman 1 1 0 ** Mr J. Mundell 0 10 6 ** Mr Bob Redman 0 10 6 ** Mr G. A. Body 0 10 6 ** Mr J. Phipps 0 10 6 ** Mr J. Doughty 0 10 6 ** Old Fisherman 0 10 6 ** Mr Joe Knott 0 10 6 * Per Mr B. J. Angle ** Some mebers of the Stock Exchange 125 0 0 ** Hr Henry J. Turner 2 2 0 * Per Mr W. J. Innes: ** Mr Sidney Fry 2 2 0 ** Mr W. J. I. 2 2 0 ** Mr W. Schlesinger 2 2 0 ** Mr Joseph Thompson 2 2 0 ** Mr Barney Thompson 2 2 0 ** Mr L. Meyers 2 2 0 ** Mr W. Shoe 2 2 0 ** Mr George Cooper 2 2 0 ** Mr J. T. Crossley 2 2 0 ** Mr Andy Anderson 2 2 0 ** Mr G. M. T. 2 2 0 ** Mr F. R. 2 2 0 ** Mr W. Bertram 1 1 0 ** Mr J. W. Hammon 1 1 0 ** Mr Alec Harris 1 1 0 ** Mr John Isaacs 1 1 0 ** Mr Edward [Dance? Dasce?] 1 1 0 ** Mr George Blanchett 1 1 0 ** Mr F. [Leleu? Lolou?] 1 1 0 ** Mr W. J. R. 1 1 0 ** Mr H. C. 1 1 0 ** Mr A. A. M. 1 1 0 ** Mr D. W. Fowler 0 10 6 * Per Mr F. H. Gale: ** Mr R. Moore 2 2 0 ** Mr A. H. Goode 2 2 0 ** Mr [B.? E.? R.?] J. G. Goode 2 2 0 ** Mr F. H. Gale 2 2 0 ** Mr H. Ulph 1 1 0 ** Mr J. Hooper 1 1 0 ** Mr C. Kittall 1 1 0 ** Mr C. Moore 1 1 0 * Per Mr W. Riley: ** Mr Brand (Wiltshire) 2 2 0 ** Mr Charles Godfrey 2 2 0 ** Mrs Lane (Britannia) 2 2 0 ** Mr Sam Adams 2 2 0 ** B. and M. 0 7 6 * Per Mr A. Cockburn: ** Mr Richardson 2 2 0 ** Mr A. Cox 1 1 0 ** Mr Hy. Brackenbury 1 1 0 To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir,— From the evidence of your eye-witness reporter there seems to me the clearest possible case against Smith, Harper, and Baldock — that Smith held Slavin on the ropes while the roughs kicked and "knuckle-dustered" him, that Harper put his knee on Slavin when down, and that Baldock did likewise, and that throughout they advised Smith to stand like a coward under the protection of the savages till the instinct which filled Slavin's manly bosom prompted the honest outburst to Smith, "Come and have a round." The duty for sportsmen to fulfil with the assistance of their representative journal, is, firstly, to see that Slavin is elected Champion and that he is handsomely recompensed, and that these so-called "seconds" should be properly punished and our splendid timber-yard Champion put in his proper place. The names of those who hired the roughs should also be published. I have spoken to at least fifty patrons of boxing shows, and one and all have made the most positive and determined objection to supporting any entertainment where the three men named above are concerned directly or indirectly. They, by their own stupidity and cupidity, have put the last nail in their own coffin, I hope. With regard to the referee, this individual is decidedly unsatisfactory. He allowed Smith to bolt when the cry of "Police" was raised without disqualifying him in any way, and then put an end to the business by declaring it a draw. Now, if the said referee is not a determined or courageous man, then he acted to the best of his judgment, for he was afraid of personal violence, having literally to escape to London; but on his arrival here, I and numberless others naturally expected some explanation or a reversal of his decision. The whole sporting community are on the tiptoe of excitement, and Mr Vesey in the coolest  possible manner washes his hands of the affair, declining absolutely to expose any opinion. This is rather rough on the public considering that be consented to act as referee of his own free will, and he is no chicken in such matters. He does not tell us whether he is aware that he has the power to reverse a decision given under fear; nor does he say whether he still considers the decision made on the spot a happy one. How was it that no steps were taken to protect the referee? There is no legitimate courage in the Brummagem rough. He is an imposter. With assistance of our excellent so-called Champion, and about another ten, armed with knuckle-dusters, he will doubtless attack Slavin, and if a torrent of filthy, cowardly abuse could kill he would beat Slavin single-handed. One of these gallant gentry actually returned to Birmingham without going to Bruges, being positively afraid to chance crossing the tiny stretch of sea. An American reader will bear me out that had our unsatisfactory referee been under the protection of one single genuine Nebraska "tough," as they are called out there, he would, without uttering one word of bad language, have cleared out the lot had they attempted violence to his charge. But it would never have come to that, for the sight of a real, genuine armed rough, with determined set features, would have struck terror into the hearts of the pluckless Brum shoddy bully, with the proverbial dull, stupid, animal-like pudding face. As an Englishman I [Col. 1c–2a] positively feel guilty among my American friends when they ask me what about my vaunted British fairplay, and I quite fail to see or understand how "seconds" — no matter, for argument's sake, how dishonest they may be can such fools as to kill the goose which lays their golden eggs. Prize-fighting and boxing are their bread-and-butter, and some of those who accepted the assistance of the roughs in the recent important international fight must have surely prognosticated that trouble and disgrace would follow, and they of all men should have been the last to wantonly risk breaking up one of our favourite English sports. In conclusion, contrast the courage of the two men. Slavin practically fought about six men, not knowing the moment that one well-directed blow from a "duster" might have cost him his life or lost him the fight. Think of his manly appeals to the cowards for a few minutes' fairplay. I only wish they each had to have four rounds singly with him! — Yours, &c., A Lover of Boxing. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Previous to the late show of ruffianism I was in sympathy with and respected Smith as the Champion, but I am grieved to say that nothing of late years has so thoroughly disgusted me as the ill-treatment which was meted out to Slavin by those who disgrace not only sport but the very name of man. I sincerely hope that Slavin will still continue to think that one of the dearest wishes of the true sportsman of this country is to see fair play. I enclose my mite in the shape of one guinea, and subscribe myself, yours, &c., Leicester, December 28. J. Barrett. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Herewith I inclose cheque 1''l''. 1''s''. to the Slavin Fund, and hope that his manly and honourable conduct will be well rewarded. I cannot, however, agree with those who hope "that we have seen the last of prize-fighting," and other sentiments of the kind. It will be an evil day for England when the fighting instinct dies out from among her sons. No, let us rather hope that the Slavin-Smith ''fiasco'' will be the beginning of a new era, and that for the future fights will not be allowed to take place without proper ring-keepers, as in the days of Spring, Langham, and Bendigo, and that the Championship of England will not be long without a native defender.—Yours, &c., J. W. B. C., Junior Carlton Club, December 27. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — l beg to inclose you the sum of one guinea, my subscription to the Slavin Fund. I was indeed sorry to read of the outrageous and murderous treatment Slavin received from Smith's supporters, which support was tacitly sought after by Smith not leaving his corner and meeting his man in the centre of the ring, as any Englishman should have done that presumed to call himself "England's Champion." I feel quite certain that had this outrageous conduct passed away without the strong condemnation it received at all good sporting men's hands in this country, and the hearty and the thoroughly unanimous sympathy expressed for Slavin, the good feeling and perfect bon accord that has existed between the sporting fraternity of the two countries, New and Old England, would soon have ceased to exist. Australians are great stickers to and warm supporters of England and the English, and they will all feel most keenly the slur cast upon "British fair-play and courage." — Yours, a lover of it, Sydney Galvayne. York, December 26. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Enclosed you will cheque for one guinea as a simple tribute to Slavin, who so squarely held his own, and who should not be looked upon as a stranger in a strange country, but as a cousin Englishman, who deserves support, not only as a true sportsman but also against the fearful ordeal of ruffianism to which he has been subjected. As a lover of fair play believe me, yours faithfully, Birmingham, December 27. Tom B. Sharp. To the Editor of T<small>HE</small> S<small>PORTSMAN</small>. Sir, — Please add 9''l.'' 14''s.'' to the list I have already sent you for Slavin testimonial, and oblige, yours, &c., I. White. Exchange Club, Queen-street, Cheapside, Dec. 28.<ref>"The Ring. The Slavin Testimonial." ''The Sportsman'' 30 December 1889, Monday: 4 [of 4], Col. 1a–2b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18891230&page=4&article=020&stringtohighlight=mandeville+viscount. Same print title and p.</ref> </blockquote> On 9 January 1890 in part of a much larger partisan report with critiques of the investigative committee, its chair and its results as well as other newspapers printing rumors:<blockquote>JOHN L. SULLIVAN ON ENGLISH FAIR PLAY. {{paragraph break}} J<small>OHN</small> L S<small>ULLIVAN</small> has been speaking his mind on the Smith-Slavin fight to some purpose. "I can't see how an English fighter can be beaten," he said. This man Smith is little better than a middle-weight, and I haven't the slightest doubt that Slavin beat him fairly. Some people wonder why I did not go to England to fight Smith. Now you understand why I insisted on meeting him in this country. In England fair play is unknown. The man with the greatest number of 'heelers' always wins or saves himself from defeat. Slavin or Jackson will, in all probability, look for a match with me when they arrive in this country, and | am perfectly willing to meet either or both of them for a proper consideration. I want a big purse, and I am not particular where I fight so long as it is in a club-house. No more law-breaking for  me."<ref>"The Late Fight. Meeting of the Pelican Club. Stormy Proceedings. The Committee Resigns." ''The Sportsman'' 9 January 1890, Thursday: 4 [of 4], Col. 3b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18900109&page=4&article=049&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> Also on January 9, the ''Sportsman'' reported on a collection made for Slavin:<blockquote>THE SLAVIN TESTIMONIAL {{paragraph break}} The subscriptions towards the above now amount to over 400''l.'', and it having been decided to close the list on the 20th, the committee will be obliged if those who have promised donations will forward the same to the hon. sec. and treasurer, Mr. G. T. Dunning, T<small>HE</small> S<small>PORTSMAN</small> Office.</blockquote> {| class="wikitable" ! !£ !s. !d. |- |Amount already acknowledged |407 |3 |6 |- |Mr E.Tabernacle |1 |1 |1 |- |H. S. |1 |1 |0 |} <blockquote>The guinea acknowledged per Mr Riley, from C. R., yesterday, should be from C. K.<ref>"The Late Fight. Meeting of the Pelican Club. Stormy Proceedings. The Committee Resigns." ''The Sportsman'' 9 January 1890, Thursday: 4 [of 4], Col. 3b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001055%2F18900109&page=4&article=049&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === The ''Huddersfield Daily Chronicle'' === On 10 January 1890:<blockquote> Mitchell and Lord Mandeville. As an addendum to the important meeting of the Pelican Club committee, on Wednesday, came a gathering of "sports" at the Trocadero, Piccadilly Circus. Lord Mandeville and Mr. Abington., who had been in attendance at Denman-street, were joined by "Pony" Moore, his son-in-law, C. Mitchell, J. Carney (the Birmingham light-weight), J. Baldock, B. Habbijam, C. Bates, &c. The party, who occupied seats in the stalls, naturally discussed things pugilistic, the talk being mostly devoted to the recent international fight between Frank P. Slavin and Jem Smith. " [sic] The Squire's opinions on the matter happened not to coincide with those of Mitchell, and high words were exchanged between the pair. Suddenly the Birmingham boxer jumped up and "went for" Mr. Abington, but did not strike him. Lord Mandeville immediately interposed and asked Mitchell to be quiet, whereupon the latter directed his attention to his lordship, and struck him sharply on the forehead. Carney and Baldock sprang to his lordship's assistance, and Mitchell and "Pony" Moore at once left the building, the whole proceedings not lasting longer than a few seconds. It soon became noised abroad that there was "something up," and a crowd gathered, but the police saw Mitchell and Mr. G. W. Moore safely across the road.<ref>"The Smith-Slavin Fight." ''Huddersfield Daily Chronicle'' 10 January 1890, Friday: 4 [of 4], Col. 6b [of 6]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0002876%2F18900110&page=4&article=071&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> After the Pelican Club meetings, Slavin comments:<blockquote>On Wednesday at Westminster Aquarium, F.  P. Slavin, the colonial pugilist, who received such bad treatment at the hands of roughs in his recent prize-fight with Jem Smith, the English "champion," made his first public appearance since the fight. Mr. Frank Hinde, in introducing Slavin, said he would give an exhibition with Cosnett of Birmingham, who seconded him in his fight. Slavin was the gamest man that ever  stepped into a ring, he hoped the audience would rive him a good old English welcome. On appearing on the stage Slavin met with a most enthusiastic reception, and the three rounds' sparring with Cosnett was much appreciated. At the conclusion Slavin, in response to loud calls, bowed his acknowledgments.<ref>"Slavin at the Royal Acquarium." ''Liverpool Weekly Courier'' 11 January 1890, Saturday: 3 [of 8], Col. 5a [of 8]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0003067%2F18900111&page=3&article=042&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === ''Reynolds's Newspaper'' === ''Reynolds's Newspaper'' quotes J. L. Sullivan on the Smith-Slavin match:<blockquote>Mr. John L. Sullivan has been speaking his mind on the Smith-Slavin fight to some purpose. "I can't see how an English fighter can be beaten," he said. "This man Smith is little better than a middle-weight, and I haven't the slightest doubt that Slavin beat him fairly. Some people wonder why I did not go to England to fight Smith. Now you can understand why I insisted on meeting him in this country. In England fair play is unknown. The man with the greatest number of "heelers" always wins or saves himself from defeat. Slavin or Jackson will in all probability look for a match with me when they arrive in this country, and I am perfectly willing to meet either or both of them for a proper consideration. I went a big purse, and I am not particular where I fight so long as it is in a club-house. No more law-breaking for me."<ref>"The Recent Prize Fight." ''Reynolds's Newspaper'' 12 January 1890, Sunday: 6 [of 8], Col. 4a–b [of 7]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0000101%2F18900112&page=6&article=053&stringtohighlight=mandeville+viscount. Same print title and p.</ref></blockquote> === The ''Cork Constitution'' === About Mr G Baird (Mr. Abington) from the ''Cork Constitution'':, referring at the end to the [[Social Victorians/Boxing/Fracas at the Trocadero|Fracas at the Trocadero]] or a restaurant:<blockquote>This well-known sportsman (Mr G Baird) who is occupying an unenviable position owing to his conduct at the Smith-Slavin piece of brutality, is the largest owner of race horses in England. He has no less than 100 horses in training, and though he won £10,000 in stakes last year it is computed that he should have won £25,000 additional to even pay his way. Anent that fight which has caused such indignation in the country, a London music hall was last week the scene of a pretty disturbance. Mr Abington and Lord Mandeville occupied a box during the entertainment, and received, amongst others, Charlie Mitchell, the well-known pugilist; an angry discussion ''re'' the fight ensued, and concluded by the peer measuring himself on the floor from one Mitchell’s "lefts."<ref>"Mr. Abington." ''Cork Constitution'' 14 January 1890, Tuesday: 7 [of 8], Col. 5b [of 6]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0001648%2F18900114&page=7&article=099&stringtohighlight=mandeville+viscount. Same title and p.</ref></blockquote> === The ''Colonial Standard and Jamaica Despatch'' === This report from the ''Colonial Standard and Jamaica Despatch'' mentions fighting in the streets (at a corner in Fleet Street) and tosses in an unrelated sentence about an upcoming match between a West Indian and J. L. Sullivan:<blockquote>The disgraceful affair, called by courtesy and [sic] "International Prize Fight," which desecrated the peaceful dignity of the quaint old city of Bruges on Monday morning ought to convince people that there is nothing left to hope for in the Prize Ring. [2c–3a] At eight o'clock in the morning, Jem Smith, self-styled Champion of England, and Frank Slavin, the Australian Champion, with their seconds and parties, met in the grounds of a private gentleman to try conclusions. The "fight" lasted for twenty-five minutes, and was then brought to an abrupt conclusion by the referee declaring it drawn — he would have been killed had he given it to Slavin, who proved to be incomparably the better man. Fourteen rounds were fought in all, during the whole of which time Smith's friends and Smith's seconds worried, and at last assaulted, the Australian, who behaved quite pluckily. It is a disgrace to the name of Englishmen that this brutal scene should go forth to the world. Smith's backers knew well that he had no chance of winning, so they laid their plans to smash Slavin on their own account. It is a wonder that he was not killed — as was reported in Fleet-street at ten o'clock — for Smith's roughs struck and kicked him whenever he came near their corner. Although Lord Mandeville, Lord Rosslyn, Sir M. Sandys, and a few other members of the upper circle, were present at the fight, the bulk of the spectators were the refuse of the gambling rings of London, blackguards and ruffians of the deepest dye. The stakes were £1,000. So great an amount of indignation has been expressed on all sides at the treatment to which the Australian was exposed, that a subscription has been opened up for him. The West Indian, Jackson, is just leaving London for San Francisco, in order to get ready to meet J. L. Sullivan.<ref>"London." ''Colonial Standard and Jamaica Despatch'' 16 January 1890, Thursday: 2 [of 4], Col. 2c–3a [of 6]. ''British Newspaper Archive'' https://www.britishnewspaperarchive.com/image-viewer?issue=BL%2F0004059%2F18900116&page=2&article=019&stringtohighlight=mandeville+viscount. Same print title, n.p.</ref></blockquote> == Notes and Questions == # ==References== {{reflist}} b498i0pjx75qkwvd6f0l4gdr3bhtb53 2 332587 2844200 2843235 2026-11-03T12:40:32Z Wb525 3112992 Wb525 moved page [[Cosmology: UG.NUG an Observation-Based Model]] to [[User:Cosmology: UG.NUG an Observation-Based Model]] over redirect 2843235 wikitext text/x-wiki {{Research project}} ''Original research project by Willy Bohane — UG.NUG.'' = Cosmology: UG.NUG an alternative coherent model = == Abstract == This article is a reading of what, in short, may have been the cosmogony of our universe and, consequently, how its structure allows [[/%CE%9BCDM|flaws and added patches]] to vanish. = UG = What we call geometry is the shape or size of an individual object that matters in its interaction with the real. It begins above chemistry. UG stands for French '''''Uniformité Genrée''''' (''Categorical Uniformity''). We coined it to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the universe in its earliest stages — particles, nuclei— none of which possess geometry, is subject to this regime. Its objects have no individuality, no history, no variation. This uniformity is the hidden foundation of everything, the silent order governing the birth of the Universe. For now, let’s simply understand that the world of the small — below the atom — has no geometry, even if textbooks erroneously suggest otherwise. = NUG = NUG stands for the French '''''Non-Uniformité Genrée''''' (Categorical Non-Uniformity). It represents everything that has geometry and individuality: stars, planets, meteors, and of course all that derives from them — humans, artifacts, flora, fauna. Nor two pebbles are alike, nor two trees. Individuality grows with complexity. The passage from UG to NUG is made through the assembly of atoms and molecules, whose secret nobody knows. NUG is the third and last phase of the object's emergence. Since humans, with their clocks and instruments, belong to NUG, the time we count on our wristwatches is also a NUG phenomenon: it exists only where geometry and individuality exist. = UG.NUG = This is the name of this model. It encompasses these two regimes that govern the entire universe. We will see that NUG (geometry) appears much later than UG, but once present, it becomes an integral part of the universe. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]], which — it seems — has not given it the place it deserves. In the [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]], one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = Time = In encyclopedias, one cannot really say that time is defined, and when it is, it is closer to a sequence of events than to the measurement of time — its chronometry. A year, a day, a minute… This chronometry is only possible relative to precise references. References that are not other than the circadian pace of day and night that impact and rhythm the life of living beings. References that now exist throughout the universe, since the cesium atom is used to measure the second — even though its origin remains a human convention and and the second itself expresses a duration, not human chronometric time. So one could live on Mars using the same time we use on the Earth by convention. A watch, based on cesium pace, could tell him when to stop working or watch TV. The only absolute necessity would be to keep contact with Earth in order to check, from time to time if their time systems are correctly synchronized to the circadian time. It is then evident that it is technically realizable as long as a logical limit of communication delay is not reached — delay that could affect the precision of the synchronization. This shows that this little interplanetary arrangement is not a universal solution and that still, cosmic time does not exist. We can add that time remains a human interpretation and chronometry of duration — and that, without Man, time exists nowhere. Not even on Earth. === ''Succession'' === What does exist, however, is '''Succession.''' This sequence of events gives the idea of past and future. A glass that breaks cannot reassemble itself. Indeed, once it has broken, we can say: it was intact (past), and now (present/future) it is shattered. This succession gives the impression of time passing, but without chronometry it is not the useful time indicated by our watches; it is simply a '''Succession''' of events. The confusion is easy, but the difference is immense. Our prehistoric ancestors saw that days followed one another, that the dead did not wake up, that water flowed in one direction in streams and rivers. But they had no watches. They did not measure time. They had no appointments at 3:00 p.m. At best, they could agree to meet at sunrise or sunset — nothing more. And it is precisely this reference — '''sunrise or sunset''' — actually '''the circadian periodicity,''' that makes time measurement possible.'''.''' === ''the Circadian Periodicity'' === What we wear on our wrist is the calculation of this periodicity, divided into units of measurement: hours, minutes, seconds. Time zones are interpretations of this periodicity, based on the dance of the Sun and Earth for each latitude. People wake with the day in America, and in France as well — at the same local time, '''but not at the same moment'''. [[User:Wb525/Cosmology: UG.NUG a coherent model/Cosmic Time|Universal time]] therefore does not exist. On the contrary, it exists only for this pin‑head called Earth, hidden among trillions of football fields. Worse still, it exists only for the humans who live on it. Animals do not care. Time zones are the best evidence of the circadian periodicity as they measure the sleep and awake time of humans all around the world. === ''the Mistake'' === Chronometric time is a key value for many physical parameters and equations. It is the basis of acceleration and velocity, which in turn allow us to calculate force, thrust, and so on. So total was the misunderstanding even for Einstein, who named his “spacetime,” whereas its true name should have been closer to “local-space‑time” since time exists only for humans, locally, and not in the universe.   [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]] itself, when it calculates the age of the universe as 13.7 billion years, speaks of years that did not exist before the appearance of the Earth and the Sun. It obviously gives an idea of duration in a human's mind but says nothing about the real age of the universe. === ''The Light Years'' === Since distances are expressed in kilometres travelled by light in a year, we assume that cosmic distances are a question and a function of time. This is why this passage is of immense importance for the understanding of cosmology — or rather, for its misunderstanding, because this mistake calls the whole of it into question. The light-year is a human mind unit. The same is true of the speed of light. It is usually presented as a universal constant — 299,792,458 metres per second. But the metre and the second are human units. The second is defined by the circadian periodicity of life on Earth. The metre is defined by the distance light travels in 1/299,792,458 of a second. Each unit refers back to the other, and both refer back to the Earth and its humans. The speed of light is therefore not a constant of the universe, but a human convention — a circular one. '''Nothing is measurable in the universe without a human reference.''' = the Phases = We have now finished with the preliminary definitions. What awaits us is the presumed unfolding of the events that produced the universe — its genesis, in a sense. Events which, according to this carefully logical reading, should naturally replace the Big Bang. What the [[User:Wb525/Cosmology: UG.NUG a coherent model#UG.NUG|UG.NUG]] reading teaches us is that the universe does not have a starting point — the Singularity of the Big Bang Paradigm (BBP), from which expansion supposedly begins — but rather a full‑scale birth whose ''surface'' is not measurable, and which undergoes transformations in volume rather than in linear extension. Here is the sequence of successive phases of the genesis: The phases are the very expression of the Arrow of Emergence, the principle that determines Succession. No thermodynamic calculations to estimate a postulated temperature, structural density, energy, or reaction equilibria/imbalances of reactions that would have determined the formation Succession of objects in the primordial universe. In what follows, such calculations are unnecessary, because the universe does not arise from an undefined point inside an unknown container; it is itself the container of the everything, whose omnipresence reveals neither its age nor its duration. For humans and their limited observations, nothing precedes it; it fills everything we are capable of probing. The objects of the first phase are, by definition, inaccessible. The others are accessible, destructible, and modifiable, whether they belong to the second or the third phase. However, the determining property is the ''uniformity'', which characterizes all objects of the first two phases of the primordial universe. This may seem logical once presented this way, but it becomes clear that the universe — or whatever governs its structure — did not proceed randomly. The Succession of the phases is dictated by the Arrow of Emergence, and each phase makes the next one possible. As already stated, this Succession order may resemble time, but it is not time. = the First Phase   = This is not truly a phase, but it appears here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. It is inferred and embodied by the omnipresent [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] which belongs to the UG regime, where inaccessible objects have no history, variation, or individuality. We do not know what it is made of, but it is logical that it contains the codes of the perceivable universe — the non‑geometric part commonly observed in the depths of matter and referred to as quantum mechanics: elementary particles and atomic nuclei. For humans, such a configuration borders on metaphysics: our cognition is not designed to handle invisible, non‑geometric non‑objects that carry information, almost like ghosts. We can invent ghosts, but not manage them. According to the standard cosmological model, this radiation was released about 380,000 years after the Big Bang (hence the term fossil radiation). Such a dating has no meaning here: chronometric time, as shown earlier, does not exist in the universe. The quantum effervescence perceived since the birth of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] is kept coherent by a fundamental [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] energy: a pre‑geometric substrate that makes emergence possible. This energy likely corresponds to the unique energy of the BBP, later split into electromagnetic, weak, and strong interactions — those ensuring nuclear cohesion — which then mysteriously disappear from cosmological narration. The persistence of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] explains its presence in every atom. Whatever an atom becomes, it retains this universal imprint. If an atom is destroyed, its particles are not: they return silently to the undifferentiated reservoir of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]]. Quantum particles are not manipulable; they emanate from the original [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]]. This assertion is personal, but not baseless. As explained in the chapter ''The Fear of the Unexplainable'', the dominant mindset refuses to accept that the unexplainable may be fundamental. Everything must be physical — except when convenient, as when fundamental energy is invoked to justify atomic cohesion. A double standard revealing the lack of logic in the BBP. This is why CERN, for example, will likely never obtain the expected results. These particles will never reveal what they are. Trying to reach the [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] side of the universe with NUG tools is like asking a newborn to intervene in the device that produced it. The limits appear immediately. The atomic bomb already showed, tragically, what happens when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe — is present in every object. He did not believe quantum mechanics appeared in matter by chance. Yet this is precisely what Bohr and Heisenberg claimed: they treated quantum mechanics as a contingent curiosity, never as the signature of the unknown. = the Second Phase   = This phase concerns primordial objects: atoms, ions, and the first simple molecules. It emerges immediately when the primordial [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] elements are ready. Here again, no time evaluation as the cosmic one is expressed by the Succession that happens naturally. The immaterial effervescence persists, but it is now accompanied by pre‑geometric objects that assemble progressively. In parallel, the fundamental energy of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] settles into the cohesion of these new atomic structures. Its cohesive role forces it to manifest properties that were previously unnecessary: the strong interaction, which ensures the inseparability of particles within nuclei; the weak interaction, whose role is secondary here; and the electromagnetic interaction, which governs exchanges between elements. A single energy, then, with multiple faces — always present, always active. It replaces all the oddities of the BBP (vacuum energy, dark energy, cosmological constant, quantum fluctuations): so many labels for one and the same primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy to transform it into binding or circumferential energies, they obviously do not absorb the entire substrate that keeps them suspended. Like leaves floating on a pond, the medium remains even when grouped structures appear. The primary energy continues to sustain the whole, even if part of its flow has been conceded to cohesion. Atoms are assemblies of ghosts, and they appear identical. What lies at their heart is not geometric and cannot be directly observed. Applied physics perceives only measurable effects — energies, transitions, interactions — never the internal nature of particles. Conversely, the BBP assigns geometric labels — spin, charge, isospin, quantum numbers — drawn from non‑geometric experimental results. Collisions produce deposited energies, momenta, angles, jets, resonances, statistical peaks, and from these data the BBP invents geometric particles. This conceptual shift is rarely acknowledged: despite the absence of geometric data in a non‑geometric regime, the BBP insists on inventing its own universe to preserve a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable — between UG and NUG — between the GRID and geometry. = the Third Phase   = All remaining objects — stars, planets, galaxies — are created according to the order of emergence, depending on the availability and completeness of the previous phase for each object separately. Here uniformity ends: objects become individual. No dating is possible. This phase is the culmination: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] reaches maturity, complex forms, interactions, and histories become possible — the [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] regime. NUG is: * stars * planets * chemistry * biology * perception Everything we experience is the final geometry of a pre‑geometric reality. Pre‑geometric also means pre‑volumetric. The GRID — UG — is pre-geometric and pre-volumetric. Geometry begins with the atom, and individuality with complexity. The GRID shows no form, only infinitesimal temperature variations in all directions. It is an invisible presence that precedes any volumetric filling. Geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates a singularity and an expanding metric. Our reading is simple: * No singularity: the universe is born already extended (GRID). * No infinities: emergence is ordered (phase 1 → phase 2 → phase 3). * No paradox: geometry (NUG) emerges from UG without expansion. The GRID never disappears. It permeates every atom of every object. It is present everywhere in our world, in the form of quantum mechanics — whose rules differ radically from those commonly accepted. With an STM, one can distinguish atoms and their arrangement, as Don Eigler did in 1989 by positioning xenon atoms to write IBM on a nickel surface. Beyond atoms, the scale gap becomes immense. Atoms measure about one nanometer; their constituent particles are around a femtometer — a millionth of a nanometer. No particle has ever been observed directly: only their traces on detectors are detected. The experiment is extremely indirect. Every fragment of matter carries within it an irreducible part of the universe’s secret, as well as the codes of emerging geometry.__FORCETOC__ gy87hj5iscajv031k2dxjqxjgpp9oa7 0 332591 2844199 2842550 2026-11-03T12:35:32Z Wb525 3112992 Text edition 2844199 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. = Introduction = For 60 years, the field of cosmology has been basically held hostage by those who built their careers on ΛCDM. By blocking any publications challenging its foundations, they make sure it cannot be replaced. The reason for this cannot be anything other than the preservation of status, publication revenues, egos, careers, and funding. What follows is the result of this forced consanguineous marriage where ideas, like blood, are not regularly renewed: a long list of paradoxes, flaws, logical falls, and patches that academic physicists have applied over the years, systematically failing to ask themselves whether each step was right. The astonishing fact is the enforced silence of an entire field through threats to the careers of those who might dare to speak out. This allows the old guard to feel no shame when they, together with their sacrosanct mathematics, invent a singularity. Or when they invent matter-hungry black holes. Or when their imaginative minds put forward such a complicated explanation for the CMB, presenting it as a fossil. Moreover, the complexity of this interpretation seems to show a profound disregard for the principle of parsimony — a principle that should be a first consideration when dealing with a discovery of such importance. The insiders feel no shame because they are supported by group authority, an old sociological concept that confirms the power of those who belong to the strongest coalition. And when the ideology of this group is wrong, it is simply turned into dogma. Like religion did for God. Like cosmology did for ΛCDM. Then a hierarchical pyramid can rise from the ground and reign over the immense revenues this belief generates. And from that moment on, the behaviour of the insiders becomes outrageous and contemptuous towards anyone who dares to criticize their doctrine. The reaction is systematic. Just as Russia does when it accuses dissidents of psychiatric disorders to justify their capture and isolation. Outsiders' ideas, proposals, and models are not examined, but simply ignored in the name of their supposed inferiority. '''When a baby cries, they can be offered a candy or a hug. They have always chosen the candy to create addiction,''' A theory in science must be judged by independent judges. But who judges the so-called ΛCDM, the standard cosmology model? The judges are the same people who have built their entire career on the standard model. For decades, they have published papers on dark matter, dark energy, and inflation. Their jobs, their funding, their students depend on it. If you send them a paper that says dark matter does not exist, you ask them to say their life's work is useless. It is like asking Coca-Cola to judge a study that says sugar is poison. '''So the model is not protected because it is true or logical or universe-compatible, but because the referees are both judges and parties.''' Moreover, a philosopher named Karl Popper said: for a theory to be scientific, you must be able to prove it wrong. But what ΛCDM does is: * A galaxy moves too fast? add dark matter. * The universe expands too fast? add dark energy. * The universe is too uniform? add inflation. * The numbers do not fit? adjust the cosmological constant. '''So what means a model that can never be proved false?''' Cosmology today is a discipline in difficulty. Not because its observations are lacking — the opposite is true. The instruments have never been more powerful, the data more abundant, the collaborations more international. But because the model that organizes this abundance, ΛCDM, has accumulated a series of unresolved incongruities that no longer seem to trouble anyone. Most of these following incongruities have the same structure. An observation is made. The model cannot account for it with its existing entities. Mathematical calculations are produced to elaborate predictions and a new entity, or a new mechanism, is added as a named patch. This is exactly how mathematics often replaces thought. = The Long Long list = == 1 - the Singularity == In the 1960s, when observational means were still limited, it was possible to invent the most fanciful scenarios — such as that of the Big Bang and its Singularity, positioned in the middle of nowhere. This interpretation had the audacity to proclaim that the universe is all that exists, while placing its point of departure — the Singularity, origin of the Big Bang — in another space, about which nothing is known and whose essence is never explained. The reason given for this illogicality was that this point arose from sophisticated mathematical results whose ins and outs, one must believe, were known only to a few initiates. '''The Singularity is a deception because it cannot be called a simple error.''' The problem, however, is not mathematical but logical. A baby cannot create its own mother in order to be born. The mother must exist before the birth of the child. Likewise, the Universe cannot create the Singularity from which it is supposed to emerge if it is a prerequisite for its own emergence. * One is entitled to ask what mathematics has to do with the origin of the universe, and how scientists could allow themselves, as in the Bible, to invent the birth of the universe. * One is also entitled to ask what became of that point outside the universe once the universe was deployed. * And one is entitled to ask why, among the thousands of scientists of that era, no one rose up against this absurdity to have this completely fanciful hypothesis annulled. At first sight, this may seem to reveal a fundamental flaw. But the greater problem is what followed: '''decades of defending the model''', spending public money, introducing additional components to account for discrepancies, invoking new forms of energy, and adding matter, as though the Universe did not already contain enough. This is why this criticism extends beyond the model itself to the way it has been developed, defended, and presented as the dominant account of the Universe, rather than reconsidered from its very first millisecond. I do not need to answer this question. Logic must prevail. Either the old guard recognised the fundamental flaw and knowingly misled the public, or they failed to recognise it, in which case their competence must be called into question. '''The possibility that those responsible misled the public cannot simply be dismissed.''' But the consequences go far beyond the question of personal responsibility. If the foundations of a model are fundamentally flawed, everything built upon them becomes questionable. Decades of research, increasingly elaborate explanations, and billions in public expenditure cannot turn an unsound foundation into a sound one. '''One cannot build a castle on shifting sands and expect the upper floors to stand firm.''' This is why the initial logic matters so much. If it fails, the entire construction must be reconsidered, however impressive it may appear. And if the flaw has been overlooked or ignored from the very beginning, then the failure is not merely a detail of the model. It reaches the very heart of the scientific enterprise. '''This is not how science should function, and that is why, in all supplementary texts and in the main UG.NUG article, ΛCDM will not be regarded at all as a valid cosmological model but rather as a deceit.''' == 2 - the Time == This topic is covered in a separate document == 3 - the Mass Imbroglio == This topic is covered in a separate document == 4 - the CMB == This topic is covered in a separate document == 5 - the Black Holes == This topic is covered in a separate document == 6- Dark Matter == The term appears in the very name of the model: ΛCDM — Lambda Cold Dark Matter. It is the most eminent patch added to the model and is presented as a substance that accounts for about 26% of the universe. It does not emit, absorb, or reflect light. It has never been detected directly, in fifty years of research. But the most telling point is that its distribution must be adjusted for each galaxy. A substance whose quantity and shape change from one object to the next is not a substance, but a variable, introduced to make the equations fit. And the model treats it as if it were a physical entity. The language used — ''dark matter'', ''halo'', ''density profile'' — gives the impression that something has been identified, when nothing has. == 7 - Dark Energy == This is another patch that is said to account for about 69% of the universe, and to drive an accelerated expansion. Its nature has never been identified. Its most natural theoretical value — the energy of the vacuum — is calculated to be 10¹²⁰ times larger than the observed value. This is the largest discrepancy between theory and measurement in the history of physics. But here again, the problem is what the term hides. What is called dark energy is not a substance that has been observed and then named. It is a difference between a measurement and an expectation. Instead of questioning the model, the gap was given a name to make it sound like a discovery. == 8 - Model and Reality == ΛCDM is primarily a mathematical model. As mentioned in one of the comments above, using mathematics in a philosophical cosmology served to make it a way to show superiority and to secure taxpayers' money. But in doing so, it also pushed the model to a point where it does not really correspond to reality. And that led to a mathematical model no longer treated as a description of reality, but as reality itself. When an equation predicts a singularity, a black hole, or an inflaton field, these entities are discussed as if they existed — even though no observation has ever confirmed them. The map has become the territory. But once the course is run, backing becomes impossible. This shift has a direct consequence for the way the unknown is treated. In the perceptual mode, the unknown is a starting point. In the formal mode, the unknown is a failure. It is something to be filled, patched, or denied... The unknown is not called "the unknown", but a parameter, a field, a constant, an energy. Each of these names gives the false impression that it has been identified. == 9 - Ghosts to Geometry == Here again, the model is confronted with its ghosts. The ones it wants to put shoes on in order to make them more "human" and less frightening. Quantum particles are ghosts. And like ghosts, they have no perceptible geometry, or even a perceptible aspect at all. Nobody has ever seen a particle. We know they exist because, in some situations, they interact with our reality for a milli-millisecond. And if, by chance, they hit one of the detectors of a laboratory, then we just understand their passage and can measure only a limited set of parameters. Yet, in quantum field theory, particles are described as excitations of fields and treated as objects — given positions, trajectories, individual identities. This is a leftover from classical mechanics, applied to a regime where it has no meaning and where everything measured  in such geometric terms is purely imaginary. == 10 - Gravity Quantization == Gravity has never been observed at the quantum scale.  This is why, in 1935 Matvei Bronstein thought it should be done. But the lack of observation, somehow, did not suggest to him, as it would have occurred to any logical scientist, that it was not necessary. No, of course. It was much better, once again, to force gravity to be part of quantum just because he decided it. One can wonder why all scientists treated this wish as a revelation. == 11 - Symmetries Versus Reality == The scientific tradition that produced the major conceptual ruptures was not, in its origins, a tradition of calculation. It was a tradition of perception. Its practitioners observed, intuited, and proposed new frameworks — often before they could formalize them, and most of the times without the mathematical tools to do so at all. Their strength was not precision. It was the ability to see what did not fit. === ''Copernicus'' === Nicolaus Copernicus was not a great mathematician. He was a canon, an administrator, and an astronomer by avocation. What he saw was not a new calculation, but an incoherence. The Ptolemaic system had become unmanageable: epicycles upon epicycles, deferents, equants, corrections added to corrections to keep the appearances consistent with a geocentric cosmos. Copernicus proposed to place the Sun at the centre — not because he could prove it, but because it produced a simpler and more coherent reading of the same observations (Copernicus, 1543). His book, ''De revolutionibus orbium coelestium'', was published in 1543, the year of his death. The mathematical apparatus it contained was not new, and not entirely correct. But the shift of perspective it introduced was decisive. It did not calculate a new universe. It read the same universe differently. === ''Kepler'' === Johannes Kepler is often presented as the mathematician who completed Copernicus. But his work began with a perception that was almost mystical: that the planets must follow harmonious paths, that the geometry of the cosmos must reflect a divine order. He spent years trying to fit the planetary orbits into nested Platonic solids — an effort that failed, but that led him, by persistence, to discover the elliptical orbits (Kepler, 1609). His three laws are mathematical. But they were not found by mathematics. They were found by a man who refused to accept circular orbits because circles did not fit what he perceived in the data. === ''Galileo'' === Galileo Galilei is remembered as the first modern scientist — the one who turned the telescope to the sky and observed what no one had seen. He saw the moons of Jupiter, the phases of Venus, the mountains on the Moon (Galilei, 1610). What he did with these observations was not calculation. It was an argument: that the Earth was not the centre of everything, and that the heavens were not perfect. His conflict with the Church is often presented as a conflict between science and religion. It was also a conflict between two modes: the mode that observes and reports, and the mode that holds to the established framework. === ''Newton'' === Isaac Newton is the hinge. He is the one who formalized — who gave the mathematical apparatus that would dominate physics for two centuries. But Newton himself was not only a mathematician. He spent more time on alchemy and theology than on physics. His intuition of a universal gravitation acting at a distance was, in his own time, considered almost occult. He did not derive it from equations. He saw that the same force that makes an apple fall might hold the Moon in its orbit (Newton, 1687) . Newton marks the beginning of the formal mode. But he belongs to both. His Principia is a mathematical monument. His mind was that of a man who perceived before he calculated. === ''Faraday'' === Michael Faraday is the clearest case. He had almost no mathematical training. He was a bookbinder's apprentice who became one of the greatest experimentalists in history. He discovered electromagnetic induction, formulated the concept of the field, and produced the lines of force that would later be formalized by Maxwell. Faraday could not write the equations of his own discoveries. He described them in words and in images. And yet his concepts were so accurate, so well perceived, that Maxwell built on them the mathematical edifice of electromagnetism. Faraday is the proof that the perceptual mode is not a lesser mode. It is a different mode, capable of producing concepts that mathematics then formalizes. And it should be added that the mathematics used in physics is not pure mathematics. It is a language — a way of describing the world with symbols, judged by its capacity to account for observation, not by its internal rigor. When this distinction is forgotten, when the language is taken for the thing itself, the model becomes an edifice of invented entities. This is what happened to cosmology. === ''Einstein'' === Albert Einstein is the last of the tradition. He was a physicist of perception: the thought experiment of riding a beam of light, the falling elevator, the intuition that time and space must bend. He did not have the mathematical tools himself — Marcel Grossmann provided them, and the geometry of Riemann and Minkowski did the rest. Einstein marks the end of a lineage. After him, physics would be dominated by formal production. The great conceptual ruptures would come less often, and they would come from within a framework of equations, not before it. What do these ruptures have in common? Each of these thinkers, in his own way, did the same thing. They saw something that did not fit. They refused to accept the established reading. They proposed a new one — often before they could prove it, often without the tools to formalize it. None of them began with equations. All of them began with perception. This is not a claim that mathematics is useless. It is a claim that the source of conceptual rupture is not mathematical, but perceptual. And it is that mode — the mode of perception, of reading the world before calculating it — that the twentieth century would progressively exclude. Since Galileo, physics has been built on a belief: that the universe is written in the language of mathematics. This belief has been fruitful — it has guided Newton, Maxwell, Einstein. But it has also become a dogma: the idea that a beautiful equation must be true. Over time, this dogma has led physicists to prefer elegance over observation. When an elegant equation fails to match reality, the equation is kept, and reality is patched. * The Higgs mechanism was added to save gauge symmetry. * Inflation was added to save the uniformity of the CMB. * Dark matter and dark energy were added to save the equations of gravity. These are not discoveries, but patches — mechanisms invented to preserve the beauty of mathematics. But an equation has the right to be elegant. The universe has the right not to be. Comparing them is a category error. The universe is not a mathematical object. It is what it is — and it asks only to be read. The transition did not happen everywhere at once. It happened in a specific place, at a specific time, and among a specific group of people. That place was Brussels. That time was October 1927. Those people were the participants of the Fifth Solvay Conference. == 12 - the Horizon Problem == According to the standard model itself, * the universe is 13.8 billion years old and light travels at a finite speed. * The radius of the observable universe is 46 billion light-years. * Therefore, light could not have travelled more than 13.8 billion light-years since the Big Bang. Yet regions on opposite sides of the observable sky are separated by more than 90 billion light-years. They could never have communicated. This is the horizon problem — a problem the standard model itself creates and never explains. == 13 - the Flatness Problem == For the universe to be as flat as it is today, it must have been flat to within one part in 10⁶⁰ in the first instants. This is an extraordinary fine-tuning, with no justification in the model itself. It is treated as a coincidence, and then explained by inflation — which is another patch. == 14 - Homogeneity and Isotropy == The model assumes that the universe was homogeneous and isotropic at the beginning. It does not explain why. It then explains the small deviations from this homogeneity by quantum fluctuations — which are themselves assumed. The chain of assumptions is never examined. == 15 - the Origin of Geometry == In 1915, with general relativity, Einstein proposed that space and time are not separate, but united into a single active entity: spacetime, which curves, expands, and ripples. Gravity is no longer a force, but a deformation of this geometry. This idea works very well to describe planets, stars, and galaxies. But it rests on a postulate: geometry exists from the very beginning. Yet the standard model itself says that the universe began in an extremely hot and dense state, where there were no atoms, no stable nuclei, no structures. Before even nucleosynthesis. So how can there be a geometry of space at a time when the objects filling it have none? The model does not explain it. It treats it as a given. == 16 - the Cosmological Constant == The cosmological constant is a number Einstein added to his equations in 1917. He needed it to keep the universe static — he thought it didn't move. When Hubble showed the universe was expanding, Einstein removed it. But in 1998, astronomers discovered that the expansion was accelerating. So the constant was brought back — this time to explain the acceleration. The problem? The value needed to explain the acceleration is 120 orders of magnitude smaller than what quantum physics predicts. It is the worst prediction in the history of physics. In practice, the constant is adjusted by hand to fit the observations. It is not derived from any theory. It is a patch — a number chosen to make the equations work. == 17 - Cosmic Inflation == In 1979-1980, several physicists — Starobinsky, Guth, Linde, Albrecht, Steinhardt — propose a solution to solve three problems at once: the flatness and the horizon problems, cited above, plus a third, the monopole problem, whose explanation is not essential here. What must be understood is that they wanted to solve three paradoxes of a wobbly model with a very wobbly solution they named inflation. The idea is as simple as it is far-fetched: just after the Big Bang, the universe would have undergone a phase of extraordinarily rapid expansion during which it would have gone from an infinitesimal point which was the singularity to a completely disproportionate size in a fraction of a second. This expansion would have diluted the monopoles, flattened the universe, and homogenized everything that was in contact before the expansion. To produce this expansion, you need the engine of inflation, a hypothetical field, a sort of energy that would have pushed space to expand. Inflation is not a discovery, but an invention which, in trying to solve three problems, created another series: * What is inflation? * Why did this mechanism start? * Why did it stop? This inflation is taught as a fact and presented as a certainty. This is, again, how cosmology still spits on the labor of taxpayers by extorting indecently earned funds for research. == 18 - the Measurement Problem == This quantum problem is abundantly described online. In short, it means elementary particles are not precisely locatable. But instead of criticizing quantum mechanics or the impossibility of locating a particle, it would be smarter to ask what quantum mechanics is. Because in the response, you find exactly why a particle is not locatable. Quantum mechanics is a regime of ghosts. It is a place our eyes do not see. We know it exists because chance led us to encounter it while reflecting on thermodynamics. Then what happened? It is all described in the chapter "The Fear of the Unexplainable," which describes how scientists decided to consider it a property of matter instead of a strange phenomenon. == 19 - Quantum and Relativity == The "two worlds" expression is also very well known and described online but here again the problem is approached wrongly: it does not talk about reality but only about what physicists cannot understand. By physicists, let us be clear: the majority. To say they cannot understand is not an insult. It is a statement about their understanding of what science is. Science should be curiosity, should be no dead angles, no shadowed zones. When a scientist does not dig deep enough into his knowledge he cannot be called a scientist, but merely a technician — especially if he sleeps well. Now, quantum and local relativity — since Einstein's cosmic relativity is false — are part of the same world. If someone sees them as separate, it is because they are influenced by the 1900s trend that considers quantum as a physical object that does not respond or behave like the other real  physical objects of the universe. The truth is, and no doubt about it, that the quantum regime is the universe's system without which it would collapse. And the evidence is under our eyes: it is invisible, incomprehensible, impenetrable, indestructible, inalterable. It means, in other words, that this regime is a no man's land. Now, one could object that a no man's land would not be able to interact with our reality like at CERN when a particle hits a detector. The response is that what interacts with us is not a quantum particle as such, but its energetic expression. A detector is a geometric object, an object of our world. When the particle is trapped and forced to encounter our world, the universe translates it into energy because this is the only language that the geometric world is able to understand, feel, perceive. Without this energy, the universe would not have been able to build the world we know, the planets, the stars, and then the flora and fauna. Since we, humans, are part of this fauna, we too are animated by this energy. All is totally normal and thinking anything else is undoubtedly false. == 20 - Curvature of Spacetime == We are told gravity is the curvature of spacetime. Imagine a rubber sheet. You put a heavy ball on it, the sheet bends. That bending is gravity. But the rubber sheet exists. You can touch it. Spacetime is not a material object. It is only a formula, numbers on a blackboard. Whether one speaks of local or cosmic spacetime makes no difference. Nothing can bend mathematics. This contradiction is never discussed. = on Mathematics = Mathematics is an extraordinarily powerful tool, but it is also a product of the human brain: a system developed to describe, organise, and calculate relationships that we perceive or conceive. It has no power to dictate what Man is or how he must behave. The same applies to Man, a product of the Universe, who has no power to dictate what the Universe is or how it must behave. '''The power of mathematics has limits.''' Mathematics can establish what follows from a set of assumptions. It cannot, by itself, establish that those assumptions correctly describe the nature of reality. A mathematically consistent model may be an excellent representation of certain observations without necessarily providing a correct account of what the Universe actually is. The distinction is fundamental, and this is why, in my view, ΛCDM has failed: '''the ability to calculate how something behaves is not the same as understanding what it is.''' In technology, mathematical relationships help us design, construct, and operate devices such as lasers, scanners, and digital audio players. Yet equations alone do not conceive these devices or determine what they should be. Human beings must first identify a problem, develop a concept, and decide what they intend to achieve. Mathematics then helps turn that concept into a working system. The same distinction matters in cosmology. Astronomical predictions are derived from physical models, mathematical relationships, and assumptions about the Universe. When a prediction agrees with observation, this is meaningful evidence that the model captures something real. But it does not automatically establish that every assumption is correct, or that the model's interpretation reveals the true nature of what is observed. A calculation can be correct while the interpretation built around it remains questionable. The danger arises when the success of the mathematical formalism is taken as proof of the physical picture it describes. Difficulties may then be addressed by adding new assumptions or components, while the original conceptual foundations receive insufficient scrutiny. Mathematical sophistication can make a model increasingly elaborate without necessarily bringing us closer to understanding the reality it is intended to represent. The Universe does not depend on our equations to exist. Our equations depend on our attempts to understand the Universe. Whatever mathematical tools we use, the starting point must remain the physical reality we seek to explain, not the formalism through which we have chosen to describe it. '''Mathematics should serve our understanding of the Universe, guided by observation, not decide what the Universe is.''' = the Divorce = Criticizing ΛCDM is not criticizing anyone — it is criticizing a reading of the universe. Despite its venerable name, ΛCDM '''is nothing more than an interpretation'''. And since the universe itself remains silent and sparing in its revelations, it is remarkably easy to be right — or wrong. What distinguishes one reading from another is, consequently, its coherence, its agreement with observation, and its capacity to be tested. Coherence alone is not enough — a perfectly coherent system can be false, and history has shown this more than once. As in a police investigation or a computer program, if coherence is missing, the culprit is never found, the program does not run, and the equations meant to describe the universe fail to match observation. It is not dramatic; it is only theory. The current theory — the BBP as it stands — does not account for the universe in a way that satisfies its own criteria. It accumulates unresolved problems and adds new entities to mask them. This may sound extreme, but once you add: ''and yet the world still works'', the statement becomes far less shocking. This is made possible by the existence of two distinct physics. This is what I discovered through my research. Yes, it is surprising. No, it is never mentioned. These two physics are: * A '''theoretical physics''', currently the Big Bang paradigm (BBP), which accumulates conceptual flaws. * An '''applied physics''', through which we build lasers, MP3s, smartphones, antennas, MRIs, and satellites — and in this case, everything works perfectly. Without this distinction, it is impossible to understand how the world can function despite a conceptual physics largely disconnected from reality — where many proposed theories have failed to deliver what they promised: * string theory (no experimental evidence, unverifiable extra dimensions), * M-theory (no testable predictions), * supergravity (never observed), * supersymmetry (no superpartners detected at the LHC), * GUTs (no proton decay), * canonical quantum gravity (non-renormalizable), * loop quantum gravity (no testable predictions). Some of these are genuinely ruled out by experiment: * local hidden variables (ruled out by Bell tests), * steady-state cosmology (contradicted by the CMB), * naïve dark-matter-free cosmologies (invalidated), * naïve emergent gravity (incomplete and non-predictive). Applied physics therefore relies primarily on operational equations of its own making — the ones capable of building machines. But it must be said clearly: applied physics is not a separate physics. It uses quantum mechanics, electromagnetism, and relativity — the same theories that foundational research develops. A transistor is quantum mechanics. A GPS is general relativity. The point is not that the theories differ. It is that cosmological constructs such as dark matter, dark energy, inflation, and the cosmological constant play no role in the design of any instrument. Not one component, not one calculation, not one correction. Physicists concerned with practical reality rarely interact with conceptual physicists who, judging by the distance separating the two communities, no longer seem to read the universe as it truly is. Applied physics coexists with these conceptual models without actually relying on them. Those models remain largely confined to academic settings, and their influence seldom extends beyond the walls of universities. Gradually, this became impossible to ignore. The divergence can be traced back almost to Einstein's General Theory of Relativity, when he introduced into his most famous equation — as we shall examine in detail in the chapter on mass — a profoundly ambiguous factor, *m*, thereby freezing into place a fundamental confusion that has led, over the course of a century, to an ongoing conceptual drift. A tiny ambiguity, yet enough to divert an entire branch of physics from its natural course. Yes, this is precisely the kind of information that is rarely shared with the general public and that, without doubt, many physicists themselves have never even suspected. When a rocket must be sent to the Moon, engineers use Newtonian mechanics, orbital dynamics, and relativity. They do not consult cosmology. This separation is real, but it is not a separation between two physics. It is a separation between the physics that builds things and the physics that speculates about origins. Two cultures coexist, they speak the same language, but they no longer read the same universe — and no one seems particularly concerned by it. Well, perhaps taxpayers should be, although most of them are unaware of it. I certainly was. = Anthropocentrism = The universe provides no anchor, no reference. Without GPS, it is impossible to know a position. Thus, we do not know where Earth is located — especially given its minuscule size in the cosmic expanse, comparable to a pinhead on a trillion football fields. All the measurements we know are therefore anthropocentric or purely terrestrial. Their close connection to humanity and its existence is undeniable. If position does not exist in space, then distance does not exist either, nor acceleration, velocity, weight, mass, or time. When we send a rocket to the Moon, it navigates using GPS stations orbiting Earth, which provide a reference up to a certain distance — the range of communication. Beyond that distance, the rocket is lost. In the case of a space probe like Hubble, which travels millions of kilometers away, it is a radio signal sent back to Earth that informs us of its distance. If communication is lost, the probe is also lost. Nothing can occur in space without a terrestrial reference — or, in the future, a reference from another planet if humanity were to inhabit one. = the Quantum Makeup = The lack of scientific rigour is nowhere more visible than in quantum mechanics — this mysterious regime present in every atom of matter, which the Big Bang paradigm (BBP) insists on reducing to mere mathematics out of fear of the unknown. It represents the unique, singular, and indelible signature of the universe. The BBP has constructed mathematical spaces, geometries, and states that no observation has ever confirmed. They work — they predict the right numbers. But they do not describe what exists. Elementary particles are invisible to the naked eye and to the scanning tunneling microscope. No one has ever observed a wave function. This means that any representation of this regime is purely conjectural. These representations are all the more useless because only certain non-geometric parameters allow the use of quantum mechanics in research: * Energy levels via spectrometry, * Transition probabilities in lasers, * Electronic structures via STM, * Conduction bands in solid-state physics, * Bound states in quantum chemistry. g7we4nau99u7fa0ml9upmav3k0qcs51 2844414 2844199 2026-11-04T05:26:34Z Wb525 3112992 Text list 2844414 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Introduction = For 60 years, the field of cosmology has been basically held hostage by those who built their careers on ΛCDM. By blocking any publications challenging its foundations, they make sure it cannot be replaced. The reason for this cannot be anything other than the preservation of status, publication revenues, egos, careers, and funding. What follows is the result of this forced consanguineous marriage where ideas, like blood, are not regularly renewed: a long list of paradoxes, flaws, logical falls, and patches that academic physicists have applied over the years, systematically failing to ask themselves whether each step was right. The astonishing fact is the enforced silence of an entire field through threats to the careers of those who might dare to speak out. This allows the old guard to feel no shame when they, together with their sacrosanct mathematics, invent a singularity. Or when they invent matter-hungry black holes. Or when their imaginative minds put forward such a complicated explanation for the CMB, presenting it as a fossil. Moreover, the complexity of this interpretation seems to show a profound disregard for the principle of parsimony — a principle that should be a first consideration when dealing with a discovery of such importance. The insiders feel no shame because they are supported by group authority, an old sociological concept that confirms the power of those who belong to the strongest coalition. And when the ideology of this group is wrong, it is simply turned into dogma. Like religion did for God. Like cosmology did for ΛCDM. Then a hierarchical pyramid can rise from the ground and reign over the immense revenues this belief generates. And from that moment on, the behaviour of the insiders becomes outrageous and contemptuous towards anyone who dares to criticize their doctrine. The reaction is systematic. Just as Russia does when it accuses dissidents of psychiatric disorders to justify their capture and isolation. Outsiders' ideas, proposals, and models are not examined, but simply ignored in the name of their supposed inferiority. '''When a baby cries, they can be offered a candy or a hug. They have always chosen the candy to create addiction,''' A theory in science must be judged by independent judges. But who judges the so-called ΛCDM, the standard cosmology model? The judges are the same people who have built their entire career on the standard model. For decades, they have published papers on dark matter, dark energy, and inflation. Their jobs, their funding, their students depend on it. If you send them a paper that says dark matter does not exist, you ask them to say their life's work is useless. It is like asking Coca-Cola to judge a study that says sugar is poison. '''So the model is not protected because it is true or logical or universe-compatible, but because the referees are both judges and parties.''' Moreover, a philosopher named Karl Popper said: for a theory to be scientific, you must be able to prove it wrong. But what ΛCDM does is: * A galaxy moves too fast? add dark matter. * The universe expands too fast? add dark energy. * The universe is too uniform? add inflation. * The numbers do not fit? adjust the cosmological constant. '''So what means a model that can never be proved false?''' Cosmology today is a discipline in difficulty. Not because its observations are lacking — the opposite is true. The instruments have never been more powerful, the data more abundant, the collaborations more international. But because the model that organizes this abundance, ΛCDM, has accumulated a series of unresolved incongruities that no longer seem to trouble anyone. Most of these following incongruities have the same structure. An observation is made. The model cannot account for it with its existing entities. Mathematical calculations are produced to elaborate predictions and a new entity, or a new mechanism, is added as a named patch. This is exactly how mathematics often replaces thought. = The Long Long list = == 1 - the Singularity == In the 1960s, when observational means were still limited, it was possible to invent the most fanciful scenarios — such as that of the Big Bang and its Singularity, positioned in the middle of nowhere. This interpretation had the audacity to proclaim that the universe is all that exists, while placing its point of departure — the Singularity, origin of the Big Bang — in another space, about which nothing is known and whose essence is never explained. The reason given for this illogicality was that this point arose from sophisticated mathematical results whose ins and outs, one must believe, were known only to a few initiates. '''The Singularity is a deception because it cannot be called a simple error.''' The problem, however, is not mathematical but logical. A baby cannot create its own mother in order to be born. The mother must exist before the birth of the child. Likewise, the Universe cannot create the Singularity from which it is supposed to emerge if it is a prerequisite for its own emergence. * One is entitled to ask what mathematics has to do with the origin of the universe, and how scientists could allow themselves, as in the Bible, to invent the birth of the universe. * One is also entitled to ask what became of that point outside the universe once the universe was deployed. * And one is entitled to ask why, among the thousands of scientists of that era, no one rose up against this absurdity to have this completely fanciful hypothesis annulled. At first sight, this may seem to reveal a fundamental flaw. But the greater problem is what followed: '''decades of defending the model''', spending public money, introducing additional components to account for discrepancies, invoking new forms of energy, and adding matter, as though the Universe did not already contain enough. This is why this criticism extends beyond the model itself to the way it has been developed, defended, and presented as the dominant account of the Universe, rather than reconsidered from its very first millisecond. I do not need to answer this question. Logic must prevail. Either the old guard recognised the fundamental flaw and knowingly misled the public, or they failed to recognise it, in which case their competence must be called into question. '''The possibility that those responsible misled the public cannot simply be dismissed.''' But the consequences go far beyond the question of personal responsibility. If the foundations of a model are fundamentally flawed, everything built upon them becomes questionable. Decades of research, increasingly elaborate explanations, and billions in public expenditure cannot turn an unsound foundation into a sound one. '''One cannot build a castle on shifting sands and expect the upper floors to stand firm.''' This is why the initial logic matters so much. If it fails, the entire construction must be reconsidered, however impressive it may appear. And if the flaw has been overlooked or ignored from the very beginning, then the failure is not merely a detail of the model. It reaches the very heart of the scientific enterprise. '''This is not how science should function, and that is why, in all supplementary texts and in the main UG.NUG article, ΛCDM will not be regarded at all as a valid cosmological model but rather as a deceit.''' == 2 - the Time == This topic is covered in a separate document == 3 - the Mass Imbroglio == This topic is covered in a separate document == 4 - the CMB == This topic is covered in a separate document == 5 - the Black Holes == This topic is covered in a separate document == 6- Dark Matter == The term appears in the very name of the model: ΛCDM — Lambda Cold Dark Matter. It is the most eminent patch added to the model and is presented as a substance that accounts for about 26% of the universe. It does not emit, absorb, or reflect light. It has never been detected directly, in fifty years of research. But the most telling point is that its distribution must be adjusted for each galaxy. A substance whose quantity and shape change from one object to the next is not a substance, but a variable, introduced to make the equations fit. And the model treats it as if it were a physical entity. The language used — ''dark matter'', ''halo'', ''density profile'' — gives the impression that something has been identified, when nothing has. == 7 - Dark Energy == This is another patch that is said to account for about 69% of the universe, and to drive an accelerated expansion. Its nature has never been identified. Its most natural theoretical value — the energy of the vacuum — is calculated to be 10¹²⁰ times larger than the observed value. This is the largest discrepancy between theory and measurement in the history of physics. But here again, the problem is what the term hides. What is called dark energy is not a substance that has been observed and then named. It is a difference between a measurement and an expectation. Instead of questioning the model, the gap was given a name to make it sound like a discovery. == 8 - Model and Reality == ΛCDM is primarily a mathematical model. As mentioned in one of the comments above, using mathematics in a philosophical cosmology served to make it a way to show superiority and to secure taxpayers' money. But in doing so, it also pushed the model to a point where it does not really correspond to reality. And that led to a mathematical model no longer treated as a description of reality, but as reality itself. When an equation predicts a singularity, a black hole, or an inflaton field, these entities are discussed as if they existed — even though no observation has ever confirmed them. The map has become the territory. But once the course is run, backing becomes impossible. This shift has a direct consequence for the way the unknown is treated. In the perceptual mode, the unknown is a starting point. In the formal mode, the unknown is a failure. It is something to be filled, patched, or denied... The unknown is not called "the unknown", but a parameter, a field, a constant, an energy. Each of these names gives the false impression that it has been identified. == 9 - Ghosts to Geometry == Here again, the model is confronted with its ghosts. The ones it wants to put shoes on in order to make them more "human" and less frightening. Quantum particles are ghosts. And like ghosts, they have no perceptible geometry, or even a perceptible aspect at all. Nobody has ever seen a particle. We know they exist because, in some situations, they interact with our reality for a milli-millisecond. And if, by chance, they hit one of the detectors of a laboratory, then we just understand their passage and can measure only a limited set of parameters. Yet, in quantum field theory, particles are described as excitations of fields and treated as objects — given positions, trajectories, individual identities. This is a leftover from classical mechanics, applied to a regime where it has no meaning and where everything measured  in such geometric terms is purely imaginary. == 10 - Gravity Quantization == Gravity has never been observed at the quantum scale.  This is why, in 1935 Matvei Bronstein thought it should be done. But the lack of observation, somehow, did not suggest to him, as it would have occurred to any logical scientist, that it was not necessary. No, of course. It was much better, once again, to force gravity to be part of quantum just because he decided it. One can wonder why all scientists treated this wish as a revelation. == 11 - Symmetries Versus Reality == The scientific tradition that produced the major conceptual ruptures was not, in its origins, a tradition of calculation. It was a tradition of perception. Its practitioners observed, intuited, and proposed new frameworks — often before they could formalize them, and most of the times without the mathematical tools to do so at all. Their strength was not precision. It was the ability to see what did not fit. === ''Copernicus'' === Nicolaus Copernicus was not a great mathematician. He was a canon, an administrator, and an astronomer by avocation. What he saw was not a new calculation, but an incoherence. The Ptolemaic system had become unmanageable: epicycles upon epicycles, deferents, equants, corrections added to corrections to keep the appearances consistent with a geocentric cosmos. Copernicus proposed to place the Sun at the centre — not because he could prove it, but because it produced a simpler and more coherent reading of the same observations (Copernicus, 1543). His book, ''De revolutionibus orbium coelestium'', was published in 1543, the year of his death. The mathematical apparatus it contained was not new, and not entirely correct. But the shift of perspective it introduced was decisive. It did not calculate a new universe. It read the same universe differently. === ''Kepler'' === Johannes Kepler is often presented as the mathematician who completed Copernicus. But his work began with a perception that was almost mystical: that the planets must follow harmonious paths, that the geometry of the cosmos must reflect a divine order. He spent years trying to fit the planetary orbits into nested Platonic solids — an effort that failed, but that led him, by persistence, to discover the elliptical orbits (Kepler, 1609). His three laws are mathematical. But they were not found by mathematics. They were found by a man who refused to accept circular orbits because circles did not fit what he perceived in the data. === ''Galileo'' === Galileo Galilei is remembered as the first modern scientist — the one who turned the telescope to the sky and observed what no one had seen. He saw the moons of Jupiter, the phases of Venus, the mountains on the Moon (Galilei, 1610). What he did with these observations was not calculation. It was an argument: that the Earth was not the centre of everything, and that the heavens were not perfect. His conflict with the Church is often presented as a conflict between science and religion. It was also a conflict between two modes: the mode that observes and reports, and the mode that holds to the established framework. === ''Newton'' === Isaac Newton is the hinge. He is the one who formalized — who gave the mathematical apparatus that would dominate physics for two centuries. But Newton himself was not only a mathematician. He spent more time on alchemy and theology than on physics. His intuition of a universal gravitation acting at a distance was, in his own time, considered almost occult. He did not derive it from equations. He saw that the same force that makes an apple fall might hold the Moon in its orbit (Newton, 1687) . Newton marks the beginning of the formal mode. But he belongs to both. His Principia is a mathematical monument. His mind was that of a man who perceived before he calculated. === ''Faraday'' === Michael Faraday is the clearest case. He had almost no mathematical training. He was a bookbinder's apprentice who became one of the greatest experimentalists in history. He discovered electromagnetic induction, formulated the concept of the field, and produced the lines of force that would later be formalized by Maxwell. Faraday could not write the equations of his own discoveries. He described them in words and in images. And yet his concepts were so accurate, so well perceived, that Maxwell built on them the mathematical edifice of electromagnetism. Faraday is the proof that the perceptual mode is not a lesser mode. It is a different mode, capable of producing concepts that mathematics then formalizes. And it should be added that the mathematics used in physics is not pure mathematics. It is a language — a way of describing the world with symbols, judged by its capacity to account for observation, not by its internal rigor. When this distinction is forgotten, when the language is taken for the thing itself, the model becomes an edifice of invented entities. This is what happened to cosmology. === ''Einstein'' === Albert Einstein is the last of the tradition. He was a physicist of perception: the thought experiment of riding a beam of light, the falling elevator, the intuition that time and space must bend. He did not have the mathematical tools himself — Marcel Grossmann provided them, and the geometry of Riemann and Minkowski did the rest. Einstein marks the end of a lineage. After him, physics would be dominated by formal production. The great conceptual ruptures would come less often, and they would come from within a framework of equations, not before it. What do these ruptures have in common? Each of these thinkers, in his own way, did the same thing. They saw something that did not fit. They refused to accept the established reading. They proposed a new one — often before they could prove it, often without the tools to formalize it. None of them began with equations. All of them began with perception. This is not a claim that mathematics is useless. It is a claim that the source of conceptual rupture is not mathematical, but perceptual. And it is that mode — the mode of perception, of reading the world before calculating it — that the twentieth century would progressively exclude. Since Galileo, physics has been built on a belief: that the universe is written in the language of mathematics. This belief has been fruitful — it has guided Newton, Maxwell, Einstein. But it has also become a dogma: the idea that a beautiful equation must be true. Over time, this dogma has led physicists to prefer elegance over observation. When an elegant equation fails to match reality, the equation is kept, and reality is patched. * The Higgs mechanism was added to save gauge symmetry. * Inflation was added to save the uniformity of the CMB. * Dark matter and dark energy were added to save the equations of gravity. These are not discoveries, but patches — mechanisms invented to preserve the beauty of mathematics. But an equation has the right to be elegant. The universe has the right not to be. Comparing them is a category error. The universe is not a mathematical object. It is what it is — and it asks only to be read. The transition did not happen everywhere at once. It happened in a specific place, at a specific time, and among a specific group of people. That place was Brussels. That time was October 1927. Those people were the participants of the Fifth Solvay Conference. == 12 - the Horizon Problem == According to the standard model itself, * the universe is 13.8 billion years old and light travels at a finite speed. * The radius of the observable universe is 46 billion light-years. * Therefore, light could not have travelled more than 13.8 billion light-years since the Big Bang. Yet regions on opposite sides of the observable sky are separated by more than 90 billion light-years. They could never have communicated. This is the horizon problem — a problem the standard model itself creates and never explains. == 13 - the Flatness Problem == For the universe to be as flat as it is today, it must have been flat to within one part in 10⁶⁰ in the first instants. This is an extraordinary fine-tuning, with no justification in the model itself. It is treated as a coincidence, and then explained by inflation — which is another patch. == 14 - Homogeneity and Isotropy == The model assumes that the universe was homogeneous and isotropic at the beginning. It does not explain why. It then explains the small deviations from this homogeneity by quantum fluctuations — which are themselves assumed. The chain of assumptions is never examined. == 15 - the Origin of Geometry == In 1915, with general relativity, Einstein proposed that space and time are not separate, but united into a single active entity: spacetime, which curves, expands, and ripples. Gravity is no longer a force, but a deformation of this geometry. This idea works very well to describe planets, stars, and galaxies. But it rests on a postulate: geometry exists from the very beginning. Yet the standard model itself says that the universe began in an extremely hot and dense state, where there were no atoms, no stable nuclei, no structures. Before even nucleosynthesis. So how can there be a geometry of space at a time when the objects filling it have none? The model does not explain it. It treats it as a given. == 16 - the Cosmological Constant == The cosmological constant is a number Einstein added to his equations in 1917. He needed it to keep the universe static — he thought it didn't move. When Hubble showed the universe was expanding, Einstein removed it. But in 1998, astronomers discovered that the expansion was accelerating. So the constant was brought back — this time to explain the acceleration. The problem? The value needed to explain the acceleration is 120 orders of magnitude smaller than what quantum physics predicts. It is the worst prediction in the history of physics. In practice, the constant is adjusted by hand to fit the observations. It is not derived from any theory. It is a patch — a number chosen to make the equations work. == 17 - Cosmic Inflation == In 1979-1980, several physicists — Starobinsky, Guth, Linde, Albrecht, Steinhardt — propose a solution to solve three problems at once: the flatness and the horizon problems, cited above, plus a third, the monopole problem, whose explanation is not essential here. What must be understood is that they wanted to solve three paradoxes of a wobbly model with a very wobbly solution they named inflation. The idea is as simple as it is far-fetched: just after the Big Bang, the universe would have undergone a phase of extraordinarily rapid expansion during which it would have gone from an infinitesimal point which was the singularity to a completely disproportionate size in a fraction of a second. This expansion would have diluted the monopoles, flattened the universe, and homogenized everything that was in contact before the expansion. To produce this expansion, you need the engine of inflation, a hypothetical field, a sort of energy that would have pushed space to expand. Inflation is not a discovery, but an invention which, in trying to solve three problems, created another series: * What is inflation? * Why did this mechanism start? * Why did it stop? This inflation is taught as a fact and presented as a certainty. This is, again, how cosmology still spits on the labor of taxpayers by extorting indecently earned funds for research. == 18 - the Measurement Problem == This quantum problem is abundantly described online. In short, it means elementary particles are not precisely locatable. But instead of criticizing quantum mechanics or the impossibility of locating a particle, it would be smarter to ask what quantum mechanics is. Because in the response, you find exactly why a particle is not locatable. Quantum mechanics is a regime of ghosts. It is a place our eyes do not see. We know it exists because chance led us to encounter it while reflecting on thermodynamics. Then what happened? It is all described in the chapter "The Fear of the Unexplainable," which describes how scientists decided to consider it a property of matter instead of a strange phenomenon. == 19 - Quantum and Relativity == The "two worlds" expression is also very well known and described online but here again the problem is approached wrongly: it does not talk about reality but only about what physicists cannot understand. By physicists, let us be clear: the majority. To say they cannot understand is not an insult. It is a statement about their understanding of what science is. Science should be curiosity, should be no dead angles, no shadowed zones. When a scientist does not dig deep enough into his knowledge he cannot be called a scientist, but merely a technician — especially if he sleeps well. Now, quantum and local relativity — since Einstein's cosmic relativity is false — are part of the same world. If someone sees them as separate, it is because they are influenced by the 1900s trend that considers quantum as a physical object that does not respond or behave like the other real  physical objects of the universe. The truth is, and no doubt about it, that the quantum regime is the universe's system without which it would collapse. And the evidence is under our eyes: it is invisible, incomprehensible, impenetrable, indestructible, inalterable. It means, in other words, that this regime is a no man's land. Now, one could object that a no man's land would not be able to interact with our reality like at CERN when a particle hits a detector. The response is that what interacts with us is not a quantum particle as such, but its energetic expression. A detector is a geometric object, an object of our world. When the particle is trapped and forced to encounter our world, the universe translates it into energy because this is the only language that the geometric world is able to understand, feel, perceive. Without this energy, the universe would not have been able to build the world we know, the planets, the stars, and then the flora and fauna. Since we, humans, are part of this fauna, we too are animated by this energy. All is totally normal and thinking anything else is undoubtedly false. == 20 - Curvature of Spacetime == We are told gravity is the curvature of spacetime. Imagine a rubber sheet. You put a heavy ball on it, the sheet bends. That bending is gravity. But the rubber sheet exists. You can touch it. Spacetime is not a material object. It is only a formula, numbers on a blackboard. Whether one speaks of local or cosmic spacetime makes no difference. Nothing can bend mathematics. This contradiction is never discussed. = on Mathematics = Mathematics is an extraordinarily powerful tool, but it is also a product of the human brain: a system developed to describe, organise, and calculate relationships that we perceive or conceive. It has no power to dictate what Man is or how he must behave. The same applies to Man, a product of the Universe, who has no power to dictate what the Universe is or how it must behave. '''The power of mathematics has limits.''' Mathematics can establish what follows from a set of assumptions. It cannot, by itself, establish that those assumptions correctly describe the nature of reality. A mathematically consistent model may be an excellent representation of certain observations without necessarily providing a correct account of what the Universe actually is. The distinction is fundamental, and this is why, in my view, ΛCDM has failed: '''the ability to calculate how something behaves is not the same as understanding what it is.''' In technology, mathematical relationships help us design, construct, and operate devices such as lasers, scanners, and digital audio players. Yet equations alone do not conceive these devices or determine what they should be. Human beings must first identify a problem, develop a concept, and decide what they intend to achieve. Mathematics then helps turn that concept into a working system. The same distinction matters in cosmology. Astronomical predictions are derived from physical models, mathematical relationships, and assumptions about the Universe. When a prediction agrees with observation, this is meaningful evidence that the model captures something real. But it does not automatically establish that every assumption is correct, or that the model's interpretation reveals the true nature of what is observed. A calculation can be correct while the interpretation built around it remains questionable. The danger arises when the success of the mathematical formalism is taken as proof of the physical picture it describes. Difficulties may then be addressed by adding new assumptions or components, while the original conceptual foundations receive insufficient scrutiny. Mathematical sophistication can make a model increasingly elaborate without necessarily bringing us closer to understanding the reality it is intended to represent. The Universe does not depend on our equations to exist. Our equations depend on our attempts to understand the Universe. Whatever mathematical tools we use, the starting point must remain the physical reality we seek to explain, not the formalism through which we have chosen to describe it. '''Mathematics should serve our understanding of the Universe, guided by observation, not decide what the Universe is.''' = the Divorce = Criticizing ΛCDM is not criticizing anyone — it is criticizing a reading of the universe. Despite its venerable name, ΛCDM '''is nothing more than an interpretation'''. And since the universe itself remains silent and sparing in its revelations, it is remarkably easy to be right — or wrong. What distinguishes one reading from another is, consequently, its coherence, its agreement with observation, and its capacity to be tested. Coherence alone is not enough — a perfectly coherent system can be false, and history has shown this more than once. As in a police investigation or a computer program, if coherence is missing, the culprit is never found, the program does not run, and the equations meant to describe the universe fail to match observation. It is not dramatic; it is only theory. The current theory — the BBP as it stands — does not account for the universe in a way that satisfies its own criteria. It accumulates unresolved problems and adds new entities to mask them. This may sound extreme, but once you add: ''and yet the world still works'', the statement becomes far less shocking. This is made possible by the existence of two distinct physics. This is what I discovered through my research. Yes, it is surprising. No, it is never mentioned. These two physics are: * A '''theoretical physics''', currently the Big Bang paradigm (BBP), which accumulates conceptual flaws. * An '''applied physics''', through which we build lasers, MP3s, smartphones, antennas, MRIs, and satellites — and in this case, everything works perfectly. Without this distinction, it is impossible to understand how the world can function despite a conceptual physics largely disconnected from reality — where many proposed theories have failed to deliver what they promised: * string theory (no experimental evidence, unverifiable extra dimensions), * M-theory (no testable predictions), * supergravity (never observed), * supersymmetry (no superpartners detected at the LHC), * GUTs (no proton decay), * canonical quantum gravity (non-renormalizable), * loop quantum gravity (no testable predictions). Some of these are genuinely ruled out by experiment: * local hidden variables (ruled out by Bell tests), * steady-state cosmology (contradicted by the CMB), * naïve dark-matter-free cosmologies (invalidated), * naïve emergent gravity (incomplete and non-predictive). Applied physics therefore relies primarily on operational equations of its own making — the ones capable of building machines. But it must be said clearly: applied physics is not a separate physics. It uses quantum mechanics, electromagnetism, and relativity — the same theories that foundational research develops. A transistor is quantum mechanics. A GPS is general relativity. The point is not that the theories differ. It is that cosmological constructs such as dark matter, dark energy, inflation, and the cosmological constant play no role in the design of any instrument. Not one component, not one calculation, not one correction. Physicists concerned with practical reality rarely interact with conceptual physicists who, judging by the distance separating the two communities, no longer seem to read the universe as it truly is. Applied physics coexists with these conceptual models without actually relying on them. Those models remain largely confined to academic settings, and their influence seldom extends beyond the walls of universities. Gradually, this became impossible to ignore. The divergence can be traced back almost to Einstein's General Theory of Relativity, when he introduced into his most famous equation — as we shall examine in detail in the chapter on mass — a profoundly ambiguous factor, *m*, thereby freezing into place a fundamental confusion that has led, over the course of a century, to an ongoing conceptual drift. A tiny ambiguity, yet enough to divert an entire branch of physics from its natural course. Yes, this is precisely the kind of information that is rarely shared with the general public and that, without doubt, many physicists themselves have never even suspected. When a rocket must be sent to the Moon, engineers use Newtonian mechanics, orbital dynamics, and relativity. They do not consult cosmology. This separation is real, but it is not a separation between two physics. It is a separation between the physics that builds things and the physics that speculates about origins. Two cultures coexist, they speak the same language, but they no longer read the same universe — and no one seems particularly concerned by it. Well, perhaps taxpayers should be, although most of them are unaware of it. I certainly was. = Anthropocentrism = The universe provides no anchor, no reference. Without GPS, it is impossible to know a position. Thus, we do not know where Earth is located — especially given its minuscule size in the cosmic expanse, comparable to a pinhead on a trillion football fields. All the measurements we know are therefore anthropocentric or purely terrestrial. Their close connection to humanity and its existence is undeniable. If position does not exist in space, then distance does not exist either, nor acceleration, velocity, weight, mass, or time. When we send a rocket to the Moon, it navigates using GPS stations orbiting Earth, which provide a reference up to a certain distance — the range of communication. Beyond that distance, the rocket is lost. In the case of a space probe like Hubble, which travels millions of kilometers away, it is a radio signal sent back to Earth that informs us of its distance. If communication is lost, the probe is also lost. Nothing can occur in space without a terrestrial reference — or, in the future, a reference from another planet if humanity were to inhabit one. = the Quantum Makeup = The lack of scientific rigour is nowhere more visible than in quantum mechanics — this mysterious regime present in every atom of matter, which the Big Bang paradigm (BBP) insists on reducing to mere mathematics out of fear of the unknown. It represents the unique, singular, and indelible signature of the universe. The BBP has constructed mathematical spaces, geometries, and states that no observation has ever confirmed. They work — they predict the right numbers. But they do not describe what exists. Elementary particles are invisible to the naked eye and to the scanning tunneling microscope. No one has ever observed a wave function. This means that any representation of this regime is purely conjectural. These representations are all the more useless because only certain non-geometric parameters allow the use of quantum mechanics in research: * Energy levels via spectrometry, * Transition probabilities in lasers, * Electronic structures via STM, * Conduction bands in solid-state physics, * Bound states in quantum chemistry. 8gc5n2cefp3kotu1n9hrb6o76qyh0nq 2844425 2844414 2026-11-04T05:45:22Z Wb525 3112992 2844425 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Introduction = For 60 years, the field of cosmology has been basically held hostage by those who built their careers on ΛCDM. By blocking any publications challenging its foundations, they make sure it cannot be replaced. The reason for this cannot be anything other than the preservation of status, publication revenues, egos, careers, and funding. What follows is the result of this forced consanguineous marriage where ideas, like blood, are not regularly renewed: a long list of paradoxes, flaws, logical falls, and patches that academic physicists have applied over the years, systematically failing to ask themselves whether each step was right. The astonishing fact is the enforced silence of an entire field through threats to the careers of those who might dare to speak out. This allows the old guard to feel no shame when they, together with their sacrosanct mathematics, invent a singularity. Or when they invent matter-hungry black holes. Or when their imaginative minds put forward such a complicated explanation for the CMB, presenting it as a fossil. Moreover, the complexity of this interpretation seems to show a profound disregard for the principle of parsimony — a principle that should be a first consideration when dealing with a discovery of such importance. The insiders feel no shame because they are supported by group authority, an old sociological concept that confirms the power of those who belong to the strongest coalition. And when the ideology of this group is wrong, it is simply turned into dogma. Like religion did for God. Like cosmology did for ΛCDM. Then a hierarchical pyramid can rise from the ground and reign over the immense revenues this belief generates. And from that moment on, the behaviour of the insiders becomes outrageous and contemptuous towards anyone who dares to criticize their doctrine. The reaction is systematic. Just as Russia does when it accuses dissidents of psychiatric disorders to justify their capture and isolation. Outsiders' ideas, proposals, and models are not examined, but simply ignored in the name of their supposed inferiority. '''When a baby cries, they can be offered a candy or a hug. They have always chosen the candy to create addiction,''' A theory in science must be judged by independent judges. But who judges the so-called ΛCDM, the standard cosmology model? The judges are the same people who have built their entire career on the standard model. For decades, they have published papers on dark matter, dark energy, and inflation. Their jobs, their funding, their students depend on it. If you send them a paper that says dark matter does not exist, you ask them to say their life's work is useless. It is like asking Coca-Cola to judge a study that says sugar is poison. '''So the model is not protected because it is true or logical or universe-compatible, but because the referees are both judges and parties.''' Moreover, a philosopher named Karl Popper said: for a theory to be scientific, you must be able to prove it wrong. But what ΛCDM does is: * A galaxy moves too fast? add dark matter. * The universe expands too fast? add dark energy. * The universe is too uniform? add inflation. * The numbers do not fit? adjust the cosmological constant. '''So what means a model that can never be proved false?''' Cosmology today is a discipline in difficulty. Not because its observations are lacking — the opposite is true. The instruments have never been more powerful, the data more abundant, the collaborations more international. But because the model that organizes this abundance, ΛCDM, has accumulated a series of unresolved incongruities that no longer seem to trouble anyone. Most of these following incongruities have the same structure. An observation is made. The model cannot account for it with its existing entities. Mathematical calculations are produced to elaborate predictions and a new entity, or a new mechanism, is added as a named patch. This is exactly how mathematics often replaces thought. = The Long Long list = == 1 - the Singularity == In the 1960s, when observational means were still limited, it was possible to invent the most fanciful scenarios — such as that of the Big Bang and its Singularity, positioned in the middle of nowhere. This interpretation had the audacity to proclaim that the universe is all that exists, while placing its point of departure — the Singularity, origin of the Big Bang — in another space, about which nothing is known and whose essence is never explained. The reason given for this illogicality was that this point arose from sophisticated mathematical results whose ins and outs, one must believe, were known only to a few initiates. '''The Singularity is a deception because it cannot be called a simple error.''' The problem, however, is not mathematical but logical. A baby cannot create its own mother in order to be born. The mother must exist before the birth of the child. Likewise, the Universe cannot create the Singularity from which it is supposed to emerge if it is a prerequisite for its own emergence. * One is entitled to ask what mathematics has to do with the origin of the universe, and how scientists could allow themselves, as in the Bible, to invent the birth of the universe. * One is also entitled to ask what became of that point outside the universe once the universe was deployed. * And one is entitled to ask why, among the thousands of scientists of that era, no one rose up against this absurdity to have this completely fanciful hypothesis annulled. At first sight, this may seem to reveal a fundamental flaw. But the greater problem is what followed: '''decades of defending the model''', spending public money, introducing additional components to account for discrepancies, invoking new forms of energy, and adding matter, as though the Universe did not already contain enough. This is why this criticism extends beyond the model itself to the way it has been developed, defended, and presented as the dominant account of the Universe, rather than reconsidered from its very first millisecond. I do not need to answer this question. Logic must prevail. Either the old guard recognised the fundamental flaw and knowingly misled the public, or they failed to recognise it, in which case their competence must be called into question. '''The possibility that those responsible misled the public cannot simply be dismissed.''' But the consequences go far beyond the question of personal responsibility. If the foundations of a model are fundamentally flawed, everything built upon them becomes questionable. Decades of research, increasingly elaborate explanations, and billions in public expenditure cannot turn an unsound foundation into a sound one. '''One cannot build a castle on shifting sands and expect the upper floors to stand firm.''' This is why the initial logic matters so much. If it fails, the entire construction must be reconsidered, however impressive it may appear. And if the flaw has been overlooked or ignored from the very beginning, then the failure is not merely a detail of the model. It reaches the very heart of the scientific enterprise. '''This is not how science should function, and that is why, in all supplementary texts and in the main UG.NUG article, ΛCDM will not be regarded at all as a valid cosmological model but rather as a deceit.''' == 2 - the Time == This topic is covered in a separate document == 3 - the Mass Imbroglio == This topic is covered in a separate document == 4 - the CMB == This topic is covered in a separate document == 5 - the Black Holes == This topic is covered in a separate document == 6- Dark Matter == The term appears in the very name of the model: ΛCDM — Lambda Cold Dark Matter. It is the most eminent patch added to the model and is presented as a substance that accounts for about 26% of the universe. It does not emit, absorb, or reflect light. It has never been detected directly, in fifty years of research. But the most telling point is that its distribution must be adjusted for each galaxy. A substance whose quantity and shape change from one object to the next is not a substance, but a variable, introduced to make the equations fit. And the model treats it as if it were a physical entity. The language used — ''dark matter'', ''halo'', ''density profile'' — gives the impression that something has been identified, when nothing has. == 7 - Dark Energy == This is another patch that is said to account for about 69% of the universe, and to drive an accelerated expansion. Its nature has never been identified. Its most natural theoretical value — the energy of the vacuum — is calculated to be 10¹²⁰ times larger than the observed value. This is the largest discrepancy between theory and measurement in the history of physics. But here again, the problem is what the term hides. What is called dark energy is not a substance that has been observed and then named. It is a difference between a measurement and an expectation. Instead of questioning the model, the gap was given a name to make it sound like a discovery. == 8 - Model and Reality == ΛCDM is primarily a mathematical model. As mentioned in one of the comments above, using mathematics in a philosophical cosmology served to make it a way to show superiority and to secure taxpayers' money. But in doing so, it also pushed the model to a point where it does not really correspond to reality. And that led to a mathematical model no longer treated as a description of reality, but as reality itself. When an equation predicts a singularity, a black hole, or an inflaton field, these entities are discussed as if they existed — even though no observation has ever confirmed them. The map has become the territory. But once the course is run, backing becomes impossible. This shift has a direct consequence for the way the unknown is treated. In the perceptual mode, the unknown is a starting point. In the formal mode, the unknown is a failure. It is something to be filled, patched, or denied... The unknown is not called "the unknown", but a parameter, a field, a constant, an energy. Each of these names gives the false impression that it has been identified. == 9 - Ghosts to Geometry == Here again, the model is confronted with its ghosts. The ones it wants to put shoes on in order to make them more "human" and less frightening. Quantum particles are ghosts. And like ghosts, they have no perceptible geometry, or even a perceptible aspect at all. Nobody has ever seen a particle. We know they exist because, in some situations, they interact with our reality for a milli-millisecond. And if, by chance, they hit one of the detectors of a laboratory, then we just understand their passage and can measure only a limited set of parameters. Yet, in quantum field theory, particles are described as excitations of fields and treated as objects — given positions, trajectories, individual identities. This is a leftover from classical mechanics, applied to a regime where it has no meaning and where everything measured  in such geometric terms is purely imaginary. == 10 - Gravity Quantization == Gravity has never been observed at the quantum scale.  This is why, in 1935 Matvei Bronstein thought it should be done. But the lack of observation, somehow, did not suggest to him, as it would have occurred to any logical scientist, that it was not necessary. No, of course. It was much better, once again, to force gravity to be part of quantum just because he decided it. One can wonder why all scientists treated this wish as a revelation. == 11 - Symmetries Versus Reality == The scientific tradition that produced the major conceptual ruptures was not, in its origins, a tradition of calculation. It was a tradition of perception. Its practitioners observed, intuited, and proposed new frameworks — often before they could formalize them, and most of the times without the mathematical tools to do so at all. Their strength was not precision. It was the ability to see what did not fit. === ''Copernicus'' === Nicolaus Copernicus was not a great mathematician. He was a canon, an administrator, and an astronomer by avocation. What he saw was not a new calculation, but an incoherence. The Ptolemaic system had become unmanageable: epicycles upon epicycles, deferents, equants, corrections added to corrections to keep the appearances consistent with a geocentric cosmos. Copernicus proposed to place the Sun at the centre — not because he could prove it, but because it produced a simpler and more coherent reading of the same observations (Copernicus, 1543). His book, ''De revolutionibus orbium coelestium'', was published in 1543, the year of his death. The mathematical apparatus it contained was not new, and not entirely correct. But the shift of perspective it introduced was decisive. It did not calculate a new universe. It read the same universe differently. === ''Kepler'' === Johannes Kepler is often presented as the mathematician who completed Copernicus. But his work began with a perception that was almost mystical: that the planets must follow harmonious paths, that the geometry of the cosmos must reflect a divine order. He spent years trying to fit the planetary orbits into nested Platonic solids — an effort that failed, but that led him, by persistence, to discover the elliptical orbits (Kepler, 1609). His three laws are mathematical. But they were not found by mathematics. They were found by a man who refused to accept circular orbits because circles did not fit what he perceived in the data. === ''Galileo'' === Galileo Galilei is remembered as the first modern scientist — the one who turned the telescope to the sky and observed what no one had seen. He saw the moons of Jupiter, the phases of Venus, the mountains on the Moon (Galilei, 1610). What he did with these observations was not calculation. It was an argument: that the Earth was not the centre of everything, and that the heavens were not perfect. His conflict with the Church is often presented as a conflict between science and religion. It was also a conflict between two modes: the mode that observes and reports, and the mode that holds to the established framework. === ''Newton'' === Isaac Newton is the hinge. He is the one who formalized — who gave the mathematical apparatus that would dominate physics for two centuries. But Newton himself was not only a mathematician. He spent more time on alchemy and theology than on physics. His intuition of a universal gravitation acting at a distance was, in his own time, considered almost occult. He did not derive it from equations. He saw that the same force that makes an apple fall might hold the Moon in its orbit (Newton, 1687) . Newton marks the beginning of the formal mode. But he belongs to both. His Principia is a mathematical monument. His mind was that of a man who perceived before he calculated. === ''Faraday'' === Michael Faraday is the clearest case. He had almost no mathematical training. He was a bookbinder's apprentice who became one of the greatest experimentalists in history. He discovered electromagnetic induction, formulated the concept of the field, and produced the lines of force that would later be formalized by Maxwell. Faraday could not write the equations of his own discoveries. He described them in words and in images. And yet his concepts were so accurate, so well perceived, that Maxwell built on them the mathematical edifice of electromagnetism. Faraday is the proof that the perceptual mode is not a lesser mode. It is a different mode, capable of producing concepts that mathematics then formalizes. And it should be added that the mathematics used in physics is not pure mathematics. It is a language — a way of describing the world with symbols, judged by its capacity to account for observation, not by its internal rigor. When this distinction is forgotten, when the language is taken for the thing itself, the model becomes an edifice of invented entities. This is what happened to cosmology. === ''Einstein'' === Albert Einstein is the last of the tradition. He was a physicist of perception: the thought experiment of riding a beam of light, the falling elevator, the intuition that time and space must bend. He did not have the mathematical tools himself — Marcel Grossmann provided them, and the geometry of Riemann and Minkowski did the rest. Einstein marks the end of a lineage. After him, physics would be dominated by formal production. The great conceptual ruptures would come less often, and they would come from within a framework of equations, not before it. What do these ruptures have in common? Each of these thinkers, in his own way, did the same thing. They saw something that did not fit. They refused to accept the established reading. They proposed a new one — often before they could prove it, often without the tools to formalize it. None of them began with equations. All of them began with perception. This is not a claim that mathematics is useless. It is a claim that the source of conceptual rupture is not mathematical, but perceptual. And it is that mode — the mode of perception, of reading the world before calculating it — that the twentieth century would progressively exclude. Since Galileo, physics has been built on a belief: that the universe is written in the language of mathematics. This belief has been fruitful — it has guided Newton, Maxwell, Einstein. But it has also become a dogma: the idea that a beautiful equation must be true. Over time, this dogma has led physicists to prefer elegance over observation. When an elegant equation fails to match reality, the equation is kept, and reality is patched. * The Higgs mechanism was added to save gauge symmetry. * Inflation was added to save the uniformity of the CMB. * Dark matter and dark energy were added to save the equations of gravity. These are not discoveries, but patches — mechanisms invented to preserve the beauty of mathematics. But an equation has the right to be elegant. The universe has the right not to be. Comparing them is a category error. The universe is not a mathematical object. It is what it is — and it asks only to be read. The transition did not happen everywhere at once. It happened in a specific place, at a specific time, and among a specific group of people. That place was Brussels. That time was October 1927. Those people were the participants of the Fifth Solvay Conference. == 12 - the Horizon Problem == According to the standard model itself, * the universe is 13.8 billion years old and light travels at a finite speed. * The radius of the observable universe is 46 billion light-years. * Therefore, light could not have travelled more than 13.8 billion light-years since the Big Bang. Yet regions on opposite sides of the observable sky are separated by more than 90 billion light-years. They could never have communicated. This is the horizon problem — a problem the standard model itself creates and never explains. == 13 - the Flatness Problem == For the universe to be as flat as it is today, it must have been flat to within one part in 10⁶⁰ in the first instants. This is an extraordinary fine-tuning, with no justification in the model itself. It is treated as a coincidence, and then explained by inflation — which is another patch. == 14 - Homogeneity and Isotropy == The model assumes that the universe was homogeneous and isotropic at the beginning. It does not explain why. It then explains the small deviations from this homogeneity by quantum fluctuations — which are themselves assumed. The chain of assumptions is never examined. == 15 - the Origin of Geometry == In 1915, with general relativity, Einstein proposed that space and time are not separate, but united into a single active entity: spacetime, which curves, expands, and ripples. Gravity is no longer a force, but a deformation of this geometry. This idea works very well to describe planets, stars, and galaxies. But it rests on a postulate: geometry exists from the very beginning. Yet the standard model itself says that the universe began in an extremely hot and dense state, where there were no atoms, no stable nuclei, no structures. Before even nucleosynthesis. So how can there be a geometry of space at a time when the objects filling it have none? The model does not explain it. It treats it as a given. == 16 - the Cosmological Constant == The cosmological constant is a number Einstein added to his equations in 1917. He needed it to keep the universe static — he thought it didn't move. When Hubble showed the universe was expanding, Einstein removed it. But in 1998, astronomers discovered that the expansion was accelerating. So the constant was brought back — this time to explain the acceleration. The problem? The value needed to explain the acceleration is 120 orders of magnitude smaller than what quantum physics predicts. It is the worst prediction in the history of physics. In practice, the constant is adjusted by hand to fit the observations. It is not derived from any theory. It is a patch — a number chosen to make the equations work. == 17 - Cosmic Inflation == In 1979-1980, several physicists — Starobinsky, Guth, Linde, Albrecht, Steinhardt — propose a solution to solve three problems at once: the flatness and the horizon problems, cited above, plus a third, the monopole problem, whose explanation is not essential here. What must be understood is that they wanted to solve three paradoxes of a wobbly model with a very wobbly solution they named inflation. The idea is as simple as it is far-fetched: just after the Big Bang, the universe would have undergone a phase of extraordinarily rapid expansion during which it would have gone from an infinitesimal point which was the singularity to a completely disproportionate size in a fraction of a second. This expansion would have diluted the monopoles, flattened the universe, and homogenized everything that was in contact before the expansion. To produce this expansion, you need the engine of inflation, a hypothetical field, a sort of energy that would have pushed space to expand. Inflation is not a discovery, but an invention which, in trying to solve three problems, created another series: * What is inflation? * Why did this mechanism start? * Why did it stop? This inflation is taught as a fact and presented as a certainty. This is, again, how cosmology still spits on the labor of taxpayers by extorting indecently earned funds for research. == 18 - the Measurement Problem == This quantum problem is abundantly described online. In short, it means elementary particles are not precisely locatable. But instead of criticizing quantum mechanics or the impossibility of locating a particle, it would be smarter to ask what quantum mechanics is. Because in the response, you find exactly why a particle is not locatable. Quantum mechanics is a regime of ghosts. It is a place our eyes do not see. We know it exists because chance led us to encounter it while reflecting on thermodynamics. Then what happened? It is all described in the chapter "The Fear of the Unexplainable," which describes how scientists decided to consider it a property of matter instead of a strange phenomenon. == 19 - Quantum and Relativity == The "two worlds" expression is also very well known and described online but here again the problem is approached wrongly: it does not talk about reality but only about what physicists cannot understand. By physicists, let us be clear: the majority. To say they cannot understand is not an insult. It is a statement about their understanding of what science is. Science should be curiosity, should be no dead angles, no shadowed zones. When a scientist does not dig deep enough into his knowledge he cannot be called a scientist, but merely a technician — especially if he sleeps well. Now, quantum and local relativity — since Einstein's cosmic relativity is false — are part of the same world. If someone sees them as separate, it is because they are influenced by the 1900s trend that considers quantum as a physical object that does not respond or behave like the other real  physical objects of the universe. The truth is, and no doubt about it, that the quantum regime is the universe's system without which it would collapse. And the evidence is under our eyes: it is invisible, incomprehensible, impenetrable, indestructible, inalterable. It means, in other words, that this regime is a no man's land. Now, one could object that a no man's land would not be able to interact with our reality like at CERN when a particle hits a detector. The response is that what interacts with us is not a quantum particle as such, but its energetic expression. A detector is a geometric object, an object of our world. When the particle is trapped and forced to encounter our world, the universe translates it into energy because this is the only language that the geometric world is able to understand, feel, perceive. Without this energy, the universe would not have been able to build the world we know, the planets, the stars, and then the flora and fauna. Since we, humans, are part of this fauna, we too are animated by this energy. All is totally normal and thinking anything else is undoubtedly false. == 20 - Curvature of Spacetime == We are told gravity is the curvature of spacetime. Imagine a rubber sheet. You put a heavy ball on it, the sheet bends. That bending is gravity. But the rubber sheet exists. You can touch it. Spacetime is not a material object. It is only a formula, numbers on a blackboard. Whether one speaks of local or cosmic spacetime makes no difference. Nothing can bend mathematics. This contradiction is never discussed. = on Mathematics = Mathematics is an extraordinarily powerful tool, but it is also a product of the human brain: a system developed to describe, organise, and calculate relationships that we perceive or conceive. It has no power to dictate what Man is or how he must behave. The same applies to Man, a product of the Universe, who has no power to dictate what the Universe is or how it must behave. '''The power of mathematics has limits.''' Mathematics can establish what follows from a set of assumptions. It cannot, by itself, establish that those assumptions correctly describe the nature of reality. A mathematically consistent model may be an excellent representation of certain observations without necessarily providing a correct account of what the Universe actually is. The distinction is fundamental, and this is why, in my view, ΛCDM has failed: '''the ability to calculate how something behaves is not the same as understanding what it is.''' In technology, mathematical relationships help us design, construct, and operate devices such as lasers, scanners, and digital audio players. Yet equations alone do not conceive these devices or determine what they should be. Human beings must first identify a problem, develop a concept, and decide what they intend to achieve. Mathematics then helps turn that concept into a working system. The same distinction matters in cosmology. Astronomical predictions are derived from physical models, mathematical relationships, and assumptions about the Universe. When a prediction agrees with observation, this is meaningful evidence that the model captures something real. But it does not automatically establish that every assumption is correct, or that the model's interpretation reveals the true nature of what is observed. A calculation can be correct while the interpretation built around it remains questionable. The danger arises when the success of the mathematical formalism is taken as proof of the physical picture it describes. Difficulties may then be addressed by adding new assumptions or components, while the original conceptual foundations receive insufficient scrutiny. Mathematical sophistication can make a model increasingly elaborate without necessarily bringing us closer to understanding the reality it is intended to represent. The Universe does not depend on our equations to exist. Our equations depend on our attempts to understand the Universe. Whatever mathematical tools we use, the starting point must remain the physical reality we seek to explain, not the formalism through which we have chosen to describe it. '''Mathematics should serve our understanding of the Universe, guided by observation, not decide what the Universe is.''' = the Divorce = Criticizing ΛCDM is not criticizing anyone — it is criticizing a reading of the universe. Despite its venerable name, ΛCDM '''is nothing more than an interpretation'''. And since the universe itself remains silent and sparing in its revelations, it is remarkably easy to be right — or wrong. What distinguishes one reading from another is, consequently, its coherence, its agreement with observation, and its capacity to be tested. Coherence alone is not enough — a perfectly coherent system can be false, and history has shown this more than once. As in a police investigation or a computer program, if coherence is missing, the culprit is never found, the program does not run, and the equations meant to describe the universe fail to match observation. It is not dramatic; it is only theory. The current theory — the BBP as it stands — does not account for the universe in a way that satisfies its own criteria. It accumulates unresolved problems and adds new entities to mask them. This may sound extreme, but once you add: ''and yet the world still works'', the statement becomes far less shocking. This is made possible by the existence of two distinct physics. This is what I discovered through my research. Yes, it is surprising. No, it is never mentioned. These two physics are: * A '''theoretical physics''', currently the Big Bang paradigm (BBP), which accumulates conceptual flaws. * An '''applied physics''', through which we build lasers, MP3s, smartphones, antennas, MRIs, and satellites — and in this case, everything works perfectly. Without this distinction, it is impossible to understand how the world can function despite a conceptual physics largely disconnected from reality — where many proposed theories have failed to deliver what they promised: * string theory (no experimental evidence, unverifiable extra dimensions), * M-theory (no testable predictions), * supergravity (never observed), * supersymmetry (no superpartners detected at the LHC), * GUTs (no proton decay), * canonical quantum gravity (non-renormalizable), * loop quantum gravity (no testable predictions). Some of these are genuinely ruled out by experiment: * local hidden variables (ruled out by Bell tests), * steady-state cosmology (contradicted by the CMB), * naïve dark-matter-free cosmologies (invalidated), * naïve emergent gravity (incomplete and non-predictive). Applied physics therefore relies primarily on operational equations of its own making — the ones capable of building machines. But it must be said clearly: applied physics is not a separate physics. It uses quantum mechanics, electromagnetism, and relativity — the same theories that foundational research develops. A transistor is quantum mechanics. A GPS is general relativity. The point is not that the theories differ. It is that cosmological constructs such as dark matter, dark energy, inflation, and the cosmological constant play no role in the design of any instrument. Not one component, not one calculation, not one correction. Physicists concerned with practical reality rarely interact with conceptual physicists who, judging by the distance separating the two communities, no longer seem to read the universe as it truly is. Applied physics coexists with these conceptual models without actually relying on them. Those models remain largely confined to academic settings, and their influence seldom extends beyond the walls of universities. Gradually, this became impossible to ignore. The divergence can be traced back almost to Einstein's General Theory of Relativity, when he introduced into his most famous equation — as we shall examine in detail in the chapter on mass — a profoundly ambiguous factor, *m*, thereby freezing into place a fundamental confusion that has led, over the course of a century, to an ongoing conceptual drift. A tiny ambiguity, yet enough to divert an entire branch of physics from its natural course. Yes, this is precisely the kind of information that is rarely shared with the general public and that, without doubt, many physicists themselves have never even suspected. When a rocket must be sent to the Moon, engineers use Newtonian mechanics, orbital dynamics, and relativity. They do not consult cosmology. This separation is real, but it is not a separation between two physics. It is a separation between the physics that builds things and the physics that speculates about origins. Two cultures coexist, they speak the same language, but they no longer read the same universe — and no one seems particularly concerned by it. Well, perhaps taxpayers should be, although most of them are unaware of it. I certainly was. = Anthropocentrism = The universe provides no anchor, no reference. Without GPS, it is impossible to know a position. Thus, we do not know where Earth is located — especially given its minuscule size in the cosmic expanse, comparable to a pinhead on a trillion football fields. All the measurements we know are therefore anthropocentric or purely terrestrial. Their close connection to humanity and its existence is undeniable. If position does not exist in space, then distance does not exist either, nor acceleration, velocity, weight, mass, or time. When we send a rocket to the Moon, it navigates using GPS stations orbiting Earth, which provide a reference up to a certain distance — the range of communication. Beyond that distance, the rocket is lost. In the case of a space probe like Hubble, which travels millions of kilometers away, it is a radio signal sent back to Earth that informs us of its distance. If communication is lost, the probe is also lost. Nothing can occur in space without a terrestrial reference — or, in the future, a reference from another planet if humanity were to inhabit one. = the Quantum Makeup = The lack of scientific rigour is nowhere more visible than in quantum mechanics — this mysterious regime present in every atom of matter, which the Big Bang paradigm (BBP) insists on reducing to mere mathematics out of fear of the unknown. It represents the unique, singular, and indelible signature of the universe. The BBP has constructed mathematical spaces, geometries, and states that no observation has ever confirmed. They work — they predict the right numbers. But they do not describe what exists. Elementary particles are invisible to the naked eye and to the scanning tunneling microscope. No one has ever observed a wave function. This means that any representation of this regime is purely conjectural. These representations are all the more useless because only certain non-geometric parameters allow the use of quantum mechanics in research: * Energy levels via spectrometry, * Transition probabilities in lasers, * Electronic structures via STM, * Conduction bands in solid-state physics, * Bound states in quantum chemistry. i446ngqd43oxe7hhmy5r3udrfg5s3s6 0 332595 2844415 2842576 2026-11-04T05:27:09Z Wb525 3112992 Text list 2844415 wikitext text/x-wiki {{Research project}} ''Original research project by Willy Bohane — UG.NUG.'' == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Current Definition = In encyclopedias, one cannot really say that time is defined, and when it is, it is closer to a sequence of events than to the measurement of time — its chronometry. A year, a day, a minute… This chronometry is only possible relative to precise references. References that are not other than the circadian pace of day and night that impact and rhythm the life of living beings. References that now exist throughout the universe, since the cesium atom is used to measure the second — even though its origin remains a human convention and the second itself expresses a duration, not human chronometric time. So one could live on Mars using the same time we use on the Earth by convention. A watch, based on cesium pace, could tell him when to stop working or watch TV. The only absolute necessity would be to keep contact with Earth in order to check, from time to time if their time systems are correctly synchronized to the circadian time. It is then evident that it is technically realizable as long as a logical limit of communication delay is not reached — delay that could affect the precision of the synchronization. This shows that this little interplanetary arrangement is not a universal solution and that still, cosmic time does not exist. We can add that time remains a human interpretation and chronometry of duration — and that, without Man, time exists nowhere. Not even on Earth. = Succession = What does exist, however, is '''Succession.''' This sequence of events gives the idea of past and future. A glass that breaks cannot reassemble itself. Indeed, once it has broken, we can say: it was intact (past), and now (present/future) it is shattered. This succession gives the impression of time passing, but without chronometry it is not the useful time indicated by our watches; it is simply a '''Succession''' of events. The confusion is easy, but the difference is immense. Our prehistoric ancestors saw that days followed one another, that the dead did not wake up, that water flowed in one direction in streams and rivers. But they had no watches. They did not measure time. They had no appointments at 3:00 p.m. At best, they could agree to meet at sunrise or sunset — nothing more. And it is precisely this reference — '''sunrise or sunset''' — actually '''the circadian periodicity,''' that makes time measurement possible. = the Circadian Periodicity = What we wear on our wrist is the calculation of this periodicity, divided into units of measurement: hours, minutes, seconds. Time zones are interpretations of this periodicity, based on the dance of the Sun and Earth for each latitude. People wake with the day in America, and in France as well — at the same local time, '''but not at the same moment'''. Universal time therefore does not exist. On the contrary, it exists only for this pin‑head called Earth, hidden among trillions of football fields. Worse still, it exists only for the humans who live on it. Animals do not care. Time zones are the best evidence of the circadian periodicity as they measure the sleep and awake time of humans all around the world. = the Misundertanding = Chronometric time is a key value for many physical parameters and equations. It is the basis of acceleration and velocity, which in turn allow us to calculate force, thrust, and so on. Even Einstein misunderstood this, naming his concept ''spacetime'', whereas its true name should have been closer to ''local-space‑time'' since time exists only for humans, locally, and not in the universe.   ΛCDM itself, when it calculates the age of the universe as 13.7 billion years, speaks of years that did not exist before the appearance of the Earth and the Sun. It obviously gives an idea of duration in a human's mind but says nothing about the real age of the universe. = The Light Years = Since distances are expressed in kilometres travelled by light in a year, we assume that cosmic distances are a question and a function of time. This is why this passage is of immense importance for the understanding of cosmology — or rather, for its misunderstanding, because this mistake calls the whole of it into question. The light-year is a human mind unit. The same is true of the speed of light. It is usually presented as a universal constant — 299,792,458 metres per second. But the metre and the second are human units. The second is defined by the circadian periodicity of life on Earth. The metre is defined by the distance light travels in 1/299,792,458 of a second. Each unit refers back to the other, and both refer back to the Earth and its humans. The speed of light is therefore not a constant of the universe, but a human convention — a circular one. '''Nothing is measurable in the universe without a human or any other entity's reference.''' k1k6beraxec00qvl874v3rfrm648kaf 2844426 2844415 2026-11-04T05:45:40Z Wb525 3112992 2844426 wikitext text/x-wiki {{Research project}} ''Original research project by Willy Bohane — UG.NUG.'' == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Current Definition = In encyclopedias, one cannot really say that time is defined, and when it is, it is closer to a sequence of events than to the measurement of time — its chronometry. A year, a day, a minute… This chronometry is only possible relative to precise references. References that are not other than the circadian pace of day and night that impact and rhythm the life of living beings. References that now exist throughout the universe, since the cesium atom is used to measure the second — even though its origin remains a human convention and the second itself expresses a duration, not human chronometric time. So one could live on Mars using the same time we use on the Earth by convention. A watch, based on cesium pace, could tell him when to stop working or watch TV. The only absolute necessity would be to keep contact with Earth in order to check, from time to time if their time systems are correctly synchronized to the circadian time. It is then evident that it is technically realizable as long as a logical limit of communication delay is not reached — delay that could affect the precision of the synchronization. This shows that this little interplanetary arrangement is not a universal solution and that still, cosmic time does not exist. We can add that time remains a human interpretation and chronometry of duration — and that, without Man, time exists nowhere. Not even on Earth. = Succession = What does exist, however, is '''Succession.''' This sequence of events gives the idea of past and future. A glass that breaks cannot reassemble itself. Indeed, once it has broken, we can say: it was intact (past), and now (present/future) it is shattered. This succession gives the impression of time passing, but without chronometry it is not the useful time indicated by our watches; it is simply a '''Succession''' of events. The confusion is easy, but the difference is immense. Our prehistoric ancestors saw that days followed one another, that the dead did not wake up, that water flowed in one direction in streams and rivers. But they had no watches. They did not measure time. They had no appointments at 3:00 p.m. At best, they could agree to meet at sunrise or sunset — nothing more. And it is precisely this reference — '''sunrise or sunset''' — actually '''the circadian periodicity,''' that makes time measurement possible. = the Circadian Periodicity = What we wear on our wrist is the calculation of this periodicity, divided into units of measurement: hours, minutes, seconds. Time zones are interpretations of this periodicity, based on the dance of the Sun and Earth for each latitude. People wake with the day in America, and in France as well — at the same local time, '''but not at the same moment'''. Universal time therefore does not exist. On the contrary, it exists only for this pin‑head called Earth, hidden among trillions of football fields. Worse still, it exists only for the humans who live on it. Animals do not care. Time zones are the best evidence of the circadian periodicity as they measure the sleep and awake time of humans all around the world. = the Misundertanding = Chronometric time is a key value for many physical parameters and equations. It is the basis of acceleration and velocity, which in turn allow us to calculate force, thrust, and so on. Even Einstein misunderstood this, naming his concept ''spacetime'', whereas its true name should have been closer to ''local-space‑time'' since time exists only for humans, locally, and not in the universe.   ΛCDM itself, when it calculates the age of the universe as 13.7 billion years, speaks of years that did not exist before the appearance of the Earth and the Sun. It obviously gives an idea of duration in a human's mind but says nothing about the real age of the universe. = The Light Years = Since distances are expressed in kilometres travelled by light in a year, we assume that cosmic distances are a question and a function of time. This is why this passage is of immense importance for the understanding of cosmology — or rather, for its misunderstanding, because this mistake calls the whole of it into question. The light-year is a human mind unit. The same is true of the speed of light. It is usually presented as a universal constant — 299,792,458 metres per second. But the metre and the second are human units. The second is defined by the circadian periodicity of life on Earth. The metre is defined by the distance light travels in 1/299,792,458 of a second. Each unit refers back to the other, and both refer back to the Earth and its humans. The speed of light is therefore not a constant of the universe, but a human convention — a circular one. '''Nothing is measurable in the universe without a human or any other entity's reference.''' klfqfvn64ayg6r6aze18jemq69eerkh 0 332596 2844343 2841906 2026-11-03T22:48:27Z Frafugaro 3113073 2844343 wikitext text/x-wiki == Introduction and Basic Physical Principles == Image formation in Magnetic Resonance Imaging (MRI) is based on the interaction between the magnetic moments of hydrogen atomic nuclei (¹H) present in biological tissues and a main static magnetic field (B₀). Under thermal equilibrium conditions, the nuclear magnetization vectors align parallel or antiparallel to the B₀ field, generating a macroscopic longitudinal magnetization vector (M_z). The application of a radiofrequency (RF) pulse at the Larmor resonance frequency (&omega;₀ = &gamma; B₀) nutates the M_z vector into the transverse plane (M_xy). Following the cessation of the RF pulse, the system returns to its equilibrium state through two distinct physical relaxation processes: - '''Longitudinal Relaxation (T1):''' also known as spin-lattice relaxation, describes the recovery of magnetization along the z-axis. - '''Transverse Relaxation (T2):''' also known as spin-spin relaxation, describes the decay of magnetization in the transverse plane due to the dephasing of magnetic moment components. - '''Effective Transverse Relaxation (T2*):''' includes both intrinsic spin-spin interactions and macroscopic magnetic susceptibility inhomogeneities of the B₀ field. == Acquisition Parameters and Contrast Control == The operator and the Magnetic Resonance Technologist (Radiographer / TSRM) adjust specific sequence parameters to modulate contrast between tissues with different relaxation times and proton density (PD): === Repetition Time (TR) === Repetition Time represents the time interval between two consecutive RF excitation pulses applied to the same slice. - A '''short TR''' (< 800 ms in Spin Echo) does not allow complete longitudinal magnetization recovery of tissues with long T1 (e.g., CSF), highlighting T1 differences between tissues (T1-weighting). - A '''long TR''' (> 2000 ms) allows nearly complete longitudinal magnetization recovery for all tissues, eliminating the T1 effect (required for T2 and Proton Density weighting). === Echo Time (TE) === Echo Time defines the interval between the RF excitation pulse and the measurement of the signal induced in the receiver coil. - A '''short TE''' (< 20 ms) minimizes transverse magnetization decay, reducing the T2 effect. - A '''long TE''' (> 80 ms) allows marked spin dephasing, clearly differentiating tissues with short T2 from those with long T2 (T2-weighting). === Flip Angle (&alpha;) === In Gradient Echo (GRE) sequences, the use of flip angles below 90° maintains a fraction of residual longitudinal magnetization, allowing the use of very short TRs without incurring complete signal saturation (Ernst Angle). === Matrix, Slice Thickness, and Voxel === Spatial resolution and signal quality depend on the voxel volume (V), defined by: <math>V = \frac{\text{FOV}_x}{N_x} \times \frac{\text{FOV}_y}{N_y} \times \text{Slice Thickness}</math> where FOV represents the field of view, while N_x and N_y indicate the number of points and matrix steps along the frequency and phase encoding axes, respectively. == Quantitative Image Quality Evaluation == === Signal-to-Noise Ratio (SNR) === The Signal-to-Noise Ratio is the fundamental parameter quantifying image fidelity. Signal S increases proportionally with voxel volume and the square root of total acquisition time: <math>\text{SNR} \propto V \cdot \sqrt{\frac{N_y \cdot N_{\text{avg}}}{\text{BW}_{\text{px}}}}</math> where N_avg represents the number of averages (NEX/NSA) and BW_px indicates receiver bandwidth per pixel. === Contrast-to-Noise Ratio (CNR) === The Contrast-to-Noise Ratio describes the image's ability to distinguish two adjacent structures (A and B): <math>\text{CNR} = \frac{|S_A - S_B|}{\sigma_{\text{noise}}}</math> where S_A and S_B represent the signal intensities of the two tissues and &sigma;_noise the standard deviation of background noise. == Virtual Laboratory and Interactive Exercises == To operationally understand the complex, non-linear interaction between physical, geometric, and sampling parameters in Magnetic Resonance Imaging, simulated analysis via analytical models of Bloch equations is used. === Simulation Tools === - '''[https://simrmportal.vercel.app/ SIMRM Portal]''' <ref>Fugaro, F. (2026). ''SIMRM: MRI Sequence and Parameter Simulator''. [https://simrmportal.vercel.app/ https://simrmportal.vercel.app/]</ref><ref>Fugaro, F. (2026). ''SIMRM: 2D and 3D Magnetic Resonance Imaging Sequence Simulator for Interactive Education and Learning'' (Version 1.0). Zenodo. https://doi.org/10.5281/zenodo.23599806</ref>: an interactive web-based simulator designed as an educational tool for exploring and optimizing sequence parameters. Access to the platform is completely free for both students and healthcare professionals upon registration. ==== Scope of Application and Features ==== The simulator allows numerical modeling of technical variations (TR, TE, TI, Flip Angle, matrix, FOV, slice thickness, averages, and bandwidth) on 2D and 3D sequences. Key educational features include: - '''Real-Time Contrast Simulation:''' Immediate visual rendering of weighting variations (T1, T2, PD) on synthetic anatomical maps as parameters are adjusted. - '''Quantitative Indicator Estimation:''' Instant analytical calculation of Signal-to-Noise Ratio (estimated SNR), Acquisition Time (TA), spatial resolution, echo spacing, and energy deposition (SAR). - '''Technological Constraint Modeling:''' Evaluation of bandwidth per pixel, ETL, and acceleration factors on sampling and voxel geometry. ==== Operational Limitations and Disclaimer ==== The simulator is strictly intended for educational, study, and theoretical research purposes. The software works on ideal analytical models and does not replicate real hardware, field imperfections, or complex scanner artifacts. Output data (including SAR, estimated SNR, and TA) are algorithmic simulations and must not be used for clinical planning or diagnostic purposes on real patients. == Educational Notes and Guided Exercises == 1. '''T1 vs T2 Analysis:''' Set a Spin Echo sequence with TR = 500 ms and TE = 10 ms to evaluate hyperintensity of adipose tissue relative to water. Next, increase TE to 100 ms and TR to 3000 ms to observe contrast inversion of cerebrospinal fluid (CSF). 2. '''SNR Optimization:''' Analyze the effect of halving bandwidth per pixel (BW_px) on noise level and the onset of chemical shift artifacts. == Notes == <references /> [[Category:Medicine]] [[Category:Medical physics]] [[Category:Magnetic resonance imaging]] ga3mfcsk8qmsd0nm9kh8i4af6qpx09q 0 332602 2844192 2842928 2026-11-03T12:11:37Z Wb525 3112992 Text edition 2844192 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For an object to be a fossil, the fossil definition must exist. It is not the case for a cosmological fossil. <ref>University of California Museum of Paleontology, "What is a fossil?", Fossils Home Page, https://ucmp.berkeley.edu/paleo/fossils/ </ref> Let us be magnanimous and suppose this noun has been inherited from paleontology as it stands. In this case it is <blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>But in no way, an object that still emits anything. It is a dead thing. A long dead thing. '''''This definition alone proves that the CMB is not a fossil'''''. = of the Blackbody = The blackbody is observed as being a perfect one. But to claim that this temperature is a cooled remnant is an assumption. And a quite weird one. A perfect blackbody can more likely be an original property of the universe. This temperature of 2.7 K is indispensable to the existence of a structured universe. If space were filled with hot photons, the universe would be a burning plasma, without atoms, without galaxies, without life. The CMB is therefore preferably a property rather than a coincidence: a condition for a ready‑to‑use universe to be able to make geometry appear. Furthermore, such homogeneity in temperature cannot, statistically, be the result of long‑term cooling over such vast distances. The alea of the journey would never have allowed such a feat. Conversely, it is a property the universe masters perfectly, as it is precisely what characterizes the gendered uniformity of quantum objects. More fundamentally, an expanding space cannot maintain thermal equilibrium. The stretching of wavelengths breaks the Planck distribution. A perfect blackbody is the signature of an isolated system at equilibrium — not of a photon that has traveled through an expanding universe. This alone proves that the CMB is not a fossil, but the permanent matrix of the universe. = of the Dated? Noise = It is really preferable not to know how the date has been fixed — especially since Universal Time does not exist. And if this logic is admitted, it is clear that nobody can imagine the CMB is a no‑date fossil. Furthermore, fixing this date at 380,000 years after the [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|singularity]] is an unpredicted exploit, far more impressive than the COBE mission results themselves. For such a statement, the date would have to be engraved on each photon at the very least. The word "years" is misleading. Its historical origin is tied to the circadian and terrestrial cycle, a cycle that did not exist at that epoch. To project our current clock — defined by 9,192,631,770 vibrations of a cesium atom — onto an epoch where the cesium atom itself did not exist is an extrapolation, not a direct measurement. The tough truth is that the universe's durations are not definable. = of the S''eeds of the'' ''Universe'' = What is called "seeds" cannot exist as a visible image. Before geometry, there is only a ghostly regime, that is to say, an invisible and ungraspable regime that we know today as quantum and that remains ghostly even though we have learned to manipulate some energetic manifestations of elementary particles. These particles have always remained elusive, invisible and unmaterialized. <blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before showing a photograph of seeds and calling the amplified spots ''seeds of galaxies'', one must first prove what a seed is in the invisible regime. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. The real cleaned map (SMICA) is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today we observe only two kinds of photons in the universe: # Very hot, always found around stars. Proof of a continuous local production. # Very cold at 2.7K, diffuse everywhere. This is the CMB. If the cold came, according to [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]], from hot distant photons cooling during their journey, * we should find the whole continuum in between: a uniform diffuse background of lukewarm photons at 50K, 1000K wandering among the cold. We find nothing of the kind. * Furthermore, the hot photons found around stars would have also cooled during the journey. It is not the case. <ref>Penzias, A. A., & Wilson, R. W. (1965). "A Measurement of Excess Antenna Temperature at 4080 Mc/s". The Astrophysical Journal, 142, 419-421. https://ui.adsabs.harvard.edu/abs/1965ApJ...142..419P</ref> = Prediction = If a reanalysis of the Planck data, performed without any expansion model (neither [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]] nor a pre‑integrated cosmological background), reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental state is invalidated. = Conclusion = '''The CMB is not a fossil.''' The CMB is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding universe: the proof that the universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day in -13,800,000,000 AD." And the consequence is that we have a universe genesis in 3 points: # The CMB, called [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] in this work, is not a fossil but the unfolded universe in its quantum primordial form. # When the quantum elements are ready, the emergence of their geometry is triggered. # This geometry exerts pressure on the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] — [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. '''That is enough to make all known paradoxes vanish as well as the new JWST revealed anomalies.''' == References == {{reflist}} 34mal5he0zwj9y0chkw5j6uxeylzk3f 2844194 2844192 2026-11-03T12:14:29Z Wb525 3112992 Text edition 2844194 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For something to be identified as a fossil, there must be grounds for establishing that it is a preserved trace of something that existed in the past. In cosmology, however, the term fossil radiation is applied to radiation that is still observed today. Let us be magnanimous and suppose that the term has simply been inherited from paleontology. A conventional definition of a fossil refers to:<blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>A fossil, in this sense, is evidence of something that existed in the past. It is not the original organism continuing to live. The cosmological use of the term is different. The CMB is radiation detected today, and calling it ''fossil radiation'' implies that its present existence is the result of an event in the distant past. But the name does not establish the origin. That origin must be demonstrated independently. Let us therefore ask a few questions: * Why does the ΛCDM model require such a complex historical account, and why should the principle of parsimony not be given greater consideration? * On what grounds should we accept the proposed journey of this radiation across the Universe as the only possible interpretation of what we observe? * On what basis is the radiation assigned an origin approximately 380,000 years after the Big Bang, if the cosmic chronology used to establish that date depends on assumptions that remain open to question? * Why must we necessarily imagine that this radiation was emitted in the distant past and has travelled through the Universe ever since? The CMB is observed. Its designation as fossil radiation is an interpretation of its origin. The distinction matters. '''We should not confuse the name given to an observation with proof of the explanation attached to it'''. = of the Blackbody = The blackbody is observed as being a perfect one. But to claim that this temperature is a cooled remnant is an assumption. And a quite weird one. A perfect blackbody can more likely be an original property of the universe. This temperature of 2.7 K is indispensable to the existence of a structured universe. If space were filled with hot photons, the universe would be a burning plasma, without atoms, without galaxies, without life. The CMB is therefore preferably a property rather than a coincidence: a condition for a ready‑to‑use universe to be able to make geometry appear. Furthermore, such homogeneity in temperature cannot, statistically, be the result of long‑term cooling over such vast distances. The alea of the journey would never have allowed such a feat. Conversely, it is a property the universe masters perfectly, as it is precisely what characterizes the gendered uniformity of quantum objects. More fundamentally, an expanding space cannot maintain thermal equilibrium. The stretching of wavelengths breaks the Planck distribution. A perfect blackbody is the signature of an isolated system at equilibrium — not of a photon that has traveled through an expanding universe. This alone proves that the CMB is not a fossil, but the permanent matrix of the universe. = of the Dated? Noise = It is really preferable not to know how the date has been fixed — especially since Universal Time does not exist. And if this logic is admitted, it is clear that nobody can imagine the CMB is a no‑date fossil. Furthermore, fixing this date at 380,000 years after the [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|singularity]] is an unpredicted exploit, far more impressive than the COBE mission results themselves. For such a statement, the date would have to be engraved on each photon at the very least. The word "years" is misleading. Its historical origin is tied to the circadian and terrestrial cycle, a cycle that did not exist at that epoch. To project our current clock — defined by 9,192,631,770 vibrations of a cesium atom — onto an epoch where the cesium atom itself did not exist is an extrapolation, not a direct measurement. The tough truth is that the universe's durations are not definable. = of the S''eeds of the'' ''Universe'' = What is called "seeds" cannot exist as a visible image. Before geometry, there is only a ghostly regime, that is to say, an invisible and ungraspable regime that we know today as quantum and that remains ghostly even though we have learned to manipulate some energetic manifestations of elementary particles. These particles have always remained elusive, invisible and unmaterialized. <blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before showing a photograph of seeds and calling the amplified spots ''seeds of galaxies'', one must first prove what a seed is in the invisible regime. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. The real cleaned map (SMICA) is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today we observe only two kinds of photons in the universe: # Very hot, always found around stars. Proof of a continuous local production. # Very cold at 2.7K, diffuse everywhere. This is the CMB. If the cold came, according to [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]], from hot distant photons cooling during their journey, * we should find the whole continuum in between: a uniform diffuse background of lukewarm photons at 50K, 1000K wandering among the cold. We find nothing of the kind. * Furthermore, the hot photons found around stars would have also cooled during the journey. It is not the case. <ref>Penzias, A. A., & Wilson, R. W. (1965). "A Measurement of Excess Antenna Temperature at 4080 Mc/s". The Astrophysical Journal, 142, 419-421. https://ui.adsabs.harvard.edu/abs/1965ApJ...142..419P</ref> = Prediction = If a reanalysis of the Planck data, performed without any expansion model (neither [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]] nor a pre‑integrated cosmological background), reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental state is invalidated. = Conclusion = '''The CMB is not a fossil.''' The CMB is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding universe: the proof that the universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day in -13,800,000,000 AD." And the consequence is that we have a universe genesis in 3 points: # The CMB, called [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] in this work, is not a fossil but the unfolded universe in its quantum primordial form. # When the quantum elements are ready, the emergence of their geometry is triggered. # This geometry exerts pressure on the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] — [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. '''That is enough to make all known paradoxes vanish as well as the new JWST revealed anomalies.''' == References == {{reflist}} fqeb277waznlzxohc85m4d1dqvot9s4 2844195 2844194 2026-11-03T12:15:29Z Wb525 3112992 Text edition 2844195 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For something to be identified as a fossil, there must be grounds for establishing that it is a preserved trace of something that existed in the past. In cosmology, however, the term fossil radiation is applied to radiation that is still observed today. Let us be magnanimous and suppose that the term has simply been inherited from paleontology. A conventional definition of a fossil refers to:<blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>A fossil, in this sense, is evidence of something that existed in the past. It is not the original organism continuing to live. The cosmological use of the term is different. The CMB is radiation detected today, and calling it ''fossil radiation'' implies that its present existence is the result of an event in the distant past. But the name does not establish the origin. That origin must be demonstrated independently. Let us therefore ask a few questions: * Why does the ΛCDM model require such a complex historical account, and why should the principle of parsimony not be given greater consideration? * On what grounds should we accept the proposed journey of this radiation across the Universe as the only possible interpretation of what we observe? * On what basis is the radiation assigned an origin approximately 380,000 years after the Big Bang, if the cosmic chronology used to establish that date depends on assumptions that remain open to question? * Why must we necessarily imagine that this radiation was emitted in the distant past and has travelled through the Universe ever since? The CMB is observed. Its designation as fossil radiation is an interpretation of its origin. The distinction matters. '''We should not confuse the name given to an observation with proof of the explanation attached to it'''. = of the Blackbody = The CMB is observed to have an almost perfect blackbody spectrum. But to claim that its temperature is the result of a cooled remnant is an interpretation, not an observation in itself. And it raises some rather peculiar questions. A perfect blackbody spectrum could instead be an original property of the Universe. The temperature of approximately 2.7 K may be an intrinsic condition of the structured Universe: a thermal background that allows geometry to emerge and complex structures to exist. If space were filled with an intense, uniformly distributed background of hot photons, the conditions required for stable atoms, galaxies, and ultimately life would be radically different. The CMB may therefore be better understood as a property of the Universe than as a coincidence resulting from an extraordinarily long cooling process: a condition of a Universe already ready to host structure. Furthermore, the remarkable homogeneity of this temperature deserves consideration. The standard interpretation attributes it to an early state of thermal equilibrium, followed by the subsequent evolution of the radiation. But why should this particular thermal state be regarded solely as a remnant of the past? Could it not be a permanent property of the Universe itself? This possibility is particularly relevant to the UG.NUG distinction. Such uniformity is consistent with the categorical uniformity that characterizes quantum objects: objects without individual geometric identity, belonging to the primordial regime described here. The standard model explains the blackbody spectrum through an initially equilibrated radiation field whose spectrum retains its Planck form as the Universe expands and the radiation is redshifted. But this explanation remains part of the cosmological interpretation being examined. It does not, by itself, establish that the observed temperature is necessarily the remnant of an earlier cosmic state. The alternative proposed here is that the CMB is not a cooled relic, but the permanent thermal manifestation of the GRID: an intrinsic property of the Universe, rather than the leftover radiation of a distant event. This is the possibility that deserves to be considered. = of the Dated? Noise = It is really preferable not to know how the date has been fixed — especially since Universal Time does not exist. And if this logic is admitted, it is clear that nobody can imagine the CMB is a no‑date fossil. Furthermore, fixing this date at 380,000 years after the [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|singularity]] is an unpredicted exploit, far more impressive than the COBE mission results themselves. For such a statement, the date would have to be engraved on each photon at the very least. The word "years" is misleading. Its historical origin is tied to the circadian and terrestrial cycle, a cycle that did not exist at that epoch. To project our current clock — defined by 9,192,631,770 vibrations of a cesium atom — onto an epoch where the cesium atom itself did not exist is an extrapolation, not a direct measurement. The tough truth is that the universe's durations are not definable. = of the S''eeds of the'' ''Universe'' = What is called "seeds" cannot exist as a visible image. Before geometry, there is only a ghostly regime, that is to say, an invisible and ungraspable regime that we know today as quantum and that remains ghostly even though we have learned to manipulate some energetic manifestations of elementary particles. These particles have always remained elusive, invisible and unmaterialized. <blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before showing a photograph of seeds and calling the amplified spots ''seeds of galaxies'', one must first prove what a seed is in the invisible regime. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. The real cleaned map (SMICA) is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today we observe only two kinds of photons in the universe: # Very hot, always found around stars. Proof of a continuous local production. # Very cold at 2.7K, diffuse everywhere. This is the CMB. If the cold came, according to [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]], from hot distant photons cooling during their journey, * we should find the whole continuum in between: a uniform diffuse background of lukewarm photons at 50K, 1000K wandering among the cold. We find nothing of the kind. * Furthermore, the hot photons found around stars would have also cooled during the journey. It is not the case. <ref>Penzias, A. A., & Wilson, R. W. (1965). "A Measurement of Excess Antenna Temperature at 4080 Mc/s". The Astrophysical Journal, 142, 419-421. https://ui.adsabs.harvard.edu/abs/1965ApJ...142..419P</ref> = Prediction = If a reanalysis of the Planck data, performed without any expansion model (neither [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]] nor a pre‑integrated cosmological background), reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental state is invalidated. = Conclusion = '''The CMB is not a fossil.''' The CMB is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding universe: the proof that the universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day in -13,800,000,000 AD." And the consequence is that we have a universe genesis in 3 points: # The CMB, called [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] in this work, is not a fossil but the unfolded universe in its quantum primordial form. # When the quantum elements are ready, the emergence of their geometry is triggered. # This geometry exerts pressure on the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] — [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. '''That is enough to make all known paradoxes vanish as well as the new JWST revealed anomalies.''' == References == {{reflist}} 7n71nto3f0ykz0vzotxyp91ggxo53r8 2844196 2844195 2026-11-03T12:17:02Z Wb525 3112992 Text edition 2844196 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For something to be identified as a fossil, there must be grounds for establishing that it is a preserved trace of something that existed in the past. In cosmology, however, the term fossil radiation is applied to radiation that is still observed today. Let us be magnanimous and suppose that the term has simply been inherited from paleontology. A conventional definition of a fossil refers to:<blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>A fossil, in this sense, is evidence of something that existed in the past. It is not the original organism continuing to live. The cosmological use of the term is different. The CMB is radiation detected today, and calling it ''fossil radiation'' implies that its present existence is the result of an event in the distant past. But the name does not establish the origin. That origin must be demonstrated independently. Let us therefore ask a few questions: * Why does the ΛCDM model require such a complex historical account, and why should the principle of parsimony not be given greater consideration? * On what grounds should we accept the proposed journey of this radiation across the Universe as the only possible interpretation of what we observe? * On what basis is the radiation assigned an origin approximately 380,000 years after the Big Bang, if the cosmic chronology used to establish that date depends on assumptions that remain open to question? * Why must we necessarily imagine that this radiation was emitted in the distant past and has travelled through the Universe ever since? The CMB is observed. Its designation as fossil radiation is an interpretation of its origin. The distinction matters. '''We should not confuse the name given to an observation with proof of the explanation attached to it'''. = of the Blackbody = The CMB is observed to have an almost perfect blackbody spectrum. But to claim that its temperature is the result of a cooled remnant is an interpretation, not an observation in itself. And it raises some rather peculiar questions. A perfect blackbody spectrum could instead be an original property of the Universe. The temperature of approximately 2.7 K may be an intrinsic condition of the structured Universe: a thermal background that allows geometry to emerge and complex structures to exist. If space were filled with an intense, uniformly distributed background of hot photons, the conditions required for stable atoms, galaxies, and ultimately life would be radically different. The CMB may therefore be better understood as a property of the Universe than as a coincidence resulting from an extraordinarily long cooling process: a condition of a Universe already ready to host structure. Furthermore, the remarkable homogeneity of this temperature deserves consideration. The standard interpretation attributes it to an early state of thermal equilibrium, followed by the subsequent evolution of the radiation. But why should this particular thermal state be regarded solely as a remnant of the past? Could it not be a permanent property of the Universe itself? This possibility is particularly relevant to the UG.NUG distinction. Such uniformity is consistent with the categorical uniformity that characterizes quantum objects: objects without individual geometric identity, belonging to the primordial regime described here. The standard model explains the blackbody spectrum through an initially equilibrated radiation field whose spectrum retains its Planck form as the Universe expands and the radiation is redshifted. But this explanation remains part of the cosmological interpretation being examined. It does not, by itself, establish that the observed temperature is necessarily the remnant of an earlier cosmic state. The alternative proposed here is that the CMB is not a cooled relic, but the permanent thermal manifestation of the GRID: an intrinsic property of the Universe, rather than the leftover radiation of a distant event. This is the possibility that deserves to be considered. = Of the Dating = It is preferable to remember that the date assigned to the CMB is not an observation, but a calculation. According to the standard cosmological model, the CMB originates approximately 380,000 years after the Big Bang. But this figure is not measured directly. It is derived from a reconstruction of the Universe's history, based on the assumptions and parameters of that model. In other words, the date is not a property of the observed radiation. It is the result of the interpretation applied to it. This raises a fundamental question: how can a precise date be assigned to an event in the history of the Universe when the very chronology used to establish that date is itself a product of the cosmological model and of our circadian perception of time? For such a statement, one might almost expect the date to be engraved on each photon! The word years is also worth examining. A year is a human unit of duration, historically associated with the Earth's orbital cycle. Today, it can be expressed in seconds, themselves defined through the frequency of a caesium-133 atomic transition. There is nothing inherently wrong with using a present-day unit to describe a past event. But this does not turn a calculated duration into a directly observed one. The fact that our units are precise does not make the chronology to which we apply them independently established. The distinction is important: we can measure time with extraordinary precision without thereby establishing an absolute chronology for the Universe, where chronometric time has no meaning at all. The approximately 380,000-year figure is therefore not something the CMB tells us. It is what the standard cosmological model tells us about the CMB. And that is precisely what needs to be questioned. = of the S''eeds of the'' ''Universe'' = What is called "seeds" cannot exist as a visible image. Before geometry, there is only a ghostly regime, that is to say, an invisible and ungraspable regime that we know today as quantum and that remains ghostly even though we have learned to manipulate some energetic manifestations of elementary particles. These particles have always remained elusive, invisible and unmaterialized. <blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before showing a photograph of seeds and calling the amplified spots ''seeds of galaxies'', one must first prove what a seed is in the invisible regime. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. The real cleaned map (SMICA) is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today we observe only two kinds of photons in the universe: # Very hot, always found around stars. Proof of a continuous local production. # Very cold at 2.7K, diffuse everywhere. This is the CMB. If the cold came, according to [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]], from hot distant photons cooling during their journey, * we should find the whole continuum in between: a uniform diffuse background of lukewarm photons at 50K, 1000K wandering among the cold. We find nothing of the kind. * Furthermore, the hot photons found around stars would have also cooled during the journey. It is not the case. <ref>Penzias, A. A., & Wilson, R. W. (1965). "A Measurement of Excess Antenna Temperature at 4080 Mc/s". The Astrophysical Journal, 142, 419-421. https://ui.adsabs.harvard.edu/abs/1965ApJ...142..419P</ref> = Prediction = If a reanalysis of the Planck data, performed without any expansion model (neither [[User:Wb525/Cosmology: UG.NUG a coherent model/ΛCDM|ΛCDM]] nor a pre‑integrated cosmological background), reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental state is invalidated. = Conclusion = '''The CMB is not a fossil.''' The CMB is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding universe: the proof that the universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day in -13,800,000,000 AD." And the consequence is that we have a universe genesis in 3 points: # The CMB, called [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] in this work, is not a fossil but the unfolded universe in its quantum primordial form. # When the quantum elements are ready, the emergence of their geometry is triggered. # This geometry exerts pressure on the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] — [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. '''That is enough to make all known paradoxes vanish as well as the new JWST revealed anomalies.''' == References == {{reflist}} n2te8lqt46ce0ap8s0w0rc70i6lwhvw 2844198 2844196 2026-11-03T12:29:57Z Wb525 3112992 Text edition 2844198 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For something to be identified as a fossil, there must be grounds for establishing that it is a preserved trace of something that existed in the past. In cosmology, however, the term fossil radiation is applied to radiation that is still observed today. Let us be magnanimous and suppose that the term has simply been inherited from paleontology. A conventional definition of a fossil refers to:<blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>A fossil, in this sense, is evidence of something that existed in the past. It is not the original organism continuing to live. The cosmological use of the term is different. The CMB is radiation detected today, and calling it ''fossil radiation'' implies that its present existence is the result of an event in the distant past. But the name does not establish the origin. That origin must be demonstrated independently. Let us therefore ask a few questions: * Why does the ΛCDM model require such a complex historical account, and why should the principle of parsimony not be given greater consideration? * On what grounds should we accept the proposed journey of this radiation across the Universe as the only possible interpretation of what we observe? * On what basis is the radiation assigned an origin approximately 380,000 years after the Big Bang, if the cosmic chronology used to establish that date depends on assumptions that remain open to question? * Why must we necessarily imagine that this radiation was emitted in the distant past and has travelled through the Universe ever since? The CMB is observed. Its designation as fossil radiation is an interpretation of its origin. The distinction matters. '''We should not confuse the name given to an observation with proof of the explanation attached to it'''. = of the Blackbody = The CMB is observed to have an almost perfect blackbody spectrum. But to claim that its temperature is the result of a cooled remnant is an interpretation, not an observation in itself. And it raises some rather peculiar questions. A perfect blackbody spectrum could instead be an original property of the Universe. The temperature of approximately 2.7 K may be an intrinsic condition of the structured Universe: a thermal background that allows geometry to emerge and complex structures to exist. If space were filled with an intense, uniformly distributed background of hot photons, the conditions required for stable atoms, galaxies, and ultimately life would be radically different. The CMB may therefore be better understood as a property of the Universe than as a coincidence resulting from an extraordinarily long cooling process: a condition of a Universe already ready to host structure. Furthermore, the remarkable homogeneity of this temperature deserves consideration. The standard interpretation attributes it to an early state of thermal equilibrium, followed by the subsequent evolution of the radiation. But why should this particular thermal state be regarded solely as a remnant of the past? Could it not be a permanent property of the Universe itself? This possibility is particularly relevant to the UG.NUG distinction. Such uniformity is consistent with the categorical uniformity that characterizes quantum objects: objects without individual geometric identity, belonging to the primordial regime described here. The standard model explains the blackbody spectrum through an initially equilibrated radiation field whose spectrum retains its Planck form as the Universe expands and the radiation is redshifted. But this explanation remains part of the cosmological interpretation being examined. It does not, by itself, establish that the observed temperature is necessarily the remnant of an earlier cosmic state. The alternative proposed here is that the CMB is not a cooled relic, but the permanent thermal manifestation of the GRID: an intrinsic property of the Universe, rather than the leftover radiation of a distant event. This is the possibility that deserves to be considered. = Of the Dating = It is preferable to remember that the date assigned to the CMB is not an observation, but a calculation. According to the standard cosmological model, the CMB originates approximately 380,000 years after the Big Bang. But this figure is not measured directly. It is derived from a reconstruction of the Universe's history, based on the assumptions and parameters of that model. In other words, the date is not a property of the observed radiation. It is the result of the interpretation applied to it. This raises a fundamental question: how can a precise date be assigned to an event in the history of the Universe when the very chronology used to establish that date is itself a product of the cosmological model and of our circadian perception of time? For such a statement, one might almost expect the date to be engraved on each photon! The word years is also worth examining. A year is a human unit of duration, historically associated with the Earth's orbital cycle. Today, it can be expressed in seconds, themselves defined through the frequency of a caesium-133 atomic transition. There is nothing inherently wrong with using a present-day unit to describe a past event. But this does not turn a calculated duration into a directly observed one. The fact that our units are precise does not make the chronology to which we apply them independently established. The distinction is important: we can measure time with extraordinary precision without thereby establishing an absolute chronology for the Universe, where chronometric time has no meaning at all. The approximately 380,000-year figure is therefore not something the CMB tells us. It is what the standard cosmological model tells us about the CMB. And that is precisely what needs to be questioned. = of the S''eeds of the'' ''Universe'' = What are referred to as the "seeds of the Universe" cannot be understood as visible objects. Before geometry, there is no geometrically defined object that can be directly observed or photographed. The quantum domain remains elusive: although we have learned to detect and manipulate certain energetic manifestations of elementary particles, these particles do not present themselves as ordinary, visible objects. Their properties are inferred from their interactions and measurable effects.<blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before presenting an image and identifying its amplified spots as the "seeds of galaxies", one must first establish what these seeds physically are in the invisible regime. What is actually shown is a map of measured temperature variations, processed and amplified to make them visible. Calling these variations "seeds" is already an interpretation. It does not, by itself, establish what they represent or prove that they are the physical precursors of galaxies. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. the cleaned SMICA map is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today, we observe several distinct forms of radiation in the Universe. # Very hot radiation, found around stars and other energetic sources. This is evidence of continuous local production. # A very cold, diffuse microwave background, detected throughout the observable sky, with a temperature of approximately 2.7 K. This is the CMB. # Other diffuse radiation backgrounds, including optical and infrared radiation, originating from numerous sources and processes. If the CMB consists, according to ΛCDM, of radiation that was once much hotter and gradually cooled during its journey, several questions arise. * Why does the CMB stand out so distinctly, with such a remarkably precise blackbody spectrum, from the other diffuse radiation backgrounds? Why do we not observe a succession of comparable thermal backgrounds at intermediate temperatures? * Furthermore, if photons lose energy during their journey, photons emitted by stars should also be affected. Their frequencies may change, but how do we establish the extent of that change independently of the cosmological interpretation applied to it? These questions deserve answers based on observations themselves, rather than on the assumption that the proposed explanation is already established. = Prediction = If a reanalysis of the Planck data, performed without assuming any expansion model — neither ΛCDM nor any pre-integrated cosmological background — reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental, structure-free state would have to be reconsidered. Such a result would indicate that the observed temperature variations contain an organised pattern that cannot simply be attributed to the assumed cosmological background. Its physical origin would then need to be established independently. = Conclusion = The CMB seems not to be a fossil. It is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding Universe: evidence that the Universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day, 13,800,000,000 AD — apparently, the Universe had heard that JC was coming!” This solution is far more parsimonious than the rocambolesque story invented by ΛCDM. And, it might be added that this story is not necessarily free from personal interests. Indeed, if the CMB were no longer accepted as a fossil, ΛCDM would face a fundamental crisis, potentially dragging a few careers down with it. jeixxgqvj2wt9k8rwbnex7stmo2dyo0 2844417 2844198 2026-11-04T05:30:05Z Wb525 3112992 Text list 2844417 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For something to be identified as a fossil, there must be grounds for establishing that it is a preserved trace of something that existed in the past. In cosmology, however, the term fossil radiation is applied to radiation that is still observed today. Let us be magnanimous and suppose that the term has simply been inherited from paleontology. A conventional definition of a fossil refers to:<blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>A fossil, in this sense, is evidence of something that existed in the past. It is not the original organism continuing to live. The cosmological use of the term is different. The CMB is radiation detected today, and calling it ''fossil radiation'' implies that its present existence is the result of an event in the distant past. But the name does not establish the origin. That origin must be demonstrated independently. Let us therefore ask a few questions: * Why does the ΛCDM model require such a complex historical account, and why should the principle of parsimony not be given greater consideration? * On what grounds should we accept the proposed journey of this radiation across the Universe as the only possible interpretation of what we observe? * On what basis is the radiation assigned an origin approximately 380,000 years after the Big Bang, if the cosmic chronology used to establish that date depends on assumptions that remain open to question? * Why must we necessarily imagine that this radiation was emitted in the distant past and has travelled through the Universe ever since? The CMB is observed. Its designation as fossil radiation is an interpretation of its origin. The distinction matters. '''We should not confuse the name given to an observation with proof of the explanation attached to it'''. = of the Blackbody = The CMB is observed to have an almost perfect blackbody spectrum. But to claim that its temperature is the result of a cooled remnant is an interpretation, not an observation in itself. And it raises some rather peculiar questions. A perfect blackbody spectrum could instead be an original property of the Universe. The temperature of approximately 2.7 K may be an intrinsic condition of the structured Universe: a thermal background that allows geometry to emerge and complex structures to exist. If space were filled with an intense, uniformly distributed background of hot photons, the conditions required for stable atoms, galaxies, and ultimately life would be radically different. The CMB may therefore be better understood as a property of the Universe than as a coincidence resulting from an extraordinarily long cooling process: a condition of a Universe already ready to host structure. Furthermore, the remarkable homogeneity of this temperature deserves consideration. The standard interpretation attributes it to an early state of thermal equilibrium, followed by the subsequent evolution of the radiation. But why should this particular thermal state be regarded solely as a remnant of the past? Could it not be a permanent property of the Universe itself? This possibility is particularly relevant to the UG.NUG distinction. Such uniformity is consistent with the categorical uniformity that characterizes quantum objects: objects without individual geometric identity, belonging to the primordial regime described here. The standard model explains the blackbody spectrum through an initially equilibrated radiation field whose spectrum retains its Planck form as the Universe expands and the radiation is redshifted. But this explanation remains part of the cosmological interpretation being examined. It does not, by itself, establish that the observed temperature is necessarily the remnant of an earlier cosmic state. The alternative proposed here is that the CMB is not a cooled relic, but the permanent thermal manifestation of the GRID: an intrinsic property of the Universe, rather than the leftover radiation of a distant event. This is the possibility that deserves to be considered. = Of the Dating = It is preferable to remember that the date assigned to the CMB is not an observation, but a calculation. According to the standard cosmological model, the CMB originates approximately 380,000 years after the Big Bang. But this figure is not measured directly. It is derived from a reconstruction of the Universe's history, based on the assumptions and parameters of that model. In other words, the date is not a property of the observed radiation. It is the result of the interpretation applied to it. This raises a fundamental question: how can a precise date be assigned to an event in the history of the Universe when the very chronology used to establish that date is itself a product of the cosmological model and of our circadian perception of time? For such a statement, one might almost expect the date to be engraved on each photon! The word years is also worth examining. A year is a human unit of duration, historically associated with the Earth's orbital cycle. Today, it can be expressed in seconds, themselves defined through the frequency of a caesium-133 atomic transition. There is nothing inherently wrong with using a present-day unit to describe a past event. But this does not turn a calculated duration into a directly observed one. The fact that our units are precise does not make the chronology to which we apply them independently established. The distinction is important: we can measure time with extraordinary precision without thereby establishing an absolute chronology for the Universe, where chronometric time has no meaning at all. The approximately 380,000-year figure is therefore not something the CMB tells us. It is what the standard cosmological model tells us about the CMB. And that is precisely what needs to be questioned. = of the S''eeds of the'' ''Universe'' = What are referred to as the "seeds of the Universe" cannot be understood as visible objects. Before geometry, there is no geometrically defined object that can be directly observed or photographed. The quantum domain remains elusive: although we have learned to detect and manipulate certain energetic manifestations of elementary particles, these particles do not present themselves as ordinary, visible objects. Their properties are inferred from their interactions and measurable effects.<blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before presenting an image and identifying its amplified spots as the "seeds of galaxies", one must first establish what these seeds physically are in the invisible regime. What is actually shown is a map of measured temperature variations, processed and amplified to make them visible. Calling these variations "seeds" is already an interpretation. It does not, by itself, establish what they represent or prove that they are the physical precursors of galaxies. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. the cleaned SMICA map is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today, we observe several distinct forms of radiation in the Universe. # Very hot radiation, found around stars and other energetic sources. This is evidence of continuous local production. # A very cold, diffuse microwave background, detected throughout the observable sky, with a temperature of approximately 2.7 K. This is the CMB. # Other diffuse radiation backgrounds, including optical and infrared radiation, originating from numerous sources and processes. If the CMB consists, according to ΛCDM, of radiation that was once much hotter and gradually cooled during its journey, several questions arise. * Why does the CMB stand out so distinctly, with such a remarkably precise blackbody spectrum, from the other diffuse radiation backgrounds? Why do we not observe a succession of comparable thermal backgrounds at intermediate temperatures? * Furthermore, if photons lose energy during their journey, photons emitted by stars should also be affected. Their frequencies may change, but how do we establish the extent of that change independently of the cosmological interpretation applied to it? These questions deserve answers based on observations themselves, rather than on the assumption that the proposed explanation is already established. = Prediction = If a reanalysis of the Planck data, performed without assuming any expansion model — neither ΛCDM nor any pre-integrated cosmological background — reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental, structure-free state would have to be reconsidered. Such a result would indicate that the observed temperature variations contain an organised pattern that cannot simply be attributed to the assumed cosmological background. Its physical origin would then need to be established independently. = Conclusion = The CMB seems not to be a fossil. It is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding Universe: evidence that the Universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day, 13,800,000,000 AD — apparently, the Universe had heard that JC was coming!” This solution is far more parsimonious than the rocambolesque story invented by ΛCDM. And, it might be added that this story is not necessarily free from personal interests. Indeed, if the CMB were no longer accepted as a fossil, ΛCDM would face a fundamental crisis, potentially dragging a few careers down with it. mg25l66v29zfg2curbbo3ph4viy2tbb 2844420 2844417 2026-11-04T05:35:00Z Wb525 3112992 2844420 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == Introduction == Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For something to be identified as a fossil, there must be grounds for establishing that it is a preserved trace of something that existed in the past. In cosmology, however, the term fossil radiation is applied to radiation that is still observed today. Let us be magnanimous and suppose that the term has simply been inherited from paleontology. A conventional definition of a fossil refers to:<blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>A fossil, in this sense, is evidence of something that existed in the past. It is not the original organism continuing to live. The cosmological use of the term is different. The CMB is radiation detected today, and calling it ''fossil radiation'' implies that its present existence is the result of an event in the distant past. But the name does not establish the origin. That origin must be demonstrated independently. Let us therefore ask a few questions: * Why does the ΛCDM model require such a complex historical account, and why should the principle of parsimony not be given greater consideration? * On what grounds should we accept the proposed journey of this radiation across the Universe as the only possible interpretation of what we observe? * On what basis is the radiation assigned an origin approximately 380,000 years after the Big Bang, if the cosmic chronology used to establish that date depends on assumptions that remain open to question? * Why must we necessarily imagine that this radiation was emitted in the distant past and has travelled through the Universe ever since? The CMB is observed. Its designation as fossil radiation is an interpretation of its origin. The distinction matters. '''We should not confuse the name given to an observation with proof of the explanation attached to it'''. = of the Blackbody = The CMB is observed to have an almost perfect blackbody spectrum. But to claim that its temperature is the result of a cooled remnant is an interpretation, not an observation in itself. And it raises some rather peculiar questions. A perfect blackbody spectrum could instead be an original property of the Universe. The temperature of approximately 2.7 K may be an intrinsic condition of the structured Universe: a thermal background that allows geometry to emerge and complex structures to exist. If space were filled with an intense, uniformly distributed background of hot photons, the conditions required for stable atoms, galaxies, and ultimately life would be radically different. The CMB may therefore be better understood as a property of the Universe than as a coincidence resulting from an extraordinarily long cooling process: a condition of a Universe already ready to host structure. Furthermore, the remarkable homogeneity of this temperature deserves consideration. The standard interpretation attributes it to an early state of thermal equilibrium, followed by the subsequent evolution of the radiation. But why should this particular thermal state be regarded solely as a remnant of the past? Could it not be a permanent property of the Universe itself? This possibility is particularly relevant to the UG.NUG distinction. Such uniformity is consistent with the categorical uniformity that characterizes quantum objects: objects without individual geometric identity, belonging to the primordial regime described here. The standard model explains the blackbody spectrum through an initially equilibrated radiation field whose spectrum retains its Planck form as the Universe expands and the radiation is redshifted. But this explanation remains part of the cosmological interpretation being examined. It does not, by itself, establish that the observed temperature is necessarily the remnant of an earlier cosmic state. The alternative proposed here is that the CMB is not a cooled relic, but the permanent thermal manifestation of the GRID: an intrinsic property of the Universe, rather than the leftover radiation of a distant event. This is the possibility that deserves to be considered. = Of the Dating = It is preferable to remember that the date assigned to the CMB is not an observation, but a calculation. According to the standard cosmological model, the CMB originates approximately 380,000 years after the Big Bang. But this figure is not measured directly. It is derived from a reconstruction of the Universe's history, based on the assumptions and parameters of that model. In other words, the date is not a property of the observed radiation. It is the result of the interpretation applied to it. This raises a fundamental question: how can a precise date be assigned to an event in the history of the Universe when the very chronology used to establish that date is itself a product of the cosmological model and of our circadian perception of time? For such a statement, one might almost expect the date to be engraved on each photon! The word years is also worth examining. A year is a human unit of duration, historically associated with the Earth's orbital cycle. Today, it can be expressed in seconds, themselves defined through the frequency of a caesium-133 atomic transition. There is nothing inherently wrong with using a present-day unit to describe a past event. But this does not turn a calculated duration into a directly observed one. The fact that our units are precise does not make the chronology to which we apply them independently established. The distinction is important: we can measure time with extraordinary precision without thereby establishing an absolute chronology for the Universe, where chronometric time has no meaning at all. The approximately 380,000-year figure is therefore not something the CMB tells us. It is what the standard cosmological model tells us about the CMB. And that is precisely what needs to be questioned. = of the S''eeds of the'' ''Universe'' = What are referred to as the "seeds of the Universe" cannot be understood as visible objects. Before geometry, there is no geometrically defined object that can be directly observed or photographed. The quantum domain remains elusive: although we have learned to detect and manipulate certain energetic manifestations of elementary particles, these particles do not present themselves as ordinary, visible objects. Their properties are inferred from their interactions and measurable effects.<blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before presenting an image and identifying its amplified spots as the "seeds of galaxies", one must first establish what these seeds physically are in the invisible regime. What is actually shown is a map of measured temperature variations, processed and amplified to make them visible. Calling these variations "seeds" is already an interpretation. It does not, by itself, establish what they represent or prove that they are the physical precursors of galaxies. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. the cleaned SMICA map is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today, we observe several distinct forms of radiation in the Universe. # Very hot radiation, found around stars and other energetic sources. This is evidence of continuous local production. # A very cold, diffuse microwave background, detected throughout the observable sky, with a temperature of approximately 2.7 K. This is the CMB. # Other diffuse radiation backgrounds, including optical and infrared radiation, originating from numerous sources and processes. If the CMB consists, according to ΛCDM, of radiation that was once much hotter and gradually cooled during its journey, several questions arise. * Why does the CMB stand out so distinctly, with such a remarkably precise blackbody spectrum, from the other diffuse radiation backgrounds? Why do we not observe a succession of comparable thermal backgrounds at intermediate temperatures? * Furthermore, if photons lose energy during their journey, photons emitted by stars should also be affected. Their frequencies may change, but how do we establish the extent of that change independently of the cosmological interpretation applied to it? These questions deserve answers based on observations themselves, rather than on the assumption that the proposed explanation is already established. = Prediction = If a reanalysis of the Planck data, performed without assuming any expansion model — neither ΛCDM nor any pre-integrated cosmological background — reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental, structure-free state would have to be reconsidered. Such a result would indicate that the observed temperature variations contain an organised pattern that cannot simply be attributed to the assumed cosmological background. Its physical origin would then need to be established independently. = Conclusion = The CMB seems not to be a fossil. It is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding Universe: evidence that the Universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day, 13,800,000,000 AD — apparently, the Universe had heard that JC was coming!” This solution is far more parsimonious than the rocambolesque story invented by ΛCDM. And, it might be added that this story is not necessarily free from personal interests. Indeed, if the CMB were no longer accepted as a fossil, ΛCDM would face a fundamental crisis, potentially dragging a few careers down with it. 6z7bo9tspg71mchpq150ixjxvoickbv 2844428 2844420 2026-11-04T05:46:17Z Wb525 3112992 2844428 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == Introduction == Unworthy of being considered a cosmological model, as explained in the chapter singularity, ΛCDM cannot claim to be capable of defining any subsequent event or object in the cosmos before correcting this fatal initial error. Consequently, the current definition of the CMB is null and void, and it therefore '''cannot be considered a fossil'''. Nonetheless, out of respect for readers who support the current model, this paper will still explain why the CMB cannot be considered a fossil. The CMB, which could be renamed the Cosmic Matrix Background, is what we call the GRID (Global Reference in Dynamics). What is observed is a nearly isotropic microwave background, with a mean '''temperature''' of approximately 2.725 K and a spectrum that matches that of a '''blackbody''' with extraordinary precision. Tiny temperature variations exist across the sky, but the underlying radiation is remarkably uniform. Yet this radiation is presented as '''fossil''' light from approximately 380,000 years after the Big Bang, long before galaxies existed, but supposedly already carrying the imprint of the conditions from which the '''seeds of the Universe''' would emerge. Here are some observations about what is to be considered questionable in this interpretation. = of the Fossil = For something to be identified as a fossil, there must be grounds for establishing that it is a preserved trace of something that existed in the past. In cosmology, however, the term fossil radiation is applied to radiation that is still observed today. Let us be magnanimous and suppose that the term has simply been inherited from paleontology. A conventional definition of a fossil refers to:<blockquote>''the preserved remains, impression, or trace of a plant or animal from a past geologic age, typically found embedded in sedimentary rock. The term can also informally refer to an outdated person or thing.''  </blockquote>A fossil, in this sense, is evidence of something that existed in the past. It is not the original organism continuing to live. The cosmological use of the term is different. The CMB is radiation detected today, and calling it ''fossil radiation'' implies that its present existence is the result of an event in the distant past. But the name does not establish the origin. That origin must be demonstrated independently. Let us therefore ask a few questions: * Why does the ΛCDM model require such a complex historical account, and why should the principle of parsimony not be given greater consideration? * On what grounds should we accept the proposed journey of this radiation across the Universe as the only possible interpretation of what we observe? * On what basis is the radiation assigned an origin approximately 380,000 years after the Big Bang, if the cosmic chronology used to establish that date depends on assumptions that remain open to question? * Why must we necessarily imagine that this radiation was emitted in the distant past and has travelled through the Universe ever since? The CMB is observed. Its designation as fossil radiation is an interpretation of its origin. The distinction matters. '''We should not confuse the name given to an observation with proof of the explanation attached to it'''. = of the Blackbody = The CMB is observed to have an almost perfect blackbody spectrum. But to claim that its temperature is the result of a cooled remnant is an interpretation, not an observation in itself. And it raises some rather peculiar questions. A perfect blackbody spectrum could instead be an original property of the Universe. The temperature of approximately 2.7 K may be an intrinsic condition of the structured Universe: a thermal background that allows geometry to emerge and complex structures to exist. If space were filled with an intense, uniformly distributed background of hot photons, the conditions required for stable atoms, galaxies, and ultimately life would be radically different. The CMB may therefore be better understood as a property of the Universe than as a coincidence resulting from an extraordinarily long cooling process: a condition of a Universe already ready to host structure. Furthermore, the remarkable homogeneity of this temperature deserves consideration. The standard interpretation attributes it to an early state of thermal equilibrium, followed by the subsequent evolution of the radiation. But why should this particular thermal state be regarded solely as a remnant of the past? Could it not be a permanent property of the Universe itself? This possibility is particularly relevant to the UG.NUG distinction. Such uniformity is consistent with the categorical uniformity that characterizes quantum objects: objects without individual geometric identity, belonging to the primordial regime described here. The standard model explains the blackbody spectrum through an initially equilibrated radiation field whose spectrum retains its Planck form as the Universe expands and the radiation is redshifted. But this explanation remains part of the cosmological interpretation being examined. It does not, by itself, establish that the observed temperature is necessarily the remnant of an earlier cosmic state. The alternative proposed here is that the CMB is not a cooled relic, but the permanent thermal manifestation of the GRID: an intrinsic property of the Universe, rather than the leftover radiation of a distant event. This is the possibility that deserves to be considered. = Of the Dating = It is preferable to remember that the date assigned to the CMB is not an observation, but a calculation. According to the standard cosmological model, the CMB originates approximately 380,000 years after the Big Bang. But this figure is not measured directly. It is derived from a reconstruction of the Universe's history, based on the assumptions and parameters of that model. In other words, the date is not a property of the observed radiation. It is the result of the interpretation applied to it. This raises a fundamental question: how can a precise date be assigned to an event in the history of the Universe when the very chronology used to establish that date is itself a product of the cosmological model and of our circadian perception of time? For such a statement, one might almost expect the date to be engraved on each photon! The word years is also worth examining. A year is a human unit of duration, historically associated with the Earth's orbital cycle. Today, it can be expressed in seconds, themselves defined through the frequency of a caesium-133 atomic transition. There is nothing inherently wrong with using a present-day unit to describe a past event. But this does not turn a calculated duration into a directly observed one. The fact that our units are precise does not make the chronology to which we apply them independently established. The distinction is important: we can measure time with extraordinary precision without thereby establishing an absolute chronology for the Universe, where chronometric time has no meaning at all. The approximately 380,000-year figure is therefore not something the CMB tells us. It is what the standard cosmological model tells us about the CMB. And that is precisely what needs to be questioned. = of the S''eeds of the'' ''Universe'' = What are referred to as the "seeds of the Universe" cannot be understood as visible objects. Before geometry, there is no geometrically defined object that can be directly observed or photographed. The quantum domain remains elusive: although we have learned to detect and manipulate certain energetic manifestations of elementary particles, these particles do not present themselves as ordinary, visible objects. Their properties are inferred from their interactions and measurable effects.<blockquote>''Therefore, seeds, if they exist, are by definition not photographable.''</blockquote>Before presenting an image and identifying its amplified spots as the "seeds of galaxies", one must first establish what these seeds physically are in the invisible regime. What is actually shown is a map of measured temperature variations, processed and amplified to make them visible. Calling these variations "seeds" is already an interpretation. It does not, by itself, establish what they represent or prove that they are the physical precursors of galaxies. = of the Map = If the CMB were a true fossil from well before the creation of galaxies, then once cleaned of our own galaxy, its map should be smooth. Forever smooth. No structure of the present universe should appear. the cleaned SMICA map is indeed smooth and grey at 2.726K. But once the uniform 2.726K is subtracted and residuals are amplified 100,000 times in false colors, the image we obtain resembles the present large-scale structure. And this is completely incompatible. <blockquote>''A fossil from before structure cannot have the shape of the structure that was created after.''</blockquote> = of the Temperature = Today, we observe several distinct forms of radiation in the Universe. # Very hot radiation, found around stars and other energetic sources. This is evidence of continuous local production. # A very cold, diffuse microwave background, detected throughout the observable sky, with a temperature of approximately 2.7 K. This is the CMB. # Other diffuse radiation backgrounds, including optical and infrared radiation, originating from numerous sources and processes. If the CMB consists, according to ΛCDM, of radiation that was once much hotter and gradually cooled during its journey, several questions arise. * Why does the CMB stand out so distinctly, with such a remarkably precise blackbody spectrum, from the other diffuse radiation backgrounds? Why do we not observe a succession of comparable thermal backgrounds at intermediate temperatures? * Furthermore, if photons lose energy during their journey, photons emitted by stars should also be affected. Their frequencies may change, but how do we establish the extent of that change independently of the cosmological interpretation applied to it? These questions deserve answers based on observations themselves, rather than on the assumption that the proposed explanation is already established. = Prediction = If a reanalysis of the Planck data, performed without assuming any expansion model — neither ΛCDM nor any pre-integrated cosmological background — reveals a persistent acoustic peak, then the interpretation of the CMB as a fundamental, structure-free state would have to be reconsidered. Such a result would indicate that the observed temperature variations contain an organised pattern that cannot simply be attributed to the assumed cosmological background. Its physical origin would then need to be established independently. = Conclusion = The CMB seems not to be a fossil. It is not the echo of a Bang that no one has ever seen. It is the thermal condition of a stable, non-expanding Universe: evidence that the Universe is unfolded and ready to host structure, not that it was born, just like that, who knows where, on a fine summer day, 13,800,000,000 AD — apparently, the Universe had heard that JC was coming!” This solution is far more parsimonious than the rocambolesque story invented by ΛCDM. And, it might be added that this story is not necessarily free from personal interests. Indeed, if the CMB were no longer accepted as a fossil, ΛCDM would face a fundamental crisis, potentially dragging a few careers down with it. 85unurkb9l41lhsplne9eumi6iyda4i 0 332606 2844418 2842937 2026-11-04T05:32:12Z Wb525 3112992 2844418 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] This is what Faraday did not name. We opted for this acronym: GRID — Global Reference In Dynamics. This name also means a simple grid, to insist on the idea that quantum elements are free to move across it, but geometric objects — those of the visible regime — interact with it, creating, among other things, [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. Faraday rejected the idea of empty space, insisting that a minimal presence must always exist. The [[User:Wb525/Cosmology: UG.NUG a coherent model/the CMB|CMB]] <ref name=":1">Penzias, A. A., & Wilson, R. W. (1965). "A Measurement of Excess Antenna Temperature at 4080 Mc/s". The Astrophysical Journal, 142, 419-421</ref> — omnipresent, uniform, and indelible — directly confirms this intuition. Instead of recognizing it as the universe’s permanent substrate, it was interpreted as fossil radiation, a conceptual mistake with lasting consequences.<ref>Faraday's Theories of Matter and Electricity", The British Journal for the History of Science (Cambridge University Press)</ref> The GRID precedes space, has no form, position, or measurable dimension, yet contains the information required for the emergence of objects (particles, atoms). It is a source code that, once executed, generates the geometric world ([[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]]) we partially know. It is what Einstein missed and replaced with the cosmological constant to compensate for his equations' biases. Recognizing it would have freed ΛCDM from most of its paradoxes. Primary energy allows everything to exist and imposes simple laws: * straight → inertia; * curved → [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]; * orbit → equilibrium; * fall → gradient; * collision → interaction. Everything that moves interacts with the GRID. Fast rotation leaves a dynamic imprint, producing friction — the magnetic field — just like a dynamo. Gravity is the static imprint; inertia is the dynamic one. Modern physics forbids mass for W and Z bosons to preserve gauge symmetry, yet experiments show they are massive. The Higgs mechanism was added to bypass this contradiction. With the GRID, inertia comes from deformation of the GRID around objects, eliminating the need for mass and resolving the paradox. From the primordial stage onward, the GRID enables emergence ([[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] → [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]]). It filters [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] objects, organizes them into pre-geometric structures, and provides a phase space allowing them to evolve toward NUG. Without it, [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] objects could never assemble into [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] structures. The GRID preserves the Succession of Emergence — the Arrow of Emergence — acting as the engine of the cosmic sequence without timekeeping. It bridges [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] and [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] by translating non-geometric properties into geometric ones. Thus the GRID is: * the physical substrate (primary energy), * the mediator between [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] and [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] (filter, bridge), * the guarantor of [[User:Wb525/Cosmology: UG.NUG a coherent model#the Arrow of Emergence|cosmic Succession]]. It resolves the paradoxes of  ΛCDM while preserving a non‑anthropocentric reading of the universe. == References == {{reflist}} g1d6tad4tgetlgnq1wh76k9ngmf1eh0 2844419 2844418 2026-11-04T05:33:45Z Wb525 3112992 2844419 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == The GRID == This is what Faraday did not name. We opted for this acronym: GRID — Global Reference In Dynamics. This name also means a simple grid, to insist on the idea that quantum elements are free to move across it, but geometric objects — those of the visible regime — interact with it, creating, among other things, [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. Faraday rejected the idea of empty space, insisting that a minimal presence must always exist. The [[User:Wb525/Cosmology: UG.NUG a coherent model/the CMB|CMB]] <ref name=":1">Penzias, A. A., & Wilson, R. W. (1965). "A Measurement of Excess Antenna Temperature at 4080 Mc/s". The Astrophysical Journal, 142, 419-421</ref> — omnipresent, uniform, and indelible — directly confirms this intuition. Instead of recognizing it as the universe’s permanent substrate, it was interpreted as fossil radiation, a conceptual mistake with lasting consequences.<ref>Faraday's Theories of Matter and Electricity", The British Journal for the History of Science (Cambridge University Press)</ref> The GRID precedes space, has no form, position, or measurable dimension, yet contains the information required for the emergence of objects (particles, atoms). It is a source code that, once executed, generates the geometric world ([[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]]) we partially know. It is what Einstein missed and replaced with the cosmological constant to compensate for his equations' biases. Recognizing it would have freed ΛCDM from most of its paradoxes. Primary energy allows everything to exist and imposes simple laws: * straight → inertia; * curved → [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]; * orbit → equilibrium; * fall → gradient; * collision → interaction. Everything that moves interacts with the GRID. Fast rotation leaves a dynamic imprint, producing friction — the magnetic field — just like a dynamo. Gravity is the static imprint; inertia is the dynamic one. Modern physics forbids mass for W and Z bosons to preserve gauge symmetry, yet experiments show they are massive. The Higgs mechanism was added to bypass this contradiction. With the GRID, inertia comes from deformation of the GRID around objects, eliminating the need for mass and resolving the paradox. From the primordial stage onward, the GRID enables emergence ([[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] → [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]]). It filters [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] objects, organizes them into pre-geometric structures, and provides a phase space allowing them to evolve toward NUG. Without it, [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] objects could never assemble into [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] structures. The GRID preserves the Succession of Emergence — the Arrow of Emergence — acting as the engine of the cosmic sequence without timekeeping. It bridges [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] and [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] by translating non-geometric properties into geometric ones. Thus the GRID is: * the physical substrate (primary energy), * the mediator between [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] and [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] (filter, bridge), * the guarantor of [[User:Wb525/Cosmology: UG.NUG a coherent model#the Arrow of Emergence|cosmic Succession]]. It resolves the paradoxes of  ΛCDM while preserving a non‑anthropocentric reading of the universe. == References == {{reflist}} tkb253b9alrqgdstvtcob3o9m4dmov0 2844429 2844419 2026-11-04T05:46:41Z Wb525 3112992 2844429 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == The GRID == This is what Faraday did not name. We opted for this acronym: GRID — Global Reference In Dynamics. This name also means a simple grid, to insist on the idea that quantum elements are free to move across it, but geometric objects — those of the visible regime — interact with it, creating, among other things, [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. Faraday rejected the idea of empty space, insisting that a minimal presence must always exist. The [[User:Wb525/Cosmology: UG.NUG a coherent model/the CMB|CMB]] <ref name=":1">Penzias, A. A., & Wilson, R. W. (1965). "A Measurement of Excess Antenna Temperature at 4080 Mc/s". The Astrophysical Journal, 142, 419-421</ref> — omnipresent, uniform, and indelible — directly confirms this intuition. Instead of recognizing it as the universe’s permanent substrate, it was interpreted as fossil radiation, a conceptual mistake with lasting consequences.<ref>Faraday's Theories of Matter and Electricity", The British Journal for the History of Science (Cambridge University Press)</ref> The GRID precedes space, has no form, position, or measurable dimension, yet contains the information required for the emergence of objects (particles, atoms). It is a source code that, once executed, generates the geometric world ([[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]]) we partially know. It is what Einstein missed and replaced with the cosmological constant to compensate for his equations' biases. Recognizing it would have freed ΛCDM from most of its paradoxes. Primary energy allows everything to exist and imposes simple laws: * straight → inertia; * curved → [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]; * orbit → equilibrium; * fall → gradient; * collision → interaction. Everything that moves interacts with the GRID. Fast rotation leaves a dynamic imprint, producing friction — the magnetic field — just like a dynamo. Gravity is the static imprint; inertia is the dynamic one. Modern physics forbids mass for W and Z bosons to preserve gauge symmetry, yet experiments show they are massive. The Higgs mechanism was added to bypass this contradiction. With the GRID, inertia comes from deformation of the GRID around objects, eliminating the need for mass and resolving the paradox. From the primordial stage onward, the GRID enables emergence ([[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] → [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]]). It filters [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] objects, organizes them into pre-geometric structures, and provides a phase space allowing them to evolve toward NUG. Without it, [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] objects could never assemble into [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] structures. The GRID preserves the Succession of Emergence — the Arrow of Emergence — acting as the engine of the cosmic sequence without timekeeping. It bridges [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] and [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] by translating non-geometric properties into geometric ones. Thus the GRID is: * the physical substrate (primary energy), * the mediator between [[User:Wb525/Cosmology: UG.NUG a coherent model#UG|UG]] and [[User:Wb525/Cosmology: UG.NUG a coherent model#NUG|NUG]] (filter, bridge), * the guarantor of [[User:Wb525/Cosmology: UG.NUG a coherent model#the Arrow of Emergence|cosmic Succession]]. It resolves the paradoxes of  ΛCDM while preserving a non‑anthropocentric reading of the universe. == References == {{reflist}} afakhr7a7wkipha37t990nkxej33i9f 0 332607 2844421 2842538 2026-11-04T05:36:27Z Wb525 3112992 2844421 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == Gravity == In the ΛCDM, this force would supposedly arise from the curvature of a non‑existent spacetime. The Big Bang paradigm provides no physical substrate to curve. Spacetime is an abstract mathematical object, without minimal presence (unlike Faraday or UG.NUG). A physical deformation is therefore attributed to a non‑physical structure, which constitutes a major fundamental contradiction. In the UG.NUG reading, gravity is the static reaction of the GRID in the presence of geometric objects. It is not a fundamental force, has no quantum carrier, and cannot be reduced to a quantum field theory. It is therefore not quantifiable in the physical sense — not because it is immeasurable, but because it does not belong to the quantum regime. It is measurable only on Earth, through its effect on a physical reference (e.g., one liter of water). And the only real measurement of gravity is simply the pressure it exerts on an everyday object. Take one liter of water. Whatever its container — a thin bottle, a wide one, or a balloon — it will always weigh one kilogram. Well, without any grandiloquent formula, Newtonian or Einsteinian, I can tell you that gravity at Earth’s surface is 1 kilogram‑force (1 kgf). Assuming our water balloon would float in weightlessness and weighs the equivalent of one liter of water on Earth, the result is beyond doubt. In the Big Bang Paradigm, gravity at Earth’s surface is computed in several steps. For non‑specialists, understanding the equations is irrelevant. It only serves to demonstrate an unnecessary complexity to reach the same result than without equations: We assume Earth has a mass M. # This mass is not measured directly: it is inferred from other models (orbits, constants, etc.). # We assume gravity follows Newton’s law: <math>F = G \frac{m_1 m_2}{r^2}</math> where * F is gravitational force, * G the gravitational constant, * M Earth’s mass, * m the object’s mass, * and R Earth’s radius. # We define gravitational acceleration For an object of mass m, we write Take a 1‑kg object. By definition, in this reading, one liter of water has a mass of 1 kg. # The force exerted by gravity on this object is then We introduce a practical unit: the kilogram‑force (kgf). # By convention, we define : Thus, the force exerted by gravity on 1 kg (ou 1 liter of water) Earth’s : Result : For the ΛCDM, gravity on earth, applied to 1 liter of water, corresponds to 1 kgf. QED Gravity is therefore the expression of the GRID’s pressure on Earth’s surface — or on any spatial object. The denser an object is in matter, the more it deforms the GRID. It works like a slingshot: when the elastic is stretched, it thins and loses efficiency in supporting spatial objects approaching Earth. This is why such objects are attracted and, having progressively lost the support the GRID offered them, end up crashing onto its surface. The GRID thus logically resolves many anomalies that trouble the ΛCDM. The problem is that this paradigm is not satisfied with gravity at large scales; it wants gravity at the scale of the infinitely small. The first serious and structured proposal for quantum gravity came from Matvei Bronstein in 1935. He suggested that gravity should also be expressed and calculated in the quantum regime, on the grounds that the gravitational field becomes unobservable below a certain scale. During his lifetime, it would have been useful to reply to him that if gravity disappears at a certain point, it may simply be because it is no longer there. Apparently, he did not care, and his obsession was enough to drag the ΛCDM into a long, hopeless quest that, strangely, is still being pursued. For yes, gravity remains the stone in the shoe of the ΛCDM. It is hard to understand why one refuses to accept that a tension effect cannot act on invisible, non‑geometric objects — which, for non‑specialists, is like being surprised that one cannot pat a ghost on the shoulder. So it seems useless to comment further on this waste of time and resources in such a pursuit. Just for the record, gravity is not the only property that exists only at the macroscopic level: temperature, friction, and pressure belong to the same category and interact only with geometric, perceptible objects. It is also strange to imagine that a force — any force — could act at both levels. Just because you can tap someone on the shoulder does not mean you can high‑five a particle. A force that acts on structured, geometric objects cannot reasonably act on entities devoid of geometry. The only coherent solution is therefore a purely geometric gravity — all the more so since it has resisted for a century every attempt to force it into a quantum reality. = Prediction = If a free‑fall experiment (such as MICROSCOPE) were to measure a deviation in acceleration depending on the composition of the objects, beyond instrumental uncertainties, then the hypothesis of gravity as a tension of the GRID — blind to matter — would be contradicted. pvaflx368wyg2a1m121ljuednqz794a 2844430 2844421 2026-11-04T05:46:59Z Wb525 3112992 2844430 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == Gravity == In the ΛCDM, this force would supposedly arise from the curvature of a non‑existent spacetime. The Big Bang paradigm provides no physical substrate to curve. Spacetime is an abstract mathematical object, without minimal presence (unlike Faraday or UG.NUG). A physical deformation is therefore attributed to a non‑physical structure, which constitutes a major fundamental contradiction. In the UG.NUG reading, gravity is the static reaction of the GRID in the presence of geometric objects. It is not a fundamental force, has no quantum carrier, and cannot be reduced to a quantum field theory. It is therefore not quantifiable in the physical sense — not because it is immeasurable, but because it does not belong to the quantum regime. It is measurable only on Earth, through its effect on a physical reference (e.g., one liter of water). And the only real measurement of gravity is simply the pressure it exerts on an everyday object. Take one liter of water. Whatever its container — a thin bottle, a wide one, or a balloon — it will always weigh one kilogram. Well, without any grandiloquent formula, Newtonian or Einsteinian, I can tell you that gravity at Earth’s surface is 1 kilogram‑force (1 kgf). Assuming our water balloon would float in weightlessness and weighs the equivalent of one liter of water on Earth, the result is beyond doubt. In the Big Bang Paradigm, gravity at Earth’s surface is computed in several steps. For non‑specialists, understanding the equations is irrelevant. It only serves to demonstrate an unnecessary complexity to reach the same result than without equations: We assume Earth has a mass M. # This mass is not measured directly: it is inferred from other models (orbits, constants, etc.). # We assume gravity follows Newton’s law: <math>F = G \frac{m_1 m_2}{r^2}</math> where * F is gravitational force, * G the gravitational constant, * M Earth’s mass, * m the object’s mass, * and R Earth’s radius. # We define gravitational acceleration For an object of mass m, we write Take a 1‑kg object. By definition, in this reading, one liter of water has a mass of 1 kg. # The force exerted by gravity on this object is then We introduce a practical unit: the kilogram‑force (kgf). # By convention, we define : Thus, the force exerted by gravity on 1 kg (ou 1 liter of water) Earth’s : Result : For the ΛCDM, gravity on earth, applied to 1 liter of water, corresponds to 1 kgf. QED Gravity is therefore the expression of the GRID’s pressure on Earth’s surface — or on any spatial object. The denser an object is in matter, the more it deforms the GRID. It works like a slingshot: when the elastic is stretched, it thins and loses efficiency in supporting spatial objects approaching Earth. This is why such objects are attracted and, having progressively lost the support the GRID offered them, end up crashing onto its surface. The GRID thus logically resolves many anomalies that trouble the ΛCDM. The problem is that this paradigm is not satisfied with gravity at large scales; it wants gravity at the scale of the infinitely small. The first serious and structured proposal for quantum gravity came from Matvei Bronstein in 1935. He suggested that gravity should also be expressed and calculated in the quantum regime, on the grounds that the gravitational field becomes unobservable below a certain scale. During his lifetime, it would have been useful to reply to him that if gravity disappears at a certain point, it may simply be because it is no longer there. Apparently, he did not care, and his obsession was enough to drag the ΛCDM into a long, hopeless quest that, strangely, is still being pursued. For yes, gravity remains the stone in the shoe of the ΛCDM. It is hard to understand why one refuses to accept that a tension effect cannot act on invisible, non‑geometric objects — which, for non‑specialists, is like being surprised that one cannot pat a ghost on the shoulder. So it seems useless to comment further on this waste of time and resources in such a pursuit. Just for the record, gravity is not the only property that exists only at the macroscopic level: temperature, friction, and pressure belong to the same category and interact only with geometric, perceptible objects. It is also strange to imagine that a force — any force — could act at both levels. Just because you can tap someone on the shoulder does not mean you can high‑five a particle. A force that acts on structured, geometric objects cannot reasonably act on entities devoid of geometry. The only coherent solution is therefore a purely geometric gravity — all the more so since it has resisted for a century every attempt to force it into a quantum reality. = Prediction = If a free‑fall experiment (such as MICROSCOPE) were to measure a deviation in acceleration depending on the composition of the objects, beyond instrumental uncertainties, then the hypothesis of gravity as a tension of the GRID — blind to matter — would be contradicted. cdeg2m9k815u6cqxj8pxn2fdo4q3cmt 0 332608 2844423 2842540 2026-11-04T05:38:06Z Wb525 3112992 2844423 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == Introduction == It is striking that, from the sole observation of intense light and rapid motion at galactic centres, one has built the improbable image of a black, invisible object that swallows matter. This interpretive feat is a remarkable example of how the standard model turns observations into ideology. In the standard model, black holes are described as objects of extreme density, surrounded by an event horizon from which nothing can escape. They are said to be formed by the collapse of massive stars, and they are invoked to explain the intense luminosity and rapid motions observed at the centres of galaxies. But this description is a curious interpretation, not an observation. == What is actually observed: == At the centre of most large galaxies, there is a compact, luminous source <ref>{{Cite journal|last=The Event Horizon Telescope Collaboration|last2=Akiyama|first2=Kazunori|last3=Alberdi|first3=Antxon|last4=Alef|first4=Walter|last5=Asada|first5=Keiichi|last6=Azulay|first6=Rebecca|last7=Baczko|first7=Anne-Kathrin|last8=Ball|first8=David|last9=Baloković|first9=Mislav|date=2019-04-10|title=First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole|url=https://iopscience.iop.org/article/10.3847/2041-8213/ab0ec7|journal=The Astrophysical Journal Letters|volume=875|issue=1|pages=L1|doi=10.3847/2041-8213/ab0ec7|issn=2041-8205}}</ref>. This source emits intense radiation across a wide range of wavelengths: X‑rays, infrared, radio. Around this source, stars move very fast, in tight orbits. Jets of matter and energy are sometimes ejected along a preferred axis. The source itself is extremely small compared to the galaxy that surrounds it. ''That is what we see. No hole. No singularity. No invisible object''. == Observing the CMB/GRID == The [[User:Wb525/Cosmology: UG.NUG a coherent model/the CMB|CMB]] does not look like a flat, peaceful lake, but rather like a collection of intense zones. These regions are natural centres of emergence. And it is certainly why the universe's organisation is merely based on groups of objects like galaxies. Where the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] is dense enough, geometry emerges. This emergence is not a passive event: it is an active, energetic process. It produces heat, radiation, and motion. It concentrates energy in a small volume, creating a bright, compact region. This is what we observe at the centres of galaxies. * The light and radiation come from the emergence itself. * The rapid motion of stars is due to the pressure of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] on the emerging geometry. * The jets are the expulsion of energy along the axis of emergence. * There is no singularity, no infinite density, no absorption of matter. * There is no horizon — only a region where geometry is still forming, and which remains compact because the emergence is not yet fully deployed. This reading explains all the observations without invoking invisible objects, without postulating singularities, and without requiring the absorption of matter. It also eliminates the need for quantum gravity, which in any case, was, [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|is and will always be unconditionally impossible]]. Black holes, therefore, do not exist. These very bright galaxy centres are birthplaces of geometry — centres where the universe emerges by groups of objects, actively, from its own substrate. == Galaxies' persistent activity == The spiral structure of galaxies is the visible trace of a continuous quantum activity due to a probable permanent process of emergence. The direction of rotation is not really understandable and could be just aleatory and depend on the spreading fluctuations of quantum effervescence. What actually happens is that galaxies are, poetically, living organisms with a beating heart that renews — through its quantum source, the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] — its energetic capacity by continuously creating new stars, these energy-producing facilities. This cycle keeps the global equilibrium intact despite the end-of-life of existing stars. The universe is not dying. It is closer to what mankind has sought since the dawn of time: perpetual motion. In this case, at the centre, a quantum effervescence gives rise to multiple geometries at once — objects that do not appear in their final form immediately and obviously increase the mass of the centre so a powerful  gravity is exerted. The new objects first take on intermediate, lighter forms, orbiting close to the centre. As they mature, they grow in mass and gradually move outward, shifting to more distant orbits. This progressive migration, driven by the increasing maturity of the emerging objects, naturally produces a spiral pattern — without the need for dark matter or complex gravitational adjustments. == Black Hole Observations == {| class="wikitable" |'''Observation''' |'''Standard Interpretation''' |'''UG.NUG Interpretation''' |- |Gravitational waves (LIGO/Virgo/KAGRA <ref>{{Cite journal|last=Abbott|first=B. P.|last2=Abbott|first2=R.|last3=Abbott|first3=T. D.|last4=Abernathy|first4=M. R.|last5=Acernese|first5=F.|last6=Ackley|first6=K.|last7=Adams|first7=C.|last8=Adams|first8=T.|last9=Addesso|first9=P.|date=2016-02-11|title=Observation of Gravitational Waves from a Binary Black Hole Merger|url=https://link.aps.org/doi/10.1103/PhysRevLett.116.061102|journal=Physical Review Letters|language=en|volume=116|issue=6|doi=10.1103/PhysRevLett.116.061102|issn=0031-9007}}</ref>) |Ripples in spacetime from black hole mergers. |Ripples in the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]], produced by the dynamics of emergent geometry. |- |Spin (ΩH) |Rotation of the black hole's horizon. |Not a rotation of a horizon. It is a dynamic feature of the emergence zone. |- |Surface gravity (κ) |Gravity at the event horizon. |Not gravity at a horizon. It is the local pressure of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] on emerging geometry. |- |Ringdown |The black hole settling into its final state. |Not a black hole settling. It is the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] returning to equilibrium after an emergence event. |- |Event horizon |A "surface of no return." |Not a surface of no return. It is the boundary of a region where geometry is still forming. |- |Pair-instability mass gap |Gap in black hole masses due to stellar physics; filled by hierarchical mergers. |There is no mass gap. Mass is not a property of these regions. What is observed is the distribution of emergence intensity. |- |Spin populations |Low-spin (direct collapse) and high-spin (hierarchical mergers). |No low‑spin or high‑spin populations. Spin is a secondary effect of geometric emergence, not a product of mergers. |- |12C(α,γ)16O reaction rate |Critical for nuclear astrophysics and stellar evolution. |Not relevant. These regions are not formed by stellar evolution. |- |Pair-instability gap (m₂ only) |Evidence for hierarchical mergers; primary components in the gap are merger products. |No gap. The observed distribution reflects different levels of emergence maturity. |- |High spins in gap binaries |Signatures of hierarchical mergers. |Not a signature of mergers. It is a signature of intense emergence. |- |Low black hole masses (10⁵–10⁷ M⊙) |The lowest mass black holes known at high redshift. |Not a measure of [[User:Wb525/Cosmology: UG.NUG a coherent model/the Mass Imbroglio|mass]]. It is a measure of the intensity of the emergence zone. |- |12C(α,γ)16O S-factor constraint |Links gravitational-wave astronomy to nuclear astrophysics. |Not relevant. This region does not involve nuclear astrophysics. |- |Growth of light seed black holes at high redshift |Tiny black holes from Population III stars grow rapidly (~10⁴ M⊙) to become the seeds of supermassive black holes observed by JWST <ref>{{Cite journal|last=Loeb|first=Abraham|date=2024-07-12|title=Little Red Dots from Low-spin Galaxies at High Redshifts|url=https://iopscience.iop.org/article/10.3847/2515-5172/ad614c|journal=Research Notes of the AAS|volume=8|issue=7|pages=182|doi=10.3847/2515-5172/ad614c|issn=2515-5172}}</ref> at z > 8. |No seeds, no growth. The observed objects are simply emergence zones at different levels of geometric maturity. Redshift is not cosmic time; it is a measure of geometric maturity. |} == References == <references /> 9qgpmtj3y5nyp88yjc8giiew3msyvlx 2844431 2844423 2026-11-04T05:47:21Z Wb525 3112992 2844431 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] == Introduction == It is striking that, from the sole observation of intense light and rapid motion at galactic centres, one has built the improbable image of a black, invisible object that swallows matter. This interpretive feat is a remarkable example of how the standard model turns observations into ideology. In the standard model, black holes are described as objects of extreme density, surrounded by an event horizon from which nothing can escape. They are said to be formed by the collapse of massive stars, and they are invoked to explain the intense luminosity and rapid motions observed at the centres of galaxies. But this description is a curious interpretation, not an observation. == What is actually observed: == At the centre of most large galaxies, there is a compact, luminous source <ref>{{Cite journal|last=The Event Horizon Telescope Collaboration|last2=Akiyama|first2=Kazunori|last3=Alberdi|first3=Antxon|last4=Alef|first4=Walter|last5=Asada|first5=Keiichi|last6=Azulay|first6=Rebecca|last7=Baczko|first7=Anne-Kathrin|last8=Ball|first8=David|last9=Baloković|first9=Mislav|date=2019-04-10|title=First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole|url=https://iopscience.iop.org/article/10.3847/2041-8213/ab0ec7|journal=The Astrophysical Journal Letters|volume=875|issue=1|pages=L1|doi=10.3847/2041-8213/ab0ec7|issn=2041-8205}}</ref>. This source emits intense radiation across a wide range of wavelengths: X‑rays, infrared, radio. Around this source, stars move very fast, in tight orbits. Jets of matter and energy are sometimes ejected along a preferred axis. The source itself is extremely small compared to the galaxy that surrounds it. ''That is what we see. No hole. No singularity. No invisible object''. == Observing the CMB/GRID == The [[User:Wb525/Cosmology: UG.NUG a coherent model/the CMB|CMB]] does not look like a flat, peaceful lake, but rather like a collection of intense zones. These regions are natural centres of emergence. And it is certainly why the universe's organisation is merely based on groups of objects like galaxies. Where the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] is dense enough, geometry emerges. This emergence is not a passive event: it is an active, energetic process. It produces heat, radiation, and motion. It concentrates energy in a small volume, creating a bright, compact region. This is what we observe at the centres of galaxies. * The light and radiation come from the emergence itself. * The rapid motion of stars is due to the pressure of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] on the emerging geometry. * The jets are the expulsion of energy along the axis of emergence. * There is no singularity, no infinite density, no absorption of matter. * There is no horizon — only a region where geometry is still forming, and which remains compact because the emergence is not yet fully deployed. This reading explains all the observations without invoking invisible objects, without postulating singularities, and without requiring the absorption of matter. It also eliminates the need for quantum gravity, which in any case, was, [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|is and will always be unconditionally impossible]]. Black holes, therefore, do not exist. These very bright galaxy centres are birthplaces of geometry — centres where the universe emerges by groups of objects, actively, from its own substrate. == Galaxies' persistent activity == The spiral structure of galaxies is the visible trace of a continuous quantum activity due to a probable permanent process of emergence. The direction of rotation is not really understandable and could be just aleatory and depend on the spreading fluctuations of quantum effervescence. What actually happens is that galaxies are, poetically, living organisms with a beating heart that renews — through its quantum source, the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] — its energetic capacity by continuously creating new stars, these energy-producing facilities. This cycle keeps the global equilibrium intact despite the end-of-life of existing stars. The universe is not dying. It is closer to what mankind has sought since the dawn of time: perpetual motion. In this case, at the centre, a quantum effervescence gives rise to multiple geometries at once — objects that do not appear in their final form immediately and obviously increase the mass of the centre so a powerful  gravity is exerted. The new objects first take on intermediate, lighter forms, orbiting close to the centre. As they mature, they grow in mass and gradually move outward, shifting to more distant orbits. This progressive migration, driven by the increasing maturity of the emerging objects, naturally produces a spiral pattern — without the need for dark matter or complex gravitational adjustments. == Black Hole Observations == {| class="wikitable" |'''Observation''' |'''Standard Interpretation''' |'''UG.NUG Interpretation''' |- |Gravitational waves (LIGO/Virgo/KAGRA <ref>{{Cite journal|last=Abbott|first=B. P.|last2=Abbott|first2=R.|last3=Abbott|first3=T. D.|last4=Abernathy|first4=M. R.|last5=Acernese|first5=F.|last6=Ackley|first6=K.|last7=Adams|first7=C.|last8=Adams|first8=T.|last9=Addesso|first9=P.|date=2016-02-11|title=Observation of Gravitational Waves from a Binary Black Hole Merger|url=https://link.aps.org/doi/10.1103/PhysRevLett.116.061102|journal=Physical Review Letters|language=en|volume=116|issue=6|doi=10.1103/PhysRevLett.116.061102|issn=0031-9007}}</ref>) |Ripples in spacetime from black hole mergers. |Ripples in the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]], produced by the dynamics of emergent geometry. |- |Spin (ΩH) |Rotation of the black hole's horizon. |Not a rotation of a horizon. It is a dynamic feature of the emergence zone. |- |Surface gravity (κ) |Gravity at the event horizon. |Not gravity at a horizon. It is the local pressure of the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] on emerging geometry. |- |Ringdown |The black hole settling into its final state. |Not a black hole settling. It is the [[User:Wb525/Cosmology: UG.NUG a coherent model/the GRID|GRID]] returning to equilibrium after an emergence event. |- |Event horizon |A "surface of no return." |Not a surface of no return. It is the boundary of a region where geometry is still forming. |- |Pair-instability mass gap |Gap in black hole masses due to stellar physics; filled by hierarchical mergers. |There is no mass gap. Mass is not a property of these regions. What is observed is the distribution of emergence intensity. |- |Spin populations |Low-spin (direct collapse) and high-spin (hierarchical mergers). |No low‑spin or high‑spin populations. Spin is a secondary effect of geometric emergence, not a product of mergers. |- |12C(α,γ)16O reaction rate |Critical for nuclear astrophysics and stellar evolution. |Not relevant. These regions are not formed by stellar evolution. |- |Pair-instability gap (m₂ only) |Evidence for hierarchical mergers; primary components in the gap are merger products. |No gap. The observed distribution reflects different levels of emergence maturity. |- |High spins in gap binaries |Signatures of hierarchical mergers. |Not a signature of mergers. It is a signature of intense emergence. |- |Low black hole masses (10⁵–10⁷ M⊙) |The lowest mass black holes known at high redshift. |Not a measure of [[User:Wb525/Cosmology: UG.NUG a coherent model/the Mass Imbroglio|mass]]. It is a measure of the intensity of the emergence zone. |- |12C(α,γ)16O S-factor constraint |Links gravitational-wave astronomy to nuclear astrophysics. |Not relevant. This region does not involve nuclear astrophysics. |- |Growth of light seed black holes at high redshift |Tiny black holes from Population III stars grow rapidly (~10⁴ M⊙) to become the seeds of supermassive black holes observed by JWST <ref>{{Cite journal|last=Loeb|first=Abraham|date=2024-07-12|title=Little Red Dots from Low-spin Galaxies at High Redshifts|url=https://iopscience.iop.org/article/10.3847/2515-5172/ad614c|journal=Research Notes of the AAS|volume=8|issue=7|pages=182|doi=10.3847/2515-5172/ad614c|issn=2515-5172}}</ref> at z > 8. |No seeds, no growth. The observed objects are simply emergence zones at different levels of geometric maturity. Redshift is not cosmic time; it is a measure of geometric maturity. |} == References == <references /> t6v1zb48c665h2g7f2qpypcy5w99q7l 0 332609 2844416 2842548 2026-11-04T05:29:02Z Wb525 3112992 2844416 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Abstract = This paper traces the historical failure to define mass as a fundamental physical concept. We show that Newton defines mass circularly <ref>{{Cite book|url=https://doi.org/10.5479/sil.52126.39088015628399|title=Philosophiae naturalis principia mathematica|last=Newton|first=Isaac|date=1687|publisher=Jussu Societatis Regiae ac Typis Josephi Streater. Prostat apud plures bibliopolas}}</ref> through force (m=F/a and F=Gm1m2/r²), a critique initiated by Mach (1883) <ref>{{Cite journal|date=1885-03-06|title=A Recent Discussion of the Axioms of Mechanics: <i>Die mechanik in ihrer entwickelung historisch-kritisch dargestellt</i> . Von E. Mach, professor an der Universität zu Prag. Leipzig, Brockhaus, 1883. 10+483 p., illustr. 8°.|url=https://doi.org/10.1126/science.ns-5.109.201|journal=Science|volume=ns-5|issue=109|pages=201–202|doi=10.1126/science.ns-5.109.201|issn=0036-8075}}</ref>. We then show that Einstein's mass-energy equivalence (E=mc²) operates an ontological substitution where mass becomes an emergent accounting of confined energy, as exemplified by the proton mass paradox (9 MeV vs 938 MeV). Unable to provide a non-referential definition for composite and quantum objects, we propose an operationalist alternative based on a single standard — one liter of pure water — deploying * a static terrestrial weight indicator for any body on Earth * a dynamic microgravity resistance indicator (<math>F_s </math>) — the flick method — for any body in space, * an isobaric volumetric comparison for gases where the flick is inoperative. We show that ''m'' is undefinable anywhere: weight is definable on Earth, <math>F_s </math> in microgravity, and even <math>F_s </math> fails in the quantum regime, for it is not geometric. Keywords: mass, circular definition, Einstein, Mach, matter-density, universal measure. = Introduction = The definition of mass presents a persistent logical difficulty. It is largely understandable because mass is not definable. Mass strangely occupies an unjustly crucial place in physics even though it is neither truly defined, nor truly existent, nor truly useful. Its history is fascinating, because we guess it must be rare, in the so‑called hard sciences, to encounter such an imbroglio. That said, nothing prevents us from trying to untangle it and understand the successive mistakes that led to this highly questionable notion of mass. = The Human Definition of Mass = First of all, we need to get rid of the dictionary definition, which describes the kilogram as a unit of mass rather than weight. A kilo of tomatoes is a weight for every human being. No one ever speaks of a ''mass of tomatoes''. So let us forget that definition and take the kilo as a unit of weight, as common usage does. It will make things simpler for everyone. Weight can be measured on Earth because, in 1795, it was decided that it would correspond to one liter of water at 4 degrees Celsius. Since then, the practical standards have changed for convenience, but the underlying reference has remained the same: 1 kg = the weight of one cubic decimeter of water at 4°C (maximum density), pure water, normal pressure. From there, we can imagine that a kilo of tomatoes drifting through space does not weigh the same as on Earth. So we can deduce that the kilogram expresses a weight produced by [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. * '''Space''': weight = 0 kg * '''Earth''': weight = 1 kg What, then, should mass be? In pure logic, it ought to represent the density of matter contained in that kilo of tomatoes. This density is an invariant geometric reality, which may — or may not — be influenced by [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. = Matter-Density = To illustrate this idea of matter-density, let us replace the tomatoes with a pack of water bottles. Whether they contain water or not, their geometry (their volume) remains the same. But if the bottles are empty, [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]] will make them weigh, let us say, 400 g. If they are full, they will weigh 9 kg. So [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]] acts, on the one hand, on geometry, and on the other hand, on matter-density (the amount of matter inside that volume). Both are crucial in evaluating the pressure that weight produces. It is obvious that if the pack is replaced by a cherry-sized ball made of the densest metal on Earth, its tiny geometry will never allow it to weigh as much as a full pack of water bottles. In the collective imagination, this definition of mass (as matter-density) is far healthier than anything offered by Newton's circular equations. = Mass in Space: Inertia Without Weight = In space, the pack of bottles will float the same way whether it is empty or full. Their weight is zero, but their inertia — that resistance to motion — remains different. Yet this inertia can only be defined relative to an acceleration (a = Δv/Δt), which itself depends on time and velocity. And these two quantities only make sense within a human reference frame. So even if mass (as matter-density) exists, it cannot be defined without a terrestrial reference. Mass, like acceleration, time, or velocity, is a human construction — a necessary illusion to describe our experience, but without any absolute foundation in the universe. The lack of terrestrial references is not the sole reason. The other reason is the mixture of matters. While a shopping bag with potatoes, tomatoes, and fish is still weighable despite the variety of products, mass can absolutely not be described nor calculated. We now have a logical and coherent proof that mass is undefinable without a pure single composition — which is not possible — and, in any case, in an environment without reference. It follows, therefore, that mass is undefinable anywhere. Weight remains definable on Earth because it is a pressure on a support. In space, only the resistance to a flick (<math>F_s </math>) is definable. In the quantum regime, even <math>F_s </math> is inoperative, for one cannot push a ghost. There is no geometry to push against, and no handle to flick. The quantum regime requires other, non-mechanical probes — deflection in a field, cyclotron frequency, atomic recoil — none of which constitute a definition of mass in itself, only measurements of its effects. = The Circular Definition of Newton = Before Newton, people weighed things with stones. Merchants simply compared reactions between two objects. A potato was worth three stones, a piece of metal balanced a sack of grain, and all of this was nothing more than a game of equivalences between pressures — a silent dialogue between objects and their responses. No one spoke of "amount of matter"; no one imagined that an object possessed, within itself, a unit that indicated its weight. Newton was the first to try to define mass — but he did so using… mass itself, creating a definitional loop that no one noticed. Here is his reasoning: To know mass, you must know force. So he writes: m = F / a. Then, to know force (F), he writes: F = G·m₁·m₂ / r². It is clear that Newton uses m to define m. He also uses: * G, a universal gravitational constant with the value 6.674×10⁻¹¹  whose numerical value depends on the unit system chosen, and which is not derived from any deeper principle. It is a measured constant, not a deduced one. * r (distance between bodies), impossible to calculate at the time, yet made dependent on [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]], adding another loop. To this day, this interdependence has remained largely unexamined — even though, despite its circular structure, it remains useful for calibrating every scale in the world. = The Quantum Mistake = Three centuries later, mass bursts into quantum physics with a plethora of inventors and a succession of patch-ups: * Einstein made it ambiguous (E = mc²) <ref>{{Cite journal|last=Einstein|first=A.|date=1905-01|title=Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig?|url=https://doi.org/10.1002/andp.19053231314|journal=Annalen der Physik|volume=323|issue=13|pages=639–641|doi=10.1002/andp.19053231314|issn=0003-3804}}</ref>. * Dirac introduced it as a free parameter in his equation <ref>{{Cite journal|last=Dirac|first=Paul Adrien Maurice|date=1928-02-01|title=The quantum theory of the electron|url=https://doi.org/10.1098/rspa.1928.0023|journal=Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character|volume=117|issue=778|pages=610–624|doi=10.1098/rspa.1928.0023|issn=0950-1207}}</ref>. * Higgs displaced its origin onto another field. Many physicists — Dirac, Englert <ref>{{Cite journal|last=Englert|first=F.|last2=Brout|first2=R.|date=1964-08-31|title=Broken Symmetry and the Mass of Gauge Vector Mesons|url=https://doi.org/10.1103/physrevlett.13.321|journal=Physical Review Letters|volume=13|issue=9|pages=321–323|doi=10.1103/physrevlett.13.321|issn=0031-9007}}</ref>, Brout, Guralnik <ref>{{Cite journal|last=Guralnik|first=G. S.|last2=Hagen|first2=C. R.|last3=Kibble|first3=T. W. B.|date=1964-11-16|title=Global Conservation Laws and Massless Particles|url=https://doi.org/10.1103/physrevlett.13.585|journal=Physical Review Letters|volume=13|issue=20|pages=585–587|doi=10.1103/physrevlett.13.585|issn=0031-9007}}</ref>, Hagen, Kibble — contributed to its rise. But none ever defined it independently. In the 20th century, Peter Higgs <ref>{{Cite journal|last=Higgs|first=Peter W.|date=1964-10-19|title=Broken Symmetries and the Masses of Gauge Bosons|url=https://doi.org/10.1103/physrevlett.13.508|journal=Physical Review Letters|volume=13|issue=16|pages=508–509|doi=10.1103/physrevlett.13.508|issn=0031-9007}}</ref> and a few others took over, but here, the problems grew with more patches to the model. = Einstein's Effacement = It turns out that the total mass of a stone is far greater than the sum of the masses of the elementary particles that compose it. Nuclear physics and special relativity explain this through Einstein's mass-energy equivalence: E = mc² (or m = E/c²). In this framework, the mass of an object is the sum of its total internal energies divided by c². That is why ordinary matter has a mass far greater than what the tiny masses of quarks would suggest. A striking example: if one adds up the rest masses of the quarks in a proton, one gets about 9 MeV/c². Yet the measured mass of the proton is about 938 MeV/c² — the difference exceeds 99%. Modern physics resolved this paradox by redefining mass not as a sum of tiny bricks of matter, but as an emergent property of internal energy. In doing so, Einstein built a world where the m in his equation has very little to do with the mass humans intuitively expect. Above all, this m is undefinable everywhere. Einstein himself would acknowledge the problem in 1948. In a letter to Lincoln Barnett, he writes <ref>{{Cite journal|last=Einstein|first=Albert|date=1948-12|title=A Letter from Albert Einstein|url=https://doi.org/10.1080/00963402.1948.11460269|journal=Bulletin of the Atomic Scientists|volume=4|issue=12|pages=354–354|doi=10.1080/00963402.1948.11460269|issn=0096-3402}}</ref>: ''"It is not good to introduce the concept of the mass'' <math>M = \frac{m}{\sqrt{1 - v^2/c^2}}</math> ''of a moving body, for which no clear definition can be given. It is better to introduce no other mass concept than the rest mass mm."'' The symbol had already circulated worldwide. It was never recalled. He could have written E = b·c², where b simply represents the amount of "boom" (compressed energy) contained in a system. That would have been clearer and less misleading than using m, a symbol burdened with a false identity inherited from classical mechanics. = Consequences = Thus, mass is widely used by the model, but since it is undefinable in reality, outside that model it exists only under false identities  — often as a mathematical parameter with no direct connection to the tangible world. Physics should have renamed it to avoid this mess. This mass enigma is also one of the reasons for the justified divorce between applied physics and conceptual physics. Without ever being stated explicitly, the inherited conceptual frameworks are insufficient to interpret the universe and send rockets into space. = Toward a Universal Measure = The analysis of the historical trajectory of mass reveals a dead end: theoretical physics has trapped itself in a Newtonian circularity and an Einsteinian ontological substitution to mask its inability to calculate the microscopic essence of a composite object. To escape this mathematical fiction, there is no need to invent new parameters. The universe offers a direct, universal, and pragmatic reading of physical reality through a mirror of measurements based on a single standard material: one liter of pure water. This system deploys two observable and non-anthropocentric realities: '''On Earth''' (The Static Indicator) The only way to apprehend a complex mix of matters is the direct measurement of its pressure on a support. This weight is simply qualified in parts or multiples of the terrestrial standard liter of water. '''In Space''' (The Dynamic Indicator) In weightlessness, this same liter of water does not change its nature, but its weight vanishes. It then reveals a standard resistance force ( F_s ): the exact minimum energy of the flick needed to initiate its motion. From then on, the measurement of any body in the universe frees itself from the abstract concept of mass. The resistance of an object in weightlessness is qualified in strict multiples of this standard flick force ( F_s ), creating a perfect mirror with the terrestrial kilogram-force. '''For Gases''' For gases, measurement is made by pressure compared within a standard volume — for example, by injecting a volume of gas into a liter of water and observing the resulting bubble. In space, a flexible container holding the gas is compared to the same container holding a liter of standard water. The isobaric volumetric comparison serves as the indicator, without any calculation of force. = Final Statement = The universe does not calculate mass — it responds to an interaction. On Earth it responds with weight. In space it responds with resistance to a flick (F_s). In the quantum, it does not even respond to a push. This method of universal measurement restores physics to its primary function: to write what it observes, without projecting its own geometric illusions onto it. = References = <references /> cn7xozjbbljdxcjjmuacq4158ia8re0 2844427 2844416 2026-11-04T05:45:59Z Wb525 3112992 2844427 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Abstract = This paper traces the historical failure to define mass as a fundamental physical concept. We show that Newton defines mass circularly <ref>{{Cite book|url=https://doi.org/10.5479/sil.52126.39088015628399|title=Philosophiae naturalis principia mathematica|last=Newton|first=Isaac|date=1687|publisher=Jussu Societatis Regiae ac Typis Josephi Streater. Prostat apud plures bibliopolas}}</ref> through force (m=F/a and F=Gm1m2/r²), a critique initiated by Mach (1883) <ref>{{Cite journal|date=1885-03-06|title=A Recent Discussion of the Axioms of Mechanics: <i>Die mechanik in ihrer entwickelung historisch-kritisch dargestellt</i> . Von E. Mach, professor an der Universität zu Prag. Leipzig, Brockhaus, 1883. 10+483 p., illustr. 8°.|url=https://doi.org/10.1126/science.ns-5.109.201|journal=Science|volume=ns-5|issue=109|pages=201–202|doi=10.1126/science.ns-5.109.201|issn=0036-8075}}</ref>. We then show that Einstein's mass-energy equivalence (E=mc²) operates an ontological substitution where mass becomes an emergent accounting of confined energy, as exemplified by the proton mass paradox (9 MeV vs 938 MeV). Unable to provide a non-referential definition for composite and quantum objects, we propose an operationalist alternative based on a single standard — one liter of pure water — deploying * a static terrestrial weight indicator for any body on Earth * a dynamic microgravity resistance indicator (<math>F_s </math>) — the flick method — for any body in space, * an isobaric volumetric comparison for gases where the flick is inoperative. We show that ''m'' is undefinable anywhere: weight is definable on Earth, <math>F_s </math> in microgravity, and even <math>F_s </math> fails in the quantum regime, for it is not geometric. Keywords: mass, circular definition, Einstein, Mach, matter-density, universal measure. = Introduction = The definition of mass presents a persistent logical difficulty. It is largely understandable because mass is not definable. Mass strangely occupies an unjustly crucial place in physics even though it is neither truly defined, nor truly existent, nor truly useful. Its history is fascinating, because we guess it must be rare, in the so‑called hard sciences, to encounter such an imbroglio. That said, nothing prevents us from trying to untangle it and understand the successive mistakes that led to this highly questionable notion of mass. = The Human Definition of Mass = First of all, we need to get rid of the dictionary definition, which describes the kilogram as a unit of mass rather than weight. A kilo of tomatoes is a weight for every human being. No one ever speaks of a ''mass of tomatoes''. So let us forget that definition and take the kilo as a unit of weight, as common usage does. It will make things simpler for everyone. Weight can be measured on Earth because, in 1795, it was decided that it would correspond to one liter of water at 4 degrees Celsius. Since then, the practical standards have changed for convenience, but the underlying reference has remained the same: 1 kg = the weight of one cubic decimeter of water at 4°C (maximum density), pure water, normal pressure. From there, we can imagine that a kilo of tomatoes drifting through space does not weigh the same as on Earth. So we can deduce that the kilogram expresses a weight produced by [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. * '''Space''': weight = 0 kg * '''Earth''': weight = 1 kg What, then, should mass be? In pure logic, it ought to represent the density of matter contained in that kilo of tomatoes. This density is an invariant geometric reality, which may — or may not — be influenced by [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]]. = Matter-Density = To illustrate this idea of matter-density, let us replace the tomatoes with a pack of water bottles. Whether they contain water or not, their geometry (their volume) remains the same. But if the bottles are empty, [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]] will make them weigh, let us say, 400 g. If they are full, they will weigh 9 kg. So [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]] acts, on the one hand, on geometry, and on the other hand, on matter-density (the amount of matter inside that volume). Both are crucial in evaluating the pressure that weight produces. It is obvious that if the pack is replaced by a cherry-sized ball made of the densest metal on Earth, its tiny geometry will never allow it to weigh as much as a full pack of water bottles. In the collective imagination, this definition of mass (as matter-density) is far healthier than anything offered by Newton's circular equations. = Mass in Space: Inertia Without Weight = In space, the pack of bottles will float the same way whether it is empty or full. Their weight is zero, but their inertia — that resistance to motion — remains different. Yet this inertia can only be defined relative to an acceleration (a = Δv/Δt), which itself depends on time and velocity. And these two quantities only make sense within a human reference frame. So even if mass (as matter-density) exists, it cannot be defined without a terrestrial reference. Mass, like acceleration, time, or velocity, is a human construction — a necessary illusion to describe our experience, but without any absolute foundation in the universe. The lack of terrestrial references is not the sole reason. The other reason is the mixture of matters. While a shopping bag with potatoes, tomatoes, and fish is still weighable despite the variety of products, mass can absolutely not be described nor calculated. We now have a logical and coherent proof that mass is undefinable without a pure single composition — which is not possible — and, in any case, in an environment without reference. It follows, therefore, that mass is undefinable anywhere. Weight remains definable on Earth because it is a pressure on a support. In space, only the resistance to a flick (<math>F_s </math>) is definable. In the quantum regime, even <math>F_s </math> is inoperative, for one cannot push a ghost. There is no geometry to push against, and no handle to flick. The quantum regime requires other, non-mechanical probes — deflection in a field, cyclotron frequency, atomic recoil — none of which constitute a definition of mass in itself, only measurements of its effects. = The Circular Definition of Newton = Before Newton, people weighed things with stones. Merchants simply compared reactions between two objects. A potato was worth three stones, a piece of metal balanced a sack of grain, and all of this was nothing more than a game of equivalences between pressures — a silent dialogue between objects and their responses. No one spoke of "amount of matter"; no one imagined that an object possessed, within itself, a unit that indicated its weight. Newton was the first to try to define mass — but he did so using… mass itself, creating a definitional loop that no one noticed. Here is his reasoning: To know mass, you must know force. So he writes: m = F / a. Then, to know force (F), he writes: F = G·m₁·m₂ / r². It is clear that Newton uses m to define m. He also uses: * G, a universal gravitational constant with the value 6.674×10⁻¹¹  whose numerical value depends on the unit system chosen, and which is not derived from any deeper principle. It is a measured constant, not a deduced one. * r (distance between bodies), impossible to calculate at the time, yet made dependent on [[User:Wb525/Cosmology: UG.NUG a coherent model/gravity|gravity]], adding another loop. To this day, this interdependence has remained largely unexamined — even though, despite its circular structure, it remains useful for calibrating every scale in the world. = The Quantum Mistake = Three centuries later, mass bursts into quantum physics with a plethora of inventors and a succession of patch-ups: * Einstein made it ambiguous (E = mc²) <ref>{{Cite journal|last=Einstein|first=A.|date=1905-01|title=Ist die Trägheit eines Körpers von seinem Energieinhalt abhängig?|url=https://doi.org/10.1002/andp.19053231314|journal=Annalen der Physik|volume=323|issue=13|pages=639–641|doi=10.1002/andp.19053231314|issn=0003-3804}}</ref>. * Dirac introduced it as a free parameter in his equation <ref>{{Cite journal|last=Dirac|first=Paul Adrien Maurice|date=1928-02-01|title=The quantum theory of the electron|url=https://doi.org/10.1098/rspa.1928.0023|journal=Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character|volume=117|issue=778|pages=610–624|doi=10.1098/rspa.1928.0023|issn=0950-1207}}</ref>. * Higgs displaced its origin onto another field. Many physicists — Dirac, Englert <ref>{{Cite journal|last=Englert|first=F.|last2=Brout|first2=R.|date=1964-08-31|title=Broken Symmetry and the Mass of Gauge Vector Mesons|url=https://doi.org/10.1103/physrevlett.13.321|journal=Physical Review Letters|volume=13|issue=9|pages=321–323|doi=10.1103/physrevlett.13.321|issn=0031-9007}}</ref>, Brout, Guralnik <ref>{{Cite journal|last=Guralnik|first=G. S.|last2=Hagen|first2=C. R.|last3=Kibble|first3=T. W. B.|date=1964-11-16|title=Global Conservation Laws and Massless Particles|url=https://doi.org/10.1103/physrevlett.13.585|journal=Physical Review Letters|volume=13|issue=20|pages=585–587|doi=10.1103/physrevlett.13.585|issn=0031-9007}}</ref>, Hagen, Kibble — contributed to its rise. But none ever defined it independently. In the 20th century, Peter Higgs <ref>{{Cite journal|last=Higgs|first=Peter W.|date=1964-10-19|title=Broken Symmetries and the Masses of Gauge Bosons|url=https://doi.org/10.1103/physrevlett.13.508|journal=Physical Review Letters|volume=13|issue=16|pages=508–509|doi=10.1103/physrevlett.13.508|issn=0031-9007}}</ref> and a few others took over, but here, the problems grew with more patches to the model. = Einstein's Effacement = It turns out that the total mass of a stone is far greater than the sum of the masses of the elementary particles that compose it. Nuclear physics and special relativity explain this through Einstein's mass-energy equivalence: E = mc² (or m = E/c²). In this framework, the mass of an object is the sum of its total internal energies divided by c². That is why ordinary matter has a mass far greater than what the tiny masses of quarks would suggest. A striking example: if one adds up the rest masses of the quarks in a proton, one gets about 9 MeV/c². Yet the measured mass of the proton is about 938 MeV/c² — the difference exceeds 99%. Modern physics resolved this paradox by redefining mass not as a sum of tiny bricks of matter, but as an emergent property of internal energy. In doing so, Einstein built a world where the m in his equation has very little to do with the mass humans intuitively expect. Above all, this m is undefinable everywhere. Einstein himself would acknowledge the problem in 1948. In a letter to Lincoln Barnett, he writes <ref>{{Cite journal|last=Einstein|first=Albert|date=1948-12|title=A Letter from Albert Einstein|url=https://doi.org/10.1080/00963402.1948.11460269|journal=Bulletin of the Atomic Scientists|volume=4|issue=12|pages=354–354|doi=10.1080/00963402.1948.11460269|issn=0096-3402}}</ref>: ''"It is not good to introduce the concept of the mass'' <math>M = \frac{m}{\sqrt{1 - v^2/c^2}}</math> ''of a moving body, for which no clear definition can be given. It is better to introduce no other mass concept than the rest mass mm."'' The symbol had already circulated worldwide. It was never recalled. He could have written E = b·c², where b simply represents the amount of "boom" (compressed energy) contained in a system. That would have been clearer and less misleading than using m, a symbol burdened with a false identity inherited from classical mechanics. = Consequences = Thus, mass is widely used by the model, but since it is undefinable in reality, outside that model it exists only under false identities  — often as a mathematical parameter with no direct connection to the tangible world. Physics should have renamed it to avoid this mess. This mass enigma is also one of the reasons for the justified divorce between applied physics and conceptual physics. Without ever being stated explicitly, the inherited conceptual frameworks are insufficient to interpret the universe and send rockets into space. = Toward a Universal Measure = The analysis of the historical trajectory of mass reveals a dead end: theoretical physics has trapped itself in a Newtonian circularity and an Einsteinian ontological substitution to mask its inability to calculate the microscopic essence of a composite object. To escape this mathematical fiction, there is no need to invent new parameters. The universe offers a direct, universal, and pragmatic reading of physical reality through a mirror of measurements based on a single standard material: one liter of pure water. This system deploys two observable and non-anthropocentric realities: '''On Earth''' (The Static Indicator) The only way to apprehend a complex mix of matters is the direct measurement of its pressure on a support. This weight is simply qualified in parts or multiples of the terrestrial standard liter of water. '''In Space''' (The Dynamic Indicator) In weightlessness, this same liter of water does not change its nature, but its weight vanishes. It then reveals a standard resistance force ( F_s ): the exact minimum energy of the flick needed to initiate its motion. From then on, the measurement of any body in the universe frees itself from the abstract concept of mass. The resistance of an object in weightlessness is qualified in strict multiples of this standard flick force ( F_s ), creating a perfect mirror with the terrestrial kilogram-force. '''For Gases''' For gases, measurement is made by pressure compared within a standard volume — for example, by injecting a volume of gas into a liter of water and observing the resulting bubble. In space, a flexible container holding the gas is compared to the same container holding a liter of standard water. The isobaric volumetric comparison serves as the indicator, without any calculation of force. = Final Statement = The universe does not calculate mass — it responds to an interaction. On Earth it responds with weight. In space it responds with resistance to a flick (F_s). In the quantum, it does not even respond to a push. This method of universal measurement restores physics to its primary function: to write what it observes, without projecting its own geometric illusions onto it. = References = <references /> 6da3qa7whqlfqmcorz4d5wco0l7swiv 0 332693 2844332 2843293 2026-11-03T22:19:51Z The Citer 3110681 2844332 wikitext text/x-wiki [[File:Animalia diversity.jpg|thumb|300px|Eumetazoans]] '''Eumetazoa''' is a group that excludes [[porifera|sponges]]. *Name meaning: Truly Late Life *English common name: Nonsponge animals, Eumetazoans *Major distinguishing characteristics: Arguably, many if not most can move *Approximate number of species described: 1,895,000+ ==Phylogeny== {{clade |label1='''Eumetazoa|1={{clade |1=[[Ctenophora]] [[File:Mnemiopsis leidyi 247259012.png|60 px]] |label2=ParaHoxozoa |2={{clade |1=[[Placozoa]] [[File:Trichoplax adhaerens photograph (no background).png|60 px]] |label2=Planulozoa |2={{clade |1=[[Cnidaria]] <span style="{{MirrorH}}">[[File:Jellyfish, Shaw Ocean Discovery Centre (7201323966).png|70px]]</span> |label2=Bilateria |2={{clade |label1=[[Animal Phyla/Xenacoelomorpha|Xenacoelomorpha]] |1={{clade |1=[[Xenoturbellida]] [[File:Xenoturbella japonica.jpg|70 px]] |2=[[Acoelomorpha]] [[File:Proporus sp.png|60 px]] }} |label2= Nephrozoa |sublabel2= |2={{clade |label1=Deuterostomia |1={{clade |label2=Ambulacraria |2={{clade|1=[[Echinodermata]] [[File:Portugal 20140812-DSC01434 (21371237591).jpg|60 px]] |2=[[Hemichordata]] [[Image:Chaetonotus (Chaetonotus) polyspinosus.jpg|60px]] }} |1=[[Chordata]] [[File:Blueback herring fish (white background).jpg|60 px]] }} |label2= Protostomia |sublabel2= |2={{clade |label1=[[Ecdysozoa]] |1={{clade |label1=Scalidophora |1={{Clade |1=[[Loricifera]] [[File:Rugiloricus NMNH-USNM1159127NO4-1overview-4.jpg|50x50px]] |2={{clade |label1=Kinorpriahylida |1={{clade |2=[[Priapulida]] [[File:Adult priapulid 2.jpg|50x50px]] |1=[[Kinorhyncha]] [[File:Paracentrophyes quadridentatus (white).jpg|50x50px]]}} }} }} |label4=Cryptovermes |4={{clade |label1=[[Nematoida]] |1={{clade |1=[[Nematoda]] [[File:CelegansGoldsteinLabUNC 2.jpg|50x50px]] |2=[[Nematomorpha]] [[File:Nematomorpha Somiedo (white background).jpg|50x50px]] }} |label5=[[Panarthropoda]] |5={{clade |1=[[Tardigrada]] [[File:SEM image of Milnesium tardigradum in active state - journal.pone.0045682.g001-2 (white background).png|50x50px]] |2={{clade |1=[[Arthropoda]] [[File:Aptostichus simus Monterey County.jpg|50x50px]] |2=[[Onychophora]] [[File:Velvet_worm.png|50x50px]] }} }} }} }} |label2=Spiralia |2={{clade |1=Platyzoa [[File:CYC-000075_hab_Symbion_pandora_Paratype.tif|60px]] |2=Lophotrochozoa [[File:Grapevinesnail 01.jpg|60 px]]}} }} }} }}}} }} }}}} ==References== [[Wikipedia:Eumetazoa]] [[Category:Taxonomy]] [[Category:Zoology]] [[Category:Animals]] [[Category:biology]] s3uacbjwfjoc82zoft7nox8evhoshso 2 332696 2844254 2843990 2026-11-03T17:02:21Z Atcovi 276019 +Ibn Sa'di 2844254 wikitext text/x-wiki {{displaytitle|The Sayings of the Scholars & the Salaf}} '''Aaqib Azeez''' <big>بِسْمِ اللَّهِ الرَّحْمَٰنِ الرَّحِيمِ</big><br> ''In the Name of Allah, the Beneficent, the Merciful'' <big>إنَّ الْحَمْدَ لِلَّهِ نَحْمَدُهُ وَنَسْتَعِينُهُ مَنْ يَهْدِهِ اللَّهُ فَلاَ مُضِلَّ لَهُ وَمَنْ يُضْلِلِ اللَّهُ فَلاَ هَادِيَ لَهُ وَأَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللَّهُ وَحْدَهُ لاَ شَرِيكَ لَهُ وَأَشْهَدُ أَنَّ مُحَمَّدًا عَبْدُهُ وَرَسُولُهُ أَمَّا بَعْدُ</big><br> ''Praise be to Allah, we seek His help. Whomsoever Allah guides will never be led astray, and whomsoever Allah leaves astray, no one can guide. I bear witness that there is none worthy of worship but Allah (alone with no partners) and I bear witness that Muhammad is His slave and Messenger. To proceed:'' Allaah, the Exalted, says: * {''O you who have believed, fear Allaah as He should be feared and do not die except as Muslims (in submission to Him).''} [[https://quran.com/ali-imran/102 Quran 3:102]] * {''O mankind, fear your Lord, Who created you from one soul and created from it its mate and dispersed from both of them many men and women. And fear Allaah, through whom you ask one another, and the wombs. Indeed, Allaah is ever, over you, an Observer.''} [[https://quran.com/an-nisa/1 Quran 4:1]] * {''O you who have believed, fear Allaah and speak words of appropriate justice. He will (then) amend for you your deeds and forgive you your sins. And whoever obeys Allaah and His Messenger has certainly attained a great attainment.''} [[https://quran.com/al-ahzab/70-71 Quran 33:70-71]] This page is intended to compile quotes and beneficial knowledge of Islam through the understanding of the righteous scholars and the Salaf. ==Sheikh ibn Baz== === Refuting Terrorism === *"From that which is known to everyone who has the slightest bit of common sense is that '''hijacking airplanes and kidnapping children and the like are extremely great crimes''', the world over. Their evil effects are far and wide, as is the great harm and inconvenience caused to the innocent; the total effect of which none can comprehend except Allaah. Likewise, from that which is known is that these crimes are not specific to any particular country over and above another country, nor any specific group over and above another group, rather it encompasses the whole world. There is no doubt about the effect of these crimes; '''so it is obligatory upon the governments and those responsible from amongst the scholars and other than them to afford these issues great concern, and to exert themselves as much as possible in ending this evil.'''" **SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/hijackings-kidnappings-and-bombings-shaykh-ibn-baaz-authentic-translations-com.pdf 1] ==[https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf Sheikh Muqbil Al-Wadi'i]== * "'''To me, reading the ''Sahihayn'' (of al-Bukhari and Muslim) is the sweetest pleasure in the world'''. When I open ''Bukhari'' and read: "'Abd Allah b. Yusuf narrated to us: Malik narrated to us..." or I read ''Imam'' Muslim say: "Yahya b. Yahya narrated to us...." I forget all the concerns of the ''dunya'' (world) and its problems" ** ''Al-Sahih al-Musnad'', SOURCE: [https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf 1] === Refuting Osama bin Laden === * The scholar of Yemen, Shaykh Muqbil Ibn Hādī al-Wādi’ī, said in an interview with the Kuwaiti newspaper, “al-Ra’yu al-'Ām” (no. 11503, 12/19/1998), “'''Here, before Allāh, I completely reject and declare myself free of Bin Laden, for he is an evil threat and tribulation to the (Islamic) nation, and his actions are heinous'''.” And in the same interview, the interviewer said, “It seems Muslims are beginning to face difficulties in western countries because of the bombings that have taken place in almost every place in the world.” Shaykh Muqbil replied: I know. Some brothers from Britain even called me, complaining about the hardships they now face there, asking if it is permissible to publicize their rejection of and disassociation from Osama Bin Laden. '''We told them that we have already rejected and disassociated ourselves from him and his crimes a long time ago. And this current state is evidence that Muslims in the West suffer difficulties because of movements like those of ‘[https://simplysalafiyyah.com/refutations-r.php?id=51&sayyid-qutub%27s-deviations-and-its-insignias-on-the-muslim-brotherhood---part-one The Muslim Brotherhood]’ and others. And from Allāh we ask help.''' ** SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/the-position-of-the-scholars-regarding-osama-bin-laden-various-scholars-authentic-translations-com.pdf 1] ==Sheikh Salih al-Fawzan== *Reflect upon why you were created, and reflect upon where you are heading. For the intelligent person contemplates his present condition and what lies ahead, and prepares for what is before him. This worldly life is a place of passage, and the Hereafter is the place of permanent residence. The worldly life is the abode of action, and the Hereafter is the abode of recompense. Know your reality - may Allah have mercy upon you. '''Let each person reflect within himself: what has he prepared for meeting Allah, the Most High?! So whoever hopes for the meeting of his Lord - then let him do righteous deeds, and not associate anyone in the worship of his Lord.''' **SOURCE: [https://www.youtube.com/shorts/5lfgD0oUKSc 1] ==Sheikh ibn Uthaymeen== == Sheikh Muhammad ibn Abd al-Wahhab == * Abu Hurairah asked the Messenger (ﷺ): "Who will be the most fortunate and be granted your intercession?" The Messenger said: "Whoever professes with sincerity in his heart and declares: 'There is no deity worthy of worship but Allah.'" This initial intercession is only granted by the grace of Allah to the believers. Undoubtedly, those who associate Allah with others will have no share of it. The truth is that intercession is a manifestation of Allah's glory and grace upon the sincere believers. Whoever Allah permits to intercede by good prayer, Allah forgives them their sins. The sole purpose of which is to honor their faith and raise them to a praiseworthy position. However under various circumstances the Qur'an denies intercession that includes any form of shirk. The Messenger ﷺ declared that it is restricted to the people of Tawheed and the believers in the oneness of Allah. ** SOURCE: ''Book of Monotheism'', page 27. == Sheikh ibn al-Qayyim == * The deputies of Iblis on earth are those who discourage people from seeking knowledge and understanding the religion. These individuals are more harmful to people than the devils among the jinn, for they stand between hearts and the guidance of Allah and His path. ** Miftah Dar al-Sa'adah (1/160) [Al-Baseerah Islamic Center in Plainfield, New Jersey] * I heard Shaykh al-Islam ibn Taymiyyah (may Allah have mercy upon him) say: "'''Part of the perfection of ettiquette in salah is for the worshipper to stand before his Lord with his head bowed, lowering his gaze toward the ground and not raising his eyes upward'''." ** Madarij al-Salikin (2/364) [Al-Baseerah Islamic Center in Plainfield, New Jersey] *A scholar said, "To have patience means that one's common sense and religious motives are stronger than one's whims and desires." It is natural for people to have an inclination towards their desires, but common sense and the religious motive should limit that inclination. The two forces at war: sometimes reason and religion win, and sometimes whims and desires prevail. '''The battlefield is the heart of man'''. **''Patience and Gratitude | An abridged translation of 'Uddat as-sabirin wa dhakhirat ash-shakirin by Ibn Qayyim al-Jawziyyah (translated by Nasiruddin al-Khattab)'', page 14-15. == Sheikh ibn Muflih al-Hanbali == * How astonishing it is that so many people wail, mourn and complain bitterly the destruction of their homes, the scarcity of provisions, the harshness of the times, and the rising of prices; '''yet they have never once expressed intense grief over the strangeness of the religion, the disappearance of the Sunan, or the spread of innovations'''. '''Nor have they wept over their own shortcomings. This is due to the weakness of their ''iman'' and the greatness of worldly life in their eyes.''' ** Al-Adab al-Shar'iyyah (3/240) == Muhammad Taqi al-Din al-Hilali == * The intellect alone cannot establish Tawhid without being illuminated by the light of revelation. Therefore, Allah did not make the intellect alone a proof against the people. Allah, the Most High, said what means: "And We would never punish until We had sent a Messenger" [17:15]. ** Hashiyah 'ala Kitab al-Tawhid (pg. 350), [Al-Baseerah Islamic Center in Plainfield, New Jersey] == Ibn Sa'di == * This religion has not left any good except that it called to it, nor any benefit except that it encouraged it. And it has not left any path that leads to the rectification of religious and worldly affairs except that it urged toward it. Likewise, it has not left any corruption, evil, or harm except that it warned against it." ** Majmu Mu'allafaith (6/166), [Al-Baseerah Islamic Center in Plainfield, New Jersey] [[Category:Islamic Studies]] [[Category:Atcovi's Work]] okmqtt1t9w2552jkyrqtfur34ztulwz 2844264 2844254 2026-11-03T17:09:35Z Atcovi 276019 /* Ibn Sa'di */ 2844264 wikitext text/x-wiki {{displaytitle|The Sayings of the Scholars & the Salaf}} '''Aaqib Azeez''' <big>بِسْمِ اللَّهِ الرَّحْمَٰنِ الرَّحِيمِ</big><br> ''In the Name of Allah, the Beneficent, the Merciful'' <big>إنَّ الْحَمْدَ لِلَّهِ نَحْمَدُهُ وَنَسْتَعِينُهُ مَنْ يَهْدِهِ اللَّهُ فَلاَ مُضِلَّ لَهُ وَمَنْ يُضْلِلِ اللَّهُ فَلاَ هَادِيَ لَهُ وَأَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللَّهُ وَحْدَهُ لاَ شَرِيكَ لَهُ وَأَشْهَدُ أَنَّ مُحَمَّدًا عَبْدُهُ وَرَسُولُهُ أَمَّا بَعْدُ</big><br> ''Praise be to Allah, we seek His help. Whomsoever Allah guides will never be led astray, and whomsoever Allah leaves astray, no one can guide. I bear witness that there is none worthy of worship but Allah (alone with no partners) and I bear witness that Muhammad is His slave and Messenger. To proceed:'' Allaah, the Exalted, says: * {''O you who have believed, fear Allaah as He should be feared and do not die except as Muslims (in submission to Him).''} [[https://quran.com/ali-imran/102 Quran 3:102]] * {''O mankind, fear your Lord, Who created you from one soul and created from it its mate and dispersed from both of them many men and women. And fear Allaah, through whom you ask one another, and the wombs. Indeed, Allaah is ever, over you, an Observer.''} [[https://quran.com/an-nisa/1 Quran 4:1]] * {''O you who have believed, fear Allaah and speak words of appropriate justice. He will (then) amend for you your deeds and forgive you your sins. And whoever obeys Allaah and His Messenger has certainly attained a great attainment.''} [[https://quran.com/al-ahzab/70-71 Quran 33:70-71]] This page is intended to compile quotes and beneficial knowledge of Islam through the understanding of the righteous scholars and the Salaf. ==Sheikh ibn Baz== === Refuting Terrorism === *"From that which is known to everyone who has the slightest bit of common sense is that '''hijacking airplanes and kidnapping children and the like are extremely great crimes''', the world over. Their evil effects are far and wide, as is the great harm and inconvenience caused to the innocent; the total effect of which none can comprehend except Allaah. Likewise, from that which is known is that these crimes are not specific to any particular country over and above another country, nor any specific group over and above another group, rather it encompasses the whole world. There is no doubt about the effect of these crimes; '''so it is obligatory upon the governments and those responsible from amongst the scholars and other than them to afford these issues great concern, and to exert themselves as much as possible in ending this evil.'''" **SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/hijackings-kidnappings-and-bombings-shaykh-ibn-baaz-authentic-translations-com.pdf 1] ==[https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf Sheikh Muqbil Al-Wadi'i]== * "'''To me, reading the ''Sahihayn'' (of al-Bukhari and Muslim) is the sweetest pleasure in the world'''. When I open ''Bukhari'' and read: "'Abd Allah b. Yusuf narrated to us: Malik narrated to us..." or I read ''Imam'' Muslim say: "Yahya b. Yahya narrated to us...." I forget all the concerns of the ''dunya'' (world) and its problems" ** ''Al-Sahih al-Musnad'', SOURCE: [https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf 1] === Refuting Osama bin Laden === * The scholar of Yemen, Shaykh Muqbil Ibn Hādī al-Wādi’ī, said in an interview with the Kuwaiti newspaper, “al-Ra’yu al-'Ām” (no. 11503, 12/19/1998), “'''Here, before Allāh, I completely reject and declare myself free of Bin Laden, for he is an evil threat and tribulation to the (Islamic) nation, and his actions are heinous'''.” And in the same interview, the interviewer said, “It seems Muslims are beginning to face difficulties in western countries because of the bombings that have taken place in almost every place in the world.” Shaykh Muqbil replied: I know. Some brothers from Britain even called me, complaining about the hardships they now face there, asking if it is permissible to publicize their rejection of and disassociation from Osama Bin Laden. '''We told them that we have already rejected and disassociated ourselves from him and his crimes a long time ago. And this current state is evidence that Muslims in the West suffer difficulties because of movements like those of ‘[https://simplysalafiyyah.com/refutations-r.php?id=51&sayyid-qutub%27s-deviations-and-its-insignias-on-the-muslim-brotherhood---part-one The Muslim Brotherhood]’ and others. And from Allāh we ask help.''' ** SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/the-position-of-the-scholars-regarding-osama-bin-laden-various-scholars-authentic-translations-com.pdf 1] ==Sheikh Salih al-Fawzan== *Reflect upon why you were created, and reflect upon where you are heading. For the intelligent person contemplates his present condition and what lies ahead, and prepares for what is before him. This worldly life is a place of passage, and the Hereafter is the place of permanent residence. The worldly life is the abode of action, and the Hereafter is the abode of recompense. Know your reality - may Allah have mercy upon you. '''Let each person reflect within himself: what has he prepared for meeting Allah, the Most High?! So whoever hopes for the meeting of his Lord - then let him do righteous deeds, and not associate anyone in the worship of his Lord.''' **SOURCE: [https://www.youtube.com/shorts/5lfgD0oUKSc 1] ==Sheikh ibn Uthaymeen== == Sheikh Muhammad ibn Abd al-Wahhab == * Abu Hurairah asked the Messenger (ﷺ): "Who will be the most fortunate and be granted your intercession?" The Messenger said: "Whoever professes with sincerity in his heart and declares: 'There is no deity worthy of worship but Allah.'" This initial intercession is only granted by the grace of Allah to the believers. Undoubtedly, those who associate Allah with others will have no share of it. The truth is that intercession is a manifestation of Allah's glory and grace upon the sincere believers. Whoever Allah permits to intercede by good prayer, Allah forgives them their sins. The sole purpose of which is to honor their faith and raise them to a praiseworthy position. However under various circumstances the Qur'an denies intercession that includes any form of shirk. The Messenger ﷺ declared that it is restricted to the people of Tawheed and the believers in the oneness of Allah. ** SOURCE: ''Book of Monotheism'', page 27. == Sheikh ibn al-Qayyim == * The deputies of Iblis on earth are those who discourage people from seeking knowledge and understanding the religion. These individuals are more harmful to people than the devils among the jinn, for they stand between hearts and the guidance of Allah and His path. ** Miftah Dar al-Sa'adah (1/160) [Al-Baseerah Islamic Center in Plainfield, New Jersey] * I heard Shaykh al-Islam ibn Taymiyyah (may Allah have mercy upon him) say: "'''Part of the perfection of ettiquette in salah is for the worshipper to stand before his Lord with his head bowed, lowering his gaze toward the ground and not raising his eyes upward'''." ** Madarij al-Salikin (2/364) [Al-Baseerah Islamic Center in Plainfield, New Jersey] *A scholar said, "To have patience means that one's common sense and religious motives are stronger than one's whims and desires." It is natural for people to have an inclination towards their desires, but common sense and the religious motive should limit that inclination. The two forces at war: sometimes reason and religion win, and sometimes whims and desires prevail. '''The battlefield is the heart of man'''. **''Patience and Gratitude | An abridged translation of 'Uddat as-sabirin wa dhakhirat ash-shakirin by Ibn Qayyim al-Jawziyyah (translated by Nasiruddin al-Khattab)'', page 14-15. == Sheikh ibn Muflih al-Hanbali == * How astonishing it is that so many people wail, mourn and complain bitterly the destruction of their homes, the scarcity of provisions, the harshness of the times, and the rising of prices; '''yet they have never once expressed intense grief over the strangeness of the religion, the disappearance of the Sunan, or the spread of innovations'''. '''Nor have they wept over their own shortcomings. This is due to the weakness of their ''iman'' and the greatness of worldly life in their eyes.''' ** Al-Adab al-Shar'iyyah (3/240) == Muhammad Taqi al-Din al-Hilali == * The intellect alone cannot establish Tawhid without being illuminated by the light of revelation. Therefore, Allah did not make the intellect alone a proof against the people. Allah, the Most High, said what means: "And We would never punish until We had sent a Messenger" [17:15]. ** Hashiyah 'ala Kitab al-Tawhid (pg. 350), [Al-Baseerah Islamic Center in Plainfield, New Jersey] == Ibn Sa'di == * This religion has not left any good except that it called to it, nor any benefit except that it encouraged it. And it has not left any path that leads to the rectification of religious and worldly affairs except that it urged toward it. Likewise, it has not left any corruption, evil, or harm except that it warned against it. ** Majmu Mu'allafaith (6/166), [Al-Baseerah Islamic Center in Plainfield, New Jersey] [[Category:Islamic Studies]] [[Category:Atcovi's Work]] ksq73t3j5is0t2qbxh3wyhfpgxtwl5y 2844372 2844264 2026-11-04T00:35:56Z Atcovi 276019 /* Sheikh ibn Baz */ +1 2844372 wikitext text/x-wiki {{displaytitle|The Sayings of the Scholars & the Salaf}} '''Aaqib Azeez''' <big>بِسْمِ اللَّهِ الرَّحْمَٰنِ الرَّحِيمِ</big><br> ''In the Name of Allah, the Beneficent, the Merciful'' <big>إنَّ الْحَمْدَ لِلَّهِ نَحْمَدُهُ وَنَسْتَعِينُهُ مَنْ يَهْدِهِ اللَّهُ فَلاَ مُضِلَّ لَهُ وَمَنْ يُضْلِلِ اللَّهُ فَلاَ هَادِيَ لَهُ وَأَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللَّهُ وَحْدَهُ لاَ شَرِيكَ لَهُ وَأَشْهَدُ أَنَّ مُحَمَّدًا عَبْدُهُ وَرَسُولُهُ أَمَّا بَعْدُ</big><br> ''Praise be to Allah, we seek His help. Whomsoever Allah guides will never be led astray, and whomsoever Allah leaves astray, no one can guide. I bear witness that there is none worthy of worship but Allah (alone with no partners) and I bear witness that Muhammad is His slave and Messenger. To proceed:'' Allaah, the Exalted, says: * {''O you who have believed, fear Allaah as He should be feared and do not die except as Muslims (in submission to Him).''} [[https://quran.com/ali-imran/102 Quran 3:102]] * {''O mankind, fear your Lord, Who created you from one soul and created from it its mate and dispersed from both of them many men and women. And fear Allaah, through whom you ask one another, and the wombs. Indeed, Allaah is ever, over you, an Observer.''} [[https://quran.com/an-nisa/1 Quran 4:1]] * {''O you who have believed, fear Allaah and speak words of appropriate justice. He will (then) amend for you your deeds and forgive you your sins. And whoever obeys Allaah and His Messenger has certainly attained a great attainment.''} [[https://quran.com/al-ahzab/70-71 Quran 33:70-71]] This page is intended to compile quotes and beneficial knowledge of Islam through the understanding of the righteous scholars and the Salaf. ==Sheikh ibn Baz== * '''Swearing by anything other than Allah is not permissible.''' Rather the oath should be by Allah Alone, may He be glorified and exalted, because it is proven that the Messenger of Allah (blessings and peace of Allah be upon him) said: “Whoever swears an oath, let him not swear by anything except by Allah, or else let him remain silent.” '''And he said: “Whoever swears by anything other than Allah has associated something with Him (shirk).” Swearing by anything other than Allah is one of the haram actions that constitute kufr (disbelief), but it comes under the heading of minor shirk, unless he meant that this by which he swore was as great as Allah, or that it has control over the universe, or that it deserves to be called upon instead of Allah, in which case it becomes major kufr (al-kufr al-akbar) – Allah forbid.''' So if he said “By the life of So and So” or “By the life of the Messenger” or “By the life of Musa” or “By the life of ‘Isa” or “By my father’s grave”, or he swore by honesty or by the Ka`bah and so on, all of that is swearing by something other than Allah, and all of that is not permissible and is an evil action. What should be done is to not swear by anything except Allah, may He be glorified and exalted, or by one of His attributes, or by one of His names. The Quran is the Word of Allah, and the Quran is one of the attributes of Allah. So if a person says “By the Quran” or “By the life of the Qur’an”, there is nothing wrong with that, because the Quran is the Word of Allah, may He be glorified and exalted.” (Fatawa Nur ‘ala ad-Darb by Ibn Baz, p. 236-237) === Refuting Terrorism === *"From that which is known to everyone who has the slightest bit of common sense is that '''hijacking airplanes and kidnapping children and the like are extremely great crimes''', the world over. Their evil effects are far and wide, as is the great harm and inconvenience caused to the innocent; the total effect of which none can comprehend except Allaah. Likewise, from that which is known is that these crimes are not specific to any particular country over and above another country, nor any specific group over and above another group, rather it encompasses the whole world. There is no doubt about the effect of these crimes; '''so it is obligatory upon the governments and those responsible from amongst the scholars and other than them to afford these issues great concern, and to exert themselves as much as possible in ending this evil.'''" **SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/hijackings-kidnappings-and-bombings-shaykh-ibn-baaz-authentic-translations-com.pdf 1] ==[https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf Sheikh Muqbil Al-Wadi'i]== * "'''To me, reading the ''Sahihayn'' (of al-Bukhari and Muslim) is the sweetest pleasure in the world'''. When I open ''Bukhari'' and read: "'Abd Allah b. Yusuf narrated to us: Malik narrated to us..." or I read ''Imam'' Muslim say: "Yahya b. Yahya narrated to us...." I forget all the concerns of the ''dunya'' (world) and its problems" ** ''Al-Sahih al-Musnad'', SOURCE: [https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf 1] === Refuting Osama bin Laden === * The scholar of Yemen, Shaykh Muqbil Ibn Hādī al-Wādi’ī, said in an interview with the Kuwaiti newspaper, “al-Ra’yu al-'Ām” (no. 11503, 12/19/1998), “'''Here, before Allāh, I completely reject and declare myself free of Bin Laden, for he is an evil threat and tribulation to the (Islamic) nation, and his actions are heinous'''.” And in the same interview, the interviewer said, “It seems Muslims are beginning to face difficulties in western countries because of the bombings that have taken place in almost every place in the world.” Shaykh Muqbil replied: I know. Some brothers from Britain even called me, complaining about the hardships they now face there, asking if it is permissible to publicize their rejection of and disassociation from Osama Bin Laden. '''We told them that we have already rejected and disassociated ourselves from him and his crimes a long time ago. And this current state is evidence that Muslims in the West suffer difficulties because of movements like those of ‘[https://simplysalafiyyah.com/refutations-r.php?id=51&sayyid-qutub%27s-deviations-and-its-insignias-on-the-muslim-brotherhood---part-one The Muslim Brotherhood]’ and others. And from Allāh we ask help.''' ** SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/the-position-of-the-scholars-regarding-osama-bin-laden-various-scholars-authentic-translations-com.pdf 1] ==Sheikh Salih al-Fawzan== *Reflect upon why you were created, and reflect upon where you are heading. For the intelligent person contemplates his present condition and what lies ahead, and prepares for what is before him. This worldly life is a place of passage, and the Hereafter is the place of permanent residence. The worldly life is the abode of action, and the Hereafter is the abode of recompense. Know your reality - may Allah have mercy upon you. '''Let each person reflect within himself: what has he prepared for meeting Allah, the Most High?! So whoever hopes for the meeting of his Lord - then let him do righteous deeds, and not associate anyone in the worship of his Lord.''' **SOURCE: [https://www.youtube.com/shorts/5lfgD0oUKSc 1] ==Sheikh ibn Uthaymeen== == Sheikh Muhammad ibn Abd al-Wahhab == * Abu Hurairah asked the Messenger (ﷺ): "Who will be the most fortunate and be granted your intercession?" The Messenger said: "Whoever professes with sincerity in his heart and declares: 'There is no deity worthy of worship but Allah.'" This initial intercession is only granted by the grace of Allah to the believers. Undoubtedly, those who associate Allah with others will have no share of it. The truth is that intercession is a manifestation of Allah's glory and grace upon the sincere believers. Whoever Allah permits to intercede by good prayer, Allah forgives them their sins. The sole purpose of which is to honor their faith and raise them to a praiseworthy position. However under various circumstances the Qur'an denies intercession that includes any form of shirk. The Messenger ﷺ declared that it is restricted to the people of Tawheed and the believers in the oneness of Allah. ** SOURCE: ''Book of Monotheism'', page 27. == Sheikh ibn al-Qayyim == * The deputies of Iblis on earth are those who discourage people from seeking knowledge and understanding the religion. These individuals are more harmful to people than the devils among the jinn, for they stand between hearts and the guidance of Allah and His path. ** Miftah Dar al-Sa'adah (1/160) [Al-Baseerah Islamic Center in Plainfield, New Jersey] * I heard Shaykh al-Islam ibn Taymiyyah (may Allah have mercy upon him) say: "'''Part of the perfection of ettiquette in salah is for the worshipper to stand before his Lord with his head bowed, lowering his gaze toward the ground and not raising his eyes upward'''." ** Madarij al-Salikin (2/364) [Al-Baseerah Islamic Center in Plainfield, New Jersey] *A scholar said, "To have patience means that one's common sense and religious motives are stronger than one's whims and desires." It is natural for people to have an inclination towards their desires, but common sense and the religious motive should limit that inclination. The two forces at war: sometimes reason and religion win, and sometimes whims and desires prevail. '''The battlefield is the heart of man'''. **''Patience and Gratitude | An abridged translation of 'Uddat as-sabirin wa dhakhirat ash-shakirin by Ibn Qayyim al-Jawziyyah (translated by Nasiruddin al-Khattab)'', page 14-15. == Sheikh ibn Muflih al-Hanbali == * How astonishing it is that so many people wail, mourn and complain bitterly the destruction of their homes, the scarcity of provisions, the harshness of the times, and the rising of prices; '''yet they have never once expressed intense grief over the strangeness of the religion, the disappearance of the Sunan, or the spread of innovations'''. '''Nor have they wept over their own shortcomings. This is due to the weakness of their ''iman'' and the greatness of worldly life in their eyes.''' ** Al-Adab al-Shar'iyyah (3/240) == Muhammad Taqi al-Din al-Hilali == * The intellect alone cannot establish Tawhid without being illuminated by the light of revelation. Therefore, Allah did not make the intellect alone a proof against the people. Allah, the Most High, said what means: "And We would never punish until We had sent a Messenger" [17:15]. ** Hashiyah 'ala Kitab al-Tawhid (pg. 350), [Al-Baseerah Islamic Center in Plainfield, New Jersey] == Ibn Sa'di == * This religion has not left any good except that it called to it, nor any benefit except that it encouraged it. And it has not left any path that leads to the rectification of religious and worldly affairs except that it urged toward it. Likewise, it has not left any corruption, evil, or harm except that it warned against it. ** Majmu Mu'allafaith (6/166), [Al-Baseerah Islamic Center in Plainfield, New Jersey] [[Category:Islamic Studies]] [[Category:Atcovi's Work]] o3pda6c3otriqr70sw4cs6dw958yels 2844373 2844372 2026-11-04T00:38:05Z Atcovi 276019 2844373 wikitext text/x-wiki {{displaytitle|The Sayings of the Scholars & the Salaf}} '''Aaqib Azeez''' <big>بِسْمِ اللَّهِ الرَّحْمَٰنِ الرَّحِيمِ</big><br> ''In the Name of Allah, the Beneficent, the Merciful'' <big>إنَّ الْحَمْدَ لِلَّهِ نَحْمَدُهُ وَنَسْتَعِينُهُ مَنْ يَهْدِهِ اللَّهُ فَلاَ مُضِلَّ لَهُ وَمَنْ يُضْلِلِ اللَّهُ فَلاَ هَادِيَ لَهُ وَأَشْهَدُ أَنْ لاَ إِلَهَ إِلاَّ اللَّهُ وَحْدَهُ لاَ شَرِيكَ لَهُ وَأَشْهَدُ أَنَّ مُحَمَّدًا عَبْدُهُ وَرَسُولُهُ أَمَّا بَعْدُ</big><br> ''Praise be to Allah, we seek His help. Whomsoever Allah guides will never be led astray, and whomsoever Allah leaves astray, no one can guide. I bear witness that there is none worthy of worship but Allah (alone with no partners) and I bear witness that Muhammad is His slave and Messenger. To proceed:'' Allaah, the Exalted, says: * {''O you who have believed, fear Allaah as He should be feared and do not die except as Muslims (in submission to Him).''} [[https://quran.com/ali-imran/102 Quran 3:102]] * {''O mankind, fear your Lord, Who created you from one soul and created from it its mate and dispersed from both of them many men and women. And fear Allaah, through whom you ask one another, and the wombs. Indeed, Allaah is ever, over you, an Observer.''} [[https://quran.com/an-nisa/1 Quran 4:1]] * {''O you who have believed, fear Allaah and speak words of appropriate justice. He will (then) amend for you your deeds and forgive you your sins. And whoever obeys Allaah and His Messenger has certainly attained a great attainment.''} [[https://quran.com/al-ahzab/70-71 Quran 33:70-71]] This page is intended to compile quotes and beneficial knowledge of Islam through the understanding of the righteous scholars and the Salaf. == Abdulaziz ibn Abdullah Al Baz == * '''Swearing by anything other than Allah is not permissible.''' Rather the oath should be by Allah Alone, may He be glorified and exalted, because it is proven that the Messenger of Allah (blessings and peace of Allah be upon him) said: “Whoever swears an oath, let him not swear by anything except by Allah, or else let him remain silent.” '''And he said: “Whoever swears by anything other than Allah has associated something with Him (shirk).” Swearing by anything other than Allah is one of the haram actions that constitute kufr (disbelief), but it comes under the heading of minor shirk, unless he meant that this by which he swore was as great as Allah, or that it has control over the universe, or that it deserves to be called upon instead of Allah, in which case it becomes major kufr (al-kufr al-akbar) – Allah forbid.''' So if he said “By the life of So and So” or “By the life of the Messenger” or “By the life of Musa” or “By the life of ‘Isa” or “By my father’s grave”, or he swore by honesty or by the Ka`bah and so on, all of that is swearing by something other than Allah, and all of that is not permissible and is an evil action. What should be done is to not swear by anything except Allah, may He be glorified and exalted, or by one of His attributes, or by one of His names. The Quran is the Word of Allah, and the Quran is one of the attributes of Allah. So if a person says “By the Quran” or “By the life of the Qur’an”, there is nothing wrong with that, because the Quran is the Word of Allah, may He be glorified and exalted.” (Fatawa Nur ‘ala ad-Darb by Ibn Baz, p. 236-237) === Refuting Terrorism === *"From that which is known to everyone who has the slightest bit of common sense is that '''hijacking airplanes and kidnapping children and the like are extremely great crimes''', the world over. Their evil effects are far and wide, as is the great harm and inconvenience caused to the innocent; the total effect of which none can comprehend except Allaah. Likewise, from that which is known is that these crimes are not specific to any particular country over and above another country, nor any specific group over and above another group, rather it encompasses the whole world. There is no doubt about the effect of these crimes; '''so it is obligatory upon the governments and those responsible from amongst the scholars and other than them to afford these issues great concern, and to exert themselves as much as possible in ending this evil.'''" **SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/hijackings-kidnappings-and-bombings-shaykh-ibn-baaz-authentic-translations-com.pdf 1] == [https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf Muqbil al-Wadi'i] == * "'''To me, reading the ''Sahihayn'' (of al-Bukhari and Muslim) is the sweetest pleasure in the world'''. When I open ''Bukhari'' and read: "'Abd Allah b. Yusuf narrated to us: Malik narrated to us..." or I read ''Imam'' Muslim say: "Yahya b. Yahya narrated to us...." I forget all the concerns of the ''dunya'' (world) and its problems" ** ''Al-Sahih al-Musnad'', SOURCE: [https://www.emaanlibrary.com/wp-content/uploads/2022/01/The-Autobiography-of-the-noble-Shaykh-the-Muhaddith-Abu-%E2%80%98Abd-al-Rahman-Muqbil-b.-Hadi-al-Wadii.pdf 1] === Refuting Osama bin Laden === * The scholar of Yemen, Shaykh Muqbil Ibn Hādī al-Wādi’ī, said in an interview with the Kuwaiti newspaper, “al-Ra’yu al-'Ām” (no. 11503, 12/19/1998), “'''Here, before Allāh, I completely reject and declare myself free of Bin Laden, for he is an evil threat and tribulation to the (Islamic) nation, and his actions are heinous'''.” And in the same interview, the interviewer said, “It seems Muslims are beginning to face difficulties in western countries because of the bombings that have taken place in almost every place in the world.” Shaykh Muqbil replied: I know. Some brothers from Britain even called me, complaining about the hardships they now face there, asking if it is permissible to publicize their rejection of and disassociation from Osama Bin Laden. '''We told them that we have already rejected and disassociated ourselves from him and his crimes a long time ago. And this current state is evidence that Muslims in the West suffer difficulties because of movements like those of ‘[https://simplysalafiyyah.com/refutations-r.php?id=51&sayyid-qutub%27s-deviations-and-its-insignias-on-the-muslim-brotherhood---part-one The Muslim Brotherhood]’ and others. And from Allāh we ask help.''' ** SOURCE: [https://abdurrahman.org/wp-content/uploads/2014/10/the-position-of-the-scholars-regarding-osama-bin-laden-various-scholars-authentic-translations-com.pdf 1] ==Salih al-Fawzan== *Reflect upon why you were created, and reflect upon where you are heading. For the intelligent person contemplates his present condition and what lies ahead, and prepares for what is before him. This worldly life is a place of passage, and the Hereafter is the place of permanent residence. The worldly life is the abode of action, and the Hereafter is the abode of recompense. Know your reality - may Allah have mercy upon you. '''Let each person reflect within himself: what has he prepared for meeting Allah, the Most High?! So whoever hopes for the meeting of his Lord - then let him do righteous deeds, and not associate anyone in the worship of his Lord.''' **SOURCE: [https://www.youtube.com/shorts/5lfgD0oUKSc 1] == Muhammad ibn Sāliḥ al-Uthaymin == == Muhammad ibn Abd al-Wahhab == * Abu Hurairah asked the Messenger (ﷺ): "Who will be the most fortunate and be granted your intercession?" The Messenger said: "Whoever professes with sincerity in his heart and declares: 'There is no deity worthy of worship but Allah.'" This initial intercession is only granted by the grace of Allah to the believers. Undoubtedly, those who associate Allah with others will have no share of it. The truth is that intercession is a manifestation of Allah's glory and grace upon the sincere believers. Whoever Allah permits to intercede by good prayer, Allah forgives them their sins. The sole purpose of which is to honor their faith and raise them to a praiseworthy position. However under various circumstances the Qur'an denies intercession that includes any form of shirk. The Messenger ﷺ declared that it is restricted to the people of Tawheed and the believers in the oneness of Allah. ** SOURCE: ''Book of Monotheism'', page 27. == Ibn Qayyim al-Jawziyya == * The deputies of Iblis on earth are those who discourage people from seeking knowledge and understanding the religion. These individuals are more harmful to people than the devils among the jinn, for they stand between hearts and the guidance of Allah and His path. ** Miftah Dar al-Sa'adah (1/160) [Al-Baseerah Islamic Center in Plainfield, New Jersey] * I heard Shaykh al-Islam ibn Taymiyyah (may Allah have mercy upon him) say: "'''Part of the perfection of ettiquette in salah is for the worshipper to stand before his Lord with his head bowed, lowering his gaze toward the ground and not raising his eyes upward'''." ** Madarij al-Salikin (2/364) [Al-Baseerah Islamic Center in Plainfield, New Jersey] *A scholar said, "To have patience means that one's common sense and religious motives are stronger than one's whims and desires." It is natural for people to have an inclination towards their desires, but common sense and the religious motive should limit that inclination. The two forces at war: sometimes reason and religion win, and sometimes whims and desires prevail. '''The battlefield is the heart of man'''. **''Patience and Gratitude | An abridged translation of 'Uddat as-sabirin wa dhakhirat ash-shakirin by Ibn Qayyim al-Jawziyyah (translated by Nasiruddin al-Khattab)'', page 14-15. == Ibn Muflih al-Hanbali == * How astonishing it is that so many people wail, mourn and complain bitterly the destruction of their homes, the scarcity of provisions, the harshness of the times, and the rising of prices; '''yet they have never once expressed intense grief over the strangeness of the religion, the disappearance of the Sunan, or the spread of innovations'''. '''Nor have they wept over their own shortcomings. This is due to the weakness of their ''iman'' and the greatness of worldly life in their eyes.''' ** Al-Adab al-Shar'iyyah (3/240) == Muhammad Taqi al-Din al-Hilali == * The intellect alone cannot establish Tawhid without being illuminated by the light of revelation. Therefore, Allah did not make the intellect alone a proof against the people. Allah, the Most High, said what means: "And We would never punish until We had sent a Messenger" [17:15]. ** Hashiyah 'ala Kitab al-Tawhid (pg. 350), [Al-Baseerah Islamic Center in Plainfield, New Jersey] == Abdul-Rahman al-Sa'di == * This religion has not left any good except that it called to it, nor any benefit except that it encouraged it. And it has not left any path that leads to the rectification of religious and worldly affairs except that it urged toward it. Likewise, it has not left any corruption, evil, or harm except that it warned against it. ** Majmu Mu'allafaith (6/166), [Al-Baseerah Islamic Center in Plainfield, New Jersey] [[Category:Islamic Studies]] [[Category:Atcovi's Work]] n3jb7djm4rw5moerwyuytn2znnwc5yz 0 332768 2844203 2844067 2026-11-03T14:01:26Z ShakespeareFan00 6645 2844203 wikitext text/x-wiki [[File:Ascomycota_collage.jpg|thumb|300x300px|Diversity of Ascomycetes.]] ==Ascomycetes Information== Name Meaning: Bladder fungus English Common Name: Ascomycetes, sac fungi Major distinguishing characteristics: Tend to have fruiting bodies (ascocarp). Filamentous, producing hyphae separated by septa. Can reproduce asexually. Approximate number of species described: 64,000 ==Reproduction== Ascomycetes are ''spore shooters''. They're fungi which produce microscopic spores inside special, elongated cells or sacs, known as asci, which give the group its name. ==Taxonomy== There are 3 subphyla in this phylum: *Pezizomycotina *Saccharomycotina *Taphrinomycotina ==Phylogeny== {{Clade |style=font-size:100%; line-height:80% |label1='''Ascomycota''' |1={{clade |label1=Taphrinomycotina |1={{clade |1={{clade |1='' Neolecta'' [[File:Neolecta irregularis 76559.jpg|60px]] |2=Taphrinales [[File:Taphrina deformans 1.jpg|60px]] }} |label2=Schizosaccharomyceta |2={{clade |1='' Archaeorhizomyces'' [[File:Archaeorhizomycetes.jpg|60px]] |2={{clade |1='' Pneumocystis'' [[File:Pneumocystis_carinii_01.jpg|60px]] |2= Schizosaccharomycetales [[File:Fission_yeast.jpg|60px]] }} }} }} |label2=Saccharomyceta |2={{clade |label1=Saccharomycotina |1=Saccharomycetes [[File:S_cerevisiae_under_DIC_microscopy.jpg|60px]] |label2=Pezizomycotina |2={{clade |3=?Thelocarpaceae [[File:Thelocarpon_laureri_1645882100.jpg|60px]] |1=?''Vezdaea'' [[File:Vezdaea_retigera_TSB002978.jpg|60px]] |2=?''Lahmia'' |5=?Triblidiales |4=Orbiliaceae [[File:Orbilia_xanthostigma_(Fr.)_Fr_718015.jpg|60px]] |6={{clade |1=Pezizales [[File:Scarlet_elf_cap_cadnant_dingle.jpg|60px]] |label2=Leotiomyceta |2={{clade |label1=Sordariomyceta |1={{clade |1=Xylonomycetes [[File:Xylona_heveae.jpg|60px]] |2={{clade |1=Geoglossaceae [[File:2011-09-16_Geoglossum_glutinosum_Pers_192121.jpg|60px]] |2={{clade |1=Leotiomycetes [[File:Leotia_viscosa_15412.jpg|60px]] |2={{clade |1=Laboulbeniomycetes [[File:Laboulbeniales_on_Harmonia_axyridis_(7211939256).jpg|60px]] |2=Sordariomycetes [[File:Hypomyces_lactifluorum.JPG|60px]] }} }} }} }} |label2=Dothideomyceta |2={{clade |1={{clade |1=Coniocybaceae [[File:2011-06-21_Chaenotheca_brunneola_(Ach.)_Müll._Arg_237882.jpg|60px]] |2=Lichinales [[File:Lichina_pygmaea_Î_aux_Vaches_2008-11-26.jpg|60px]] }} |2={{clade |1={{clade |1=Eurotiomycetes [[File:Verrucaria_nigrescens.jpg|60px]] |2=Lecanoromycetes [[File:Xanthomendoza_hasseana_82294.jpg|60px]] }} |2={{clade |1=Collemopsidiomycetes [[File:2012-06-19 Collemopsidium Nyl 229258.jpg|60px]] |2={{clade |1=Arthoniomycetes [[File:Arthonia_radiata.jpg|60px]] |2=Dothideomycetes [[File:Apple_scab_SEM.jpg|60px]] }} }} }} }} }} }} }} }} }} }} ==References== [[Wikipedia:Ascomycota]] [[Category:Fungi]] [[Category:Mycology]] [[Category:Fungus phyla]] [[Category:Biology]] [[Category:Mushroom]] 4nu47nxwjgn0xlfrllbhlqjtjbp3a92 0 332769 2844258 2843939 2026-11-03T17:05:59Z Ireicher2 2797952 Example of heading 2844258 wikitext text/x-wiki The Technology Behind Digital Image Capture == Introduction == People take pictures, record videos, make digital art and post images online using digital cameras in the contemporary world. Digital cameras differ from the traditional film cameras in that the former use sensors that transform light to digital information. My interest in photography and the digital cameras used in my classes is why I have chosen this topic. Despite its simplicity, digital photography involves multiple technologies that work together to take a photograph. In this paper, I discuss how digital cameras record light, how the sensors function, the digital image processing and how the digital photograph is saved. I also compare digital photography with traditional photography. 1. How Digital Cameras Capture Light Photography starts by collecting light from a particular scene. This light passes through the camera lens and falls on the image sensor. <ref name="MIT">Massachusetts Institute of Technology, "Digital Cameras."</ref>This helps decide which portions of the scene will look sharp and how much of the scene can be captured in the photo. There are three basic parameters for the digital camera: aperture, shutter speed, and ISO. Aperture helps define how big an opening in the lens will be. Shutter speed defines the duration of the exposure. ISO parameter changes the sensitivity and performance of the camera. These parameters help the photographer to have a good control of the exposure. These parameters influence the picture in some way as well. Large aperture allows creating shallow depth of field when the subject looks sharp and the background is blurred. Fast shutter speed allows capturing all movements and slow shutter speed allows creating motion blur. Understanding of all these parameters allows making creative pictures rather than using automatic camera functions only. 2. Digital Image Sensors The image sensor is an important component of a digital camera. The sensor consists of multiple photosites which become sensitive to light and generate electrical signals when exposed to light. These signals are further transformed by the computer program running inside the camera into digital information.<ref name="Quintana">Quintana et al., "Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics," Óptica Pura y Aplicada (2020).</ref> There are two types of sensors used in cameras: CCD and CMOS. CCD sensors are the charge-coupled devices. The difference between these sensors is the way they read the electrical signals. In the CCD sensors, the signal moves across the whole surface of the sensor before reading.<ref name="Fossum">Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen, "Digital Image Sensor Evolution and New Frontiers," Annual Review of Vision Science (2024).</ref> Most CMOS sensors read the information using the electronic circuits in or near the pixels. CMOS sensors are widely used nowadays due to their ability to efficiently read out the signal. The image quality depends on the numerous elements apart from the sensor. These include the sensor size, pixel structure, lighting conditions, and processing software. The camera with good low light performance can record sufficient image information in dark conditions. However, all cameras have some limitations. 3. Image Processing The process of image processing transforms the measurements of the image sensors to a viewable image. The sensors do not always generate the viewable digital image straight away. Thus, it is necessary to use the software running in the camera in order to create a photograph. The majority of cameras use the color filter array to collect information about the colors of the pixels. This information is then estimated using the process called demosaicing. Other steps in the image processing can be white balance, noise reduction, sharpening, and other corrections of brightness and contrast. The white balance corrects the colors of the photograph to make them natural. The noise reduction tries to get rid of noise or artifacts in the image. The sharpening enhances the edges. The process of image processing is important, because the same scene may be captured in completely different way depending on the camera settings and the image processing algorithm. Moreover, photographers are able to post-process the images using software like Adobe Lightroom to change the exposure, colors, contrasts, etc. 4. Digital Image Storage Once the image was processed, the digital photograph is saved as the digital file containing the information represented in binary form, which can be further processed by computers. Digital photographs can be saved in the storage media and later copied to the computer or mobile devices. JPEG and RAW are the two most commonly used image formats. The JPEG files are popular due to their compatibility with various applications and the smaller size due to the lossy compression – some information is being removed. The camera processes the image before saving it in JPEG format. In contrast, the RAW files contain much information originally received from the sensor and give the photographer more possibilities when editing the photographs. They also take more storage space. The photographer can adjust the exposure, white balance, and other parameters.<ref name="OpenLearn">The Open University, "An Introduction to Computers and Computer Systems: Digital Camera," OpenLearn.</ref> 5. Digital Photography Compared with Film Photography Both digital and film photography use the lens to focus the light, but they use different technologies to record the images.<ref name="MIT2">Massachusetts Institute of Technology, "Digital Cameras."</ref> In the film cameras, there is the light-sensitive film, which undergoes the chemical changes when it is exposed to the light, and thus, the photograph can be developed. The digital cameras use electronic sensors to convert the light to the electrical signals and digital information.<ref name="MIT3">Massachusetts Institute of Technology, "Digital Cameras."</ref> One of the advantages of the digital photography is that the photographer can review his or her pictures immediately, change the settings, take another photograph and then transfer the files to the image processing software. The digital files are easy to duplicate, organize and share. The film photography has the particular qualities and creative opportunities as well. For example, the photographer has to take into account the type of film and the number of exposures he or she can make. Neither technology is automatically better than another one. The photographer can use either of the methods to capture the image depending on the creative goal. 6. How Digital Image Capture Has Changed Photography The digital photography has revolutionized the photography industry. Before, the photographers had to wait until the film was developed before they could see the results. Now, they can instantly see how the picture looks and make the necessary changes while taking the photograph. Digital photography has also facilitated the image editing process as photographers can use the image processing software to correct the color, brightness, contrast and even the composition. Moreover, the digital photographs can be easily uploaded to websites and social media and seen in any part of the world. These technologies are widely used in such fields as filmmaking, journalism, scientific research and digital art. Filmmakers can use the digital cameras to record the moving pictures, while the scientists can use the imaging systems to record the images of the objects and phenomena that cannot be observed directly. However, the digital technology also presents certain challenges since the photographs can be edited extensively and the images can be modified and presented without any original context. Conclusion The digital image capture technology uses the combination of optics, electronics, software and digital storage. The lens focuses the light onto the sensor, which converts the light to the electrical signals, and the computer processes the information to create the image. Then the image is saved in digital format, such as JPEG or RAW. Thus, understanding these technologies allows to know more about the exposure, image quality, editing of the image. It also shows that capturing the digital photograph is not only pressing the button. == References == # Massachusetts Institute of Technology. ''Digital Cameras''. MIT OpenCourseWare. <nowiki>https://ocw.mit.edu/courses/res-2-006-girls-who-build-cameras-summer-2016/pages/digital-cameras/</nowiki> # Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen. ''Digital Image Sensor Evolution and New Frontiers''. Annual Review of Vision Science, 2024. <nowiki>https://doi.org/10.1146/annurev-vision-101322-105538</nowiki> # Quintana, Xabier, et al. ''Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics''. Óptica Pura y Aplicada, 2020. <nowiki>https://doi.org/10.7149/OPA.53.1.51041</nowiki> # The Open University. ''An Introduction to Computers and Computer Systems: Digital Camera''. OpenLearn. <nowiki>https://www.open.edu/openlearn/mod/oucontent/view.php?id=112559&section=_unit6.4</nowiki> {{BookCat}} kxym4a73fy1d6xzvxte3ilptu2zu6r6 2844259 2844258 2026-11-03T17:06:22Z Ireicher2 2797952 2844259 wikitext text/x-wiki == Introduction == People take pictures, record videos, make digital art and post images online using digital cameras in the contemporary world. Digital cameras differ from the traditional film cameras in that the former use sensors that transform light to digital information. My interest in photography and the digital cameras used in my classes is why I have chosen this topic. Despite its simplicity, digital photography involves multiple technologies that work together to take a photograph. In this paper, I discuss how digital cameras record light, how the sensors function, the digital image processing and how the digital photograph is saved. I also compare digital photography with traditional photography. 1. How Digital Cameras Capture Light Photography starts by collecting light from a particular scene. This light passes through the camera lens and falls on the image sensor. <ref name="MIT">Massachusetts Institute of Technology, "Digital Cameras."</ref>This helps decide which portions of the scene will look sharp and how much of the scene can be captured in the photo. There are three basic parameters for the digital camera: aperture, shutter speed, and ISO. Aperture helps define how big an opening in the lens will be. Shutter speed defines the duration of the exposure. ISO parameter changes the sensitivity and performance of the camera. These parameters help the photographer to have a good control of the exposure. These parameters influence the picture in some way as well. Large aperture allows creating shallow depth of field when the subject looks sharp and the background is blurred. Fast shutter speed allows capturing all movements and slow shutter speed allows creating motion blur. Understanding of all these parameters allows making creative pictures rather than using automatic camera functions only. 2. Digital Image Sensors The image sensor is an important component of a digital camera. The sensor consists of multiple photosites which become sensitive to light and generate electrical signals when exposed to light. These signals are further transformed by the computer program running inside the camera into digital information.<ref name="Quintana">Quintana et al., "Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics," Óptica Pura y Aplicada (2020).</ref> There are two types of sensors used in cameras: CCD and CMOS. CCD sensors are the charge-coupled devices. The difference between these sensors is the way they read the electrical signals. In the CCD sensors, the signal moves across the whole surface of the sensor before reading.<ref name="Fossum">Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen, "Digital Image Sensor Evolution and New Frontiers," Annual Review of Vision Science (2024).</ref> Most CMOS sensors read the information using the electronic circuits in or near the pixels. CMOS sensors are widely used nowadays due to their ability to efficiently read out the signal. The image quality depends on the numerous elements apart from the sensor. These include the sensor size, pixel structure, lighting conditions, and processing software. The camera with good low light performance can record sufficient image information in dark conditions. However, all cameras have some limitations. 3. Image Processing The process of image processing transforms the measurements of the image sensors to a viewable image. The sensors do not always generate the viewable digital image straight away. Thus, it is necessary to use the software running in the camera in order to create a photograph. The majority of cameras use the color filter array to collect information about the colors of the pixels. This information is then estimated using the process called demosaicing. Other steps in the image processing can be white balance, noise reduction, sharpening, and other corrections of brightness and contrast. The white balance corrects the colors of the photograph to make them natural. The noise reduction tries to get rid of noise or artifacts in the image. The sharpening enhances the edges. The process of image processing is important, because the same scene may be captured in completely different way depending on the camera settings and the image processing algorithm. Moreover, photographers are able to post-process the images using software like Adobe Lightroom to change the exposure, colors, contrasts, etc. 4. Digital Image Storage Once the image was processed, the digital photograph is saved as the digital file containing the information represented in binary form, which can be further processed by computers. Digital photographs can be saved in the storage media and later copied to the computer or mobile devices. JPEG and RAW are the two most commonly used image formats. The JPEG files are popular due to their compatibility with various applications and the smaller size due to the lossy compression – some information is being removed. The camera processes the image before saving it in JPEG format. In contrast, the RAW files contain much information originally received from the sensor and give the photographer more possibilities when editing the photographs. They also take more storage space. The photographer can adjust the exposure, white balance, and other parameters.<ref name="OpenLearn">The Open University, "An Introduction to Computers and Computer Systems: Digital Camera," OpenLearn.</ref> 5. Digital Photography Compared with Film Photography Both digital and film photography use the lens to focus the light, but they use different technologies to record the images.<ref name="MIT2">Massachusetts Institute of Technology, "Digital Cameras."</ref> In the film cameras, there is the light-sensitive film, which undergoes the chemical changes when it is exposed to the light, and thus, the photograph can be developed. The digital cameras use electronic sensors to convert the light to the electrical signals and digital information.<ref name="MIT3">Massachusetts Institute of Technology, "Digital Cameras."</ref> One of the advantages of the digital photography is that the photographer can review his or her pictures immediately, change the settings, take another photograph and then transfer the files to the image processing software. The digital files are easy to duplicate, organize and share. The film photography has the particular qualities and creative opportunities as well. For example, the photographer has to take into account the type of film and the number of exposures he or she can make. Neither technology is automatically better than another one. The photographer can use either of the methods to capture the image depending on the creative goal. 6. How Digital Image Capture Has Changed Photography The digital photography has revolutionized the photography industry. Before, the photographers had to wait until the film was developed before they could see the results. Now, they can instantly see how the picture looks and make the necessary changes while taking the photograph. Digital photography has also facilitated the image editing process as photographers can use the image processing software to correct the color, brightness, contrast and even the composition. Moreover, the digital photographs can be easily uploaded to websites and social media and seen in any part of the world. These technologies are widely used in such fields as filmmaking, journalism, scientific research and digital art. Filmmakers can use the digital cameras to record the moving pictures, while the scientists can use the imaging systems to record the images of the objects and phenomena that cannot be observed directly. However, the digital technology also presents certain challenges since the photographs can be edited extensively and the images can be modified and presented without any original context. Conclusion The digital image capture technology uses the combination of optics, electronics, software and digital storage. The lens focuses the light onto the sensor, which converts the light to the electrical signals, and the computer processes the information to create the image. Then the image is saved in digital format, such as JPEG or RAW. Thus, understanding these technologies allows to know more about the exposure, image quality, editing of the image. It also shows that capturing the digital photograph is not only pressing the button. == References == # Massachusetts Institute of Technology. ''Digital Cameras''. MIT OpenCourseWare. <nowiki>https://ocw.mit.edu/courses/res-2-006-girls-who-build-cameras-summer-2016/pages/digital-cameras/</nowiki> # Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen. ''Digital Image Sensor Evolution and New Frontiers''. Annual Review of Vision Science, 2024. <nowiki>https://doi.org/10.1146/annurev-vision-101322-105538</nowiki> # Quintana, Xabier, et al. ''Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics''. Óptica Pura y Aplicada, 2020. <nowiki>https://doi.org/10.7149/OPA.53.1.51041</nowiki> # The Open University. ''An Introduction to Computers and Computer Systems: Digital Camera''. OpenLearn. <nowiki>https://www.open.edu/openlearn/mod/oucontent/view.php?id=112559&section=_unit6.4</nowiki> {{BookCat}} nuxkjxqs44r887d8881gikmgu576bv7 2844260 2844259 2026-11-03T17:06:49Z Ireicher2 2797952 Subheader 2844260 wikitext text/x-wiki == Introduction == People take pictures, record videos, make digital art and post images online using digital cameras in the contemporary world. Digital cameras differ from the traditional film cameras in that the former use sensors that transform light to digital information. My interest in photography and the digital cameras used in my classes is why I have chosen this topic. Despite its simplicity, digital photography involves multiple technologies that work together to take a photograph. In this paper, I discuss how digital cameras record light, how the sensors function, the digital image processing and how the digital photograph is saved. I also compare digital photography with traditional photography. === How Digital Cameras Capture Light === Photography starts by collecting light from a particular scene. This light passes through the camera lens and falls on the image sensor. <ref name="MIT">Massachusetts Institute of Technology, "Digital Cameras."</ref>This helps decide which portions of the scene will look sharp and how much of the scene can be captured in the photo. There are three basic parameters for the digital camera: aperture, shutter speed, and ISO. Aperture helps define how big an opening in the lens will be. Shutter speed defines the duration of the exposure. ISO parameter changes the sensitivity and performance of the camera. These parameters help the photographer to have a good control of the exposure. These parameters influence the picture in some way as well. Large aperture allows creating shallow depth of field when the subject looks sharp and the background is blurred. Fast shutter speed allows capturing all movements and slow shutter speed allows creating motion blur. Understanding of all these parameters allows making creative pictures rather than using automatic camera functions only. 2. Digital Image Sensors The image sensor is an important component of a digital camera. The sensor consists of multiple photosites which become sensitive to light and generate electrical signals when exposed to light. These signals are further transformed by the computer program running inside the camera into digital information.<ref name="Quintana">Quintana et al., "Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics," Óptica Pura y Aplicada (2020).</ref> There are two types of sensors used in cameras: CCD and CMOS. CCD sensors are the charge-coupled devices. The difference between these sensors is the way they read the electrical signals. In the CCD sensors, the signal moves across the whole surface of the sensor before reading.<ref name="Fossum">Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen, "Digital Image Sensor Evolution and New Frontiers," Annual Review of Vision Science (2024).</ref> Most CMOS sensors read the information using the electronic circuits in or near the pixels. CMOS sensors are widely used nowadays due to their ability to efficiently read out the signal. The image quality depends on the numerous elements apart from the sensor. These include the sensor size, pixel structure, lighting conditions, and processing software. The camera with good low light performance can record sufficient image information in dark conditions. However, all cameras have some limitations. 3. Image Processing The process of image processing transforms the measurements of the image sensors to a viewable image. The sensors do not always generate the viewable digital image straight away. Thus, it is necessary to use the software running in the camera in order to create a photograph. The majority of cameras use the color filter array to collect information about the colors of the pixels. This information is then estimated using the process called demosaicing. Other steps in the image processing can be white balance, noise reduction, sharpening, and other corrections of brightness and contrast. The white balance corrects the colors of the photograph to make them natural. The noise reduction tries to get rid of noise or artifacts in the image. The sharpening enhances the edges. The process of image processing is important, because the same scene may be captured in completely different way depending on the camera settings and the image processing algorithm. Moreover, photographers are able to post-process the images using software like Adobe Lightroom to change the exposure, colors, contrasts, etc. 4. Digital Image Storage Once the image was processed, the digital photograph is saved as the digital file containing the information represented in binary form, which can be further processed by computers. Digital photographs can be saved in the storage media and later copied to the computer or mobile devices. JPEG and RAW are the two most commonly used image formats. The JPEG files are popular due to their compatibility with various applications and the smaller size due to the lossy compression – some information is being removed. The camera processes the image before saving it in JPEG format. In contrast, the RAW files contain much information originally received from the sensor and give the photographer more possibilities when editing the photographs. They also take more storage space. The photographer can adjust the exposure, white balance, and other parameters.<ref name="OpenLearn">The Open University, "An Introduction to Computers and Computer Systems: Digital Camera," OpenLearn.</ref> 5. Digital Photography Compared with Film Photography Both digital and film photography use the lens to focus the light, but they use different technologies to record the images.<ref name="MIT2">Massachusetts Institute of Technology, "Digital Cameras."</ref> In the film cameras, there is the light-sensitive film, which undergoes the chemical changes when it is exposed to the light, and thus, the photograph can be developed. The digital cameras use electronic sensors to convert the light to the electrical signals and digital information.<ref name="MIT3">Massachusetts Institute of Technology, "Digital Cameras."</ref> One of the advantages of the digital photography is that the photographer can review his or her pictures immediately, change the settings, take another photograph and then transfer the files to the image processing software. The digital files are easy to duplicate, organize and share. The film photography has the particular qualities and creative opportunities as well. For example, the photographer has to take into account the type of film and the number of exposures he or she can make. Neither technology is automatically better than another one. The photographer can use either of the methods to capture the image depending on the creative goal. 6. How Digital Image Capture Has Changed Photography The digital photography has revolutionized the photography industry. Before, the photographers had to wait until the film was developed before they could see the results. Now, they can instantly see how the picture looks and make the necessary changes while taking the photograph. Digital photography has also facilitated the image editing process as photographers can use the image processing software to correct the color, brightness, contrast and even the composition. Moreover, the digital photographs can be easily uploaded to websites and social media and seen in any part of the world. These technologies are widely used in such fields as filmmaking, journalism, scientific research and digital art. Filmmakers can use the digital cameras to record the moving pictures, while the scientists can use the imaging systems to record the images of the objects and phenomena that cannot be observed directly. However, the digital technology also presents certain challenges since the photographs can be edited extensively and the images can be modified and presented without any original context. Conclusion The digital image capture technology uses the combination of optics, electronics, software and digital storage. The lens focuses the light onto the sensor, which converts the light to the electrical signals, and the computer processes the information to create the image. Then the image is saved in digital format, such as JPEG or RAW. Thus, understanding these technologies allows to know more about the exposure, image quality, editing of the image. It also shows that capturing the digital photograph is not only pressing the button. == References == # Massachusetts Institute of Technology. ''Digital Cameras''. MIT OpenCourseWare. <nowiki>https://ocw.mit.edu/courses/res-2-006-girls-who-build-cameras-summer-2016/pages/digital-cameras/</nowiki> # Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen. ''Digital Image Sensor Evolution and New Frontiers''. Annual Review of Vision Science, 2024. <nowiki>https://doi.org/10.1146/annurev-vision-101322-105538</nowiki> # Quintana, Xabier, et al. ''Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics''. Óptica Pura y Aplicada, 2020. <nowiki>https://doi.org/10.7149/OPA.53.1.51041</nowiki> # The Open University. ''An Introduction to Computers and Computer Systems: Digital Camera''. OpenLearn. <nowiki>https://www.open.edu/openlearn/mod/oucontent/view.php?id=112559&section=_unit6.4</nowiki> {{BookCat}} 5ej0oolt9miu8mkvxyb3eg3tkfkeluo 2844262 2844260 2026-11-03T17:08:59Z Ireicher2 2797952 2844262 wikitext text/x-wiki == Introduction == People take pictures, record videos, make digital art and post images online using digital cameras in the contemporary world. [[wikipedia:Digital_camera|Digital cameras]] differ from the traditional film cameras in that the former use sensors that transform light to digital information. My interest in photography and the digital cameras used in my classes is why I have chosen this topic. Despite its simplicity, digital photography involves multiple technologies that work together to take a photograph. In this paper, I discuss how digital cameras record light, how the sensors function, the digital image processing and how the digital photograph is saved. I also compare digital photography with traditional photography. === How Digital Cameras Capture Light === Photography starts by collecting light from a particular scene. This light passes through the camera lens and falls on the image sensor. <ref name="MIT">Massachusetts Institute of Technology, "Digital Cameras."</ref>This helps decide which portions of the scene will look sharp and how much of the scene can be captured in the photo. There are three basic parameters for the digital camera: aperture, shutter speed, and ISO. Aperture helps define how big an opening in the lens will be. Shutter speed defines the duration of the exposure. ISO parameter changes the sensitivity and performance of the camera. These parameters help the photographer to have a good control of the exposure. These parameters influence the picture in some way as well. Large aperture allows creating shallow depth of field when the subject looks sharp and the background is blurred. Fast shutter speed allows capturing all movements and slow shutter speed allows creating motion blur. Understanding of all these parameters allows making creative pictures rather than using automatic camera functions only. 2. Digital Image Sensors The image sensor is an important component of a digital camera. The sensor consists of multiple photosites which become sensitive to light and generate electrical signals when exposed to light. These signals are further transformed by the computer program running inside the camera into digital information.<ref name="Quintana">Quintana et al., "Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics," Óptica Pura y Aplicada (2020).</ref> There are two types of sensors used in cameras: CCD and CMOS. CCD sensors are the charge-coupled devices. The difference between these sensors is the way they read the electrical signals. In the CCD sensors, the signal moves across the whole surface of the sensor before reading.<ref name="Fossum">Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen, "Digital Image Sensor Evolution and New Frontiers," Annual Review of Vision Science (2024).</ref> Most CMOS sensors read the information using the electronic circuits in or near the pixels. CMOS sensors are widely used nowadays due to their ability to efficiently read out the signal. The image quality depends on the numerous elements apart from the sensor. These include the sensor size, pixel structure, lighting conditions, and processing software. The camera with good low light performance can record sufficient image information in dark conditions. However, all cameras have some limitations. 3. Image Processing The process of image processing transforms the measurements of the image sensors to a viewable image. The sensors do not always generate the viewable digital image straight away. Thus, it is necessary to use the software running in the camera in order to create a photograph. The majority of cameras use the color filter array to collect information about the colors of the pixels. This information is then estimated using the process called demosaicing. Other steps in the image processing can be white balance, noise reduction, sharpening, and other corrections of brightness and contrast. The white balance corrects the colors of the photograph to make them natural. The noise reduction tries to get rid of noise or artifacts in the image. The sharpening enhances the edges. The process of image processing is important, because the same scene may be captured in completely different way depending on the camera settings and the image processing algorithm. Moreover, photographers are able to post-process the images using software like Adobe Lightroom to change the exposure, colors, contrasts, etc. 4. Digital Image Storage Once the image was processed, the digital photograph is saved as the digital file containing the information represented in binary form, which can be further processed by computers. Digital photographs can be saved in the storage media and later copied to the computer or mobile devices. JPEG and RAW are the two most commonly used image formats. The JPEG files are popular due to their compatibility with various applications and the smaller size due to the lossy compression – some information is being removed. The camera processes the image before saving it in JPEG format. In contrast, the RAW files contain much information originally received from the sensor and give the photographer more possibilities when editing the photographs. They also take more storage space. The photographer can adjust the exposure, white balance, and other parameters.<ref name="OpenLearn">The Open University, "An Introduction to Computers and Computer Systems: Digital Camera," OpenLearn.</ref> 5. Digital Photography Compared with Film Photography Both digital and film photography use the lens to focus the light, but they use different technologies to record the images.<ref name="MIT2">Massachusetts Institute of Technology, "Digital Cameras."</ref> In the film cameras, there is the light-sensitive film, which undergoes the chemical changes when it is exposed to the light, and thus, the photograph can be developed. The digital cameras use electronic sensors to convert the light to the electrical signals and digital information.<ref name="MIT3">Massachusetts Institute of Technology, "Digital Cameras."</ref> One of the advantages of the digital photography is that the photographer can review his or her pictures immediately, change the settings, take another photograph and then transfer the files to the image processing software. The digital files are easy to duplicate, organize and share. The film photography has the particular qualities and creative opportunities as well. For example, the photographer has to take into account the type of film and the number of exposures he or she can make. Neither technology is automatically better than another one. The photographer can use either of the methods to capture the image depending on the creative goal. 6. How Digital Image Capture Has Changed Photography The digital photography has revolutionized the photography industry. Before, the photographers had to wait until the film was developed before they could see the results. Now, they can instantly see how the picture looks and make the necessary changes while taking the photograph. Digital photography has also facilitated the image editing process as photographers can use the image processing software to correct the color, brightness, contrast and even the composition. Moreover, the digital photographs can be easily uploaded to websites and social media and seen in any part of the world. These technologies are widely used in such fields as filmmaking, journalism, scientific research and digital art. Filmmakers can use the digital cameras to record the moving pictures, while the scientists can use the imaging systems to record the images of the objects and phenomena that cannot be observed directly. However, the digital technology also presents certain challenges since the photographs can be edited extensively and the images can be modified and presented without any original context. Conclusion The digital image capture technology uses the combination of optics, electronics, software and digital storage. The lens focuses the light onto the sensor, which converts the light to the electrical signals, and the computer processes the information to create the image. Then the image is saved in digital format, such as JPEG or RAW. Thus, understanding these technologies allows to know more about the exposure, image quality, editing of the image. It also shows that capturing the digital photograph is not only pressing the button. == References == # Massachusetts Institute of Technology. ''Digital Cameras''. MIT OpenCourseWare. <nowiki>https://ocw.mit.edu/courses/res-2-006-girls-who-build-cameras-summer-2016/pages/digital-cameras/</nowiki> # Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen. ''Digital Image Sensor Evolution and New Frontiers''. Annual Review of Vision Science, 2024. <nowiki>https://doi.org/10.1146/annurev-vision-101322-105538</nowiki> # Quintana, Xabier, et al. ''Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics''. Óptica Pura y Aplicada, 2020. <nowiki>https://doi.org/10.7149/OPA.53.1.51041</nowiki> # The Open University. ''An Introduction to Computers and Computer Systems: Digital Camera''. OpenLearn. <nowiki>https://www.open.edu/openlearn/mod/oucontent/view.php?id=112559&section=_unit6.4</nowiki> {{BookCat}} t3l7bft9e6z38q8u799oh4mrjgvlt8r 2844266 2844262 2026-11-03T17:11:58Z Ireicher2 2797952 /* Introduction */ 2844266 wikitext text/x-wiki == Introduction == People take pictures, record videos, make digital art and post images online using digital cameras in the contemporary world. [[wikipedia:Digital_camera|Digital cameras]] differ from the traditional film cameras in that the former use sensors that transform light to digital information. My interest in photography and the digital cameras used in my classes is why I have chosen this topic. Despite its simplicity, digital photography involves multiple technologies that work together to take a photograph. In this paper, I discuss how digital cameras record light, how the sensors function, the digital image processing and how the digital photograph is saved. I also compare digital photography with traditional photography. [[File:A set of five digital cameras..jpg|thumb|A set of five digital cameras.]] === How Digital Cameras Capture Light === Photography starts by collecting light from a particular scene. This light passes through the camera lens and falls on the image sensor. <ref name="MIT">Massachusetts Institute of Technology, "Digital Cameras."</ref>This helps decide which portions of the scene will look sharp and how much of the scene can be captured in the photo. There are three basic parameters for the digital camera: aperture, shutter speed, and ISO. Aperture helps define how big an opening in the lens will be. Shutter speed defines the duration of the exposure. ISO parameter changes the sensitivity and performance of the camera. These parameters help the photographer to have a good control of the exposure. These parameters influence the picture in some way as well. Large aperture allows creating shallow depth of field when the subject looks sharp and the background is blurred. Fast shutter speed allows capturing all movements and slow shutter speed allows creating motion blur. Understanding of all these parameters allows making creative pictures rather than using automatic camera functions only. 2. Digital Image Sensors The image sensor is an important component of a digital camera. The sensor consists of multiple photosites which become sensitive to light and generate electrical signals when exposed to light. These signals are further transformed by the computer program running inside the camera into digital information.<ref name="Quintana">Quintana et al., "Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics," Óptica Pura y Aplicada (2020).</ref> There are two types of sensors used in cameras: CCD and CMOS. CCD sensors are the charge-coupled devices. The difference between these sensors is the way they read the electrical signals. In the CCD sensors, the signal moves across the whole surface of the sensor before reading.<ref name="Fossum">Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen, "Digital Image Sensor Evolution and New Frontiers," Annual Review of Vision Science (2024).</ref> Most CMOS sensors read the information using the electronic circuits in or near the pixels. CMOS sensors are widely used nowadays due to their ability to efficiently read out the signal. The image quality depends on the numerous elements apart from the sensor. These include the sensor size, pixel structure, lighting conditions, and processing software. The camera with good low light performance can record sufficient image information in dark conditions. However, all cameras have some limitations. 3. Image Processing The process of image processing transforms the measurements of the image sensors to a viewable image. The sensors do not always generate the viewable digital image straight away. Thus, it is necessary to use the software running in the camera in order to create a photograph. The majority of cameras use the color filter array to collect information about the colors of the pixels. This information is then estimated using the process called demosaicing. Other steps in the image processing can be white balance, noise reduction, sharpening, and other corrections of brightness and contrast. The white balance corrects the colors of the photograph to make them natural. The noise reduction tries to get rid of noise or artifacts in the image. The sharpening enhances the edges. The process of image processing is important, because the same scene may be captured in completely different way depending on the camera settings and the image processing algorithm. Moreover, photographers are able to post-process the images using software like Adobe Lightroom to change the exposure, colors, contrasts, etc. 4. Digital Image Storage Once the image was processed, the digital photograph is saved as the digital file containing the information represented in binary form, which can be further processed by computers. Digital photographs can be saved in the storage media and later copied to the computer or mobile devices. JPEG and RAW are the two most commonly used image formats. The JPEG files are popular due to their compatibility with various applications and the smaller size due to the lossy compression – some information is being removed. The camera processes the image before saving it in JPEG format. In contrast, the RAW files contain much information originally received from the sensor and give the photographer more possibilities when editing the photographs. They also take more storage space. The photographer can adjust the exposure, white balance, and other parameters.<ref name="OpenLearn">The Open University, "An Introduction to Computers and Computer Systems: Digital Camera," OpenLearn.</ref> 5. Digital Photography Compared with Film Photography Both digital and film photography use the lens to focus the light, but they use different technologies to record the images.<ref name="MIT2">Massachusetts Institute of Technology, "Digital Cameras."</ref> In the film cameras, there is the light-sensitive film, which undergoes the chemical changes when it is exposed to the light, and thus, the photograph can be developed. The digital cameras use electronic sensors to convert the light to the electrical signals and digital information.<ref name="MIT3">Massachusetts Institute of Technology, "Digital Cameras."</ref> One of the advantages of the digital photography is that the photographer can review his or her pictures immediately, change the settings, take another photograph and then transfer the files to the image processing software. The digital files are easy to duplicate, organize and share. The film photography has the particular qualities and creative opportunities as well. For example, the photographer has to take into account the type of film and the number of exposures he or she can make. Neither technology is automatically better than another one. The photographer can use either of the methods to capture the image depending on the creative goal. 6. How Digital Image Capture Has Changed Photography The digital photography has revolutionized the photography industry. Before, the photographers had to wait until the film was developed before they could see the results. Now, they can instantly see how the picture looks and make the necessary changes while taking the photograph. Digital photography has also facilitated the image editing process as photographers can use the image processing software to correct the color, brightness, contrast and even the composition. Moreover, the digital photographs can be easily uploaded to websites and social media and seen in any part of the world. These technologies are widely used in such fields as filmmaking, journalism, scientific research and digital art. Filmmakers can use the digital cameras to record the moving pictures, while the scientists can use the imaging systems to record the images of the objects and phenomena that cannot be observed directly. However, the digital technology also presents certain challenges since the photographs can be edited extensively and the images can be modified and presented without any original context. Conclusion The digital image capture technology uses the combination of optics, electronics, software and digital storage. The lens focuses the light onto the sensor, which converts the light to the electrical signals, and the computer processes the information to create the image. Then the image is saved in digital format, such as JPEG or RAW. Thus, understanding these technologies allows to know more about the exposure, image quality, editing of the image. It also shows that capturing the digital photograph is not only pressing the button. == References == # Massachusetts Institute of Technology. ''Digital Cameras''. MIT OpenCourseWare. <nowiki>https://ocw.mit.edu/courses/res-2-006-girls-who-build-cameras-summer-2016/pages/digital-cameras/</nowiki> # Fossum, Eric R., Nobukazu Teranishi, and Albert J. P. Theuwissen. ''Digital Image Sensor Evolution and New Frontiers''. Annual Review of Vision Science, 2024. <nowiki>https://doi.org/10.1146/annurev-vision-101322-105538</nowiki> # Quintana, Xabier, et al. ''Image Sensors for Digital Photography: A Short Course for Undergraduates. II: Optoelectronics''. Óptica Pura y Aplicada, 2020. <nowiki>https://doi.org/10.7149/OPA.53.1.51041</nowiki> # The Open University. ''An Introduction to Computers and Computer Systems: Digital Camera''. OpenLearn. <nowiki>https://www.open.edu/openlearn/mod/oucontent/view.php?id=112559&section=_unit6.4</nowiki> {{BookCat}} i6d4ccwisdghox4u3wzccwe78ch4irl 0 332771 2844410 2843933 2026-11-04T04:00:32Z MM0665 3067389 2844410 wikitext text/x-wiki [[Category:Sports]] = Baseball in Technology: How technology is changing the game = == Introduction == Technology has had a huge impact in the sport of baseball. Technology can be used by players and coaches to improve their abilities. There are new ways of technology that can provide data such as pitch speed, spin rate, launch angle and how hard the ball is hit. Technology has also impacted umpires. With technology improving, it will have a larger impact on baseball. === Stat cast === One of the largest impacts technologies has had is the introduction of Stat cast. This uses cameras and radar systems to capture data on players and baseballs in games. It can record data such as pitch speed, power in hitting and running speed. This helps coaches help players to improve their skills. It will also help teams make better decisions on who they sign and who they shouldn’t sign. MLB.com - Statcast: https//www.mlb.com/glossary/statcast === Spin rate === Spin rate measures how many times the baseball spins. This helps pitchers see how their pitch moves. A higher spin rate can help make certain pitches harder to hit. This also helps coaches teach their pitchers to improve their abilities. Overall, this has changed the way pitchers train. Baseball Savant - Baseball Stats: https://baseballsavant.mlb.com/ === Launch Angle === Launch angle helps measure what angle the baseball comes off the bat. Exit velocity measures how fast the ball goes after contact. This helps hitters understand how well they are hitting. Many players use this information to improve their swing and become a better hitter. This has impacted hitters by being able to analyze their swings. MLB.com - Launch Angle: https://www.mlb.com/glossary/statcast/launch-angle === Technology with Umpires === Technology has impacted umpires. Instant replay can be used to help umpires make the right decision in close situations. This helps make the game more fair. The MLB recently introduced the Automated Ball-Strike (ABS) Challenge System in 2026. This helps players challenge certain calls of balls and strikes using technology. This system is something I can see staying in baseball for a very long time. [https://www.mlb.com/interactive/mlb-abs-system-explainer?msockid=2662348ae0d260a8253222d8e19661a9 MLB ABS: Automated Ball-Strike Challenge System Explained] === Recruiting === Technology has helped make it easier for young baseball players to get noticed by colleges and professional teams. Players can upload videos of their highlights on social media. Coaches and scouts can look at these videos to get more information on the players. They can also share information on how hard they can throw and how well they hit. This creates a great opportunity for more young athletes to show their talent. [https://www.ncaa.org/eligibility-center/recruiting/ NCAA Recruiting - NCAA.org - The Official Website of the NCAA] === Technology with fans === Technology has made watching baseball more enjoyable. You can keep up to date with games, scores, and highlights through the MLB app. You can look up player stats on websites such as Baseball Reference. On television and at the stadium, you can see information such as pitch speed and exit velocity. This information helps fans understand the game better. === Future of Technology with Baseball === Technology will continue to impact baseball. Teams may use more artificial intelligence to analyze players and help them improve. New technology may help coaches identify issues with players' swings and pitching. Umpires can also make more accurate decisions. Overall, baseball will continue to change with new inventions. === Conclusion === Technology has become a big part of baseball. It has impacted players training, coaches' decisions and umpires' decisions. Stats such as spin rate, launch angle and exit velocity have helped players understand their game better. Social media and videos online have helped young players get noticed by colleges and professional teams. Technology will continue to make more improvements in baseball over the years. === References === [https://www.mlb.com/ MLB.com | The Official Site of Major League Baseball] [https://www.mlb.com/glossary/statcast?msockid=2662348ae0d260a8253222d8e19661a9 Statcast | Glossary | MLB.com] [https://baseballsavant.mlb.com/leaderboard/active-spin Statcast Active Spin Leaderboard | baseballsavant.com] [https://www.mlb.com/glossary/statcast/launch-angle?msockid=2662348ae0d260a8253222d8e19661a9 Launch Angle (LA) | Glossary | MLB.com] [https://www.mlb.com/interactive/mlb-abs-system-explainer?msockid=2662348ae0d260a8253222d8e19661a9 MLB ABS: Automated Ball-Strike Challenge System Explained] [https://www.ncaa.org/eligibility-center/recruiting/ NCAA Recruiting - NCAA.org - The Official Website of the NCAA] huespduv2lu7hxbpic2t74ep3v27oc5 2 332772 2844296 2844057 2026-11-03T20:56:40Z Marlo Moesia 3113694 /* Subsequent Topics and Detailed Analysis */ 2844296 wikitext text/x-wiki = Successive Products Framework: Basic Principles = == Introduction == Welcome to this introductory topics on successive products applied to functions <math>\,\text{F}: \mathbb{R} \to \mathbb{R}\,</math> and computed for integer arguments. This module provides a foundational framework, detailing primary definitions and essential algebraic properties. This material is designed as a foundational guide to help learners understand the general principles of this subtopic within the Moesia Successive Operations Framework. In this section, we will explore: * '''Successive Products: Definition Based on Usual Products''' * '''Successive Products: Fundamental Property''' * '''Successive Products: The First Extension Based on the Fundamental Property''' * '''Subsequent Topics and Detailed Analysis''' == Getting Started == While basic algebra is recommended, no prior background in this specific topic is required. === Successive Products: Definition Based on Usual Products === Consider a function <math>\,\text{G}: \mathbb{R} \to \mathbb{R}\,</math> that takes as arguments another function <math>f(x),\,x \in \mathbb{R},\,</math> and a non-zero natural number <math>n,</math> such that <math> \text{G}[f(x), x \leftarrow \{1\}] = f(1) </math> <math> \text{G}[f(x), x \leftarrow \{2\}] = f(1) \cdot f(2)\,,\,\, </math> and so on. Thus, <math> \text{G}[f(x), x \leftarrow \{n\}] = f(1) \cdot f(2) \cdot f(3)\, \cdot ... \cdot f(n)\,;\,n\in\mathbb{N}^{*}. </math> From the expressions above, it becomes clear that <math>\operatorname{G}[f(x), x \leftarrow \{n\}] = \prod_{x=1}^{n} f(x); \quad x \in \mathbb{R}, \, n \in \mathbb{N}^*.</math> The function G is termed the 'Successive Product of <math>f(x)</math> at <math>x = n</math>'. As stated above, G is equivalent to a standard product starting at 1, provided that its computation is restricted to strictly positive natural numbers. ===Successive Products: Fundamental Property=== A standard product can be evaluated either directly, by performing all multiplications in one step, or recursively, by accumulating a partial result and multiplying it by each successive factor. This latter formulation allows the standard product at <math>n+1</math> to be written as <math>\prod_{x=1}^{n+1} f(x) = \left[\,\prod_{x=1}^{n} f(x)\right]\cdot f(n+1); \quad x \in \mathbb{R}, \, n \in \mathbb{N}^*.</math> Therefore, using successive product notation, one has <math>\operatorname{G}[f(x), x \leftarrow \{n+1\}] = \operatorname{G}[f(x), x \leftarrow \{n\}]\cdot f(n+1); \quad x \in \mathbb{R}, \, n \in \mathbb{N}^*.</math> which is termed the 'fundamental property of successive products'. ===Successive Products: The First Extension Based on the Fundamental Property=== A key aspect of the framework under consideration is that the fundamental property of successive products constitutes a recurrence relation; from this perspective, each value of G is computed from a preceding value. Consequently, there is no a priori reason to mandate that this recurrence must begin at <math>x = 1.</math> In fact, it could originate at 0, or even at earlier integer arguments, such as <math>-1, -2</math>, and so on, suggesting that no obstacles prevent extending the domain of the fundamental property of successive products from <math>\mathbb{N}^*</math> to <math>\mathbb{Z}\,</math>: <math>\operatorname{G}[f(x), x \leftarrow \{z+1\}] = \operatorname{G}[f(x), x \leftarrow \{z\}]\cdot f(z+1); \quad x \in \mathbb{R}, \, z \in \mathbb{Z}.</math> At this point, it becomes evident that the function G can no longer be represented by a standard product, because in any conventional product, the upper index must be greater than or equal to the lower index. Here, the usual products fail, and new rules governing operations between values of <math>f(x)</math> are established. These and related issues have been resolved. For example, <math>\operatorname{G}[f(x), x \leftarrow \{0\}] = 1\,,</math> is the only consistent result possible for G at <math>\,x=0</math>. ===Subsequent topics will come soon=== Marlo Moesia’s work proceeds from this point, addressing this and subsequent questions of interest, and extends successive products across the continuous domain of real numbers—extending definitions and properties from the realm of functions to mathematical operators that map real functions onto other real functions. This is an emerging field of research with compelling applications that has been successfully explored across several published works.<br> ---- 2a65ofp1imbajna00zqthd7sjbmmgoc 0 332786 2844201 2026-11-03T12:40:32Z Wb525 3112992 Wb525 moved page [[Cosmology: UG.NUG an Observation-Based Model]] to [[User:Cosmology: UG.NUG an Observation-Based Model]] over redirect 2844201 wikitext text/x-wiki #REDIRECT [[User:Cosmology: UG.NUG an Observation-Based Model]] 393w99hz1usgi0biidr8tuybsjxjvcn 2844212 2844201 2026-11-03T14:29:51Z Wb525 3112992 Undo all revisions. Resource is empty, but not [[Wikiversity:Deletion policy|deleted]]. 2844212 wikitext text/x-wiki phoiac9h4m842xq45sp7s6u21eteeq1 2844215 2844212 2026-11-03T14:34:22Z Wb525 3112992 2844215 wikitext text/x-wiki a frkhg3ewxov0h1g2eh87fri7z1g12ns 2844218 2844215 2026-11-03T14:46:49Z Wb525 3112992 Text edition 2844218 wikitext text/x-wiki = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on ΛCDM, renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified three-point diagram offering an overview of the proposed simplicity of the Universe. Enjoy reading. Readers with questions or comments are welcome to contact the author at info@wbohane.com. == Other texts related to this presentation == [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''The long long list of ΛCDM flaws''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the ΛCDM model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the CMB contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the ΛCDM, one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen GRID, which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the GRID is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. kmagcrdvbxnohdj0qimler84b4ykl3m 2844221 2844218 2026-11-03T14:53:15Z Wb525 3112992 2844221 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on ΛCDM, renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified three-point diagram offering an overview of the proposed simplicity of the Universe. Enjoy reading. Readers with questions or comments are welcome to contact the author at info@wbohane.com. == Other texts related to this presentation == [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''The long long list of ΛCDM flaws''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the ΛCDM model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the CMB contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the ΛCDM, one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen GRID, which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the GRID is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. q7xecm5u9yi7suytybc1y1vz8ln2fuo 2844280 2844221 2026-11-03T17:22:34Z Wb525 3112992 2844280 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on ΛCDM, renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified three-point diagram offering an overview of the proposed simplicity of the Universe. Enjoy reading. Readers with questions or comments are welcome to contact the author at info@wbohane.com. == Other texts related to this presentation == [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''[[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|The long long list of ΛCDM flaws]]''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the ΛCDM model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the CMB contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the ΛCDM, one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen GRID, which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the GRID is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. mvxq9emdqabrp0n5f9twaxvu6zpsgwq 2844411 2844280 2026-11-04T05:20:42Z Wb525 3112992 2844411 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. https://doi.org/10.5281/zenodo.20644064 = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on ΛCDM, renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified [https://www.wbohane.com/BLOG/!three_point_universe.aspx three-point diagram] offering an overview of the proposed simplicity of the Universe. == Other texts related to this presentation == [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''[[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|The long long list of ΛCDM flaws]]''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the ΛCDM model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the CMB contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the ΛCDM, one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen GRID, which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the GRID is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. 8jaaa0sd11ss2e85su65tt6st9ha35a 2844413 2844411 2026-11-04T05:25:16Z Wb525 3112992 2844413 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. https://doi.org/10.5281/zenodo.20644064 = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on ΛCDM, renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified [https://www.wbohane.com/BLOG/!three_point_universe.aspx three-point diagram] offering an overview of the proposed simplicity of the Universe. == All the texts of this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''[[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|The long long list of ΛCDM flaws]]''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the ΛCDM model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the CMB contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the ΛCDM, one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen GRID, which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the GRID is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. dms5obw1ep9znhtidnkn0s4j4svnmvm 2844424 2844413 2026-11-04T05:44:59Z Wb525 3112992 2844424 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. https://doi.org/10.5281/zenodo.20644064 == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on ΛCDM, renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified [https://www.wbohane.com/BLOG/!three_point_universe.aspx three-point diagram] offering an overview of the proposed simplicity of the Universe. = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''[[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|The long long list of ΛCDM flaws]]''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the ΛCDM model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the CMB contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the ΛCDM, one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen GRID, which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the GRID is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. ln9mf80jikmb9h9tszp1lku9n80tgmo 2844432 2844424 2026-11-04T05:51:01Z Wb525 3112992 2844432 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. https://doi.org/10.5281/zenodo.20644064 == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on <nowiki>[[/ΛCDM]]</nowiki>, renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified [https://www.wbohane.com/BLOG/!three_point_universe.aspx three-point diagram] offering an overview of the proposed simplicity of the Universe. = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''[[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|The long long list of ΛCDM flaws]]''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the ΛCDM model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the CMB contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the ΛCDM, one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen GRID, which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the GRID is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. 4tklii6gpatkuhd1l8zyifyqdqdbohi 2844433 2844432 2026-11-04T05:58:40Z Wb525 3112992 2844433 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. https://doi.org/10.5281/zenodo.20644064 == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]], renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified [https://www.wbohane.com/BLOG/!three_point_universe.aspx three-point diagram] offering an overview of the proposed simplicity of the Universe. = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''[[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|The long long list of ΛCDM flaws]]''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the [[Cosmology: UG.NUG an Observation-Based Model/the CMB|CMB]] contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]], one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen [[Cosmology: UG.NUG an Observation-Based Model/the GRID|GRID]], which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the [[Cosmology: UG.NUG an Observation-Based Model/the GRID|GRID]] is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. 0dn1i1sdf9qvsjnjkilnrv5p9a5y1ls 2844434 2844433 2026-11-04T06:03:52Z Wb525 3112992 2844434 wikitext text/x-wiki {{Research project}} Original research project by Willy Bohane — UG.NUG. https://doi.org/10.5281/zenodo.20644064 == All the texts in this presentation == [[Cosmology: UG.NUG an Observation-Based Model|UG.NUG]] [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] [[Cosmology: UG.NUG an Observation-Based Model/Cosmic Time|Cosmic Time]] [[Cosmology: UG.NUG an Observation-Based Model/the Mass Imbroglio|the Mass Imbroglio]] [[Cosmology: UG.NUG an Observation-Based Model/the CMB|of the CMB]] [[Cosmology: UG.NUG an Observation-Based Model/the GRID|of the GRID]] [[Cosmology: UG.NUG an Observation-Based Model/Gravity|of Gravity]] [[Cosmology: UG.NUG an Observation-Based Model/Black Holes|of Black Holes]] = Introduction = This article presents a reading of the Universe that differs in every respect from the existing model. The latter contains a false start which, for reasons explained in the dedicated article on [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]], renders it null and void from the very first millisecond of its narrative: the Singularity. Before reading this detailed text, whose links to technical articles support and further develop the arguments presented, readers can consult a simplified [https://www.wbohane.com/BLOG/!three_point_universe.aspx three-point diagram] offering an overview of the proposed simplicity of the Universe. = State of Play = Before anything else, it is important to understand that cosmology, in its interpretative function, is not an exact science. As its name indicates, it means, in Greek, ''the study of the world'' — and therefore, by extension, its origin, its structure, its evolution, its content, and its future. This is why it resembles more a religion than science. As with religion, everybody can say anything, everybody can believe anything, everybody can make anyone believe anything. Humanity is divided into many creeds, and so is cosmology. This is why the following list of flaws is possible, especially where science is subjected to the rules of a free market place. '''[[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|The long long list of ΛCDM flaws]]''' = Observation, Reading, Reflection = In accordance with the principle of parsimony, these should be the first instincts to guide us when we look up at the sky and ask ourselves what the Universe is. But we must proceed with due respect for our own nature as human beings, confronted with the immensity of a habitat we did not choose, which brings us into existence, sustains us, and ultimately eliminates us without even noticing. In this sense, cosmology has less to do with technology than with philosophy, the mother of all sciences. When human beings, through the [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]] model, presume to decide when the Universe began and how it began, they brazenly violate the modesty and humility that should be incumbent upon them. They do so much as the authors of the biblical creation narrative did—distant predecessors whose audacity might be forgiven, but whose example is no longer intellectually acceptable in the twenty-first century. The issue here is not even to revisit the invalidity of such a conjecture, which is discussed at length in the list of flaws. Rather, it is to ask by what right the model's architects permitted themselves to make such an extraordinary claim in the first place. From that moment on, the claim becomes null and void, without further appeal. = the Universe = So, what does observation tell us when we look up at the sky? First and foremost, it tells us that the Universe exists, that it was already here before us. Our age and our experience also tell us that, as human beings, we are merely passengers, temporary workers, and mortals in waiting, and that whatever we do, the Universe will always be stronger than we are. Consequently, the only natural and parsimonious conclusion we can draw from looking at the sky is that the Universe exists, that it did not ask us to exist, and that it has never told us when it began, how it began, or why it began. From this starting point, we can say, without doubt, without prejudice, without invention, and, quite simply, without making things up, that what we see around us is the Universe; that it is the only thing that exists as far as we are concerned; that it does not know human clock-measured time; and that it is absolutely impossible for us to say anything more about it. Pure logic would therefore suggest that we consider ourselves inhabitants of a stationary Universe, one that would have absolutely no need to expand. The initial observation does not impose expansion upon us. A stationary universe therefore constitutes the most parsimonious starting point. On the one hand, this means not inventing an improbable birth date; on the other, it means not inventing an equally improbable expansive Big Bang. However, with our eyes fixed on the sky, especially at night, we see the Moon. And we are entitled to wonder why it does not fall on our heads, even before knowing about gravity or having the slightest idea of its existence. The natural reflex would therefore be to consider the concept of the Apeiron — an undefined, omnipresent substrate — or Aristotle's concept of Ether, or Faraday's idea of a "something" that might sustain celestial objects. Although these concepts are not entirely identical, they all point towards the same fundamental intuition: the possibility of a "Something" underlying the visible world. This may well be one of humanity's oldest intellectual reflexes. It comes naturally to mind whenever something appears to hang in the void, even during a Houdini performance. Something must be holding it, surely! And at this point, one might begin to think that the Universe is not what we see, but rather what we do not see: that what is visible emerges from a fertile, invisible substrate that fills the entire Universe. This would be a very concrete and believable image if all visible celestial objects appeared to be suspended in the void — suspended, yet held in the embrace of that same substrate, which prevents everything from collapsing. It is much like the air that fills the space on Earth. When the plant emerges from the ground, the air surrounds the plant, continues to envelop it, nourish it, and influence its nature. = The CMB = If we remain within this parsimonious perspective, which so far has required no invention, no additions, and no patches, it is easy to see why a sense of serenity might take hold of our minds. We have already saved ourselves quite a lot: the singularity and its strangeness, the improbable Big Bang, expansion and the many complications it brings in its wake… But be patient. We are about to do even better. Because when Penzias and Wilson discovered the cosmic microwave background radiation, nothing in that discovery compelled us to think of a fossil. The idea of a distant past was not even a necessary intellectual or cosmological option within this line of thought. Why go looking for a fossil, and where would it have come from? No, the question would not even arise. We would instead think of that substrate — the very one we had already invoked to explain why the Moon does not fall on our heads — which might now turn out to be noisy as well. Hardly a reason to spoil the party, this radiation would be the living confirmation of what humanity had intuited for 2,700 years: a "Something" that sustains "Everything." So what better response than to shout: "Bingo!" Since none of the observed properties of the [[Cosmology: UG.NUG an Observation-Based Model/the CMB|CMB]] contradicts this possibility, it would be only fair, and consistent with the principle of parsimony, to acknowledge that this interpretation is far simpler and more appealing than the intricate story of a cosmic fossil, its journey across billions of years, its puzzling temperature, and all the complications that come with it. = the Arrow of Emergence = A glass is the only thing the universe deigned to offer us before its long nap. Not the glass itself, but what it whispers when it breaks. When it slips from our hands and, by misfortune, the floor is tiled rather than carpeted, it shatters. And if we read the universe simply, we catch its message — the message of the irreversible Cosmic Order: the one that prevents the glass from reassembling, the one that prevents events from denying their own existence. Thus, the universe gives us the direction from past to future, what current physics commonly calls the Arrow of Time. It is striking: it gives us the Arrow of Time, but not time itself. The current name, Arrow of Time, is not really appropriate, since it is not “time” in the chronometric sense. It is rather, as explained earlier, a pre‑cosmic Order that governs everything, the universe included. Yes, this is an inescapable consequence of a careful reading of the universe. This succession order is of primary importance in the UG.NUG reading, but also in the ΛCDM, which — it seems — has not given it the place it deserves. In the [[Cosmology: UG.NUG an Observation-Based Model/ΛCDM|ΛCDM]], one observes that the universe ceased its creative activity only once its work was complete. One day, it emerged from an unknown state — the term ''Big Bang'', which everyone knows, usually refers to this event — and then particles appeared, followed by atoms, stars, galaxies… Since then, nothing is created, nothing is lost, everything transforms, as Lavoisier would say. What matters here is not the validity of this narrative, but the Succession  of things: this natural succession of phases is precisely the Succession  in question. And that is why we have renamed this arrow the Arrow of Emergence. The misunderstanding dissolves, and the meaning becomes clearer: Succession  of emergences versus time‑keeping. The Arrow of Emergence therefore indisputably precedes the universe. It’s new, fresh off the shelf, ready‑to‑wear. This can mean several things: * the arrow was there, and that’s all. We accept the universe and take the arrow as a bonus, * the arrow was there, and therefore the universe is governed by something we do not know, * the arrow was there, and therefore our universe is part of a series of universes, * the arrow was there, and therefore we are free to consider any interpretation. In short, it mainly means that the Arrow of Emergence is particularly important — especially for what follows. = The GRID = Since CMB is the name given to the discovery, it seems fair to rename it according to its cosmological function. Faraday deserves his “something,” and we have chosen [[Cosmology: UG.NUG an Observation-Based Model/the GRID|GRID]], which stands for Global Reference in Dynamics. In UG.NUG, the model presented in this paper, the [[Cosmology: UG.NUG an Observation-Based Model/the GRID|GRID]] is ''le clou du spectacle'', as the French would say — the highlight of the entire show. It is the key element that dissolves most of the paradoxes of ΛCDM in such a simple way that it seems almost impossible to have overlooked it. In other words, without the GRID, UG.NUG would be no more interesting than any other model. = UG = Apart from its resemblance to the exclamation of a prehistoric man, this name carries a very important cosmological meaning. What we call geometry refers to the shape or size of an individual object, properties that matter in its interactions with reality. Geometry begins above the level of chemistry. UG stands for the French '''''Uniformité Genrée''''' (Categorical Uniformity). We coined this term to describe a phenomenon whose significance has gone unnoticed. In short, everything produced by the Universe in its earliest stages — particles, nuclei, and so on — belongs to this regime, in which objects possess no geometry. They have no individuality, no history, and no variation. This uniformity is the hidden foundation of everything: the silent order governing the birth of the Universe. For now, let us simply understand that, in this model, the world of the very small — below the atomic level — has no geometry, even though some textbooks may suggest otherwise. = NUG = NUG stands for the French '''Non-Uniformité Genrée''' (Categorical Non-Uniformity). It represents everything that possesses geometry and individuality: stars, planets, meteors, and, of course, everything that derives from them — humans, artifacts, flora, and fauna. No two pebbles are alike, nor are any two trees. Individuality increases with complexity. The transition from UG to NUG occurs through the assembly of atoms and molecules, the underlying mechanism of which remains unknown. NUG is the third and final phase in the emergence of an object. Since humans, along with their clocks and measuring instruments, belong to NUG, the time measured by our wristwatches is also a NUG phenomenon. In this model, measurable time exists only where geometry and individuality exist. = UG.NUG = UG.NUG is the name of this model. It encompasses the two regimes that govern the entire Universe. As we shall see, NUG — and therefore geometry — emerges later than UG. Once it appears, however, it becomes an integral part of the Three Point Universe, a concise schematic representation of the UG.NUG model. NUG encompasses all objects, including the Moon and the other celestial bodies mentioned earlier, which, fortunately, do not fall on our heads. = the Genesis Phases = Now that the framework has been established, and we have seen that our universe is neither outlandish nor fundamentally different from the one we know, and that it is not threatened by our models, however incongruous they may be, we can begin to imagine what might actually have happened to produce the spectacle before our eyes. For this section, then, a little imagination is indeed required. Yet, for reasons of pure logic, the sequence you are about to discover is hardly surprising. The principle of parsimony remains our guide. Water has always flowed, and will always flow, along the paths best suited to its passage. This natural law, which is suspected to have inspired William of Ockham in formulating his principle, is far from trivial when attempting to reconstruct an event such as the emergence of the universe through a virtual model. We shall therefore continue to refrain from introducing artificial devices into the natural stages described below. = the First Phase = Strictly speaking, this is not a phase at all. It is included here to make clear that everything begins with the omnipresence of the universe. This phase never began, because it is our sole reality. Nothing else exists. This omnipresence is inferred from, and embodied in, the omnipresent GRID, which belongs to the UG regime, where objects inaccessible to our senses have no history, variation, or individuality. We do not know what it is made of. Nevertheless, it is logical to suppose that it contains the codes of the perceivable universe: the non-geometric component commonly encountered at the depths of matter and described by quantum mechanics, including elementary particles and atomic nuclei. For human beings, such a configuration borders on metaphysics. Our cognitive faculties are not designed to grasp invisible, non-geometric entities that carry information, almost like ghosts. We can invent ghosts, but we cannot manage them. According to the standard cosmological model, this radiation was released approximately 380,000 years after the Big Bang, hence its designation as fossil radiation. Such dating has no meaning within the present model, since chronometric time, as explained earlier, does not exist at the fundamental level of the universe. The quantum effervescence associated with the emergence of the GRID is held together by a fundamental UG energy: a pre-geometric substrate that makes emergence possible. This energy may correspond to the unique energy of the BBP, subsequently differentiated into the electromagnetic, weak, and strong interactions, the latter ensuring nuclear cohesion. These interactions then mysteriously disappear from the broader cosmological narrative. The persistence of the GRID explains its presence in every atom. Whatever an atom may eventually become, it retains this universal imprint. When an atom is destroyed, its particles are not necessarily destroyed with it: they return silently to the undifferentiated reservoir of the GRID. Quantum particles cannot be manipulated directly in their fundamental nature; they emanate from the original GRID. This is a personal assertion, but not an entirely baseless one. As explained in The Fear of the Unexplainable, the dominant mindset refuses to accept that the unexplainable might be fundamental. Everything must be physical — except when it is convenient to invoke something more elusive, as when fundamental energy is called upon to explain atomic cohesion. This double standard exposes what should be regarded as a lack of logic in the BBP. This is why CERN is unlikely ever to obtain the results it expects. These particles will never reveal what they truly are. Attempting to reach the UG side of the universe using NUG instruments is like asking a newborn to intervene in the device that brought it into existence. The limitations become apparent immediately. The atomic bomb has already shown, with tragic consequences, what can happen when humanity interferes too directly with the elements of the GRID. Einstein was right to reject the idea that “God plays dice.” His “God” — nature, the universe itself — is present in every object. He did not believe that quantum mechanics had appeared in matter by chance. Yet this is precisely how Bohr and Heisenberg interpreted it: they treated quantum mechanics as a contingent curiosity rather than as the signature of something still unknown. = the Second Phase = Once the presence of the underlying “carpet” containing the codes has been established, it becomes plausible that primary objects — atoms and simple molecules — begin to form. These are the first objects to possess geometry, yet all objects of a given kind remain identical to one another. Any attempt to determine the precise beginning and end of this phase through elaborate calculations would be highly speculative. The immaterial effervescence persists, but it is now accompanied by objects that require time to assemble. In parallel, the fundamental energy of the GRID becomes involved in maintaining the cohesion of these new atomic structures. This cohesive role requires it to manifest properties that were previously unnecessary: the strong interaction, which binds the constituents of atomic nuclei together; the weak interaction, whose role is more secondary in this context; and the electromagnetic interaction, which governs exchanges between charged particles. One energy, then, with multiple manifestations — always present, always active. In this model, it replaces the various concepts invoked by the BBP to describe primordial energy and its effects: vacuum energy, dark energy, the cosmological constant, and quantum fluctuations. These become different labels for what the model interprets as a single primordial presence. At this level, deduction is more reliable than equations. When atomic nuclei absorb part of the primordial energy and convert it into binding energy or other forms of energy associated with their structure, they clearly do not absorb the entire substrate that sustains them. Like leaves floating on a pond, organised structures can appear without eliminating the medium in which they exist. The primordial energy continues to sustain the whole, even when part of its flow is redirected towards cohesion. Atoms are assemblies of ghosts, and all atoms of a given kind appear identical. What lies at their heart is non-geometric and cannot be observed directly. Applied physics detects only measurable effects — energies, transitions, and interactions — never the intrinsic nature of the particles themselves. Conversely, the BBP assigns geometric labels to entities that are inferred from non-geometric experimental results: spin, charge, isospin, quantum numbers, and so on. Collisions produce deposited energies, momenta, angles, jets, resonances, and statistical peaks. From these data, the BBP constructs its picture of elementary particles. This conceptual shift is rarely acknowledged. Despite the absence of directly geometric data at the fundamental level, the BBP continues to construct its own universe in order to preserve what may be regarded as a sterile mathematical edifice. The second phase is the bridge between the inaccessible and the modifiable, between UG and NUG, between the GRID and geometry. = the Third Phase = All remaining objects — stars, planets, galaxies, and everything that derives from them — emerge according to their order of formation, depending on the availability and completeness of the preceding stages for each object individually. This is where uniformity ends and individuality begins. No precise dating is possible within the present model. This phase represents the culmination of the process: the world that emerges from UG, the world we see, touch, hear, smell, and taste. Once UG has reached maturity, complex forms, interactions, and histories become possible. The universe enters the NUG regime. NUG encompasses: * Stars * Planets * Chemistry * Biology * Perception Everything we experience is the final geometry of a pre-geometric reality. Pre-geometric also means pre-volumetric. The GRID — UG — is both pre-geometric and pre-volumetric. Geometry begins above the atomic level, and individuality emerges with complexity. The GRID has no visible form. It manifests itself through the infinitesimal temperature variations observed in the CMB in every direction, through gravity on Earth, and through magnetic fields. It is an invisible presence that precedes the emergence of volumetric structures. In this model, geometry and volume emerge from UG without requiring expansion, unlike the BBP, which postulates an initial singularity followed by the expansion of the metric. Our interpretation is straightforward: * '''No singularity:''' the universe is already extended in the form of the GRID. * '''No infinities:''' emergence follows an ordered sequence, from Phase 1 through Phase 2 to Phase 3. * '''No paradox:''' geometry, or NUG, emerges from UG without requiring expansion. The GRID never disappears. It permeates every atom in every object. It is present throughout our world in the form of quantum mechanics, whose rules, according to this model, differ radically from those commonly accepted. Using a scanning tunnelling microscope (STM), it is possible to distinguish individual atoms and observe their arrangement. Don Eigler demonstrated this in 1989 by positioning xenon atoms on a nickel surface to spell out the letters IBM. Beyond the atomic scale, the gap in scale becomes immense. Atoms are approximately a nanometre across, whereas the characteristic scale of their constituent particles is around a femtometre — roughly one millionth of a nanometre. No elementary particle has been observed directly in the sense of being imaged as a tiny object with a visible surface. Instead, experiments detect traces and measurable effects from which the properties of particles are inferred. The process is therefore highly indirect. Every fragment of matter carries within it an irreducible part of the universe's deepest mystery, together with the codes from which geometry emerges. = Conceptual Consequences = The problems of the ΛCDM are not independent: they naturally group into three families, all stemming from the same implicit assumption — that the universe is fundamentally geometric. By changing this starting point, these difficulties cease to be enigmas. They become the expected consequences of an inadequate reading. The three blocks that follow present these families of problems and show how UG.NUG reading dissolves them without additions, without corrections, simply by restoring the natural Succession of emergence. == for Cosmology == Dark matter — Dark energy — Cosmological constant — Horizon — Flatness — Homogeneity — Origin of geometry — Big Bang — Expansion — Large‑scale structure The UG.NUG reading understands that geometry is not a starting point, but a secondary level of organization, appearing only after UG. This single shift is enough to dissolve almost all cosmological problems of the ΛCDM. Thus, the universe does not begin with a geometric explosion, but with an undifferentiated background. Geometry appears only when objects cease to be identical. This conceptual reversal eliminates in one stroke the paradoxes related to the origin of space, its shape, its homogeneity, or its flatness. One no longer tries to explain why geometry is already there. It is not there at the beginning. It appears naturally, carried by the Arrow of Emergence, and stabilizes thanks to the GRID. The image of a fabric tube being inflated illustrates this perfectly. The tube already exists, but it is not yet deployed. Near the opening, the fabric is inflated; farther away, it seems to inflate progressively; in the distance, it is still flat. For an observer inside, this creates the illusion of expansion, then accelerated expansion, even though it is only the progressive realization of the structure. The distant regions appear to recede because they are not yet realized, not because they are moving. This inversion of perspective dissolves the very idea of cosmic expansion, inflation, an initial singularity, or dark energy. In this reading, the great cosmological enigmas cease to be anomalies. * Dark matter is no longer an invisible substance added to fix equations, but the consequence of applying a geometric interpretation to a phenomenon that is not geometric. * Dark energy is no longer a mysterious force pushing the universe to expand, but the effect of a secondary geometry misread as dynamic when it is simply structural. * The horizon problem disappears because homogeneity does not need to be transmitted: it is inherited from UG, where everything is identical. * The flatness problem vanishes because geometry is not a fragile structure requiring fine‑tuning, but a stable organization imposed by the GRID. In the UG.NUG reading, geometry is not fundamental but secondary, emergent. By changing the starting point, one does not correct anomalies: one dissolves them. The universe was never incoherent. The interpretation was. == for Quantum Physics   == Measurement - Decoherence - Superposition - Classicality - Quantum gravity - Particle identity - Non‑locality - Hidden variables - Wave‑particle duality - Indeterminacy - Absence of trajectory Quantum physics accumulates paradoxes because it tries to describe a non‑geometric regime using geometric tools. It applies notions of shape, position, trajectory, or mass to objects that possess none of these. In UG.NUG reading, first‑wave particles belong to the UG regime: they are inaccessible, undifferentiated, without form, without variation, without geometry. They are not tiny objects but non‑identifiable pre‑geometric entities.   In this reading, the measurement problem disappears. * There is no wave‑packet collapse, only the transition from a UG state to a NUG interaction — that is, the appearance of a geometric imprint. * Decoherence is no longer a mysterious mechanism, but is simply the incompatibility between a non‑geometric state and a geometric environment. * Superposition is not a magical phenomenon, but the natural behavior of objects that have neither shape nor position. * Classicality needs no explanation: it appears as soon as objects acquire geometry — that is, in the second phase, the primordial one. * Quantum gravity ceases to be a meaningful objective, because there is nothing to quantize. * Gravity is not a fundamental force but the static reaction of the GRID, a purely geometric phenomenon. * Non‑locality is no longer a mystery: in a non‑geometric regime, the notion of distance has no meaning. * Hidden variables have no place: there is nothing to hide in a regime without internal structure. Thus, all quantum paradoxes arise from a single mistake: trying to apply NUG tools to UG. The paradoxes vanish as soon as we stop demanding that UG behave like a geometric world. Quantum mechanics is the universe’s signature within every atom of matter, and the keeper of the code for the geometry of the emergent, perceivable forms that make up our world. That said, where we hope this reading of the universe can serve as a model is in a radical shift in how we treat the information obtained through the manipulation and analysis of particles. In fact, the investigations concerning them can be counted on the fingers of one hand: <nowiki>:</nowiki> * energy levels through spectrometry, * transition probabilities in lasers, * electronic structures via STM, * conduction bands in solid‑state physics, * bound states in quantum chemistry. Yet these data, as precise and rich as they are, are systematically and arbitrarily transformed into geometric forms: orbitals, positions, bands, crystal lattices… as if nature suddenly became classical the moment we look at it. But none of this has ever been observed. The size of particles, their wave‑particle duality, and above all the very principle of quantum mechanics — where everything is probabilities, superpositions, and wave functions — should forbid this geometric illusion. Why, then, this persistent habit of hiding raw data beneath familiar but false representations? Why prefer reassuring visual models over a clear presentation of investigative methods and probabilistic results? Quantum mechanics has taught us that reality is not a neat drawing of well‑traced orbits, but a cloud of probabilities in constant evolution. Yet we continue to teach, publish, and design technologies based on geometric diagrams that are nothing more than convenient metaphors — or even lies by omission. The problem is not only scientific; it is epistemological. By over‑geometrizing, we reduce quantum complexity to a classical caricature and deprive researchers — and the public — of an honest understanding of what particles and their interactions truly are. Atomic orbitals are not physical objects occupying geometrically defined regions of space. They are mathematical representations of quantum states. So why not fully embrace quantum strangeness? Why not present the data as they are: probability distributions, complex amplitudes, entangled states? Science has a duty to tell the truth, even when it is unsettling. And the truth, here, is that the quantum world has nothing geometric about it — at least not in the classical sense we impose on it. Perhaps it is time to break with this tradition and finally show the real face of matter: not a collection of localized objects, but a network of possibilities in perpetual fluctuation, where geometry is only a shadow cast by our human limitations. It is not impossible that this obsession with geometrization — this desperate need to draw orbitals, bands, or lattices where only blurry probabilities exist — is directly linked to the phobia described in the paper The Fear of the Unexplainable. For reducing the quantum to reassuring shapes is a way to flee the fundamental absurdity of a universe where particles have neither trajectory nor defined position. It is a denial of strangeness, a clinging to the illusion of a classical, manageable, predictable world. Geometry is the refuge of physicists frightened by the metaphysical void. == for Forces and Interactions   == Gravity — Unification — Renormalization — Fundamental constants — Mass In the ΛCDM, forces are treated as fundamental entities, each with its own carrier, field, constants, and symmetries. This assumption generates most of the conceptual difficulties. In the UG.NUG reading, this framework collapses: what the ΛCDM interprets as “forces” are not fundamental ingredients of the universe but the observable behaviors that appear when objects exist or move within the GRID. * Gravity is not an interaction. It has no carrier, no quantum, no fundamental field. It is simply the static behavior of the GRID in the presence of a geometric object. The problem of quantum gravity disappears — not because it is solved, but because it never existed: gravity was never a quantum phenomenon to begin with. * Magnetic effects are the dynamic version of the same behavior when the object moves or rotates. * Renormalization also ceases to be a difficulty: there is nothing to renormalize once these behaviors are no longer treated as fundamental forces. * Mass is not a property of the universe. It is only the human interpretation of certain geometric behaviors that remain fully calculable, even though the quantity itself does not exist. Thus, the conceptual problems associated with forces and interactions in the ΛCDM arise from a single mistake: treating contextual behaviors as fundamental forces. bfyobjnz77amxmu7cpbkhbgd6oxvl51 3 332789 2844256 2026-11-03T17:03:14Z James3141592 2861357 test signature 2844256 wikitext text/x-wiki <span style="background-color: purple">[[User:James3141592|<span style="color: white">'''James3141592'''</span>]] [[User talk:James3141592|<span style="color: white">'''talk'''</span>]]</span> 17:03, 3 November 2026 (UTC) t41qzqwn82jnp641md7clhjq9084i7i 2844257 2844256 2026-11-03T17:03:41Z James3141592 2861357 rm signature 2844257 wikitext text/x-wiki phoiac9h4m842xq45sp7s6u21eteeq1 6 332790 2844289 2026-11-03T19:25:31Z Young1lim 21186 {{Information |Description=LCal.9A: Recursion (20261103 - 20261102) |Source={{own|Young1lim}} |Date=2026-11-03 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2844289 wikitext text/x-wiki == Summary == {{Information |Description=LCal.9A: Recursion (20261103 - 20261102) |Source={{own|Young1lim}} |Date=2026-11-03 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} boyl5aweh259nkclkudum3ao9arks2c 6 332791 2844291 2026-11-03T19:33:36Z Young1lim 21186 {{Information |Description=Data.1A: Data Object (20261103 - 20261102) |Source={{own|Young1lim}} |Date=2026-11-03 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} 2844291 wikitext text/x-wiki == Summary == {{Information |Description=Data.1A: Data Object (20261103 - 20261102) |Source={{own|Young1lim}} |Date=2026-11-03 |Author=Young W. Lim |Permission={{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} }} == Licensing == {{self|GFDL|cc-by-sa-4.0,3.0,2.5,2.0,1.0}} 4k66zju7c3mfqyj05i5cp5yfsx28ykn 3 332793 2844297 2026-11-03T21:03:34Z Marlo Moesia 3113694 /* Request for the restoration of the created page */ new section 2844297 wikitext text/x-wiki == Request for the restoration of the created page == Good afternoon. I have never created a page on Wikiversity before, and I was unaware of the prohibition against external links. In fact, I had even included a link to Wikiversity on my own website. That non-compliant link has already been removed. I will also remove the link that directs my readers to your site. Given that I believe I have resolved the issue, I trust there is no longer any reason why the page cannot be republished. If there are still any concerns, please let me know. I apologize for my lack of awareness. Thank you for your attention. [[User:Marlo Moesia|Marlo Moesia]] ([[User talk:Marlo Moesia|discuss]] • [[Special:Contributions/Marlo Moesia|contribs]]) 21:03, 3 November 2026 (UTC) bg81k2toc4nbe1mcgqvryrrw12bugii 0 332795 2844321 2026-11-03T22:00:21Z KyleWii 3113193 will finish later, way too unwell for this 2844321 wikitext text/x-wiki '''WikiBridge''' is a learning project focused on turning Wikipedia articles into Wikiversity lessons. The name "WikiBridge" comes from the purpose of bridging the gap between information and learning. The project hopes to make freely available knowledge more useful for students, teachers and independent learners. == Criteria == Any WikiBridge lesson '''must''' have these three elements: * Information/Notes * Examples inside those notes * Multiple-choice quiz to assess the learner's knowledge These are recommended, yet optional elements you can add to make a WikiBridge lesson more useful: * Assignment (a downloadable PDF learners can do before a quiz) * Labs (especially useful for science articles) * Free-response quiz == How can I contribute to WikiBridge? == You can turn any article into a Wikiversity lesson. If you don't know where to start, look for [[wikipedia:Wikipedia:Vital_articles/Level_3|level 3 vital articles]] on Wikipedia, or you can see the to-do articles below. === To-do articles === ==== People ==== * [[WikiBridge/Adolf Hitler|Adolf Hitler]] - Austrian-born German politician who was dictator of Germany in the Nazi era from 1933 until his suicide in 1945. * [[WikiBridge/Joseph Stalin|Joseph Stalin]] - Soviet politician and revolutionary who led the Soviet Union from the late 1920s until his death in 1953, holding the title of General Secretary of the Communist Party of the Soviet Union from 1922 to 1952 and serving as the nation's premier from 1941 to 1953. * [[WikiBridge/Genghis Khan|Genghis Khan]] - founder and first khan of the Mongol Empire. * [[Wikibridge/Karl Marx|Karl Marx]] - German philosopher, social and political theorist, journalist, and revolutionary socialist. * [[WikiBridge/Albert Einstein|Albert Einstein]] - German-born theoretical physicist best known for developing the theory of relativity. Einstein also made important contributions to quantum theory. ==== History ==== * [[WikiBridge/Ancient history|Ancient history]] - time period from the beginning of writing and recorded human history through late antiquity. * [[WikiBridge/History of science|History of science]] - development of science from ancient times to the present. * [[WikiBridge/World War I|World War I]] - global conflict between two coalitions: the Allies (or Entente) and the Central Powers. * [[WikiBridge/World War II|World War II]] - global conflict between two coalitions: the Allies and the Axis powers. ==== Geography ==== * [[WikiBridge/United States|United States]] * [[WikiBridge/China|China]] * [[WikiBridge/Japan|Japan]] ==== Arts ==== * [[WikiBridge/Music|Music]] ==== Everyday life ==== * [[WikiBridge/Food|Food]] * [[WikiBridge/Martial arts|Martial arts]] * [[WikiBridge/Human sexuality|Human sexuality]] * [[WikiBridge/Gender|Gender]] ==== Philosophy and religion ==== * [[WikiBridge/Philosophy|Philosophy]] * [[WikiBridge/Religion|Religion]] * [[WikiBridge/Christianity|Christianity]] * [[WikiBridge/Islam|Islam]] ==== Society and social sciences ==== * Society * Communication * Politics * Economics * Psychology * Consciousness ==== Biology and health sciences ==== * Disease * HIV/AIDS * Medicine ==== Physical sciences ==== * Science ==== Mathematics ==== ==== Technology ==== alybchnnsmmtupnj32igpn5pd9nuzvc 2 332797 2844359 2026-11-03T23:41:10Z Unitfreak 695864 Created page with "=== Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:10..." 2844359 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="1" style="background-color:#f9f9f9;" | 61 | colspan="1" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="6" style="background-color:#f9f9f9;" | 162 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} oflud6qraqn4r269ss8win0jpkpent9 2844360 2844359 2026-11-03T23:43:14Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844360 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="7" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="3" style="background-color:#e8e8e8;" | 65 | colspan="6" style="background-color:#e8e8e8;" | 165 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 65 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="1" style="background-color:#f9f9f9;" | 55 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} 2hp6w8n0comxm9ofpn60fm4g8nhjfnk 2844361 2844360 2026-11-03T23:45:26Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844361 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | colspan="6" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="6" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="6" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="6" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="6" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="7" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="6" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} oqyulwkpwwgyd37q96ztilxhf66cjg4 2844362 2844361 2026-11-03T23:47:06Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844362 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="6" style="background-color:#e8e8e8;" | ? | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="2" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="5" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} 1rf2on5f8yrhyifqe37fg74vlhchfzk 2844363 2844362 2026-11-03T23:48:56Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844363 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="9" style="background-color:#e8e8e8;" | ? | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 1309 | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied |} avqm7uqk1musodvb3alavealp88p8cz 2844366 2844363 2026-11-04T00:17:09Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844366 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="9" style="background-color:#e8e8e8;" | ? | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} 2m573130dhrkc9zmb77m0dmop6nddpj 2844367 2844366 2026-11-04T00:21:19Z Unitfreak 695864 2844367 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="10" style="background-color:#e8e8e8;" | ? | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} hgw2aiyp8ickfv75wxlo8vayrbxr8hv 2844368 2844367 2026-11-04T00:21:39Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844368 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | ? | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" style="background-color:#e8e8e8;" | 602 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} mh8ghvtiuswjrcn0lq7hyhly6s945at 2844369 2844368 2026-11-04T00:22:22Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844369 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | ? | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} grv8w6whtpqfwoestb686f9s2vy2czz 2844375 2844369 2026-11-04T00:55:18Z Unitfreak 695864 2844375 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | - | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} pjc4e079k25ao5g3mx3himv1hp5usmt 2844376 2844375 2026-11-04T00:56:04Z Unitfreak 695864 /* Mathematical Structure of the Septuagint Chronology */ 2844376 wikitext text/x-wiki === Mathematical Structure of the Septuagint Chronology === As was explained above in "Septuagint Adjustments", the LXX’s editor methodically added 100 years to each pre-flood patriarch. The purpose of this adjustment was to ensure that Noah would be the exclusive survivor of the flood. As shown in the tables below, post-flood "Long Chronology" variations are seen to be either identical to or derived from "Short Chronology" values. {| class="wikitable" style="width:100%; font-family:sans-serif; font-size:13px; text-align:center; table-layout:fixed;" |+ Comparison of Pre-Flood Chronological Traditions (Age at birth of son) |- ! rowspan="2" colspan="1" | Patriarch ! colspan="6" style="background-color:#fff3e0; border-bottom:2px solid #ff9800;" | LONG CHRONOLOGY ! colspan="3" style="background-color:#e3f2fd; border-bottom:2px solid #2196f3;" | SHORT CHRONOLOGY |- ! colspan="1" style="background-color:#fff3e0;" | Demetrius <br/> (204 BC) ! colspan="1" style="background-color:#fff3e0;" | Africanus <br/> (221 AD) ! colspan="1" style="background-color:#fff3e0;" | Theophilus <br/> (192 AD) ! colspan="1" style="background-color:#fff3e0;" | Septuagint <br/> (LXX) ! colspan="1" style="background-color:#fff3e0;" | Eusebius <br/> (325 AD) ! colspan="1" style="background-color:#fff3e0;" | Josephus <br/> (94 AD) ! colspan="1" style="background-color:#e3f2fd;" | Masoretic <br/> (MT) ! colspan="1" style="background-color:#e3f2fd;" | Samaritan <br/> (SP) ! colspan="1" style="background-color:#e3f2fd;" | Jubilees <br/> (Jub) |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Adam | rowspan="11" style="background-color:#e8e8e8;" | — | colspan="5" style="background-color:#e8e8e8;" | 230 | colspan="3" style="background-color:#e8e8e8;" | 130 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Seth | colspan="5" style="background-color:#e8e8e8;" | 205 | colspan="3" style="background-color:#e8e8e8;" | 105 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enosh | colspan="5" style="background-color:#e8e8e8;" | 190 | colspan="3" style="background-color:#e8e8e8;" | 90 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Kenan | colspan="5" style="background-color:#e8e8e8;" | 170 | colspan="3" style="background-color:#e8e8e8;" | 70 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Mahalalel | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="2" style="background-color:#e8e8e8;" | 65 | colspan="1" style="background-color:#e8e8e8;" | 66 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Jared | colspan="6" style="background-color:#f9f9f9;" | 162 | colspan="1" style="background-color:#f9f9f9;" | 62 | colspan="1" style="background-color:#f9f9f9;" | 61 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Enoch | colspan="5" style="background-color:#e8e8e8;" | 165 | colspan="3" style="background-color:#e8e8e8;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Methuselah | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 167 | colspan="3" style="background-color:#f9f9f9;" | 167 / 187 | colspan="1" style="background-color:#f9f9f9;" | 187 | colspan="1" style="background-color:#f9f9f9;" | 67 | colspan="1" style="background-color:#f9f9f9;" | 65 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Lamech | colspan="4" style="background-color:#f9f9f9;" | 188 | colspan="1" style="background-color:#f9f9f9;" | 182 / 188 | colspan="1" style="background-color:#f9f9f9;" | 182 | colspan="1" style="background-color:#f9f9f9;" | 53 | colspan="1" style="background-color:#f9f9f9;" | 55 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Noah | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="3" style="background-color:#e8e8e8;" | Varied | rowspan="2" style="background-color:#e8e8e8;" | 600 | rowspan="2" colspan="2" style="background-color:#e8e8e8;" | 602 |- ! colspan="1" style="text-align:left; background-color:#f9f9f9;" | Shem |- style="background-color:#333; color:white; font-weight:bold; font-size:15px;" ! colspan="1" style="text-align:left; color:black;" | Pre-Flood TOTAL | colspan="1" | 2264 | colspan="1" | 2262 | colspan="1" | 2242 | colspan="3" | Varied | colspan="1" | 1656 | colspan="1" | 1309 | colspan="1" | 1309 |} ik7y24f77yli4dghj52l9fs599d8hai 0 332799 2844439 2026-11-04T09:42:13Z JK010707 3113290 added content 2844439 wikitext text/x-wiki == Introduction == The Nemesis System is a video game mechanic developed by Monolith Productions, first introduced in the 2014 game Middle-earth: Shadow of Mordor. It allows non-player characters, particularly enemy orcs or “Uruks”, to remember previous encounters the player had with them and develop unique personalities and traits. Enemies may be promoted to higher positions in their army after defeating the player, and they can develop rivalries or become allies with the player. <ref name=":1">{{Cite web|url=https://www.engadget.com/2014-01-23-research-is-a-vehicle-for-revenge-in-middle-earth-shadow-of-mor.html|title=Research is a vehicle for revenge in Middle-earth: Shadow of Mordor|last=Hinkle|first=David|date=2014-01-23|website=Engadget|language=en-US|access-date=2026-11-04}}</ref> The system uses procedural generation to create unique enemies, and it programs the non-playable characters to create the new encounters. It was later expanded in Middle-earth: Shadow of War, released in 2017. Warner Bros. Entertainment Inc., the company that published the game, later obtained a patent covering aspects of the system in 2021. == History and Development == The Nemesis System was developed by Monolith Productions for Middle-earth: Shadow of Mordor. The developers wanted to create a game where enemies could remember their interactions with the player, rather than simply disappearing after being defeated. This gave more depth to the open-world gameplay as players progressed through the story. The idea was influenced by sports games and tabletop role-playing games. Sports games inspired the rivalries that develop over time, where losing to an opponent does not end the competition but instead creates a new one. Role-playing games inspired the developers to give enemies distinctive personalities, abilities, and characteristics that would make them memorable.<ref name=":2">{{Cite web|url=https://www.gamespot.com/articles/shadow-of-mordor-s-nemesis-system-was-inspired-by/1100-6423740/|title=Shadow of Mordor's Nemesis System Was Inspired by Batman and Sports Games|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> The system’s basic framework was established approximately three months into the game’s three-year development. Initially, the developers experimented with more complicated relationships between orcs, including rivalries and conflicts within their ranks. However, these ideas were eventually simplified to focus more on individual enemies and their relationships with the player.<ref name=":2" /> Monolith had previously worked on a cancelled Batman game, codenamed “Project Apollo”. The project included an early version of the Nemesis System, which would have allowed enemies to remember their encounters with Batman. After the project was cancelled, Monolith eventually developed Shadow of Mordor, where the system became one of the game’s main features.<ref>{{Cite web|url=https://www.gamespot.com/articles/more-footage-for-batman-game-that-became-shadow-of-mordor-surfaces-online/1100-6522392/|title=More(dor) Batman Footage For Game That Became Shadow Of Mordor Surfaces Online|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> == How the Nemesis System Works == The Nemesis System tracks interactions between the player and individual enemy characters. Certain enemies become important characters when they perform notable actions, such as defeating the player or surviving an encounter.<ref name=":3">{{Cite web|url=https://gameinformer.com/games/middle-earth_shadow_of_mordor/b/playstation4/archive/2014/09/25/middle-earth-shadow-of-mordor-game-informer-review|title=Middle-earth: Shadow of Mordor Review: Emergent Action Evolves|last=Miller|first=Matt|date=2014-09-30|website=Game Informer|language=en|access-date=2026-11-04}}</ref> In Middle-earth: Shadow of Mordor, these enemies can be promoted to captains within Sauron's army. If an enemy kills the player, it can gain additional strength and move up in the army hierarchy. This makes future encounters more challenging. Enemies who survive previous battles may also remember the player and develop physical scars or new characteristics based on what happened. For example, an Uruk who was burned during an encounter may return with burn scars and a desire for revenge.<ref>{{Cite web|url=https://www.gamesradar.com/shadow-mordor-nemesis-system-amazing-how-works/|title=Shadow of Mordor's Nemesis system is amazing--here's how it works|date=2014-08-29|website=GamesRadar+|language=en|access-date=2026-11-04}}</ref> Another important feature is the ability to brand enemies and turn them against Sauron's army. Players can recruit Uruks, influence their positions within the hierarchy, and create conflicts between enemy groups.<ref name=":1" /> == Procedural Generation and Behavior == Procedural generation plays an important role in the Nemesis System by allowing the game to create different enemy characters instead of relying entirely on predetermined characters. Each enemy can have a unique name, appearance, personality, strengths, and fears. These characteristics are combined to create a large variety of possible enemies.<ref name=":1" /> Programmed behaviors help determine how these characters interact with the player and the game world. For example, enemies can remember previous encounters, recognize the player, and react differently depending on their past experiences. Some enemies may attempt to avoid the player because of previous defeats, while others may seek revenge. The system also allows enemies to interact with one another independently of the player. They can compete for higher positions, challenge other captains, and gain power within Sauron's army. These interactions allow the hierarchy to change over time and create new gameplay situations.<ref name=":3" /> == Warner Bros. Patent == Warner Bros. Entertainment Inc. filed a patent application for the Nemesis System on March 25, 2016. The patent, titled Nemesis Characters, Nemesis Forts, Social Vendettas and Followers in Computer Games, was officially granted on February 23, 2021, under U.S. Patent No. [https://patents.google.com/patent/US10926179B2/en US10926179B2]. The patent describes methods for creating and managing NPCs, including changing character attributes based on interactions between characters and players. It covers aspects such as enemy hierarchies, character relationships, and followers that can influence events within a game. The patent does not give Warner Bros. ownership over every possible mechanic involving enemies that remember players. Instead, it protects the specific inventions described in its patent claims. The approval of the patent attracted attention because the Nemesis System was considered a unique gameplay mechanic that other developers might want to experiment with. Warner Bros. faced multiple attempts before successfully obtaining approval for the patent.<ref>{{Cite web|url=https://www.ign.com/articles/wb-games-nemesis-system-patent-was-approved-this-week-after-multiple-attempts|title=WB Games' Nemesis System Patent Was Approved This Week After Multiple Attempts|last=Ryan|first=Jon|date=2021-02-05|website=IGN|language=en|access-date=2026-11-04}}</ref> == Effects on the Video Game Industry == Warner Bros.' patent has raised discussions about how intellectual property rights can affect innovation in the video game industry. The Nemesis System demonstrated how enemy interactions and procedural generation could create more personalized gameplay experiences. Some developers and players believe that similar systems could improve other games by creating more memorable enemies and unique storylines. However, patent protection may discourage developers from experimenting with mechanics that closely resemble the patented inventions because of potential legal complications. This could be especially challenging for smaller development studios that have fewer resources to deal with legal disputes. Although developers can still create their own systems involving enemy relationships and procedural generation, they must be careful not to infringe on existing patent claims. The Nemesis System demonstrates the potential of combining procedural generation and character interactions to create unique gaming experiences. However, its patent also raises questions about balancing the protection of inventions with allowing other developers to build upon existing gameplay ideas. reference 8: Yin-Poole, W. (2021, September 30). Warner Bros is trying to patent Middle-Earth: Shadow of Mordor's Nemesis system. Eurogamer. <nowiki>https://www.eurogamer.net/warner-bros-is-trying-to-patent-middle-earth-shadow-of-mordors-nemesis-system</nowiki> 2phrt9nufxjdpca831xg1olzd5rj1r3 2844440 2844439 2026-11-04T09:54:55Z JK010707 3113290 2844440 wikitext text/x-wiki == Introduction == The Nemesis System is a video game mechanic developed by Monolith Productions, first introduced in the 2014 game Middle-earth: Shadow of Mordor. It allows non-player characters, particularly enemy orcs or “Uruks”, to remember previous encounters the player had with them and develop unique personalities and traits. Enemies may be promoted to higher positions in their army after defeating the player, and they can develop rivalries or become allies with the player. <ref name=":1">{{Cite web|url=https://www.engadget.com/2014-01-23-research-is-a-vehicle-for-revenge-in-middle-earth-shadow-of-mor.html|title=Research is a vehicle for revenge in Middle-earth: Shadow of Mordor|last=Hinkle|first=David|date=2014-01-23|website=Engadget|language=en-US|access-date=2026-11-04}}</ref> The system uses procedural generation to create unique enemies, and it programs the non-playable characters to create the new encounters. It was later expanded in Middle-earth: Shadow of War, released in 2017. Warner Bros. Entertainment Inc., the company that published the game, later obtained a patent covering aspects of the system in 2021. == History and Development == The Nemesis System was developed by Monolith Productions for Middle-earth: Shadow of Mordor. The developers wanted to create a game where enemies could remember their interactions with the player, rather than simply disappearing after being defeated. This gave more depth to the open-world gameplay as players progressed through the story. The idea was influenced by sports games and tabletop role-playing games. Sports games inspired the rivalries that develop over time, where losing to an opponent does not end the competition but instead creates a new one. Role-playing games inspired the developers to give enemies distinctive personalities, abilities, and characteristics that would make them memorable.<ref name=":2">{{Cite web|url=https://www.gamespot.com/articles/shadow-of-mordor-s-nemesis-system-was-inspired-by/1100-6423740/|title=Shadow of Mordor's Nemesis System Was Inspired by Batman and Sports Games|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> The system’s basic framework was established approximately three months into the game’s three-year development. Initially, the developers experimented with more complicated relationships between orcs, including rivalries and conflicts within their ranks. However, these ideas were eventually simplified to focus more on individual enemies and their relationships with the player.<ref name=":2" /> Monolith had previously worked on a cancelled Batman game, codenamed “Project Apollo”. The project included an early version of the Nemesis System, which would have allowed enemies to remember their encounters with Batman. After the project was cancelled, Monolith eventually developed Shadow of Mordor, where the system became one of the game’s main features.<ref>{{Cite web|url=https://www.gamespot.com/articles/more-footage-for-batman-game-that-became-shadow-of-mordor-surfaces-online/1100-6522392/|title=More(dor) Batman Footage For Game That Became Shadow Of Mordor Surfaces Online|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> == How the Nemesis System Works == The Nemesis System tracks interactions between the player and individual enemy characters. Certain enemies become important characters when they perform notable actions, such as defeating the player or surviving an encounter.<ref name=":3">{{Cite web|url=https://gameinformer.com/games/middle-earth_shadow_of_mordor/b/playstation4/archive/2014/09/25/middle-earth-shadow-of-mordor-game-informer-review|title=Middle-earth: Shadow of Mordor Review: Emergent Action Evolves|last=Miller|first=Matt|date=2014-09-30|website=Game Informer|language=en|access-date=2026-11-04}}</ref> In Middle-earth: Shadow of Mordor, these enemies can be promoted to captains within Sauron's army. If an enemy kills the player, it can gain additional strength and move up in the army hierarchy. This makes future encounters more challenging. Enemies who survive previous battles may also remember the player and develop physical scars or new characteristics based on what happened. For example, an Uruk who was burned during an encounter may return with burn scars and a desire for revenge.<ref>{{Cite web|url=https://www.gamesradar.com/shadow-mordor-nemesis-system-amazing-how-works/|title=Shadow of Mordor's Nemesis system is amazing--here's how it works|date=2014-08-29|website=GamesRadar+|language=en|access-date=2026-11-04}}</ref> Another important feature is the ability to brand enemies and turn them against Sauron's army. Players can recruit Uruks, influence their positions within the hierarchy, and create conflicts between enemy groups.<ref name=":1" /> == Procedural Generation and Behavior == Procedural generation plays an important role in the Nemesis System by allowing the game to create different enemy characters instead of relying entirely on predetermined characters. Each enemy can have a unique name, appearance, personality, strengths, and fears. These characteristics are combined to create a large variety of possible enemies.<ref name=":1" /> Programmed behaviors help determine how these characters interact with the player and the game world. For example, enemies can remember previous encounters, recognize the player, and react differently depending on their past experiences. Some enemies may attempt to avoid the player because of previous defeats, while others may seek revenge. The system also allows enemies to interact with one another independently of the player. They can compete for higher positions, challenge other captains, and gain power within Sauron's army. These interactions allow the hierarchy to change over time and create new gameplay situations.<ref name=":3" /> == Warner Bros. Patent == Warner Bros. Entertainment Inc. filed a patent application for the Nemesis System on March 25, 2016. The patent, titled Nemesis Characters, Nemesis Forts, Social Vendettas and Followers in Computer Games, was officially granted on February 23, 2021, under U.S. Patent No. [https://patents.google.com/patent/US10926179B2/en US10926179B2]. The patent describes methods for creating and managing NPCs, including changing character attributes based on interactions between characters and players. It covers aspects such as enemy hierarchies, character relationships, and followers that can influence events within a game. The patent does not give Warner Bros. ownership over every possible mechanic involving enemies that remember players. Instead, it protects the specific inventions described in its patent claims. The approval of the patent attracted attention because the Nemesis System was considered a unique gameplay mechanic that other developers might want to experiment with. Warner Bros. faced multiple attempts before successfully obtaining approval for the patent.<ref>{{Cite web|url=https://www.ign.com/articles/wb-games-nemesis-system-patent-was-approved-this-week-after-multiple-attempts|title=WB Games' Nemesis System Patent Was Approved This Week After Multiple Attempts|last=Ryan|first=Jon|date=2021-02-05|website=IGN|language=en|access-date=2026-11-04}}</ref> == Effects on the Video Game Industry == Warner Bros.' patent has raised discussions about how intellectual property rights can affect innovation in the video game industry. The Nemesis System demonstrated how enemy interactions and procedural generation could create more personalized gameplay experiences. Some developers and players believe that similar systems could improve other games by creating more memorable enemies and unique storylines. However, patent protection may discourage developers from experimenting with mechanics that closely resemble the patented inventions because of potential legal complications. This could be especially challenging for smaller development studios that have fewer resources to deal with legal disputes. Although developers can still create their own systems involving enemy relationships and procedural generation, they must be careful not to infringe on existing patent claims. The Nemesis System demonstrates the potential of combining procedural generation and character interactions to create unique gaming experiences. However, its patent also raises questions about balancing the protection of inventions with allowing other developers to build upon existing gameplay ideas. reference 8: Yin-Poole, W. (2021, September 30). Warner Bros is trying to patent Middle-Earth: Shadow of Mordor's Nemesis system. Eurogamer. <nowiki>https://www.eurogamer.net/warner-bros-is-trying-to-patent-middle-earth-shadow-of-mordors-nemesis-system</nowiki> ==References== {{reflist}} 1v9s4wl4iboahjxyskhp3xtu62v3rws 2844442 2844440 2026-11-04T10:16:57Z JK010707 3113290 /* Effects on the Video Game Industry */ changed reference to numbered list 2844442 wikitext text/x-wiki == Introduction == The Nemesis System is a video game mechanic developed by Monolith Productions, first introduced in the 2014 game ''Middle-earth: Shadow of Mordor''. It allows non-player characters, particularly enemy orcs or “Uruks”, to remember previous encounters the player had with them and develop unique personalities and traits. Enemies may be promoted to higher positions in their army after defeating the player, and they can develop rivalries or become allies with the player. <ref name=":1">{{Cite web|url=https://www.engadget.com/2014-01-23-research-is-a-vehicle-for-revenge-in-middle-earth-shadow-of-mor.html|title=Research is a vehicle for revenge in Middle-earth: Shadow of Mordor|last=Hinkle|first=David|date=2014-01-23|website=Engadget|language=en-US|access-date=2026-11-04}}</ref> The system uses procedural generation to create unique enemies, and it programs the non-playable characters to create the new encounters. It was later expanded in Middle-earth: Shadow of War, released in 2017. Warner Bros. Entertainment Inc., the company that published the game, later obtained a patent covering aspects of the system in 2021. == History and Development == The Nemesis System was developed by Monolith Productions for Middle-earth: Shadow of Mordor. The developers wanted to create a game where enemies could remember their interactions with the player, rather than simply disappearing after being defeated. This gave more depth to the open-world gameplay as players progressed through the story. The idea was influenced by sports games and tabletop role-playing games. Sports games inspired the rivalries that develop over time, where losing to an opponent does not end the competition but instead creates a new one. Role-playing games inspired the developers to give enemies distinctive personalities, abilities, and characteristics that would make them memorable.<ref name=":2">{{Cite web|url=https://www.gamespot.com/articles/shadow-of-mordor-s-nemesis-system-was-inspired-by/1100-6423740/|title=Shadow of Mordor's Nemesis System Was Inspired by Batman and Sports Games|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> The system’s basic framework was established approximately three months into the game’s three-year development. Initially, the developers experimented with more complicated relationships between orcs, including rivalries and conflicts within their ranks. However, these ideas were eventually simplified to focus more on individual enemies and their relationships with the player.<ref name=":2" /> Monolith had previously worked on a cancelled Batman game, codenamed “Project Apollo”. The project included an early version of the Nemesis System, which would have allowed enemies to remember their encounters with Batman. After the project was cancelled, Monolith eventually developed Shadow of Mordor, where the system became one of the game’s main features.<ref>{{Cite web|url=https://www.gamespot.com/articles/more-footage-for-batman-game-that-became-shadow-of-mordor-surfaces-online/1100-6522392/|title=More(dor) Batman Footage For Game That Became Shadow Of Mordor Surfaces Online|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> == How the Nemesis System Works == The Nemesis System tracks interactions between the player and individual enemy characters. Certain enemies become important characters when they perform notable actions, such as defeating the player or surviving an encounter.<ref name=":3">{{Cite web|url=https://gameinformer.com/games/middle-earth_shadow_of_mordor/b/playstation4/archive/2014/09/25/middle-earth-shadow-of-mordor-game-informer-review|title=Middle-earth: Shadow of Mordor Review: Emergent Action Evolves|last=Miller|first=Matt|date=2014-09-30|website=Game Informer|language=en|access-date=2026-11-04}}</ref> In Middle-earth: Shadow of Mordor, these enemies can be promoted to captains within Sauron's army. If an enemy kills the player, it can gain additional strength and move up in the army hierarchy. This makes future encounters more challenging. Enemies who survive previous battles may also remember the player and develop physical scars or new characteristics based on what happened. For example, an Uruk who was burned during an encounter may return with burn scars and a desire for revenge.<ref>{{Cite web|url=https://www.gamesradar.com/shadow-mordor-nemesis-system-amazing-how-works/|title=Shadow of Mordor's Nemesis system is amazing--here's how it works|date=2014-08-29|website=GamesRadar+|language=en|access-date=2026-11-04}}</ref> Another important feature is the ability to brand enemies and turn them against Sauron's army. Players can recruit Uruks, influence their positions within the hierarchy, and create conflicts between enemy groups.<ref name=":1" /> == Procedural Generation and Behavior == Procedural generation plays an important role in the Nemesis System by allowing the game to create different enemy characters instead of relying entirely on predetermined characters. Each enemy can have a unique name, appearance, personality, strengths, and fears. These characteristics are combined to create a large variety of possible enemies.<ref name=":1" /> Programmed behaviors help determine how these characters interact with the player and the game world. For example, enemies can remember previous encounters, recognize the player, and react differently depending on their past experiences. Some enemies may attempt to avoid the player because of previous defeats, while others may seek revenge. The system also allows enemies to interact with one another independently of the player. They can compete for higher positions, challenge other captains, and gain power within Sauron's army. These interactions allow the hierarchy to change over time and create new gameplay situations.<ref name=":3" /> == Warner Bros. Patent == Warner Bros. Entertainment Inc. filed a patent application for the Nemesis System on March 25, 2016. The patent, titled Nemesis Characters, Nemesis Forts, Social Vendettas and Followers in Computer Games, was officially granted on February 23, 2021, under U.S. Patent No. [https://patents.google.com/patent/US10926179B2/en US10926179B2]. The patent describes methods for creating and managing NPCs, including changing character attributes based on interactions between characters and players. It covers aspects such as enemy hierarchies, character relationships, and followers that can influence events within a game. The patent does not give Warner Bros. ownership over every possible mechanic involving enemies that remember players. Instead, it protects the specific inventions described in its patent claims. The approval of the patent attracted attention because the Nemesis System was considered a unique gameplay mechanic that other developers might want to experiment with. Warner Bros. faced multiple attempts before successfully obtaining approval for the patent.<ref>{{Cite web|url=https://www.ign.com/articles/wb-games-nemesis-system-patent-was-approved-this-week-after-multiple-attempts|title=WB Games' Nemesis System Patent Was Approved This Week After Multiple Attempts|last=Ryan|first=Jon|date=2021-02-05|website=IGN|language=en|access-date=2026-11-04}}</ref> == Effects on the Video Game Industry == The Warner Bros.' patent on the Nemesis System has raised a discussion on how intellectual property rights can affect innovation in the video game industry specifically. The Nemesis System has demonstrated how enemy interactions and procedural generation in video games could create an immersive gameplay experience. Developers and players believe that similar systems could improve other games by creating more interesting enemies and unique side quests. However, this patents and many like it may discourage developers from experimenting with mechanics that resemble the patented inventions because of potential legal complications.<ref>{{Cite news|url=https://www.eurogamer.net/warner-bros-is-trying-to-patent-middle-earth-shadow-of-mordors-nemesis-system|title=Warner Bros is trying to patent Middle-Earth: Shadow of Mordor's Nemesis system|date=2021-01-30|work=Eurogamer.net|access-date=2026-11-04|language=en}}</ref> This could be especially challenging for smaller development studios that have fewer resources to deal with legal disputes. Although developers can still create their own systems involving enemy relationships and procedural generation, they must be careful not to infringe on existing patent claims. ==References== {{reflist|liststyle=decimal}} gy1r0pq07ppj628d3r5sqwdojn70ewk 2844448 2844442 2026-11-04T11:07:30Z JK010707 3113290 2844448 wikitext text/x-wiki == Introduction == The Nemesis System is a video game mechanic developed by Monolith Productions, and was first introduced in the 2014 game ''Middle-earth: Shadow of Mordor''. It allows non-player characters, or NPCs, to remember previous encounters the player had with them and develop unique characteristics. Enemies may be promoted to higher positions in their army after defeating the player, and they can develop rivalries or become allies with the player. <ref name=":1">{{Cite web|url=https://www.engadget.com/2014-01-23-research-is-a-vehicle-for-revenge-in-middle-earth-shadow-of-mor.html|title=Research is a vehicle for revenge in Middle-earth: Shadow of Mordor|last=Hinkle|first=David|date=2014-01-23|website=Engadget|language=en-US|access-date=2026-11-04}}</ref> The system uses procedural generation to create new enemies, so each enemy will be different from one another. It programs the enemies to remember the prior encounters with the player through dialogue, increase in strength, or visual differences. The system was later expanded upon in the sequel, ''Middle-earth: Shadow of War'', released in 2017. Warner Bros. Entertainment Inc., the company that published the game, later obtained a patent covering aspects of the system in 2021. == History and Development == The Nemesis System was developed by Monolith Productions for ''Middle-earth: Shadow of Mordor''. The developers wanted to create a game where non-story enemies could remember their interactions with the player, rather than simply disappearing after being defeated. This gave more depth to the open-world gameplay as players progressed through the story. The idea for the system was influenced by sports games and tabletop role-playing games. Sports games inspired the rivalries that develop over time, where winning or losing to an opponent does not end their appearance in the game. Role-playing games inspired the developers to give enemies distinctive personalities, abilities, and characteristics that would make them memorable.<ref name=":2">{{Cite web|url=https://www.gamespot.com/articles/shadow-of-mordor-s-nemesis-system-was-inspired-by/1100-6423740/|title=Shadow of Mordor's Nemesis System Was Inspired by Batman and Sports Games|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> The system’s basic framework was established approximately three months into the game’s three-year development. Initially, the developers experimented with more complicated relationships between orcs, including rivalries and conflicts within their ranks. However, these ideas were eventually simplified to focus more on individual enemies and their relationships with the player.<ref name=":2" /> Monolith had previously worked on a cancelled Batman game, codenamed “Project Apollo”. The project included an early version of the Nemesis System, which would have allowed enemies to remember their encounters with Batman. After the project was cancelled, Monolith eventually developed Shadow of Mordor, where the system became one of the game’s main features.<ref>{{Cite web|url=https://www.gamespot.com/articles/more-footage-for-batman-game-that-became-shadow-of-mordor-surfaces-online/1100-6522392/|title=More(dor) Batman Footage For Game That Became Shadow Of Mordor Surfaces Online|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> == How the Nemesis System Works == The Nemesis System tracks interactions between the player and individual enemy characters. Certain enemies become important characters when they perform notable actions, such as defeating the player or surviving an encounter.<ref name=":3">{{Cite web|url=https://gameinformer.com/games/middle-earth_shadow_of_mordor/b/playstation4/archive/2014/09/25/middle-earth-shadow-of-mordor-game-informer-review|title=Middle-earth: Shadow of Mordor Review: Emergent Action Evolves|last=Miller|first=Matt|date=2014-09-30|website=Game Informer|language=en|access-date=2026-11-04}}</ref> In Middle-earth: Shadow of Mordor, these enemies can be promoted to captains within Sauron's army. If an enemy kills the player, it can gain additional strength and move up in the army hierarchy. This makes future encounters more challenging. Enemies who survive previous battles may also remember the player and develop physical scars or new characteristics based on what happened. For example, an Uruk who was burned during an encounter may return with burn scars and a desire for revenge.<ref>{{Cite web|url=https://www.gamesradar.com/shadow-mordor-nemesis-system-amazing-how-works/|title=Shadow of Mordor's Nemesis system is amazing--here's how it works|date=2014-08-29|website=GamesRadar+|language=en|access-date=2026-11-04}}</ref> Another important feature is the ability to brand enemies and turn them against Sauron's army. Players can recruit Uruks, influence their positions within the hierarchy, and create conflicts between enemy groups.<ref name=":1" /> == Procedural Generation and Behavior == Procedural generation plays an important role in the Nemesis System by allowing the game to create different enemy characters instead of relying entirely on predetermined ones. Each enemy can have a unique name, appearance, personality, strengths, and fears. These characteristics are combined to create a large variety of possible enemies.<ref name=":1" /> Programmed behaviors help determine how these characters interact with the player and the game world. For example, enemies can remember previous encounters, recognize the player, and react differently depending on their past experiences. Some enemies may attempt to avoid the player because of previous defeats, while others may seek revenge. These interactions allow the player's experiences to change over time and create new gameplay situations.<ref name=":3" /> == Warner Bros. Patent == Warner Bros. Entertainment Inc. filed a patent application for the Nemesis System on March 25, 2016. The patent, titled ''Nemesis Characters, Nemesis Forts, Social Vendettas and Followers in Computer Games'', was officially granted on February 23, 2021, under U.S. Patent No. [https://patents.google.com/patent/US10926179B2/en US10926179B2]. The patent provides a description that covers programming NPCs with predetermined behavior, and NPCs that fit the description of a "Nemesis", which is an NPC that remembers previous interactions and evolves throughout the game, per the Nemesis System. It covers aspects such as enemy hierarchies, character relationships, and followers that can influence events within a game. The patent does not give Warner Bros. ownership over every possible mechanic involving enemies that remember players. The approval of the patent attracted attention because the Nemesis System was considered a unique gameplay mechanic that other game developers might want to experiment with. Warner Bros. faced multiple attempts and lots of editing before they could obtain approval for the patent.<ref>{{Cite web|url=https://www.ign.com/articles/wb-games-nemesis-system-patent-was-approved-this-week-after-multiple-attempts|title=WB Games' Nemesis System Patent Was Approved This Week After Multiple Attempts|last=Ryan|first=Jon|date=2021-02-05|website=IGN|language=en|access-date=2026-11-04}}</ref> == Effects on the Video Game Industry == The Warner Bros.' patent on the Nemesis System has raised a discussion on how intellectual property rights can affect innovation in the video game industry specifically. The Nemesis System has demonstrated how enemy interactions and procedural generation in video games could create an immersive gameplay experience. Developers and players believe that similar systems could improve other games by creating more interesting enemies and unique side quests. However, this patents and many like it may discourage developers from experimenting with mechanics that resemble the patented inventions because of potential legal complications.<ref>{{Cite news|url=https://www.eurogamer.net/warner-bros-is-trying-to-patent-middle-earth-shadow-of-mordors-nemesis-system|title=Warner Bros is trying to patent Middle-Earth: Shadow of Mordor's Nemesis system|date=2021-01-30|work=Eurogamer.net|access-date=2026-11-04|language=en}}</ref> This could be especially challenging for smaller development studios that have fewer resources to deal with legal disputes. Although developers can still create their own systems involving enemy relationships and procedural generation, they must be careful not to infringe on existing patent claims. ==References== {{reflist|liststyle=decimal}} 2gmbcfbpdyro4ifhy20jujjuex9922p 2844452 2844448 2026-11-04T11:54:27Z JK010707 3113290 revised information 2844452 wikitext text/x-wiki == Introduction == The Nemesis System is a video game mechanic developed by Monolith Productions and was first introduced in the 2014 game ''Middle-earth: Shadow of Mordor''. It allows non-player characters, otherwise known as NPCs, to remember previous encounters the player had with them and develop unique characteristics. Enemies may be promoted to higher positions in their army after defeating the player, and they can develop rivalries or become allies with the player. <ref name=":1">{{Cite web|url=https://www.engadget.com/2014-01-23-research-is-a-vehicle-for-revenge-in-middle-earth-shadow-of-mor.html|title=Research is a vehicle for revenge in Middle-earth: Shadow of Mordor|last=Hinkle|first=David|date=2014-01-23|website=Engadget|language=en-US|access-date=2026-11-04}}</ref> The system uses procedural generation to create new enemies, so each enemy will be different from one another. It programs the enemies to remember the prior encounters with the player through dialogue, increase in strength, or visual differences. The system was later expanded upon in the sequel, ''Middle-earth: Shadow of War'', released in 2017. Warner Bros. Entertainment Inc., the company that published the game, later obtained a patent covering aspects of the system in 2021. == History and Development == The Nemesis System was developed by Monolith Productions for ''Middle-earth: Shadow of Mordor''. The developers wanted to create a game where enemies that weren't a main part of the story, like main characters or bosses, could remember their interactions with the player, rather than having them simply disappear after being defeated. This gave more depth to the open-world gameplay as players progressed through the story. The idea for the Nemesis System was mainly influenced by sports and role-playing games. Sports games inspired the rivalries that develop over time, where winning or losing to an opponent does not end their appearance in the game. On the other hand, role-playing games inspired the developers to give enemies distinctive personalities, abilities, and characteristics that would make them memorable to the player.<ref name=":2">{{Cite web|url=https://www.gamespot.com/articles/shadow-of-mordor-s-nemesis-system-was-inspired-by/1100-6423740/|title=Shadow of Mordor's Nemesis System Was Inspired by Batman and Sports Games|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> The framework for the Nemesis System was laid out approximately three months into the game’s three-year development. Initially, the developers experimented with more complicated features, such as relationships between enemies, including rivalries and conflicts within their ranks. However, these ideas were eventually simplified to focus more on individual enemies and their relationships with the player.<ref name=":2" /> Monolith was previously working on a Batman game, codenamed ''Apollo''. The project included an earlier version of the Nemesis System, which would have allowed enemies to remember their encounters with Batman. The game's production was cancelled, however, so Monolith eventually developed Shadow of Mordor, where the system became one of the game’s main features.<ref>{{Cite web|url=https://www.gamespot.com/articles/more-footage-for-batman-game-that-became-shadow-of-mordor-surfaces-online/1100-6522392/|title=More(dor) Batman Footage For Game That Became Shadow Of Mordor Surfaces Online|website=GameSpot|language=en-US|access-date=2026-11-04}}</ref> == How the Nemesis System Works == The Nemesis System keeps track of interactions between the player and individual enemies. Regular enemies can become more important later on by defeating the player or surviving an encounter with them.<ref name=":3">{{Cite web|url=https://gameinformer.com/games/middle-earth_shadow_of_mordor/b/playstation4/archive/2014/09/25/middle-earth-shadow-of-mordor-game-informer-review|title=Middle-earth: Shadow of Mordor Review: Emergent Action Evolves|last=Miller|first=Matt|date=2014-09-30|website=Game Informer|language=en|access-date=2026-11-04}}</ref> In ''Middle-earth: Shadow of Mordor'', these enemies, called orcs or ''Uruks'', can be promoted to captains within Sauron's army. If an Uruk kills the player, it can gain additional strength and move up in the army hierarchy. This makes future encounters with that same enemy more challenging. Enemies who survive previous battles may also remember the player and develop physical scars or new characteristics based on what happened. For example, an Uruk who was burned during an encounter may return with burn scars and a desire for revenge.<ref name=":4">{{Cite web|url=https://www.gamesradar.com/shadow-mordor-nemesis-system-amazing-how-works/|title=Shadow of Mordor's Nemesis system is amazing--here's how it works|date=2014-08-29|website=GamesRadar+|language=en|access-date=2026-11-04}}</ref> Another feature of the Nemesis system, specifically in Shadow of Mordor, is the ability to ally with enemies and turn them against Sauron's army. Players can recruit Uruks and create conflicts between enemy groups.<ref name=":1" /> == Procedural Generation and Behavior == Procedural generation plays an important role in the Nemesis System by allowing the game to create enemies from a mix and match of different stats instead of relying entirely on predetermined ones that look the same. Each enemy has a unique name, appearance, personality, strengths, and fears.<ref name=":1" /> These characteristics are combined to create a large variety of possible enemies. Most of the names are combinations of different first names with a title attached to it, for example, "Humgrat the Unkillable".<ref name=":4" /> Programmed changes in behavior of enemies help determine how these they interact with the player and the game's open-world. For example, enemies can recognize the player from a previous encounter, and react differently depending on their past experiences. Some enemies may attempt to avoid the player because of previous defeats, while others may seek revenge. These interactions allow the player's experiences to change over time and create new gameplay situations.<ref name=":3" /> == Warner Bros. Patent == Warner Bros. Entertainment Inc. filed a patent application for the Nemesis System on March 25, 2016. The patent, titled ''Nemesis Characters, Nemesis Forts, Social Vendettas and Followers in Computer Games'', was officially granted on February 23, 2021, under U.S. Patent No. [https://patents.google.com/patent/US10926179B2/en US10926179B2]. The patent provides a description that covers programming NPCs with predetermined behavior, and NPCs that fit the description of a "Nemesis", which is an NPC that remembers previous interactions and evolves throughout the game, per the Nemesis System. It covers aspects such as enemy hierarchies, character relationships, and followers that can influence events within a game. However, the patent does not give Warner Bros. ownership over every possible mechanic involving enemies that remember players. The approval of the patent attracted attention because the Nemesis System was considered a unique gameplay mechanic that other game developers might want to experiment with. Warner Bros. faced multiple attempts and lots of editing before they could obtain approval for the patent.<ref>{{Cite web|url=https://www.ign.com/articles/wb-games-nemesis-system-patent-was-approved-this-week-after-multiple-attempts|title=WB Games' Nemesis System Patent Was Approved This Week After Multiple Attempts|last=Ryan|first=Jon|date=2021-02-05|website=IGN|language=en|access-date=2026-11-04}}</ref> == Effects on the Video Game Industry == The Warner Bros.' patent on the Nemesis System has raised a discussion on how intellectual property rights can affect innovation in the video game industry specifically. The Nemesis System has demonstrated how enemy interactions and procedural generation in video games creates an immersive gameplay experience. Developers and players believe that similar systems could improve other games by creating more interesting enemies and unique side quests. However, this patent and many like it may discourage developers from experimenting with mechanics that resemble the patented inventions because of potential legal complications.<ref>{{Cite news|url=https://www.eurogamer.net/warner-bros-is-trying-to-patent-middle-earth-shadow-of-mordors-nemesis-system|title=Warner Bros is trying to patent Middle-Earth: Shadow of Mordor's Nemesis system|date=2021-01-30|work=Eurogamer.net|access-date=2026-11-04|language=en}}</ref> This is especially challenging for small game studios, who may not have the resources to deal with many legal disputes. Although developers can still create their own systems that build from the Nemesis System, they must be careful not to infringe on existing patent claims. ==References== {{reflist|liststyle=decimal}} eopra7j1nedmj67li0d1rfyfja4f3f6